diff --git a/LICENSE b/LICENSE
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+++ b/LICENSE
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+                    GNU GENERAL PUBLIC LICENSE
+                       Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
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+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+    <program>  Copyright (C) <year>  <name of author>
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<https://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<https://www.gnu.org/licenses/why-not-lgpl.html>.
diff --git a/hic.cabal b/hic.cabal
new file mode 100644
--- /dev/null
+++ b/hic.cabal
@@ -0,0 +1,183 @@
+name:          hic
+version:       0.0.0.1
+synopsis:      High Integrity Cimple (Hic) inference and lowering
+homepage:      https://toktok.github.io/
+license:       GPL-3
+license-file:  LICENSE
+author:        Iphigenia Df <iphydf@gmail.com>
+maintainer:    Iphigenia Df <iphydf@gmail.com>
+copyright:     Copyright (c) 2016-2026, Iphigenia Df
+category:      Data
+stability:     Experimental
+cabal-version: >=1.10
+build-type:    Simple
+description:
+  Reverse compiler for Cimple, inferring higher-level constructs from C-like code.
+
+library
+  default-language: Haskell2010
+  hs-source-dirs:   src
+  ghc-options:      -Wall
+  exposed-modules:
+    Language.Cimple.Hic
+    Language.Cimple.Hic.Ast
+    Language.Cimple.Hic.Context
+    Language.Cimple.Hic.Feature
+    Language.Cimple.Hic.Inference
+    Language.Cimple.Hic.Inference.Context
+    Language.Cimple.Hic.Inference.Raise
+    Language.Cimple.Hic.Inference.Scoped
+    Language.Cimple.Hic.Inference.TaggedUnion
+    Language.Cimple.Hic.Inference.Type
+    Language.Cimple.Hic.Program
+    Language.Cimple.Hic.Program.Types
+    Language.Cimple.Analysis.Pretty
+    Language.Cimple.Analysis.Types
+    Language.Cimple.Analysis.Worklist
+    Language.Cimple.Analysis.TypeCheck
+    Language.Cimple.Analysis.GlobalStructuralAnalysis
+    Language.Cimple.Analysis.ArrayUsageAnalysis
+    Language.Cimple.Analysis.CallGraphAnalysis
+    Language.Cimple.Analysis.ConstraintGeneration
+    Language.Cimple.Analysis.OrderedSolver
+    Language.Cimple.Analysis.TypeSystem
+    Language.Cimple.Analysis.TypeSystem.AlgebraicSolver
+    Language.Cimple.Analysis.TypeSystem.Canonicalization
+    Language.Cimple.Analysis.TypeSystem.Constraints
+    Language.Cimple.Analysis.TypeSystem.GraphAlgebra
+    Language.Cimple.Analysis.TypeSystem.GraphSolver
+    Language.Cimple.Analysis.TypeSystem.Lattice
+    Language.Cimple.Analysis.TypeSystem.Qualification
+    Language.Cimple.Analysis.TypeSystem.Solver
+    Language.Cimple.Analysis.TypeSystem.Substitution
+    Language.Cimple.Analysis.TypeSystem.Transition
+    Language.Cimple.Analysis.TypeSystem.TypeGraph
+    Language.Cimple.Analysis.TypeSystem.Types
+    Language.Cimple.Analysis.TypeSystem.Unification
+    Language.Cimple.Analysis.Errors
+    Language.Cimple.Analysis.AstUtils
+    Language.Cimple.Analysis.BuiltinMap
+    Language.Cimple.Analysis.Builtins
+    Language.Cimple.Analysis.CFG
+    Language.Cimple.Analysis.DataFlow
+    Language.Cimple.Analysis.NullabilityAnalysis
+    Language.Cimple.Analysis.Scope
+    Language.Cimple.Analysis.TypeCheck.Constraints
+    Language.Cimple.Analysis.TypeCheck.Solver
+    Language.Cimple.Analysis.Refined.Context
+    Language.Cimple.Analysis.Refined.Inference
+    Language.Cimple.Analysis.Refined.Inference.Lifter
+    Language.Cimple.Analysis.Refined.Inference.Substitution
+    Language.Cimple.Analysis.Refined.Inference.Translator
+    Language.Cimple.Analysis.Refined.Inference.Types
+    Language.Cimple.Analysis.Refined.Inference.Utils
+    Language.Cimple.Analysis.Refined.Lattice
+    Language.Cimple.Analysis.Refined.LatticeOp
+    Language.Cimple.Analysis.Refined.PathContext
+    Language.Cimple.Analysis.Refined.Registry
+    Language.Cimple.Analysis.Refined.SemanticEquality
+    Language.Cimple.Analysis.Refined.Solver
+    Language.Cimple.Analysis.Refined.State
+    Language.Cimple.Analysis.Refined.Transition
+    Language.Cimple.Analysis.Refined.Types
+    Language.Cimple.Hic.Analyze
+    Language.Cimple.Hic.Inference.Iteration
+    Language.Cimple.Hic.Inference.Utils
+    Language.Cimple.Hic.Pretty
+  build-depends:
+      aeson
+    , base                 <5
+    , cimple               >=0.0.28
+    , containers
+    , data-fix
+    , hashable
+    , mtl
+    , prettyprinter
+    , prettyprinter-ansi-terminal
+    , QuickCheck
+    , text
+    , transformers-compat
+
+executable hic-check
+  default-language: Haskell2010
+  hs-source-dirs:   tools
+  ghc-options:      -Wall
+  main-is:          hic-check.hs
+  build-depends:
+      aeson
+    , base        <5
+    , bytestring
+    , cimple
+    , containers
+    , data-fix
+    , groom
+    , hic
+    , optparse-applicative
+    , prettyprinter
+    , prettyprinter-ansi-terminal
+    , process
+    , text
+
+test-suite testsuite
+  type:               exitcode-stdio-1.0
+  default-language:   Haskell2010
+  hs-source-dirs:     test
+  main-is:            testsuite.hs
+  other-modules:
+    Language.Cimple.HicSpec
+    Language.Cimple.Hic.InferenceSpec
+    Language.Cimple.Hic.Inference.TaggedUnionSpec
+    Language.Cimple.Analysis.GlobalStructuralAnalysisSpec
+    Language.Cimple.Analysis.TypeSystemSpec
+    Language.Cimple.Analysis.ArrayUsageAnalysisSpec
+    Language.Cimple.Analysis.CallGraphAnalysisSpec
+    Language.Cimple.Analysis.ConstraintGenerationSpec
+    Language.Cimple.Analysis.OrderedSolverSpec
+    Language.Cimple.Analysis.TypeSystem.GraphAlgebraSpec
+    Language.Cimple.Analysis.DataFlowSpec
+    Language.Cimple.Analysis.ErrorMessageSpec
+    Language.Cimple.Analysis.NullabilityAnalysisSpec
+    Language.Cimple.Analysis.ScopeSpec
+    Language.Cimple.Analysis.TypeCheck.ConstraintsSpec
+    Language.Cimple.Analysis.TypeCheck.SolverSpec
+    Language.Cimple.Analysis.TypeCheckSpec
+    Language.Cimple.Analysis.TypeSystem.AlgebraicSolverSpec
+    Language.Cimple.Analysis.TypeSystem.CanonicalizationSpec
+    Language.Cimple.Analysis.TypeSystem.ConstraintsSpec
+    Language.Cimple.Analysis.TypeSystem.GraphSolverSpec
+    Language.Cimple.Analysis.TypeSystem.LatticeSpec
+    Language.Cimple.Analysis.TypeSystem.SolverSpec
+    Language.Cimple.Analysis.TypeSystem.SubstitutionSpec
+    Language.Cimple.Analysis.TypeSystem.TransitionSpec
+    Language.Cimple.Analysis.TypeSystem.TypeGraphSpec
+    Language.Cimple.Analysis.TypeSystem.TypesSpec
+    Language.Cimple.Analysis.TypeSystem.UnificationSpec
+    Language.Cimple.Analysis.Refined.ContextSpec
+    Language.Cimple.Analysis.Refined.Arbitrary
+    Language.Cimple.Analysis.Refined.LatticeOpSpec
+    Language.Cimple.Analysis.Refined.PathContextSpec
+    Language.Cimple.Analysis.Refined.SemanticEqualitySpec
+    Language.Cimple.Analysis.Refined.TransitionSpec
+    Language.Cimple.Analysis.Refined.InferenceSpec
+    Language.Cimple.Analysis.Refined.Inference.LifterSpec
+    Language.Cimple.Analysis.Refined.Inference.SubstitutionSpec
+    Language.Cimple.Analysis.Refined.Inference.TranslatorSpec
+    Language.Cimple.Hic.Inference.IterationSpec
+    Language.Cimple.Hic.Inference.RaiseSpec
+    Language.Cimple.Hic.Inference.ScopedSpec
+
+  ghc-options:        -Wall -Wno-unused-imports
+  build-tool-depends: hspec-discover:hspec-discover
+  build-depends:
+      base                 <5
+    , cimple
+    , containers
+    , data-fix
+    , groom
+    , hic
+    , hspec
+    , QuickCheck
+    , mtl
+    , prettyprinter
+    , prettyprinter-ansi-terminal
+    , text
diff --git a/src/Language/Cimple/Analysis/ArrayUsageAnalysis.hs b/src/Language/Cimple/Analysis/ArrayUsageAnalysis.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/ArrayUsageAnalysis.hs
@@ -0,0 +1,239 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.ArrayUsageAnalysis
+    ( ArrayUsageResult (..)
+    , ArrayFlavor (..)
+    , ArrayIdentity (..)
+    , runArrayUsageAnalysis
+    ) where
+
+import           Control.Applicative                 ((<|>))
+import           Control.Monad.State.Strict          (State, execState)
+import qualified Control.Monad.State.Strict          as State
+import           Data.Aeson                          (ToJSON, ToJSONKey)
+import           Data.Fix                            (foldFix)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Set                            (Set)
+import qualified Data.Set                            as Set
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import           GHC.Generics                        (Generic)
+import           Language.Cimple                     (Lexeme (..), Node,
+                                                      NodeF (..))
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.AstUtils   (parseInteger)
+import           Language.Cimple.Analysis.TypeSystem (pattern BuiltinType,
+                                                      Phase (..),
+                                                      pattern Pointer,
+                                                      StdType (..),
+                                                      TypeDescr (..), TypeInfo,
+                                                      TypeRef (..),
+                                                      pattern TypeRef,
+                                                      TypeSystem, lookupType)
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+import qualified Language.Cimple.Program             as Program
+
+data ArrayFlavor
+    = FlavorHomogeneous   -- Only variable indices
+    | FlavorHeterogeneous  -- Only literal indices
+    | FlavorMixed         -- Both literal and variable indices
+    deriving (Show, Eq, Generic)
+
+instance ToJSON ArrayFlavor
+
+data ArrayIdentity
+    = GlobalArray Text
+    | MemberArray Text Text -- StructName, MemberName
+    | LocalArray Text Text  -- FunctionName, VarName
+    deriving (Show, Eq, Ord, Generic)
+
+instance ToJSON ArrayIdentity
+instance ToJSONKey ArrayIdentity
+
+data ArrayUsageResult = ArrayUsageResult
+    { aurFlavors  :: Map ArrayIdentity ArrayFlavor
+    , aurAccesses :: Map ArrayIdentity (Set (Maybe Integer))
+    } deriving (Show, Generic)
+
+instance ToJSON ArrayUsageResult
+
+data AnalysisState = AnalysisState
+    { asAccesses    :: Map ArrayIdentity (Set (Maybe Integer))
+    , asTypeSystem  :: TypeSystem
+    , asCurrentFunc :: Maybe Text
+    , asLocalVars   :: [Map Text (TypeInfo 'Global)]
+    }
+
+type Analyze = State AnalysisState
+
+enterScope :: Analyze ()
+enterScope = State.modify $ \s -> s { asLocalVars = Map.empty : asLocalVars s }
+
+exitScope :: Analyze ()
+exitScope = State.modify $ \s -> s { asLocalVars = drop 1 (asLocalVars s) }
+
+addVar :: Text -> TypeInfo 'Global -> Analyze ()
+addVar name ty = State.modify $ \s ->
+    case asLocalVars s of
+        (m:ms) -> s { asLocalVars = Map.insert name ty m : ms }
+        []     -> s { asLocalVars = [Map.singleton name ty] }
+
+lookupVar :: Text -> Analyze (Maybe (TypeInfo 'Global))
+lookupVar name = do
+    vars <- State.gets asLocalVars
+    return $ foldl (\acc m -> acc <|> Map.lookup name m) Nothing vars
+
+data Result = Result
+    { resAction   :: Analyze ()
+    , resType     :: Analyze (Maybe (TypeInfo 'Global))
+    , resId       :: Analyze (Maybe ArrayIdentity)
+    , resIdx      :: Maybe Integer
+    , resTypeInfo :: TypeInfo 'Global
+    , resNode     :: NodeF (Lexeme Text) Result
+    }
+
+runArrayUsageAnalysis :: TypeSystem -> Program.Program Text -> ArrayUsageResult
+runArrayUsageAnalysis ts program =
+    let initialState = AnalysisState Map.empty ts Nothing [Map.empty]
+        finalState = execState (mapM_ (mapM_ traverseNode . snd) (Program.toList program)) initialState
+        flavors = Map.map categorize (asAccesses finalState)
+    in ArrayUsageResult flavors (asAccesses finalState)
+  where
+    categorize indices =
+        let hasLiteral = any (\case Just _ -> True; _ -> False) indices
+            hasVariable = Set.member Nothing indices
+        in case (hasLiteral, hasVariable) of
+            (True, True)  -> FlavorMixed
+            (True, False) -> FlavorHeterogeneous
+            _             -> FlavorHomogeneous
+
+    traverseNode :: Node (Lexeme Text) -> Analyze ()
+    traverseNode = resAction . foldFix alg
+
+    alg :: NodeF (Lexeme Text) Result -> Result
+    alg node = Result
+        { resAction = doAction node
+        , resType   = doType node
+        , resId     = doId node
+        , resIdx    = doIdx node
+        , resTypeInfo = doTypeInfo node
+        , resNode   = node
+        }
+
+    doAction = \case
+        C.FunctionDefn _ proto body -> do
+            case resNode proto of
+                C.FunctionPrototype _ (L _ _ name) params -> do
+                    oldFunc <- State.gets asCurrentFunc
+                    oldVars <- State.gets asLocalVars
+                    let globalScope = case oldVars of
+                            (g:_) -> g
+                            []    -> error "traverseNode: Scope stack empty"
+                    State.modify $ \s -> s { asCurrentFunc = Just name, asLocalVars = [globalScope] }
+                    enterScope
+                    mapM_ registerParam params
+                    resAction body
+                    State.modify $ \s -> s { asCurrentFunc = oldFunc, asLocalVars = oldVars }
+                _ -> resAction body
+
+        C.CompoundStmt stmts -> do
+            enterScope
+            mapM_ resAction stmts
+            exitScope
+
+        C.VarDeclStmt r mInit -> do
+            case resNode r of
+                C.VarDecl ty (L _ _ name) _ -> do
+                    let t = resTypeInfo ty
+                    addVar name t
+                    mapM_ resAction mInit
+                _ -> mapM_ resAction mInit
+
+        C.ForStmt init' cond step body -> do
+            enterScope
+            resAction init'
+            resAction cond
+            resAction step
+            resAction body
+            exitScope
+
+        C.ArrayAccess base idx -> do
+            resAction base
+            resAction idx
+            mId <- resId base
+            let mIdx = resIdx idx
+            case mId of
+                Just ident -> State.modify $ \s ->
+                    s { asAccesses = Map.insertWith Set.union ident (Set.singleton mIdx) (asAccesses s) }
+                Nothing -> return ()
+
+        other -> mapM_ resAction other
+
+    doType = \case
+        C.VarExpr (L _ _ name) -> lookupVar name
+        C.ParenExpr e -> resType e
+        C.MemberAccess obj (L _ _ field) -> do
+            mTy <- resType obj
+            case mTy of
+                Just (TypeRef _ (L _ _ tid) _) -> lookupMemberType (TS.templateIdBaseName tid) field
+                _ -> return Nothing
+        C.PointerAccess obj (L _ _ field) -> do
+            mTy <- resType obj
+            case mTy of
+                Just (Pointer (TypeRef _ (L _ _ tid) _)) -> lookupMemberType (TS.templateIdBaseName tid) field
+                Just (TypeRef _ (L _ _ tid) _) -> lookupMemberType (TS.templateIdBaseName tid) field
+                _ -> return Nothing
+        _ -> return Nothing
+
+    doId = \case
+        C.VarExpr (L _ _ name) -> do
+            mFunc <- State.gets asCurrentFunc
+            return $ Just $ case mFunc of
+                Just f  -> LocalArray f name
+                Nothing -> GlobalArray name
+        C.MemberAccess obj (L _ _ field) -> do
+            mObjTy <- resType obj
+            case mObjTy of
+                Just (TypeRef _ (L _ _ tid) _) ->
+                    return $ Just $ MemberArray (TS.templateIdBaseName tid) field
+                _ -> return Nothing
+        C.PointerAccess obj (L _ _ field) -> do
+            mObjTy <- resType obj
+            case mObjTy of
+                Just (Pointer (TypeRef _ (L _ _ tid) _)) ->
+                    return $ Just $ MemberArray (TS.templateIdBaseName tid) field
+                Just (TypeRef _ (L _ _ tid) _) ->
+                    return $ Just $ MemberArray (TS.templateIdBaseName tid) field
+                _ -> return Nothing
+        C.ParenExpr e -> resId e
+        _ -> return Nothing
+
+    doIdx = \case
+        C.LiteralExpr C.Int (L _ _ val) -> parseInteger val
+        C.ParenExpr e -> resIdx e
+        _ -> Nothing
+
+    doTypeInfo = \case
+        C.TyStd l -> TS.builtin l
+        C.TyPointer t -> TS.Pointer (resTypeInfo t)
+        C.TyStruct (L p t name) -> TS.TypeRef TS.StructRef (L p t (TS.TIdName name)) []
+        C.TyUserDefined (L p t name) -> TS.TypeRef TS.UnresolvedRef (L p t (TS.TIdName name)) []
+        _ -> BuiltinType VoidTy
+
+    registerParam r = case resNode r of
+        C.VarDecl ty (L _ _ name) _ -> do
+            let t = resTypeInfo ty
+            addVar name t
+        C.NonNullParam p -> registerParam p
+        C.NullableParam p -> registerParam p
+        _ -> return ()
+
+    lookupMemberType structName field = do
+        ts' <- State.gets asTypeSystem
+        return $ TS.lookupMemberType field =<< TS.lookupType structName ts'
+
diff --git a/src/Language/Cimple/Analysis/AstUtils.hs b/src/Language/Cimple/Analysis/AstUtils.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/AstUtils.hs
@@ -0,0 +1,107 @@
+{-# LANGUAGE LambdaCase #-}
+module Language.Cimple.Analysis.AstUtils
+    ( getLexeme
+    , getAlexPosn
+    , isLvalue
+    , parseInteger
+    , readHex
+    , isNonnullType
+    , isNonnullParam
+    , getVar
+    , getParamName
+    ) where
+
+import           Control.Applicative ((<|>))
+import           Control.Monad       (join)
+import           Data.Char           (digitToInt)
+import           Data.Fix            (Fix (..), foldFix)
+import           Data.Foldable       (toList)
+import           Data.List           (find)
+import           Data.Maybe          (isJust)
+import           Data.Text           (Text)
+import qualified Data.Text           as T
+import           Language.Cimple     (AlexPosn (..), Lexeme (..))
+import qualified Language.Cimple     as C
+
+getAlexPosn :: C.Node (C.Lexeme l) -> Maybe AlexPosn
+getAlexPosn node = case getLexeme node of
+    Just (C.L pos _ _) -> Just pos
+    Nothing            -> Nothing
+
+getLexeme :: C.Node (C.Lexeme l) -> Maybe (C.Lexeme l)
+getLexeme = foldFix $ \case
+    C.VarExpr l               -> Just l
+    C.LiteralExpr _ l         -> Just l
+    C.VarDecl _ l _           -> Just l
+    C.MemberAccess _ l        -> Just l
+    C.PointerAccess _ l       -> Just l
+    C.FunctionPrototype _ l _ -> Just l
+    C.CallbackDecl _ l        -> Just l
+    C.ConstDecl _ l           -> Just l
+    C.ConstDefn _ _ l _       -> Just l
+    C.Typedef _ l             -> Just l
+    C.Struct l _              -> Just l
+    C.Union l _               -> Just l
+    C.EnumDecl l _ _          -> Just l
+    C.Enumerator l _          -> Just l
+    C.UnaryExpr _ e           -> e
+    C.BinaryExpr e _ _        -> e
+    C.CastExpr _ e            -> e
+    C.ParenExpr e             -> e
+    C.ArrayAccess e _         -> e
+    C.FunctionCall e _        -> e
+    C.AssignExpr e _ _        -> e
+    C.TernaryExpr c _ _       -> c
+    C.SizeofExpr e            -> e
+    C.CompoundLiteral _ e     -> e
+    C.InitialiserList es      -> join (find isJust es)
+    C.VarDeclStmt decl mInit  -> decl <|> join mInit
+    C.ExprStmt e              -> e
+    C.FunctionDefn _ proto _  -> proto
+    C.Label _ stmt            -> stmt
+    C.MacroBodyStmt stmt      -> stmt
+    _                         -> Nothing
+
+isLvalue :: C.Node (C.Lexeme l) -> Bool
+isLvalue = foldFix $ \case
+    C.VarExpr _              -> True
+    C.MemberAccess _ _       -> True
+    C.PointerAccess _ _      -> True
+    C.ArrayAccess _ _        -> True
+    C.UnaryExpr C.UopDeref _ -> True
+    C.ParenExpr e            -> e
+    _                        -> False
+
+parseInteger :: Text -> Maybe Integer
+parseInteger val =
+    case T.unpack val of
+        ('0':'x':xs) -> Just (fromIntegral $ readHex xs)
+        xs -> case reads xs of
+            [(n, "")] -> Just n
+            _         -> Nothing
+
+readHex :: String -> Integer
+readHex xs = foldl (\acc x -> acc * 16 + fromIntegral (digitToInt x)) (0 :: Integer) xs
+
+isNonnullType :: C.Node (C.Lexeme Text) -> Bool
+isNonnullType = foldFix $ \case
+    C.TyNonnull _ -> True
+    f              -> any id f
+
+isNonnullParam :: C.Node (C.Lexeme Text) -> Bool
+isNonnullParam (Fix (C.VarDecl ty _ _)) = isNonnullType ty
+isNonnullParam (Fix (C.NonNullParam _)) = True
+isNonnullParam (Fix (C.Commented _ p))  = isNonnullParam p
+isNonnullParam _                        = False
+
+getVar :: C.Node (C.Lexeme Text) -> Maybe Text
+getVar (Fix (C.VarExpr (C.L _ _ name))) = Just name
+getVar (Fix (C.ParenExpr e))            = getVar e
+getVar _                                = Nothing
+
+getParamName :: C.Node (C.Lexeme Text) -> Maybe Text
+getParamName (Fix (C.VarDecl _ (C.L _ _ name) _)) = Just name
+getParamName (Fix (C.NonNullParam n))             = getParamName n
+getParamName (Fix (C.Commented _ n))              = getParamName n
+getParamName _                                    = Nothing
+
diff --git a/src/Language/Cimple/Analysis/BuiltinMap.hs b/src/Language/Cimple/Analysis/BuiltinMap.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/BuiltinMap.hs
@@ -0,0 +1,16 @@
+{-# LANGUAGE DataKinds #-}
+module Language.Cimple.Analysis.BuiltinMap
+    ( builtinMap
+    ) where
+
+import           Data.Map.Strict                           (Map)
+import qualified Data.Map.Strict                           as Map
+import           Data.Text                                 (Text)
+import           Language.Cimple.Analysis.Builtins         (builtins)
+import           Language.Cimple.Analysis.TypeSystem       (descrToTypeInfo,
+                                                            toLocal)
+import           Language.Cimple.Analysis.TypeSystem.Types (Phase (..),
+                                                            TypeInfo)
+
+builtinMap :: Map Text (TypeInfo 'Local)
+builtinMap = Map.map (toLocal 0 Nothing . descrToTypeInfo) builtins
diff --git a/src/Language/Cimple/Analysis/Builtins.hs b/src/Language/Cimple/Analysis/Builtins.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Builtins.hs
@@ -0,0 +1,141 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Builtins
+    ( builtins
+    ) where
+
+import           Data.Map.Strict                           (Map)
+import qualified Data.Map.Strict                           as Map
+import           Data.Text                                 (Text)
+import qualified Language.Cimple                           as C
+import           Language.Cimple.Analysis.TypeSystem.Types
+
+p :: C.AlexPosn
+p = C.AlexPn 0 0 0
+
+l :: Text -> C.Lexeme Text
+l = C.L p C.IdVar
+
+builtins :: Map Text (TypeDescr 'Global)
+builtins = Map.fromList
+    [ ("sockaddr", StructDescr (l "sockaddr") []
+        [ (l "sa_family", BuiltinType U16Ty)
+        , (l "sa_data", Array (Just (BuiltinType CharTy)) [IntLit (fmap TIdName $ l "14")])
+        ])
+    , ("sockaddr_in", StructDescr (l "sockaddr_in") []
+        [ (l "sin_family", BuiltinType U16Ty)
+        , (l "sin_port", BuiltinType U16Ty)
+        , (l "sin_addr", TypeRef StructRef (fmap TIdName $ l "in_addr") [])
+        ])
+    , ("sockaddr_in6", StructDescr (l "sockaddr_in6") []
+        [ (l "sin6_family", BuiltinType U16Ty)
+        , (l "sin6_port", BuiltinType U16Ty)
+        , (l "sin6_flowinfo", BuiltinType U32Ty)
+        , (l "sin6_addr", TypeRef StructRef (fmap TIdName $ l "in6_addr") [])
+        , (l "sin6_scope_id", BuiltinType U32Ty)
+        ])
+    , ("sockaddr_storage", StructDescr (l "sockaddr_storage") []
+        [ (l "ss_family", BuiltinType U16Ty)
+        ])
+    , ("in_addr", StructDescr (l "in_addr") []
+        [ (l "s_addr", BuiltinType U32Ty)
+        ])
+    , ("in6_addr", StructDescr (l "in6_addr") []
+        [ (l "s6_addr", Array (Just (BuiltinType U08Ty)) [IntLit (fmap TIdName $ l "16")])
+        ])
+    , ("addrinfo", StructDescr (l "addrinfo") []
+        [ (l "ai_flags", BuiltinType S32Ty)
+        , (l "ai_family", BuiltinType S32Ty)
+        , (l "ai_socktype", BuiltinType S32Ty)
+        , (l "ai_protocol", BuiltinType S32Ty)
+        , (l "ai_addrlen", BuiltinType U32Ty)
+        , (l "ai_addr", Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") []))
+        , (l "ai_canonname", Pointer (BuiltinType CharTy))
+        , (l "ai_next", Pointer (TypeRef StructRef (fmap TIdName $ l "addrinfo") []))
+        ])
+    , ("ipv6_mreq", StructDescr (l "ipv6_mreq") []
+        [ (l "ipv6mr_multiaddr", TypeRef StructRef (fmap TIdName $ l "in6_addr") [])
+        , (l "ipv6mr_interface", BuiltinType U32Ty)
+        ])
+    , ("WSADATA", StructDescr (l "WSADATA") []
+        [ (l "wVersion", BuiltinType U16Ty)
+        , (l "wHighVersion", BuiltinType U16Ty)
+        , (l "szDescription", Array (Just (BuiltinType CharTy)) [IntLit (fmap TIdName $ l "257")])
+        , (l "szSystemStatus", Array (Just (BuiltinType CharTy)) [IntLit (fmap TIdName $ l "129")])
+        , (l "iMaxSockets", BuiltinType U16Ty)
+        , (l "iMaxUdpDg", BuiltinType U16Ty)
+        , (l "lpVendorInfo", Pointer (BuiltinType CharTy))
+        ])
+    , ("LPSOCKADDR", AliasDescr (l "LPSOCKADDR") [] (Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") [])))
+    , ("LPWSAPROTOCOL_INFOA", StructDescr (l "LPWSAPROTOCOL_INFOA") [] [])
+    , ("memcpy", FuncDescr (l "memcpy") [TIdName "T"] (Pointer (Template (TIdName "T") Nothing)) [Pointer (Template (TIdName "T") Nothing), Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType SizeTy])
+    , ("memset", FuncDescr (l "memset") [TIdName "T"] (Pointer (Template (TIdName "T") Nothing)) [Pointer (Template (TIdName "T") Nothing), BuiltinType S32Ty, BuiltinType SizeTy])
+    , ("memmove", FuncDescr (l "memmove") [TIdName "T"] (Pointer (Template (TIdName "T") Nothing)) [Pointer (Template (TIdName "T") Nothing), Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType SizeTy])
+    , ("memcmp", FuncDescr (l "memcmp") [TIdName "T"] (BuiltinType S32Ty) [Pointer (Const (Template (TIdName "T") Nothing)), Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType SizeTy])
+    , ("malloc", FuncDescr (l "malloc") [TIdName "T"] (Pointer (Template (TIdName "T") Nothing)) [BuiltinType SizeTy])
+    , ("free", FuncDescr (l "free") [TIdName "T"] (BuiltinType VoidTy) [Pointer (Template (TIdName "T") Nothing)])
+    , ("realloc", FuncDescr (l "realloc") [TIdName "T"] (Pointer (Template (TIdName "T") Nothing)) [Pointer (Template (TIdName "T") Nothing), BuiltinType SizeTy])
+    , ("assert", FuncDescr (l "assert") [] (BuiltinType VoidTy) [BuiltinType BoolTy])
+    , ("printf", FuncDescr (l "printf") [] (BuiltinType S32Ty) [Pointer (Const (BuiltinType CharTy)), VarArg])
+    , ("strrchr", FuncDescr (l "strrchr") [] (Pointer (Const (BuiltinType CharTy))) [Pointer (Const (BuiltinType CharTy)), BuiltinType S32Ty])
+    , ("strchr", FuncDescr (l "strchr") [] (Pointer (Const (BuiltinType CharTy))) [Pointer (Const (BuiltinType CharTy)), BuiltinType S32Ty])
+    , ("va_start", FuncDescr (l "va_start") [TIdName "T"] (BuiltinType VoidTy) [ExternalType (fmap TIdName $ l "va_list"), Template (TIdName "T") Nothing])
+    , ("vsnprintf", FuncDescr (l "vsnprintf") [] (BuiltinType S32Ty) [Pointer (BuiltinType CharTy), BuiltinType SizeTy, Pointer (Const (BuiltinType CharTy)), ExternalType (fmap TIdName $ l "va_list")])
+    , ("va_end", FuncDescr (l "va_end") [] (BuiltinType VoidTy) [ExternalType (fmap TIdName $ l "va_list")])
+    , ("abort", FuncDescr (l "abort") [] (BuiltinType VoidTy) [])
+    , ("uint32_c", FuncDescr (l "UINT32_C") [] (BuiltinType U32Ty) [BuiltinType S32Ty])
+    , ("uint64_c", FuncDescr (l "UINT64_C") [] (BuiltinType U64Ty) [BuiltinType S32Ty])
+    , ("int32_c", FuncDescr (l "INT32_C") [] (BuiltinType S32Ty) [BuiltinType S32Ty])
+    , ("int64_c", FuncDescr (l "INT64_C") [] (BuiltinType S64Ty) [BuiltinType S32Ty])
+    , ("errno", AliasDescr (l "errno") [] (BuiltinType S32Ty))
+    , ("inet_ntop", FuncDescr (l "inet_ntop") [TIdName "T"] (Pointer (BuiltinType CharTy)) [BuiltinType S32Ty, Pointer (Const (Template (TIdName "T") Nothing)), Pointer (BuiltinType CharTy), BuiltinType U32Ty])
+    , ("inet_pton", FuncDescr (l "inet_pton") [TIdName "T"] (BuiltinType S32Ty) [BuiltinType S32Ty, Pointer (Const (BuiltinType CharTy)), Pointer (Template (TIdName "T") Nothing)])
+    , ("htonl", FuncDescr (l "htonl") [] (BuiltinType U32Ty) [BuiltinType U32Ty])
+    , ("htons", FuncDescr (l "htons") [] (BuiltinType U16Ty) [BuiltinType U16Ty])
+    , ("ntohl", FuncDescr (l "ntohl") [] (BuiltinType U32Ty) [BuiltinType U32Ty])
+    , ("ntohs", FuncDescr (l "ntohs") [] (BuiltinType U16Ty) [BuiltinType U16Ty])
+    , ("socket", FuncDescr (l "socket") [] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType S32Ty, BuiltinType S32Ty])
+    , ("bind", FuncDescr (l "bind") [] (BuiltinType S32Ty) [BuiltinType S32Ty, Pointer (Const (TypeRef StructRef (fmap TIdName $ l "sockaddr") [])), BuiltinType U32Ty])
+    , ("listen", FuncDescr (l "listen") [] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType S32Ty])
+    , ("accept", FuncDescr (l "accept") [] (BuiltinType S32Ty) [BuiltinType S32Ty, Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") []), Pointer (BuiltinType U32Ty)])
+    , ("connect", FuncDescr (l "connect") [] (BuiltinType S32Ty) [BuiltinType S32Ty, Pointer (Const (TypeRef StructRef (fmap TIdName $ l "sockaddr") [])), BuiltinType U32Ty])
+    , ("send", FuncDescr (l "send") [TIdName "T"] (BuiltinType S64Ty) [BuiltinType S32Ty, Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType SizeTy, BuiltinType S32Ty])
+    , ("recv", FuncDescr (l "recv") [TIdName "T"] (BuiltinType S64Ty) [BuiltinType S32Ty, Template (TIdName "T") Nothing, BuiltinType SizeTy, BuiltinType S32Ty])
+    , ("sendto", FuncDescr (l "sendto") [TIdName "T"] (BuiltinType S64Ty) [BuiltinType S32Ty, Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType SizeTy, BuiltinType S32Ty, Pointer (Const (TypeRef StructRef (fmap TIdName $ l "sockaddr") [])), BuiltinType U32Ty])
+    , ("recvfrom", FuncDescr (l "recvfrom") [TIdName "T"] (BuiltinType S64Ty) [BuiltinType S32Ty, Template (TIdName "T") Nothing, BuiltinType SizeTy, BuiltinType S32Ty, Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") []), Pointer (BuiltinType U32Ty)])
+    , ("close", FuncDescr (l "close") [] (BuiltinType S32Ty) [BuiltinType S32Ty])
+    , ("closesocket", FuncDescr (l "closesocket") [] (BuiltinType S32Ty) [BuiltinType U32Ty])
+    , ("getsockopt", FuncDescr (l "getsockopt") [TIdName "T"] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType S32Ty, BuiltinType S32Ty, Pointer (Template (TIdName "T") Nothing), Pointer (BuiltinType U32Ty)])
+    , ("setsockopt", FuncDescr (l "setsockopt") [TIdName "T"] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType S32Ty, BuiltinType S32Ty, Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType U32Ty])
+    , ("ioctl", FuncDescr (l "ioctl") [] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType U32Ty, VarArg])
+    , ("ioctlsocket", FuncDescr (l "ioctlsocket") [] (BuiltinType S32Ty) [BuiltinType U32Ty, BuiltinType S32Ty, Pointer (BuiltinType U32Ty)])
+    , ("fcntl", FuncDescr (l "fcntl") [] (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType S32Ty, VarArg])
+    , ("getaddrinfo", FuncDescr (l "getaddrinfo") [] (BuiltinType S32Ty) [Pointer (Const (BuiltinType CharTy)), Pointer (Const (BuiltinType CharTy)), Pointer (Const (TypeRef StructRef (fmap TIdName $ l "addrinfo") [])), Pointer (Pointer (TypeRef StructRef (fmap TIdName $ l "addrinfo") []))])
+    , ("freeaddrinfo", FuncDescr (l "freeaddrinfo") [] (BuiltinType VoidTy) [Pointer (TypeRef StructRef (fmap TIdName $ l "addrinfo") [])])
+    , ("WSAStartup", FuncDescr (l "WSAStartup") [] (BuiltinType S32Ty) [BuiltinType U16Ty, Pointer (TypeRef StructRef (fmap TIdName $ l "WSADATA") [])])
+    , ("WSACleanup", FuncDescr (l "WSACleanup") [] (BuiltinType S32Ty) [])
+    , ("WSAGetLastError", FuncDescr (l "WSAGetLastError") [] (BuiltinType S32Ty) [])
+    , ("MAKEWORD", FuncDescr (l "MAKEWORD") [] (BuiltinType U16Ty) [BuiltinType U08Ty, BuiltinType U08Ty])
+    , ("FormatMessageA", FuncDescr (l "FormatMessageA") [TIdName "T"] (BuiltinType U32Ty) [BuiltinType U32Ty, Pointer (Const (Template (TIdName "T") Nothing)), BuiltinType U32Ty, BuiltinType U32Ty, Pointer (BuiltinType CharTy), BuiltinType U32Ty, Template (TIdName "T") Nothing])
+    , ("strerror_r", FuncDescr (l "strerror_r") [] (Pointer (Const (BuiltinType CharTy))) [BuiltinType S32Ty, Pointer (BuiltinType CharTy), BuiltinType SizeTy])
+    , ("snprintf", FuncDescr (l "snprintf") [] (BuiltinType S32Ty) [Pointer (BuiltinType CharTy), BuiltinType SizeTy, Pointer (Const (BuiltinType CharTy)), VarArg])
+    , ("strlen", FuncDescr (l "strlen") [] (BuiltinType SizeTy) [Pointer (Const (BuiltinType CharTy))])
+    , ("WSAAddressToString", FuncDescr (l "WSAAddressToString") [] (BuiltinType S32Ty) [Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") []), BuiltinType U32Ty, Pointer (TypeRef StructRef (fmap TIdName $ l "LPWSAPROTOCOL_INFOA") []), Pointer (BuiltinType CharTy), Pointer (BuiltinType U32Ty)])
+    , ("WSAStringToAddress", FuncDescr (l "WSAStringToAddress") [] (BuiltinType S32Ty) [Pointer (BuiltinType CharTy), BuiltinType S32Ty, Pointer (TypeRef StructRef (fmap TIdName $ l "LPWSAPROTOCOL_INFOA") []), Pointer (TypeRef StructRef (fmap TIdName $ l "sockaddr") []), Pointer (BuiltinType S32Ty)])
+    , ("pthread_mutex_init", FuncDescr (l "pthread_mutex_init") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutex_t")), Pointer (Const (ExternalType (fmap TIdName $ l "pthread_mutexattr_t")))])
+    , ("pthread_mutex_destroy", FuncDescr (l "pthread_mutex_destroy") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutex_t"))])
+    , ("pthread_mutex_lock", FuncDescr (l "pthread_mutex_lock") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutex_t"))])
+    , ("pthread_mutex_unlock", FuncDescr (l "pthread_mutex_unlock") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutex_t"))])
+    , ("pthread_mutexattr_init", FuncDescr (l "pthread_mutexattr_init") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutexattr_t"))])
+    , ("pthread_mutexattr_settype", FuncDescr (l "pthread_mutexattr_settype") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutexattr_t")), BuiltinType S32Ty])
+    , ("pthread_mutexattr_destroy", FuncDescr (l "pthread_mutexattr_destroy") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_mutexattr_t"))])
+    , ("pthread_rwlock_init", FuncDescr (l "pthread_rwlock_init") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_rwlock_t")), Pointer (Const (ExternalType (fmap TIdName $ l "pthread_rwlockattr_t")))])
+    , ("pthread_rwlock_destroy", FuncDescr (l "pthread_rwlock_destroy") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_rwlock_t"))])
+    , ("pthread_rwlock_rdlock", FuncDescr (l "pthread_rwlock_rdlock") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_rwlock_t"))])
+    , ("pthread_rwlock_wrlock", FuncDescr (l "pthread_rwlock_wrlock") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_rwlock_t"))])
+    , ("pthread_rwlock_unlock", FuncDescr (l "pthread_rwlock_unlock") [] (BuiltinType S32Ty) [Pointer (ExternalType (fmap TIdName $ l "pthread_rwlock_t"))])
+    , ("PTHREAD_MUTEX_RECURSIVE", AliasDescr (l "PTHREAD_MUTEX_RECURSIVE") [] (BuiltinType S32Ty))
+    , ("__tokstyle_assume_true", FuncDescr (l "__tokstyle_assume_true") [] (BuiltinType VoidTy) [BuiltinType BoolTy])
+    , ("__tokstyle_assume_false", FuncDescr (l "__tokstyle_assume_false") [] (BuiltinType VoidTy) [BuiltinType BoolTy])
+    , ("__tokstyle_switch_cond", FuncDescr (l "__tokstyle_switch_cond") [] (BuiltinType S32Ty) [BuiltinType S32Ty])
+    ]
diff --git a/src/Language/Cimple/Analysis/CFG.hs b/src/Language/Cimple/Analysis/CFG.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/CFG.hs
@@ -0,0 +1,547 @@
+{-# LANGUAGE FlexibleContexts      #-}
+{-# LANGUAGE FlexibleInstances     #-}
+{-# LANGUAGE KindSignatures        #-}
+{-# LANGUAGE LambdaCase            #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE MultiWayIf            #-}
+{-# LANGUAGE OverloadedStrings     #-}
+{-# LANGUAGE ScopedTypeVariables   #-}
+{-# LANGUAGE TupleSections         #-}
+
+-- | This module provides tools for building a control flow graph (CFG)
+-- from C code represented by the 'Language.Cimple.Ast'.
+--
+-- The core components are:
+--
+-- * 'CFG': A control flow graph representation, where nodes contain basic
+--   blocks of statements.
+-- * 'buildCFG': A function to construct a 'CFG' from a 'C.FunctionDefn'.
+--
+-- This module is only concerned with the *structure* of the control flow,
+-- not with any particular data flow analysis.
+module Language.Cimple.Analysis.CFG
+    ( CFGNode (..)
+    , CFG
+    , buildCFG
+    ) where
+
+import           Control.Monad                     (foldM, join)
+import           Control.Monad.State.Strict        (State, get, modify, put,
+                                                    runState)
+import           Data.Fix                          (Fix (Fix, unFix), foldFix)
+import           Data.Foldable                     (foldl')
+import           Data.List                         (find)
+import           Data.Map.Strict                   (Map)
+import qualified Data.Map.Strict                   as Map
+import           Data.Maybe                        (fromMaybe, isJust)
+import           Data.Set                          (Set)
+import qualified Data.Set                          as Set
+import           Data.String                       (IsString (..))
+import qualified Data.Text                         as T
+import           Debug.Trace                       (trace)
+import           Language.Cimple                   (NodeF (..))
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Analysis.AstUtils (getLexeme)
+import           Language.Cimple.Analysis.Types    (lookupOrError)
+import           Language.Cimple.Pretty            (showNodePlain)
+import           Prettyprinter                     (Pretty (..))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then trace msg x else x
+
+-- | A node in the control flow graph. Each node represents a basic block
+-- of statements. It only contains structural information.
+data CFGNode l = CFGNode
+    { cfgNodeId :: Int -- ^ A unique identifier for the node.
+    , cfgPreds  :: [Int] -- ^ A list of predecessor node IDs.
+    , cfgSuccs  :: [Int] -- ^ A list of successor node IDs.
+    , cfgStmts  :: [C.Node (C.Lexeme l)] -- ^ The statements in this basic block.
+    }
+    deriving (Show, Eq)
+
+-- | The Control Flow Graph is a map from node IDs to 'CFGNode's.
+type CFG l = Map Int (CFGNode l)
+
+data BuilderState l = BuilderState
+    { bsStmts      :: [C.Node (C.Lexeme l)]
+    , bsCfg        :: CFG l
+    , bsLabels     :: Map l Int
+    , bsNextNodeId :: Int
+    , bsExitNodeId :: Int
+    , bsBreaks     :: [Int]
+    , bsContinues  :: [Int]
+    }
+
+-- | Build a control flow graph for a function definition. This is the main
+-- entry point for constructing a CFG from a Cimple AST.
+buildCFG :: (Pretty l, Ord l, Show l, IsString l) => C.Node (C.Lexeme l) -> CFG l
+buildCFG (Fix (C.FunctionDefn _ (Fix (C.FunctionPrototype _ (C.L _ _ funcName) _)) body)) =
+    buildCFG' funcName body
+buildCFG _ = Map.empty
+
+buildCFG' :: (Pretty l, Ord l, Show l, IsString l) => l -> C.Node (C.Lexeme l) -> CFG l
+buildCFG' funcName (Fix (C.CompoundStmt stmts)) =
+    let
+        (labelMap, maxNodeId) = buildLabelMap stmts 1
+        exitNodeId = maxNodeId + 2
+        exitNode = CFGNode exitNodeId [] [] []
+        labelNodes = Map.fromList $ map (\(_, nodeId) -> (nodeId, CFGNode nodeId [] [] [])) $ Map.toList labelMap
+        initialCfg = Map.insert exitNodeId exitNode $ Map.union labelNodes $ Map.singleton 0 (CFGNode 0 [] [] [])
+        initialState = BuilderState
+            {
+                bsStmts = []
+            ,   bsCfg = initialCfg
+            ,   bsLabels = labelMap
+            ,   bsNextNodeId = exitNodeId + 1
+            ,   bsExitNodeId = exitNodeId
+            ,   bsBreaks = []
+            ,   bsContinues = []
+            }
+        (lastNodeId, finalState) = runState (buildStmts stmts 0) initialState
+        cfg = bsCfg finalState
+
+        -- Connect the last node to the exit node if it's a fallthrough.
+        lastNode = lookupOrError "buildCFG" cfg lastNodeId
+        intermediateCfg = if null (cfgSuccs lastNode) && (cfgNodeId lastNode == 0 || not (null (cfgPreds lastNode))) && cfgNodeId lastNode /= bsExitNodeId finalState then
+            Map.adjust (\n -> n { cfgSuccs = [bsExitNodeId finalState] }) lastNodeId $
+            Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [lastNodeId] }) (bsExitNodeId finalState) cfg
+        else
+            cfg
+
+        -- Prune unreachable nodes
+        reachable = go (Set.singleton 0) [0]
+          where
+            go visited [] = visited
+            go visited (curr:rest) =
+                let
+                    node = lookupOrError "buildCFG" intermediateCfg curr
+                    newSuccs = filter (`Set.notMember` visited) (cfgSuccs node)
+                in
+                    go (Set.union visited (Set.fromList newSuccs)) (rest ++ newSuccs)
+
+        finalCfg = Map.filterWithKey (\k _ -> k `Set.member` reachable) intermediateCfg
+    in
+        dtrace ("\n--- CFG for " <> show funcName <> " ---\n" <> show (fmap (\n -> (cfgNodeId n, cfgPreds n, cfgSuccs n, map showNodePlain (cfgStmts n))) finalCfg)) finalCfg
+buildCFG' _ _ = Map.empty
+
+
+
+getCompoundStmts :: C.Node (C.Lexeme l) -> [C.Node (C.Lexeme l)]
+getCompoundStmts (Fix (C.CompoundStmt stmts)) = stmts
+getCompoundStmts stmt                         = [stmt]
+
+buildLabelMap :: Ord t => [C.Node (C.Lexeme t)] -> Int -> (Map t Int, Int)
+buildLabelMap stmts startId =
+    foldl' go (Map.empty, startId) stmts
+  where
+    go (acc, nodeId) node =
+        let (acc', nodeId') = (snd (foldFix alg node)) nodeId
+        in (Map.union acc acc', nodeId')
+
+    alg f = (Fix (fmap fst f), \start -> case f of
+        C.Label (C.L _ _ label) (_, getInner) ->
+            let (m, next) = getInner (start + 1)
+            in (Map.insert label start m, next)
+        C.IfStmt _ (_, getThen) mElse ->
+            let (accThen, nextThen) = getThen (start + 1)
+                (accElse, nextElse) = case mElse of
+                    Just (_, getElse) -> getElse (nextThen + 1)
+                    Nothing           -> (Map.empty, nextThen)
+            in (Map.union accThen accElse, nextElse + 1)
+        C.WhileStmt _ (_, getBody) ->
+            let (acc', nextId') = getBody (start + 1)
+            in (acc', nextId' + 1)
+        C.ForStmt _ _ _ (_, getBody) ->
+            let (acc', nextId') = getBody (start + 1)
+            in (acc', nextId' + 1)
+        C.DoWhileStmt (_, getBody) _ ->
+            let (acc', nextId') = getBody (start + 1)
+            in (acc', nextId' + 1)
+        C.SwitchStmt _ cases ->
+            let (acc', nextId') = foldl' (\(a, n) (_, getCase) ->
+                    let (aC, nC) = getCase n in (Map.union a aC, nC))
+                    (Map.empty, start + 1) cases
+            in (acc', nextId' + length cases + 1)
+        C.CompoundStmt stmts' ->
+            foldl' (\(a, n) (_, getStmt) ->
+                let (aS, nS) = getStmt n in (Map.union a aS, nS))
+                (Map.empty, start) stmts'
+        _ -> (Map.empty, start))
+
+buildStmts :: (Pretty l, Ord l, Show l, IsString l) => [C.Node (C.Lexeme l)] -> Int -> State (BuilderState l) Int
+buildStmts stmts currNodeId = foldM buildStmt currNodeId stmts
+
+newDisconnectedNode :: State (BuilderState l) Int
+newDisconnectedNode = do
+    st <- get
+    let newNodeId = bsNextNodeId st
+    let newNode = CFGNode newNodeId [] [] []
+    put $ st { bsCfg = Map.insert newNodeId newNode (bsCfg st), bsNextNodeId = newNodeId + 1 }
+    return newNodeId
+
+buildStmt :: forall l. (Pretty l, Ord l, Show l, IsString l) => Int -> C.Node (C.Lexeme l) -> State (BuilderState l) Int
+buildStmt currNodeId stmt@(Fix s') = dtrace ("buildStmt processing: " <> T.unpack (showNodePlain stmt)) $ case s' of
+    C.CompoundStmt stmts' -> buildStmts stmts' currNodeId
+    C.Label (C.L _ _ label) innerStmt -> do
+        st <- get
+        let labelNodeId = fromMaybe (error $ "Label not found: " ++ show label) (Map.lookup label (bsLabels st))
+        let currentNode = lookupOrError "buildStmt Label" (bsCfg st) currNodeId
+        if (not (null (cfgPreds currentNode)) || currNodeId == 0) && null (cfgSuccs currentNode) then do
+            let cfg' = Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ [labelNodeId] }) currNodeId (bsCfg st)
+            let cfg'' = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) labelNodeId cfg'
+            put $ st { bsCfg = cfg'' }
+        else
+            return ()
+        buildStmt labelNodeId innerStmt
+    C.Goto (C.L _ _ label) -> do
+        st <- get
+        let labelNodeId = fromMaybe (error $ "Label not found: " ++ show label) (Map.lookup label (bsLabels st))
+        let updatedCfg = Map.adjust (\n -> n { cfgSuccs = [labelNodeId] }) currNodeId (bsCfg st)
+        let cfgWithPred = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) labelNodeId updatedCfg
+        put $ st { bsCfg = cfgWithPred }
+        newDisconnectedNode
+    C.IfStmt cond thenB mElseB -> do
+        modify $ \st -> st { bsCfg = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [cond] }) currNodeId (bsCfg st) }
+        st <- get
+        let thenNodeId = bsNextNodeId st
+        let (C.L pos cls _) = fromMaybe (C.L (C.AlexPn 0 0 0) C.IdVar "cond") (getLexeme cond)
+        let assumeTrue = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_true"))) [cond])))
+        let assumeFalse = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_false"))) [cond])))
+        case mElseB of
+            Just elseB -> do
+                let elseNodeId = thenNodeId + 1
+                let mergeNodeId = elseNodeId + 1
+                let thenNode = CFGNode thenNodeId [currNodeId] [] [assumeTrue]
+                let elseNode = CFGNode elseNodeId [currNodeId] [] [assumeFalse]
+                let mergeNode = CFGNode mergeNodeId [] [] []
+                let updatedCfg = Map.insert thenNodeId thenNode $ Map.insert elseNodeId elseNode $ Map.insert mergeNodeId mergeNode (bsCfg st)
+                let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [thenNodeId, elseNodeId] }) currNodeId updatedCfg
+                put $ st { bsCfg = cfgWithSuccs, bsNextNodeId = mergeNodeId + 1 }
+                lastThenNodeId <- buildStmts (getCompoundStmts thenB) thenNodeId
+                lastElseNodeId <- buildStmts (getCompoundStmts elseB) elseNodeId
+                st' <- get
+                let lastThenNode = lookupOrError "buildStmt IfStmt" (bsCfg st') lastThenNodeId
+                let lastElseNode = lookupOrError "buildStmt IfStmt" (bsCfg st') lastElseNodeId
+                let cfgWithThen = if null (cfgSuccs lastThenNode)
+                                  then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastThenNodeId (bsCfg st')
+                                  else bsCfg st'
+                let cfgWithElse = if null (cfgSuccs lastElseNode)
+                                  then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastElseNodeId cfgWithThen
+                                  else cfgWithThen
+                let predNodes = (if null (cfgSuccs lastThenNode) then [lastThenNodeId] else []) ++
+                                (if null (cfgSuccs lastElseNode) then [lastElseNodeId] else [])
+                let finalCfg = Map.adjust (\n -> n { cfgPreds = predNodes }) mergeNodeId cfgWithElse
+                put $ st' { bsCfg = finalCfg }
+                return mergeNodeId
+            Nothing -> do
+                let mergeNodeId = thenNodeId + 1
+                let thenNode = CFGNode thenNodeId [currNodeId] [] [assumeTrue]
+                let mergeNode = CFGNode mergeNodeId [currNodeId] [] [assumeFalse]
+                let updatedCfg = Map.insert thenNodeId thenNode $ Map.insert mergeNodeId mergeNode (bsCfg st)
+                let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [thenNodeId, mergeNodeId] }) currNodeId updatedCfg
+                put $ st { bsCfg = cfgWithSuccs, bsNextNodeId = mergeNodeId + 1 }
+                lastThenNodeId <- buildStmts (getCompoundStmts thenB) thenNodeId
+                st' <- get
+                let lastThenNode = lookupOrError "buildStmt IfStmt" (bsCfg st') lastThenNodeId
+                let finalCfg = if null (cfgSuccs lastThenNode)
+                               then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastThenNodeId $ Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [lastThenNodeId] }) mergeNodeId (bsCfg st')
+                               else bsCfg st'
+                put $ st' { bsCfg = finalCfg }
+                return mergeNodeId
+    C.PreprocIf cond thenStmts elseAstNode -> do
+        modify $ \st -> st { bsCfg = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [cond] }) currNodeId (bsCfg st) }
+        st <- get
+        let thenNodeId = bsNextNodeId st
+        let (C.L pos cls _) = fromMaybe (C.L (C.AlexPn 0 0 0) C.IdVar "cond") (getLexeme cond)
+        let assumeTrue = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_true"))) [cond])))
+        let assumeFalse = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_false"))) [cond])))
+        let elseNodeId = thenNodeId + 1
+        let mergeNodeId = elseNodeId + 1
+        let thenNode = CFGNode thenNodeId [currNodeId] [] [assumeTrue]
+        let elseNode = CFGNode elseNodeId [currNodeId] [] [assumeFalse]
+        let mergeNode = CFGNode mergeNodeId [] [] []
+        let updatedCfg = Map.insert thenNodeId thenNode $ Map.insert elseNodeId elseNode $ Map.insert mergeNodeId mergeNode (bsCfg st)
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [thenNodeId, elseNodeId] }) currNodeId updatedCfg
+        put $ st { bsCfg = cfgWithSuccs, bsNextNodeId = mergeNodeId + 1 }
+        lastThenNodeId <- buildStmts thenStmts thenNodeId
+        lastElseNodeId <- buildStmts (getCompoundStmts elseAstNode) elseNodeId
+        st' <- get
+        let lastThenNode = lookupOrError "buildStmt PreprocIf" (bsCfg st') lastThenNodeId
+        let lastElseNode = lookupOrError "buildStmt PreprocIf" (bsCfg st') lastElseNodeId
+        let cfgWithThen = if null (cfgSuccs lastThenNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastThenNodeId (bsCfg st')
+                          else bsCfg st'
+        let cfgWithElse = if null (cfgSuccs lastElseNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastElseNodeId cfgWithThen
+                          else cfgWithThen
+        let predNodes = (if null (cfgSuccs lastThenNode) then [lastThenNodeId] else []) ++
+                        (if null (cfgSuccs lastElseNode) then [lastElseNodeId] else [])
+        let finalCfg = Map.adjust (\n -> n { cfgPreds = predNodes }) mergeNodeId cfgWithElse
+        put $ st' { bsCfg = finalCfg }
+        return mergeNodeId
+    C.PreprocIfdef _ thenStmts elseAstNode -> do
+        st <- get
+        let thenNodeId = bsNextNodeId st
+        let elseNodeId = thenNodeId + 1
+        let mergeNodeId = elseNodeId + 1
+        let thenNode = CFGNode thenNodeId [currNodeId] [] []
+        let elseNode = CFGNode elseNodeId [currNodeId] [] []
+        let mergeNode = CFGNode mergeNodeId [] [] []
+        let updatedCfg = Map.insert thenNodeId thenNode $ Map.insert elseNodeId elseNode $ Map.insert mergeNodeId mergeNode (bsCfg st)
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [thenNodeId, elseNodeId] }) currNodeId updatedCfg
+        put $ st { bsCfg = cfgWithSuccs, bsNextNodeId = mergeNodeId + 1 }
+        lastThenNodeId <- buildStmts thenStmts thenNodeId
+        lastElseNodeId <- buildStmts (getCompoundStmts elseAstNode) elseNodeId
+        st' <- get
+        let lastThenNode = lookupOrError "buildStmt PreprocIfdef" (bsCfg st') lastThenNodeId
+        let lastElseNode = lookupOrError "buildStmt PreprocIfdef" (bsCfg st') lastElseNodeId
+        let cfgWithThen = if null (cfgSuccs lastThenNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastThenNodeId (bsCfg st')
+                          else bsCfg st'
+        let cfgWithElse = if null (cfgSuccs lastElseNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastElseNodeId cfgWithThen
+                          else cfgWithThen
+        let predNodes = (if null (cfgSuccs lastThenNode) then [lastThenNodeId] else []) ++
+                        (if null (cfgSuccs lastElseNode) then [lastElseNodeId] else [])
+        let finalCfg = Map.adjust (\n -> n { cfgPreds = predNodes }) mergeNodeId cfgWithElse
+        put $ st' { bsCfg = finalCfg }
+        return mergeNodeId
+    C.PreprocIfndef _ thenStmts elseAstNode -> do
+        st <- get
+        let thenNodeId = bsNextNodeId st
+        let elseNodeId = thenNodeId + 1
+        let mergeNodeId = elseNodeId + 1
+        let thenNode = CFGNode thenNodeId [currNodeId] [] []
+        let elseNode = CFGNode elseNodeId [currNodeId] [] []
+        let mergeNode = CFGNode mergeNodeId [] [] []
+        let updatedCfg = Map.insert thenNodeId thenNode $ Map.insert elseNodeId elseNode $ Map.insert mergeNodeId mergeNode (bsCfg st)
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [thenNodeId, elseNodeId] }) currNodeId updatedCfg
+        put $ st { bsCfg = cfgWithSuccs, bsNextNodeId = mergeNodeId + 1 }
+        lastThenNodeId <- buildStmts thenStmts thenNodeId
+        lastElseNodeId <- buildStmts (getCompoundStmts elseAstNode) elseNodeId
+        st' <- get
+        let lastThenNode = lookupOrError "buildStmt PreprocIfdef" (bsCfg st') lastThenNodeId
+        let lastElseNode = lookupOrError "buildStmt PreprocIfdef" (bsCfg st') lastElseNodeId
+        let cfgWithThen = if null (cfgSuccs lastThenNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastThenNodeId (bsCfg st')
+                          else bsCfg st'
+        let cfgWithElse = if null (cfgSuccs lastElseNode)
+                          then Map.adjust (\n -> n { cfgSuccs = [mergeNodeId] }) lastElseNodeId cfgWithThen
+                          else cfgWithThen
+        let predNodes = (if null (cfgSuccs lastThenNode) then [lastThenNodeId] else []) ++
+                        (if null (cfgSuccs lastElseNode) then [lastElseNodeId] else [])
+        let finalCfg = Map.adjust (\n -> n { cfgPreds = predNodes }) mergeNodeId cfgWithElse
+        put $ st' { bsCfg = finalCfg }
+        return mergeNodeId
+    C.PreprocElse stmts' -> buildStmts stmts' currNodeId
+    C.PreprocElif cond thenStmts elseAstNode ->
+        buildStmt currNodeId (Fix (C.IfStmt cond (Fix (C.CompoundStmt thenStmts)) (Just elseAstNode)))
+    C.WhileStmt cond body -> do
+        st <- get
+        let condNodeId = bsNextNodeId st
+        let bodyNodeId = condNodeId + 1
+        let loopExitNodeId = bodyNodeId + 1
+
+        let (C.L pos cls _) = fromMaybe (C.L (C.AlexPn 0 0 0) C.IdVar "cond") (getLexeme cond)
+        let assumeTrue = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_true"))) [cond])))
+        let assumeFalse = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_assume_false"))) [cond])))
+
+        let condNode = CFGNode condNodeId [] [bodyNodeId, loopExitNodeId] [cond]
+        let bodyNode = CFGNode bodyNodeId [condNodeId] [] [assumeTrue]
+        let loopExitNode = CFGNode loopExitNodeId [condNodeId] [] [assumeFalse]
+
+        let updatedCfg = Map.insert condNodeId condNode $ Map.insert bodyNodeId bodyNode $ Map.insert loopExitNodeId loopExitNode (bsCfg st)
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ [condNodeId] }) currNodeId updatedCfg
+        let cfgWithPreds = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) condNodeId cfgWithSuccs
+
+        put $ st { bsCfg = cfgWithPreds, bsNextNodeId = loopExitNodeId + 1, bsBreaks = loopExitNodeId : bsBreaks st, bsContinues = condNodeId : bsContinues st }
+
+        lastBodyNodeId <- buildStmts (getCompoundStmts body) bodyNodeId
+
+        st' <- get
+
+        let lastBodyNode = lookupOrError "buildStmt WhileStmt" (bsCfg st') lastBodyNodeId
+        let finalCfg = if null (cfgSuccs lastBodyNode) then
+                         Map.adjust (\n -> n { cfgSuccs = [condNodeId] }) lastBodyNodeId $
+                         Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [lastBodyNodeId] }) condNodeId (bsCfg st')
+                       else
+                         bsCfg st'
+        put $ st' { bsCfg = finalCfg, bsBreaks = bsBreaks st, bsContinues = bsContinues st }
+        return loopExitNodeId
+    C.ForStmt init' cond inc body -> do
+        initNodeId <- buildStmt currNodeId init'
+        st <- get
+        let condNodeId = bsNextNodeId st
+        let bodyNodeId = condNodeId + 1
+        let incNodeId = bodyNodeId + 1
+        let exitNodeId' = incNodeId + 1
+
+        let condNode = CFGNode condNodeId [] [bodyNodeId, exitNodeId'] [cond]
+        let bodyNode = CFGNode bodyNodeId [condNodeId] [incNodeId] []
+        let incNode = CFGNode incNodeId [bodyNodeId] [condNodeId] [inc]
+        let exitNode' = CFGNode exitNodeId' [condNodeId] [] []
+
+        let updatedCfg = Map.insert condNodeId condNode $
+                         Map.insert bodyNodeId bodyNode $
+                         Map.insert incNodeId incNode $
+                         Map.insert exitNodeId' exitNode' (bsCfg st)
+
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ [condNodeId] }) initNodeId updatedCfg
+        let cfgWithPreds = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [initNodeId, incNodeId] }) condNodeId cfgWithSuccs
+
+        put $ st { bsCfg = cfgWithPreds, bsNextNodeId = exitNodeId' + 1, bsBreaks = exitNodeId' : bsBreaks st, bsContinues = incNodeId : bsContinues st }
+
+        lastBodyNodeId <- buildStmts (getCompoundStmts body) bodyNodeId
+
+        st' <- get
+        let lastBodyNode = lookupOrError "buildStmt ForStmt" (bsCfg st') lastBodyNodeId
+        let finalCfg = if null (cfgSuccs lastBodyNode) then
+                         Map.adjust (\n -> n { cfgSuccs = [incNodeId] }) lastBodyNodeId $
+                         Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [lastBodyNodeId] }) incNodeId (bsCfg st')
+                       else
+                         bsCfg st'
+
+        put $ st' { bsCfg = finalCfg, bsBreaks = bsBreaks st, bsContinues = bsContinues st }
+        return exitNodeId'
+    C.DoWhileStmt body cond -> do
+        st <- get
+        let bodyNodeId = bsNextNodeId st
+        let condNodeId = bodyNodeId + 1
+        let exitNodeId' = condNodeId + 1
+
+        let bodyNode = CFGNode bodyNodeId [] [condNodeId] []
+        let condNode = CFGNode condNodeId [bodyNodeId] [bodyNodeId, exitNodeId'] [cond]
+        let exitNode = CFGNode exitNodeId' [condNodeId] [] []
+
+        let updatedCfg = Map.insert bodyNodeId bodyNode $ Map.insert condNodeId condNode $ Map.insert exitNodeId' exitNode (bsCfg st)
+        let cfgWithSuccs = Map.adjust (\n -> n { cfgSuccs = [bodyNodeId] }) currNodeId updatedCfg
+        let cfgWithPreds = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId, condNodeId] }) bodyNodeId cfgWithSuccs
+        put $ st { bsCfg = cfgWithPreds, bsNextNodeId = exitNodeId' + 1, bsBreaks = exitNodeId' : bsBreaks st, bsContinues = condNodeId : bsContinues st }
+
+        lastBodyNodeId <- buildStmts (getCompoundStmts body) bodyNodeId
+
+        st' <- get
+        let lastBodyNode = lookupOrError "buildStmt DoWhileStmt" (bsCfg st') lastBodyNodeId
+        let finalCfg = if null (cfgSuccs lastBodyNode) then
+                         Map.adjust (\n -> n { cfgSuccs = [condNodeId] }) lastBodyNodeId $
+                         Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [lastBodyNodeId] }) condNodeId (bsCfg st')
+                       else
+                         bsCfg st'
+
+        put $ st' { bsCfg = finalCfg, bsBreaks = bsBreaks st, bsContinues = bsContinues st }
+        return exitNodeId'
+    C.SwitchStmt cond body -> do
+        st <- get
+        let switchExitNodeId = bsNextNodeId st
+        let switchExitNode = CFGNode switchExitNodeId [] [] []
+        let cfg' = Map.insert switchExitNodeId switchExitNode (bsCfg st)
+        put $ st { bsCfg = cfg', bsNextNodeId = switchExitNodeId + 1, bsBreaks = switchExitNodeId : bsBreaks st }
+
+        let flattenCases stmts = concatMap (\case
+                (Fix (C.Case caseCond (Fix (C.CompoundStmt bodyStmts)))) -> [(Just caseCond, bodyStmts)]
+                (Fix (C.Case _ stmt')) -> flattenCases [stmt']
+                (Fix (C.Default (Fix (C.CompoundStmt bodyStmts)))) -> [(Nothing, bodyStmts)]
+                (Fix (C.Default stmt')) -> flattenCases [stmt']
+                _ -> []) stmts
+
+        let caseBlocks = flattenCases body
+
+        (caseNodeIds, stmts') <- fmap unzip $ mapM (\(_, stmts) -> do
+            st_b <- get
+            let caseId = bsNextNodeId st_b
+            let node = CFGNode caseId [] [] []
+            put $ st_b { bsCfg = Map.insert caseId node (bsCfg st_b), bsNextNodeId = bsNextNodeId st_b + 1 }
+            return (caseId, stmts)) caseBlocks
+
+        -- The switch node is a predecessor to all cases.
+        st_c <- get
+        let (C.L pos cls _) = fromMaybe (C.L (C.AlexPn 0 0 0) C.IdVar "cond") (getLexeme cond)
+        let switchCond = Fix (C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L pos cls "__tokstyle_switch_cond"))) [cond])))
+        let cfg_c' = Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ caseNodeIds, cfgStmts = cfgStmts n ++ [switchCond] }) currNodeId (bsCfg st_c)
+        let cfg_c'' = foldl' (\c i -> Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) i c) cfg_c' caseNodeIds
+        put $ st_c { bsCfg = cfg_c'' }
+
+        -- Process each case.
+        let cases = zip caseNodeIds stmts'
+        let casesWithFallthrough = zip cases (drop 1 (map (Just . fst) cases) ++ [Nothing])
+        unbrokenEndNodes <- fmap concat $ mapM (\((caseNodeId, caseStmts), mNextCaseId) -> do
+            endNodeId <- buildStmts caseStmts caseNodeId
+            st_after <- get
+            let endNode = lookupOrError "buildStmt SwitchStmt" (bsCfg st_after) endNodeId
+
+            if null (cfgSuccs endNode) then
+                case mNextCaseId of
+                    Just nextId -> do
+                        st_f <- get
+                        let cfg_f' = Map.adjust (\n -> n { cfgSuccs = [nextId] }) endNodeId (bsCfg st_f)
+                        let cfg_f'' = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [endNodeId] }) nextId cfg_f'
+                        put $ st_f { bsCfg = cfg_f'' }
+                        return []
+                    Nothing -> return [endNodeId]
+            else return []) casesWithFallthrough
+
+        -- Connect unbroken ends to the exit node.
+        st_d <- get
+        let cfg_d' = foldl' (\c p -> Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ [switchExitNodeId] }) p c) (bsCfg st_d) unbrokenEndNodes
+        let cfg_d'' = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ unbrokenEndNodes }) switchExitNodeId cfg_d'
+
+        -- Also connect switch to exit for default case not being present
+        let hasDefault = any (\case (Nothing, _) -> True; _ -> False) caseBlocks
+        let cfg_d''' = if hasDefault
+                       then cfg_d''
+                       else Map.adjust (\n -> n { cfgSuccs = cfgSuccs n ++ [switchExitNodeId] }) currNodeId cfg_d''
+        let cfg_d'''' = if hasDefault
+                        then cfg_d'''
+                        else Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) switchExitNodeId cfg_d'''
+
+        put $ st_d { bsCfg = cfg_d'''', bsBreaks = bsBreaks st, bsContinues = bsContinues st }
+        return switchExitNodeId
+    C.Return _ -> do
+        st <- get
+        let cfgWithStmt = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        let updatedCfg = Map.adjust (\n -> n { cfgSuccs = [bsExitNodeId st] }) currNodeId cfgWithStmt
+        let cfgWithPred = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) (bsExitNodeId st) updatedCfg
+        put $ st { bsCfg = cfgWithPred }
+        newDisconnectedNode
+    C.Break -> do
+        st <- get
+        let target = case bsBreaks st of
+                (t:_) -> t
+                []    -> error "Break statement outside loop or switch"
+        let cfgWithStmt = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        let updatedCfg = Map.adjust (\n -> n { cfgSuccs = [target] }) currNodeId cfgWithStmt
+        let cfgWithPred = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) target updatedCfg
+        put $ st { bsCfg = cfgWithPred }
+        newDisconnectedNode
+    C.Continue -> do
+        st <- get
+        let target = case bsContinues st of
+                (t:_) -> t
+                []    -> error "Continue statement outside loop"
+        let cfgWithStmt = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        let updatedCfg = Map.adjust (\n -> n { cfgSuccs = [target] }) currNodeId cfgWithStmt
+        let cfgWithPred = Map.adjust (\n -> n { cfgPreds = cfgPreds n ++ [currNodeId] }) target updatedCfg
+        put $ st { bsCfg = cfgWithPred }
+        newDisconnectedNode
+    C.PreprocDefineMacro {} -> do
+        st <- get
+        let updatedCfg = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        put $ st { bsCfg = updatedCfg }
+        return currNodeId
+    C.PreprocUndef {} -> do
+        st <- get
+        let updatedCfg = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        put $ st { bsCfg = updatedCfg }
+        return currNodeId
+    C.PreprocScopedDefine def stmts' undef -> do
+        currNodeId' <- buildStmt currNodeId def
+        currNodeId'' <- buildStmts stmts' currNodeId'
+        buildStmt currNodeId'' undef
+    _ -> do
+        st <- get
+        let updatedCfg = Map.adjust (\n -> n { cfgStmts = cfgStmts n ++ [stmt] }) currNodeId (bsCfg st)
+        put $ st { bsCfg = updatedCfg }
+        return currNodeId
diff --git a/src/Language/Cimple/Analysis/CallGraphAnalysis.hs b/src/Language/Cimple/Analysis/CallGraphAnalysis.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/CallGraphAnalysis.hs
@@ -0,0 +1,107 @@
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.CallGraphAnalysis
+    ( CallGraphResult (..)
+    , CallGraph
+    , SccType (..)
+    , runCallGraphAnalysis
+    ) where
+
+import           Control.Monad.State.Strict (State, execState)
+import qualified Control.Monad.State.Strict as State
+import           Data.Aeson                 (ToJSON)
+import           Data.Fix                   (Fix (..), foldFix)
+import           Data.Graph                 (SCC (..), stronglyConnComp)
+import           Data.Map.Strict            (Map)
+import qualified Data.Map.Strict            as Map
+import           Data.Set                   (Set)
+import qualified Data.Set                   as Set
+import           Data.Text                  (Text)
+import           GHC.Generics               (Generic)
+import           Language.Cimple            (Lexeme (..), Node, NodeF (..))
+import qualified Language.Cimple            as C
+import qualified Language.Cimple.Program    as Program
+
+type CallGraph = Map Text (Set Text)
+
+data SccType = Acyclic Text | Cyclic [Text]
+    deriving (Show, Eq, Generic)
+
+instance ToJSON SccType
+
+data CallGraphResult = CallGraphResult
+    { cgrDirectCalls :: CallGraph
+    , cgrSccs        :: [SccType]
+    } deriving (Show, Generic)
+
+instance ToJSON CallGraphResult
+
+data AnalysisState = AnalysisState
+    { asCurrentFunc :: Maybe Text
+    , asCalls       :: CallGraph
+    , asLocalVars   :: Set Text
+    }
+
+runCallGraphAnalysis :: Program.Program Text -> CallGraphResult
+runCallGraphAnalysis program =
+    let initialState = AnalysisState Nothing Map.empty Set.empty
+        finalState = execState (mapM_ (mapM_ traverseNode . snd) (Program.toList program)) initialState
+        calls = asCalls finalState
+        -- Convert Map to adjacency list for Data.Graph.stronglyConnComp
+        -- Triple: (node_value, key, [callees])
+        adjacencyList = [ (name, name, Set.toList callees) | (name, callees) <- Map.toList calls ]
+        sccs = map fromSCC $ stronglyConnComp adjacencyList
+    in CallGraphResult calls sccs
+  where
+    fromSCC (AcyclicSCC node) = Acyclic node
+    fromSCC (CyclicSCC nodes) = Cyclic nodes
+
+    traverseNode = snd . foldFix alg
+      where
+        alg f = (Fix (fmap fst f), case f of
+            C.FunctionDefn _ (protoOrig, _) (_, bodyAction) -> do
+                case unFix protoOrig of
+                    C.FunctionPrototype _ (L _ _ name) params -> do
+                        oldFunc <- State.gets asCurrentFunc
+                        oldVars <- State.gets asLocalVars
+                        State.modify $ \s -> s { asCurrentFunc = Just name, asLocalVars = Set.empty }
+                        mapM_ registerParam params
+                        -- Ensure the function exists in the map even if it calls nothing
+                        State.modify $ \s -> s { asCalls = Map.insertWith Set.union name Set.empty (asCalls s) }
+                        bodyAction
+                        State.modify $ \s -> s { asCurrentFunc = oldFunc, asLocalVars = oldVars }
+                    _ -> bodyAction
+
+            C.VarDeclStmt (declOrig, _) mInit -> do
+                case unFix declOrig of
+                    C.VarDecl _ (L _ _ name) _ ->
+                        State.modify $ \s -> s { asLocalVars = Set.insert name (asLocalVars s) }
+                    _ -> return ()
+                mapM_ snd mInit
+
+            C.FunctionCall (funOrig, _) args -> do
+                case unFix funOrig of
+                    C.VarExpr (L _ _ callee) -> do
+                        locals <- State.gets asLocalVars
+                        mCaller <- State.gets asCurrentFunc
+                        case mCaller of
+                            Just caller | not (Set.member callee locals) -> State.modify $ \s ->
+                                let calls = Map.insertWith Set.union caller (Set.singleton callee) (asCalls s)
+                                    calls' = Map.insertWith Set.union callee Set.empty calls
+                                in s { asCalls = calls' }
+                            _ -> return ()
+                    _ -> return ()
+                mapM_ snd args
+
+            node -> sequence_ (fmap snd node))
+
+    registerParam = snd . foldFix alg'
+      where
+        alg' f = (Fix (fmap fst f), case f of
+            C.VarDecl _ (L _ _ name) _ ->
+                State.modify $ \s -> s { asLocalVars = Set.insert name (asLocalVars s) }
+            C.NonNullParam (_, action) -> action
+            C.NullableParam (_, action) -> action
+            node -> sequence_ (fmap snd node))
diff --git a/src/Language/Cimple/Analysis/ConstraintGeneration.hs b/src/Language/Cimple/Analysis/ConstraintGeneration.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/ConstraintGeneration.hs
@@ -0,0 +1,858 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE DeriveGeneric       #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE KindSignatures      #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE RankNTypes          #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TupleSections       #-}
+{-# OPTIONS_GHC -Wno-unused-top-binds -Wno-unused-matches -Wno-unused-record-wildcards #-}
+module Language.Cimple.Analysis.ConstraintGeneration
+    ( Constraint (..)
+    , ConstraintGenResult (..)
+    , runConstraintGeneration
+    ) where
+
+import           Control.Applicative                               ((<|>))
+import           Control.Monad                                     (when,
+                                                                    zipWithM_)
+import           Control.Monad.State.Strict                        (State,
+                                                                    execState)
+import qualified Control.Monad.State.Strict                        as State
+import           Data.Aeson                                        (ToJSON)
+import           Data.Fix                                          (Fix (..),
+                                                                    foldFix,
+                                                                    foldFixM,
+                                                                    unFix)
+import           Data.List                                         (find,
+                                                                    foldl')
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Maybe                                        (fromJust,
+                                                                    fromMaybe,
+                                                                    isJust,
+                                                                    mapMaybe)
+import           Data.Set                                          (Set)
+import qualified Data.Set                                          as Set
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import qualified Debug.Trace                                       as Debug
+import           GHC.Generics                                      (Generic)
+import           Language.Cimple                                   (Lexeme (..),
+                                                                    Node)
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.ArrayUsageAnalysis       (ArrayFlavor (..),
+                                                                    ArrayIdentity (..),
+                                                                    ArrayUsageResult (..))
+import           Language.Cimple.Analysis.AstUtils                 (getAlexPosn,
+                                                                    getLexeme,
+                                                                    parseInteger)
+import           Language.Cimple.Analysis.Errors                   (Context (..),
+                                                                    MismatchReason (..))
+import           Language.Cimple.Analysis.GlobalStructuralAnalysis (GlobalAnalysisResult (..))
+import           Language.Cimple.Analysis.NullabilityAnalysis      (NullabilityResult (..))
+import           Language.Cimple.Analysis.TypeSystem               (pattern Array,
+                                                                    pattern BuiltinType,
+                                                                    pattern Const,
+                                                                    pattern Function,
+                                                                    pattern Nonnull,
+                                                                    pattern Nullable,
+                                                                    pattern Owner,
+                                                                    Phase (..),
+                                                                    pattern Pointer,
+                                                                    pattern Singleton,
+                                                                    StdType (..),
+                                                                    pattern Template,
+                                                                    TemplateId (..),
+                                                                    TypeDescr (..),
+                                                                    TypeInfo,
+                                                                    TypeInfoF (..),
+                                                                    TypeRef (..),
+                                                                    pattern TypeRef,
+                                                                    TypeSystem,
+                                                                    pattern Unsupported,
+                                                                    pattern Var,
+                                                                    getInnerType,
+                                                                    isPointerLike,
+                                                                    isVoid,
+                                                                    promote,
+                                                                    promoteNonnull,
+                                                                    stripAllWrappers,
+                                                                    unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Language.Cimple.Analysis.TypeSystem.Constraints   (Constraint (..))
+import qualified Language.Cimple.Program                           as Program
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+data ConstraintGenResult = ConstraintGenResult
+    { cgrConstraints :: Map Text [Constraint 'Local] -- FunctionName -> [Constraint]
+    , cgrDiagnostics :: [Text]               -- Unhandled nodes or other issues
+    , cgrFuncPhases  :: Map Text Integer      -- FunctionName -> PhaseId
+    } deriving (Show, Generic)
+
+instance ToJSON ConstraintGenResult
+
+data ExtractionState = ExtractionState
+    { esVars        :: [Map Text (TypeInfo 'Local)]    -- Stack of maps for lexical scoping
+    , esMacros      :: Map Text ([Text], Node (Lexeme Text))
+    , esTypeSystem  :: TypeSystem
+    , esContext     :: [Context 'Local]
+    , esNextId      :: Int
+    , esCallSiteId  :: Integer
+    , esPhaseId     :: Integer
+    , esFuncPhases  :: Map Text Integer
+    , esReturnType  :: Maybe (TypeInfo 'Local)
+    , esGlobals     :: Set Text
+    , esArrayUsage  :: ArrayUsageResult
+    , esNullability :: NullabilityResult
+    , esCurrentFunc :: Maybe Text
+    , esCurrentPos  :: Maybe C.AlexPosn
+    , esFuncConstrs :: Map Text [Constraint 'Local]
+    , esDiagnostics :: [Text]
+    }
+
+type Extract = State ExtractionState
+
+runConstraintGeneration :: TypeSystem -> ArrayUsageResult -> NullabilityResult -> Program.Program Text -> ConstraintGenResult
+runConstraintGeneration ts aur nr program =
+    let globals = collectGlobals ts
+        initialState = ExtractionState [globals] Map.empty ts [] 0 0 1 Map.empty Nothing (Set.fromList (Map.keys globals)) aur nr Nothing Nothing Map.empty []
+        finalState = execState (mapM_ ((\(path, nodes) -> withContext (InFile path) (checkNodes nodes))) (Program.toList program)) initialState
+    in ConstraintGenResult (esFuncConstrs finalState) (esDiagnostics finalState) (esFuncPhases finalState)
+  where
+    checkNodes []           = return ()
+    checkNodes (node:nodes) = traverseNode node >> checkNodes nodes
+
+    collectGlobals :: TypeSystem -> Map Text (TypeInfo 'Local)
+    collectGlobals = Map.foldlWithKey' toTypeInfo Map.empty
+      where
+        toTypeInfo acc name = \case
+            EnumDescr l mems     -> foldl' (\a -> \case TS.EnumMem ml@(L _ _ tid) -> Map.insert (TS.templateIdBaseName tid) (TS.toLocal 0 Nothing (TypeRef EnumRef (fmap TIdName l) [])) a; _ -> a) acc mems
+            AliasDescr _ _ t     -> Map.insert name (TS.toLocal 0 Nothing t) acc
+            _                    -> acc
+
+withContext :: Context 'Local -> Extract a -> Extract a
+withContext c m = do
+    State.modify $ \s -> s { esContext = c : esContext s }
+    res <- m
+    State.modify $ \s -> s { esContext = drop 1 (esContext s) }
+    return res
+
+addDiagnostic :: Text -> Extract ()
+addDiagnostic msg = State.modify $ \s -> s { esDiagnostics = msg : esDiagnostics s }
+
+addConstraint :: Constraint 'Local -> Extract ()
+addConstraint c = do
+    dtraceM $ "addConstraint: " ++ show c
+    mFunc <- State.gets esCurrentFunc
+    case mFunc of
+        Just f -> State.modify $ \s -> s { esFuncConstrs = Map.insertWith (flip (++)) f [c] (esFuncConstrs s) }
+        Nothing -> return ()
+
+nextTemplate :: Maybe Text -> Extract (TypeInfo 'Local)
+nextTemplate mHint = do
+    i <- State.gets esNextId
+    State.modify $ \s -> s { esNextId = i + 1 }
+    let res = Template (TIdSolver i mHint) Nothing
+    dtraceM $ "nextTemplate: " ++ show res
+    return res
+
+nextPhaseId :: Extract Integer
+nextPhaseId = do
+    ph <- State.gets esPhaseId
+    State.modify $ \s -> s { esPhaseId = ph + 1 }
+    return ph
+
+enterScope :: Extract ()
+enterScope = do
+    dtraceM "enterScope"
+    State.modify $ \s -> s { esVars = Map.empty : esVars s }
+
+exitScope :: Extract ()
+exitScope = do
+    dtraceM "exitScope"
+    State.modify $ \s -> s { esVars = drop 1 (esVars s) }
+
+addVar :: Text -> TypeInfo 'Local -> Extract ()
+addVar name ty = do
+    dtraceM $ "addVar: " ++ T.unpack name ++ " :: " ++ show ty
+    State.modify $ \s ->
+        case esVars s of
+            (m:ms) -> s { esVars = Map.insert name ty m : ms }
+            []     -> s { esVars = [Map.singleton name ty] }
+
+lookupVar :: Text -> Extract (TypeInfo 'Local)
+lookupVar name = do
+    dtraceM $ "lookupVar: " ++ T.unpack name
+    vars <- State.gets esVars
+    res <- case foldl' (\acc m -> acc <|> Map.lookup name m) Nothing vars of
+        Just ty -> do
+            mPos <- State.gets esCurrentPos
+            mFunc <- State.gets esCurrentFunc
+            nr <- State.gets esNullability
+            let mFacts = do
+                    func <- mFunc
+                    Map.lookup func (nrStatementFacts nr)
+            let isNonnull = fromMaybe False $ do
+                    pos <- mPos
+                    factsMap <- mFacts
+                    let facts = case find (\(k, _) -> k == pos) (Map.toList factsMap) of
+                                    Just (_, f) -> f
+                                    Nothing     -> Set.empty
+                    return $ Set.member name facts
+
+            when (not isNonnull && isJust mPos && isJust mFacts) $ do
+                let factsMap = fromJust mFacts
+                let pos = fromJust mPos
+                let matches = [ (k, k == pos) | k <- Map.keys factsMap ]
+                dtraceM $ "lookupVar MISS: " ++ T.unpack name ++ " at " ++ show pos ++ " keys=" ++ show matches
+
+            dtraceM $ "lookupVar " ++ T.unpack name ++ " at " ++ show mPos ++ " in " ++ show mFunc ++ " isNonnull=" ++ show isNonnull
+            if isNonnull
+                then return $ Nonnull (promoteNonnull ty)
+                else return ty
+        Nothing -> do
+            ts <- State.gets esTypeSystem
+            case TS.lookupType name ts of
+                Just descr -> instantiateTypeDescr (L (C.AlexPn 0 0 0) C.IdVar (TS.mkId name)) descr
+                _ | name `elem` ["__func__", "__FUNCTION__", "__PRETTY_FUNCTION__"] -> return $ Pointer (Const (BuiltinType CharTy))
+                _ -> return $ Unsupported $ "undefined variable: " <> name
+    dtraceM $ "lookupVar result: " ++ show res
+    return res
+
+getTypeParams :: TypeSystem -> TypeInfo 'Local -> Maybe [TypeInfo 'Local]
+getTypeParams ts ty = case ty of
+    Function _ ps -> Just ps
+    Pointer t     -> getTypeParams ts t
+    Nonnull t     -> getTypeParams ts t
+    Nullable t    -> getTypeParams ts t
+    Const t       -> getTypeParams ts t
+    Var _ t       -> getTypeParams ts t
+    TypeRef TS.FuncRef (L _ _ tid) args ->
+        case TS.lookupType (TS.templateIdBaseName tid) ts of
+            Just descr ->
+                let m = Map.fromList (zip (TS.getDescrTemplates descr) args)
+                    descr' = TS.instantiateDescr 0 Nothing m descr
+                in case TS.descrToTypeInfo descr' of
+                    Function _ ps' -> Just ps'
+                    _              -> Nothing
+            _ -> Nothing
+    TypeRef TS.UnresolvedRef (L _ _ tid) args ->
+        case TS.lookupType (TS.templateIdBaseName tid) ts of
+            Just (TS.AliasDescr _ _ t) -> getTypeParams ts (TS.toLocal 0 Nothing t)
+            _                          -> Nothing
+    _ -> Nothing
+
+traverseNode :: Node (Lexeme Text) -> Extract (TypeInfo 'Local)
+traverseNode = snd . foldFix alg
+  where
+    alg f = (Fix (fmap fst f), do
+        let nOrig = Fix (fmap fst f)
+        case getAlexPosn nOrig of
+            Just pos -> State.modify $ \s -> s { esCurrentPos = Just pos }
+            Nothing  -> return ()
+        case f of
+            C.FunctionDefn _ (_, protoAction) (_, bodyAction) -> do
+                case unFix nOrig of
+                    C.FunctionDefn _ proto body -> do
+                        case unFix proto of
+                            C.FunctionPrototype ty (L _ _ name) params -> do
+                                phId <- nextPhaseId
+                                State.modify $ \s -> s { esFuncPhases = Map.insert name phId (esFuncPhases s) }
+                                oldFunc <- State.gets esCurrentFunc
+                                oldVars <- State.gets esVars
+                                oldRt <- State.gets esReturnType
+                                ts <- State.gets esTypeSystem
+                                case TS.lookupType name ts of
+                                    Just (FuncDescr _ _ sigRet sigParams) -> do
+                                        rt <- convertToTypeInfo ty
+                                        ctx <- State.gets esContext
+                                        State.modify $ \s -> s { esCurrentFunc = Just name }
+                                        addConstraint $ Equality rt (TS.toLocal phId (Just name) sigRet) Nothing ctx GeneralMismatch
+                                        State.modify $ \s -> s { esReturnType = Just rt }
+                                        enterScope
+                                        mapM_ registerParam params
+                                        vars <- State.gets esVars
+                                        let getParamType' p = case unFix p of
+                                                C.VarDecl _ (L _ _ pName) _ -> case vars of
+                                                    (v:_) -> Map.lookup pName v
+                                                    []    -> Nothing
+                                                C.NonNullParam p' -> getParamType' p'
+                                                C.NullableParam p' -> getParamType' p'
+                                                _ -> Nothing
+                                        let paramTypes = mapMaybe getParamType' params
+                                        mapM_ (uncurry (\p sigP -> addConstraint $ Equality p (TS.toLocal phId (Just name) sigP) Nothing ctx GeneralMismatch)) (zip paramTypes sigParams)
+                                    _ -> do
+                                        let globalScope = case oldVars of
+                                                (g:_) -> g
+                                                []    -> Map.empty
+                                        State.modify $ \s -> s { esCurrentFunc = Just name, esVars = [globalScope] }
+                                        enterScope
+                                        rt <- convertToTypeInfo ty
+                                        State.modify $ \s -> s { esReturnType = Just rt }
+                                        mapM_ registerParam params
+                                _ <- bodyAction
+                                State.modify $ \s -> s { esCurrentFunc = oldFunc, esVars = oldVars, esReturnType = oldRt }
+                                return $ BuiltinType VoidTy
+                            _ -> sequence_ (fmap snd f) >> return (BuiltinType VoidTy)
+                    _ -> sequence_ (fmap snd f) >> return (BuiltinType VoidTy)
+
+            C.IfStmt (condOrig, condAction) (_, thenAction) mElse -> do
+                checkExpected (BuiltinType BoolTy) condOrig
+                _ <- thenAction
+                mapM_ snd mElse
+                return $ BuiltinType VoidTy
+
+            C.WhileStmt (condOrig, condAction) (_, bodyAction) -> do
+                checkExpected (BuiltinType BoolTy) condOrig
+                _ <- bodyAction
+                return $ BuiltinType VoidTy
+
+            C.DoWhileStmt (_, bodyAction) (condOrig, condAction) -> do
+                _ <- bodyAction
+                checkExpected (BuiltinType BoolTy) condOrig
+                return $ BuiltinType VoidTy
+
+            C.CompoundStmt stmts -> do
+                enterScope
+                mapM_ snd stmts
+                exitScope
+                return $ BuiltinType VoidTy
+
+            C.SwitchStmt (condOrig, condAction) cases -> do
+                _ <- inferExpr condOrig
+                mapM_ snd cases
+                return $ BuiltinType VoidTy
+
+            C.Case (labelOrig, labelAction) (_, stmtAction) -> do
+                _ <- inferExpr labelOrig
+                _ <- stmtAction
+                return $ BuiltinType VoidTy
+
+            C.Default (_, stmtAction) -> do
+                _ <- stmtAction
+                return $ BuiltinType VoidTy
+
+            C.ForStmt init' cond step body -> do
+                enterScope
+                _ <- snd init'
+                checkExpected (BuiltinType BoolTy) (fst cond)
+                _ <- snd step
+                _ <- snd body
+                exitScope
+                return $ BuiltinType VoidTy
+
+            C.Return mExpr -> do
+                mRet <- State.gets esReturnType
+                case (mRet, mExpr) of
+                    (Just ret, Just (exprOrig, exprAction)) -> do
+                        checkExpected ret exprOrig
+                        return ()
+                    _ -> sequence_ (fmap snd mExpr)
+                return $ BuiltinType VoidTy
+
+            C.ExprStmt (exprOrig, exprAction) -> do
+                _ <- exprAction
+                return $ BuiltinType VoidTy
+
+            C.VarDeclStmt decl mInit -> do
+                t <- snd decl
+                case mInit of
+                    Just init' -> checkExpected t (fst init')
+                    Nothing    -> return ()
+                return t
+
+            C.VarDecl ty (L _ _ name) arrs -> do
+                t <- convertToTypeInfo (fst ty) >>= flip addArrays (map fst arrs)
+                addVar name t
+                return t
+
+            C.AssignExpr (lhsOrig, lhsAction) op (rhsOrig, rhsAction) -> do
+                lt <- inferExpr lhsOrig
+                rt <- inferExpr rhsOrig
+                let reason = if op == C.AopEq then AssignmentMismatch else GeneralMismatch
+                ctx <- State.gets esContext
+                addConstraint $ Subtype rt lt (getLexeme lhsOrig) ctx reason
+                return lt
+
+            C.BinaryExpr (lhsOrig, lhsAction) _ (rhsOrig, rhsAction) -> do
+                t <- inferExpr nOrig
+                return t
+
+            C.UnaryExpr _ (eOrig, eAction) -> do
+                t <- inferExpr nOrig
+                return t
+
+            C.ArrayAccess (baseOrig, baseAction) (idxOrig, idxAction) -> do
+                t <- inferExpr nOrig
+                return t
+
+            C.MemberAccess (objOrig, objAction) _ -> do
+                t <- inferExpr nOrig
+                return t
+
+            C.PointerAccess (objOrig, objAction) _ -> do
+                t <- inferExpr nOrig
+                return t
+
+            C.TernaryExpr (cOrig, cAction) (tOrig, tAction) (eOrig, eAction) -> do
+                ty <- inferExpr nOrig
+                return ty
+
+            C.FunctionCall fun args -> inferExpr nOrig
+
+            C.StaticAssert (eOrig, eAction) _ -> do
+                return $ BuiltinType VoidTy
+
+            C.CallbackDecl (L p1 t1 ty) (L p2 t2 name) -> do
+                ts <- State.gets esTypeSystem
+                case TS.lookupType ty ts of
+                    Just (FuncDescr _ _ _ _) -> do
+                        addVar name (Pointer (TypeRef TS.FuncRef (L p1 t1 (TS.mkId ty)) []))
+                    _ -> return ()
+                return $ BuiltinType VoidTy
+
+            C.PreprocDefineMacro (L _ _ name) params (bodyOrig, bodyAction) -> do
+                let getParamName p = case unFix p of
+                        C.MacroParam (L _ _ n) -> Just n
+                        _                      -> Nothing
+                let paramNames = mapMaybe getParamName (map fst params)
+                State.modify $ \s -> s { esMacros = Map.insert name (paramNames, bodyOrig) (esMacros s) }
+                return $ BuiltinType VoidTy
+
+            C.AttrPrintf _ _ (_, nAction) -> nAction >> return (BuiltinType VoidTy)
+
+            C.PreprocDefine l -> do
+                State.modify $ \s -> s { esMacros = Map.insert (C.lexemeText l) ([], Fix (C.LiteralExpr C.Int (L (C.AlexPn 0 0 0) C.IdVar "1"))) (esMacros s) }
+                return $ BuiltinType VoidTy
+
+            C.PreprocDefineConst (L _ _ name) (bodyOrig, _) -> do
+                State.modify $ \s -> s { esMacros = Map.insert name ([], bodyOrig) (esMacros s) }
+                return $ BuiltinType VoidTy
+
+            C.PreprocUndef (L _ _ name) -> do
+                State.modify $ \s -> s { esMacros = Map.delete name (esMacros s) }
+                return $ BuiltinType VoidTy
+
+            C.ConstDecl ty (L _ _ name) -> do
+                t <- convertToTypeInfo (fst ty)
+                addVar name t
+                return t
+
+            C.ConstDefn _ ty (L _ _ name) _ -> do
+                t <- convertToTypeInfo (fst ty)
+                addVar name t
+                return t
+
+            C.VLA ty (L _ _ name) (sizeOrig, sizeAction) -> do
+                t <- convertToTypeInfo (fst ty)
+                _ <- sizeAction
+                addVar name (Array (Just t) [])
+                return t
+
+            C.Group nodes -> mapM_ snd nodes >> return (BuiltinType VoidTy)
+            C.ExternC nodes -> mapM_ snd nodes >> return (BuiltinType VoidTy)
+
+            _ -> do
+                sequence_ (fmap snd f)
+                inferExpr nOrig)
+
+registerParam :: Node (Lexeme Text) -> Extract ()
+registerParam = snd . foldFix alg
+  where
+    alg f = (Fix (fmap fst f), case f of
+        C.VarDecl ty (L _ _ name) arrs -> do
+            t <- convertToTypeInfo (fst ty) >>= flip addArrays (map fst arrs)
+            addVar name t
+        C.NonNullParam (_, action) -> action
+        C.NullableParam (_, action) -> action
+        _ -> sequence_ (fmap snd f))
+
+addArrays :: TypeInfo 'Local -> [Node (Lexeme Text)] -> Extract (TypeInfo 'Local)
+addArrays = foldM add
+  where
+    add ty (Fix node) = case node of
+        C.DeclSpecArray _ (Just n) -> case unFix n of
+            C.LiteralExpr C.Int l -> return $ Array (Just ty) [Singleton S32Ty (read (T.unpack (C.lexemeText l)))]
+            _ -> do
+                dt <- inferExpr n
+                return $ Array (Just ty) [dt]
+        C.DeclSpecArray _ Nothing -> return $ Array (Just ty) []
+        _ -> do
+            dt <- inferExpr (Fix node)
+            return $ Array (Just ty) [dt]
+
+    foldM _ z [] = return z
+    foldM f z (x:xs) = do
+        z' <- f z x
+        foldM f z' xs
+
+checkExpected :: TypeInfo 'Local -> Node (Lexeme Text) -> Extract ()
+checkExpected expected expr = case unFix expr of
+    C.InitialiserList exprs -> processInitializerList expected exprs
+    _ -> do
+        actual <- inferExpr expr
+        case (expected, actual) of
+            (BuiltinType BoolTy, t) | isPointerLike t -> return ()
+            _ -> do
+                ctx <- State.gets esContext
+                addConstraint $ Subtype actual expected (getLexeme expr) ctx GeneralMismatch
+        return ()
+
+processInitializerList :: TypeInfo 'Local -> [Node (Lexeme Text)] -> Extract ()
+processInitializerList target exprs = do
+    rt <- resolveType target
+    case rt of
+        TypeRef StructRef l args -> do
+            let name = TS.templateIdBaseName (C.lexemeText l)
+            ts <- State.gets esTypeSystem
+            case TS.lookupType name ts of
+                Just (TS.StructDescr dl _ members) -> do
+                    -- Simple zip for now, matching the test case
+                    let memberTypes = map (TS.toLocal 0 Nothing . snd) members
+                    zipWithM_ checkExpected memberTypes exprs
+                _ -> return ()
+        TypeRef UnionRef l args -> do
+            let name = TS.templateIdBaseName (C.lexemeText l)
+            ts <- State.gets esTypeSystem
+            case TS.lookupType name ts of
+                Just (TS.UnionDescr _ _ members) ->
+                    case (members, exprs) of
+                        (((_, t):_), (e:_)) -> checkExpected (TS.toLocal 0 Nothing t) e
+                        _                   -> return ()
+                _ -> return ()
+        Array (Just et) _ ->
+            mapM_ (checkExpected et) exprs
+        _ -> return ()
+
+deVoidify :: TypeInfo 'Local -> Extract (TypeInfo 'Local)
+deVoidify = foldFixM $ \case
+    BuiltinTypeF VoidTy -> nextTemplate Nothing
+    f                   -> return $ Fix f
+
+instantiateTypeDescr :: Lexeme (TemplateId 'Local) -> TypeDescr 'Global -> Extract (TypeInfo 'Local)
+instantiateTypeDescr _ descr = do
+    let tps = TS.getDescrTemplates descr
+    args <- mapM (nextTemplate . TS.templateIdHint) tps
+    case descr of
+        AliasDescr _ _ target -> do
+            let m = Map.fromList (zip tps args)
+            resolveType $ TS.instantiate 0 Nothing m target
+        IntDescr _ std -> return $ BuiltinType std
+        StructDescr l _ _ -> return $ TypeRef StructRef (fmap TS.mkId l) args
+        UnionDescr l _ _  -> return $ TypeRef UnionRef (fmap TS.mkId l) args
+        EnumDescr l _     -> return $ TypeRef EnumRef (fmap TS.mkId l) args
+        FuncDescr l _ _ _ -> return $ TypeRef TS.FuncRef (fmap TS.mkId l) args
+
+convertToTypeInfo :: Node (Lexeme Text) -> Extract (TypeInfo 'Local)
+convertToTypeInfo = foldFixM $ \case
+    C.TyStd l -> return $ TS.toLocal 0 Nothing (TS.builtin l)
+    C.TyPointer it -> deVoidify (Pointer it)
+    C.TyConst it -> return $ Const it
+    C.TyNonnull it -> return $ Nonnull it
+    C.TyNullable it -> return $ Nullable it
+    C.TyOwner it -> return $ Owner it
+    C.TyBitwise it -> return it
+    C.TyForce _ -> nextTemplate Nothing
+    C.TyStruct (L p t name) -> do
+        ts <- State.gets esTypeSystem
+        case TS.lookupType name ts of
+            Just descr -> instantiateTypeDescr (L p t (TS.mkId name)) descr
+            Nothing -> return $ TypeRef StructRef (L p t (TS.mkId name)) []
+    C.TyUnion (L p t name) -> do
+        ts <- State.gets esTypeSystem
+        case TS.lookupType name ts of
+            Just descr -> instantiateTypeDescr (L p t (TS.mkId name)) descr
+            Nothing    -> return $ TypeRef UnionRef (L p t (TS.mkId name)) []
+    C.TyFunc (L p t name) -> do
+        ts <- State.gets esTypeSystem
+        case TS.lookupType name ts of
+            Just descr -> instantiateTypeDescr (L p t (TS.mkId name)) descr
+            Nothing -> return $ TypeRef TS.FuncRef (L p t (TS.mkId name)) []
+    C.TyUserDefined l@(L p t name) -> do
+        ts <- State.gets esTypeSystem
+        case TS.lookupType name ts of
+            Just descr -> instantiateTypeDescr (L p t (TS.mkId name)) descr
+            Nothing -> case TS.builtin l of
+                TypeRef TS.UnresolvedRef (L p' t' _) _ -> return $ TypeRef TS.UnresolvedRef (L p' t' (TS.mkId name)) []
+                b -> return $ TS.toLocal 0 Nothing b
+    C.Commented _ it -> return it
+    _ -> return $ BuiltinType VoidTy
+
+resolveType :: TypeInfo 'Local -> Extract (TypeInfo 'Local)
+resolveType ty = do
+    ts <- State.gets esTypeSystem
+    return $ TS.resolveRefLocal ts ty
+
+inferExpr :: Node (Lexeme Text) -> Extract (TypeInfo 'Local)
+inferExpr (Fix node') = case node' of
+    C.LiteralExpr C.Int (L _ _ val) ->
+        case parseInteger val of
+            Just n  -> return $ Singleton S32Ty n
+            Nothing -> return $ BuiltinType S32Ty
+    C.LiteralExpr C.Char _ -> return $ BuiltinType CharTy
+    C.LiteralExpr C.Float _ -> return $ BuiltinType F32Ty
+    C.LiteralExpr C.Bool _ -> return $ BuiltinType BoolTy
+    C.LiteralExpr C.String _ -> return $ Pointer (BuiltinType CharTy)
+    C.LiteralExpr C.ConstId (L _ _ "nullptr") -> return $ BuiltinType NullPtrTy
+    C.LiteralExpr C.ConstId (L _ _ "__FILE__") -> return $ Pointer (Const (BuiltinType CharTy))
+    C.LiteralExpr C.ConstId (L _ _ "__func__") -> return $ Pointer (Const (BuiltinType CharTy))
+    C.LiteralExpr C.ConstId (L _ _ "__LINE__") -> return $ BuiltinType S32Ty
+    C.LiteralExpr _ (L _ _ name) -> lookupVar name
+
+    C.VarExpr (L _ _ name) -> lookupVar name
+
+    C.UnaryExpr op e -> do
+        case op of
+            C.UopDeref   -> do
+                t <- inferExpr e
+                let inner = getInnerType t
+                mt <- if isPointerLike t && not (isVoid inner)
+                      then return inner
+                      else nextTemplate Nothing
+                ctx <- State.gets esContext
+                addConstraint $ Subtype t (Pointer mt) (getLexeme e) ctx GeneralMismatch
+                return mt
+            C.UopAddress -> Pointer <$> inferExpr e
+            C.UopNot     -> inferExpr e >> return (BuiltinType BoolTy)
+            C.UopNeg     -> inferExpr e
+            C.UopMinus   -> inferExpr e
+            C.UopIncr    -> inferExpr e
+            C.UopDecr    -> inferExpr e
+
+    C.BinaryExpr lhs op rhs -> do
+        ctx <- State.gets esContext
+        case op of
+            C.BopEq -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                addConstraint (Equality lt rt (getLexeme lhs) ctx GeneralMismatch)
+                return (BuiltinType BoolTy)
+            C.BopNe -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                addConstraint (Equality lt rt (getLexeme lhs) ctx GeneralMismatch)
+                return (BuiltinType BoolTy)
+            C.BopAnd -> checkExpected (BuiltinType BoolTy) lhs >> checkExpected (BuiltinType BoolTy) rhs >> return (BuiltinType BoolTy)
+            C.BopOr -> checkExpected (BuiltinType BoolTy) lhs >> checkExpected (BuiltinType BoolTy) rhs >> return (BuiltinType BoolTy)
+            C.BopPlus -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                if isPointerLike lt
+                    then checkExpected (BuiltinType S32Ty) rhs >> return lt
+                    else if isPointerLike rt
+                    then checkExpected (BuiltinType S32Ty) lhs >> return rt
+                    else return $ promote lt rt
+            C.BopMinus -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                if isPointerLike lt && isPointerLike rt
+                    then return (BuiltinType SizeTy)
+                    else if isPointerLike lt
+                    then checkExpected (BuiltinType S32Ty) rhs >> return lt
+                    else return $ promote lt rt
+            C.BopMul -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopDiv -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopMod -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopBitAnd -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopBitOr -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopBitXor -> do
+                lt <- inferExpr lhs
+                rt <- inferExpr rhs
+                return $ promote lt rt
+            C.BopLsh -> do
+                lt <- inferExpr lhs
+                return lt
+            C.BopRsh -> do
+                lt <- inferExpr lhs
+                return lt
+            C.BopLt -> inferExpr lhs >> inferExpr rhs >> return (BuiltinType BoolTy)
+            C.BopLe -> inferExpr lhs >> inferExpr rhs >> return (BuiltinType BoolTy)
+            C.BopGt -> inferExpr lhs >> inferExpr rhs >> return (BuiltinType BoolTy)
+            C.BopGe -> inferExpr lhs >> inferExpr rhs >> return (BuiltinType BoolTy)
+
+    C.ArrayAccess base idx -> do
+        bt <- inferExpr base
+        rt <- resolveType bt
+        _ <- inferExpr idx
+        mId <- getArrayIdentity base
+        aur <- State.gets esArrayUsage
+        let flavor = case mId of
+                Just ident -> Map.findWithDefault FlavorHomogeneous ident (aurFlavors aur)
+                Nothing    -> FlavorHomogeneous
+
+        let inner = getInnerType rt
+        case flavor of
+            FlavorHeterogeneous -> do
+                it <- inferExpr idx
+                return $ TS.indexTemplates it inner
+            _ -> return inner
+
+    C.PointerAccess obj field -> do
+        ot <- inferExpr obj
+        mt <- nextTemplate (Just $ C.lexemeText field)
+        ctx <- State.gets esContext
+        addConstraint $ MemberAccess (stripAllWrappers ot) (C.lexemeText field) mt (getLexeme obj) ctx GeneralMismatch
+        return mt
+
+    C.MemberAccess obj field -> do
+        ot <- inferExpr obj
+        mt <- nextTemplate (Just $ C.lexemeText field)
+        ctx <- State.gets esContext
+        addConstraint $ MemberAccess ot (C.lexemeText field) mt (getLexeme obj) ctx GeneralMismatch
+        return mt
+
+    C.FunctionCall fun args -> do
+        ft <- inferExpr fun
+        atys <- concat <$> mapM (\argOrig -> do
+            ty <- inferExpr argOrig
+            case (unFix argOrig, ty) of
+                (C.VarExpr (L _ _ "__VA_ARGS__"), Array Nothing ts) -> return ts
+                (C.LiteralExpr C.ConstId (L _ _ "__VA_ARGS__"), Array Nothing ts) -> return ts
+                _ -> return [ty]) args
+        rt <- nextTemplate (Just "ret")
+        ctx <- State.gets esContext
+        csId <- State.gets esCallSiteId
+        State.modify $ \s -> s { esCallSiteId = csId + 1 }
+        ts <- State.gets esTypeSystem
+        let resolvedFt = TS.resolveRefLocal ts ft
+        let formalParams = fromMaybe [] (getTypeParams ts resolvedFt)
+        dtraceM $ "FunctionCall: fun=" ++ show fun ++ " formalParams=" ++ show formalParams ++ " atys=" ++ show atys
+        let isVoidLike t = isVoid t || case unwrap t of Template _ _ -> True; _ -> False
+
+        let interests = zip3 [(0 :: Int)..] formalParams atys
+            isCallback p = isJust (getTypeParams ts p)
+            isData p = isPointerLike p && not (isCallback p)
+            callbacks = [ (i, p, a) | (i, p, a) <- interests, isCallback p ]
+            datas     = [ (i, p, a) | (i, p, a) <- interests, isData p ]
+
+        dtraceM $ "FunctionCall: callbacks=" ++ show (map (\(i,_,_) -> i) callbacks) ++ " datas=" ++ show (map (\(i,_,_) -> i) datas)
+
+        mapM_ (\(i_cb, p_cb, a_cb) -> do
+            let cbParams = fromMaybe [] (getTypeParams ts p_cb)
+            let voidCbParams = [ stripAllWrappers p | p <- cbParams, isVoidLike (stripAllWrappers p) ]
+            dtraceM $ "FunctionCall: callback i=" ++ show i_cb ++ " voidCbParams=" ++ show voidCbParams
+            when (not (null voidCbParams)) $ do
+                let adjacentBefore = find (\(i, _, _) -> i == i_cb - 1) datas
+                let adjacentAfter  = find (\(i, _, _) -> i == i_cb + 1) datas
+                let mTarget = adjacentAfter <|> adjacentBefore <|>
+                              (case datas of [d] -> Just d; _ -> Nothing)
+                dtraceM $ "FunctionCall: callback i=" ++ show i_cb ++ " mTarget=" ++ show (fmap (\(i,_,_) -> i) mTarget)
+                case mTarget of
+                    Just (_, p_data, a_data) -> do
+                        let targetInner = getInnerType p_data
+                        let hasNonGenericMatch = any (\p -> not (isVoidLike (stripAllWrappers p)) &&
+                                                           (stripAllWrappers p == stripAllWrappers targetInner)) cbParams
+                        when (not hasNonGenericMatch) $
+                            mapM_ (\dvp -> do
+                                dtraceM $ "FunctionCall: emit CoordinatedPair for i=" ++ show i_cb ++ " data=" ++ show a_data ++ " dvp=" ++ show dvp
+                                addConstraint $ CoordinatedPair a_cb (getInnerType a_data) dvp (getLexeme fun) ctx (Just csId)
+                                ) voidCbParams
+                    Nothing -> return ()
+            ) callbacks
+        mName <- case unFix fun of
+            C.VarExpr (L _ _ name)               -> return $ Just name
+            C.LiteralExpr C.ConstId (L _ _ name) -> return $ Just name
+            _                                    -> return Nothing
+        case mName of
+            Just name -> do
+                macros <- State.gets esMacros
+                case Map.lookup name macros of
+                    Just (params, body) -> do
+                        oldVars <- State.gets esVars
+                        let subVars = Map.fromList $ zip params atys
+                        let vaArgs = drop (length params) atys
+                        let subVars' = case vaArgs of
+                                            [] -> subVars
+                                            _  -> Map.insert "__VA_ARGS__" (Array Nothing vaArgs) subVars
+                        State.modify $ \s -> s { esVars = subVars' : oldVars }
+                        res <- withContext (InMacro name) $ inferExpr body
+                        _ <- withContext (InMacro name) $ traverseNode body
+                        State.modify $ \s -> s { esVars = oldVars }
+                        return res
+                    Nothing -> fallback ft atys rt ctx csId
+            Nothing -> fallback ft atys rt ctx csId
+      where
+        fallback ft atys rt ctx csId = do
+            addConstraint $ Callable ft atys rt (getLexeme fun) ctx (Just csId) True
+            return rt
+
+    C.TernaryExpr cond thenE elseE -> do
+        checkExpected (BuiltinType BoolTy) cond
+        tt <- inferExpr thenE
+        et <- inferExpr elseE
+        ctx <- State.gets esContext
+        addConstraint $ Equality tt et (getLexeme thenE) ctx GeneralMismatch
+        return tt
+
+    C.AssignExpr lhs _ rhs -> inferExpr lhs
+
+    C.ParenExpr e -> traverseNode e
+    C.CastExpr ty e -> do
+        et <- inferExpr e
+        t <- convertToTypeInfo ty
+        let hasForce = foldFix (\case { C.TyForce _ -> True; f -> any id f }) ty
+        if hasForce
+            then return t
+            else do
+                ctx <- State.gets esContext
+                addConstraint $ Subtype et t (getLexeme e) ctx GeneralMismatch
+                return t
+    C.CompoundLiteral ty e -> do
+        t <- convertToTypeInfo ty
+        checkExpected t e
+        return t
+
+    C.SizeofExpr _ -> return $ BuiltinType SizeTy
+    C.SizeofType _ -> return $ BuiltinType SizeTy
+
+    _ -> do
+        let name = T.pack $ take 40 $ show node'
+        addDiagnostic $ "unhandled expression: " <> name
+        return $ Unsupported name
+
+getArrayIdentity :: Node (Lexeme Text) -> Extract (Maybe ArrayIdentity)
+getArrayIdentity (Fix node) = case node of
+    C.VarExpr (L _ _ name) -> do
+        mFunc <- State.gets esCurrentFunc
+        return $ Just $ case mFunc of
+            Just f  -> LocalArray f name
+            Nothing -> GlobalArray name
+    C.PointerAccess obj (L _ _ field) -> do
+        mObjTy <- inferExpr obj
+        case stripAllWrappers mObjTy of
+            TypeRef _ (L _ _ tid) _ ->
+                let name = TS.templateIdBaseName tid in
+                return $ Just $ MemberArray name field
+            _ -> return Nothing
+    C.MemberAccess obj (L _ _ field) -> do
+        mObjTy <- inferExpr obj
+        case mObjTy of
+            TypeRef _ (L _ _ tid) _ ->
+                let name = TS.templateIdBaseName tid in
+                return $ Just $ MemberArray name field
+            _ -> return Nothing
+    _ -> return Nothing
diff --git a/src/Language/Cimple/Analysis/DataFlow.hs b/src/Language/Cimple/Analysis/DataFlow.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/DataFlow.hs
@@ -0,0 +1,162 @@
+{-# LANGUAGE AllowAmbiguousTypes    #-}
+{-# LANGUAGE FlexibleContexts       #-}
+{-# LANGUAGE FlexibleInstances      #-}
+{-# LANGUAGE FunctionalDependencies #-}
+{-# LANGUAGE KindSignatures         #-}
+{-# LANGUAGE LambdaCase             #-}
+{-# LANGUAGE MultiParamTypeClasses  #-}
+{-# LANGUAGE MultiWayIf             #-}
+{-# LANGUAGE OverloadedStrings      #-}
+{-# LANGUAGE ScopedTypeVariables    #-}
+{-# LANGUAGE TupleSections          #-}
+
+-- | This module provides a generic framework for forward data flow analysis
+-- on C code, represented by the 'Language.Cimple.Ast'. It includes tools
+-- for building a control flow graph (CFG) from a function definition and
+-- a fixpoint solver to compute data flow facts.
+--
+-- The core components are:
+--
+-- * 'CFG': A control flow graph representation, where nodes contain basic
+--   blocks of statements.
+-- * 'DataFlow': A type class that defines the specific analysis to be
+--   performed (e.g., reaching definitions, liveness analysis).
+-- * 'buildCFG': A function to construct a 'CFG' from a 'C.FunctionDefn'.
+-- * 'fixpoint': A generic solver that iteratively computes data flow facts
+--   until a stable state (fixpoint) is reached.
+--
+-- To use this module, you need to:
+--
+-- 1. Define a data type for your data flow facts.
+-- 2. Create an instance of the 'DataFlow' type class for your data type,
+--    implementing 'emptyFacts', 'transfer', and 'join'.
+-- 3. Build the CFG for a function using 'buildCFG'.
+-- 4. Run the 'fixpoint' solver on the generated CFG.
+-- 5. Extract and use the computed 'cfgInFacts' and 'cfgOutFacts' from the
+--    resulting CFG.
+module Language.Cimple.Analysis.DataFlow
+    ( CFGNode (..)
+    , CFG
+    , DataFlow (..)
+    , fixpoint
+    , buildCFG
+    ) where
+
+import           Control.Monad                     (foldM)
+import           Data.Fix                          (Fix (Fix, unFix))
+import           Data.Foldable                     (foldl')
+import           Data.Kind                         (Type)
+import           Data.Map.Strict                   (Map)
+import qualified Data.Map.Strict                   as Map
+import           Data.Maybe                        (mapMaybe)
+import           Data.Set                          (Set)
+import qualified Data.Set                          as Set
+import           Data.String                       (IsString)
+import           Debug.Trace                       (trace)
+import           Language.Cimple                   (NodeF (..))
+import qualified Language.Cimple                   as C
+import qualified Language.Cimple.Analysis.CFG      as CFGBuilder
+import           Language.Cimple.Analysis.Types    (lookupOrError)
+import           Language.Cimple.Analysis.Worklist
+import           Language.Cimple.Pretty            (showNodePlain)
+import           Prettyprinter                     (Pretty (..))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then trace msg x else x
+
+-- | A node in the control flow graph. Each node represents a basic block
+-- of statements.
+data CFGNode l a = CFGNode
+    { cfgNodeId   :: Int -- ^ A unique identifier for the node.
+    , cfgPreds    :: [Int] -- ^ A list of predecessor node IDs.
+    , cfgSuccs    :: [Int] -- ^ A list of successor node IDs.
+    , cfgStmts    :: [C.Node (C.Lexeme l)] -- ^ The statements in this basic block.
+    , cfgInFacts  :: a -- ^ The data flow facts at the entry of this node.
+    , cfgOutFacts :: a -- ^ The data flow facts at the exit of this node.
+    }
+    deriving (Show, Eq)
+
+-- | The Control Flow Graph is a map from node IDs to 'CFGNode's.
+type CFG l a = Map Int (CFGNode l a)
+
+-- | A type class for data flow analysis. Users of this framework must
+-- provide an instance of this class for their specific analysis.
+class (Eq a, Show a, Monad m, Ord callCtx) => DataFlow m (c :: Type -> Type) l a callCtx | a -> l, a -> callCtx where
+    -- | The facts for an empty basic block.
+    emptyFacts :: c l -> m a
+    -- | The transfer function defines how a single statement affects the
+    -- data flow facts. It takes the facts before the statement and
+    -- returns the facts after the statement, plus any new work discovered.
+    transfer :: c l -> l -> Int -> a -> C.Node (C.Lexeme l) -> m (a, Set (l, callCtx))
+    -- | The join operator combines facts from multiple predecessor nodes.
+    -- This is used at control flow merge points (e.g., after an if-statement
+    -- or at the start of a loop).
+    join :: c l -> a -> a -> m a
+
+-- | A generic fixpoint solver for forward data flow analysis. This function
+-- iteratively applies the transfer function to each node in the CFG until
+-- the data flow facts no longer change. It uses a worklist algorithm for
+-- efficiency, and returns the final CFG along with any new work discovered.
+fixpoint :: forall m c l a callCtx. (DataFlow m c l a callCtx, Show l, Ord l) => c l -> l -> CFG l a -> m (CFG l a, Set (l, callCtx))
+fixpoint ctx funcName (cfg :: CFG l a) =
+    let
+        worklist = fromList (Map.keys cfg)
+    in
+        go worklist cfg Set.empty
+    where
+        go :: Worklist Int -> CFG l a -> Set (l, callCtx) -> m (CFG l a, Set (l, callCtx))
+        go worklist cfg' accumulatedWork
+            | Just (currentId, worklist') <- pop worklist = do
+                let node = lookupOrError "fixpoint" cfg' currentId
+                let predNodes = mapMaybe (`Map.lookup` cfg') (cfgPreds node)
+
+                inFacts' <- case predNodes of
+                    [] -> return $ cfgInFacts node
+                    (firstPred:restPreds) -> foldM (join ctx) (cfgOutFacts firstPred) (map cfgOutFacts restPreds)
+
+                (outFacts', blockWork) <-
+                    foldM
+                        (\(accFacts, accWork) stmt -> do
+                            (newFacts, newWork) <- transfer ctx funcName (cfgNodeId node) (dtrace ("fixpoint fold: accFacts=" <> show accFacts) accFacts) stmt
+                            return (newFacts, Set.union accWork newWork))
+                        (inFacts', Set.empty)
+                        (cfgStmts node)
+
+                let outFactsChanged = outFacts' /= cfgOutFacts node
+                let cfg'' = dtrace (unlines [ "fixpoint (" <> show funcName <> ", node " <> show currentId <> "):"
+                                            , "  inFacts': " <> show inFacts'
+                                            , "  outFacts': " <> show outFacts'
+                                            , "  old outFacts: " <> show (cfgOutFacts node)
+                                            , "  outFactsChanged: " <> show outFactsChanged
+                                            ]) $ Map.insert currentId (node { cfgInFacts = inFacts', cfgOutFacts = outFacts' }) cfg'
+                let worklist'' = if outFactsChanged
+                        then pushList (cfgSuccs node) worklist'
+                        else worklist'
+                let accumulatedWork' = Set.union accumulatedWork blockWork
+                go worklist'' cfg'' accumulatedWork'
+            | otherwise = return (cfg', accumulatedWork)
+
+-- | Build a control flow graph for a function definition. This is the main
+-- entry point for constructing a CFG from a Cimple AST.
+buildCFG :: forall m c l a callCtx. (DataFlow m c l a callCtx, Pretty l, Ord l, Show l, IsString l) => c l -> C.Node (C.Lexeme l) -> a -> m (CFG l a)
+buildCFG ctx cNode@(Fix (C.FunctionDefn _ (Fix (C.FunctionPrototype _ (C.L _ _ funcName) _)) _)) initialFacts = do
+    let structuralCFG = CFGBuilder.buildCFG cNode
+
+    let addFacts :: Int -> CFGBuilder.CFGNode l -> m (CFGNode l a)
+        addFacts nodeId structuralNode = do
+            facts <- if nodeId == 0 then return initialFacts else emptyFacts ctx
+            return $ CFGNode
+                    { cfgNodeId   = CFGBuilder.cfgNodeId structuralNode
+                    , cfgPreds    = CFGBuilder.cfgPreds structuralNode
+                    , cfgSuccs    = CFGBuilder.cfgSuccs structuralNode
+                    , cfgStmts    = CFGBuilder.cfgStmts structuralNode
+                    , cfgInFacts  = facts
+                    , cfgOutFacts = facts
+                    }
+
+    dfaCFG <- Map.traverseWithKey addFacts structuralCFG
+    return $ dtrace ("\n--- CFG for " <> show funcName <> " ---\n" <> show (fmap (\n -> (cfgNodeId n, cfgPreds n, cfgSuccs n, map showNodePlain (cfgStmts n))) dfaCFG)) dfaCFG
+buildCFG _ _ _ = return Map.empty
diff --git a/src/Language/Cimple/Analysis/Errors.hs b/src/Language/Cimple/Analysis/Errors.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Errors.hs
@@ -0,0 +1,155 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE KindSignatures    #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE RecordWildCards   #-}
+module Language.Cimple.Analysis.Errors
+    ( Context(..)
+    , MismatchReason(..)
+    , Qualifier(..)
+    , MismatchContext(..)
+    , MismatchDetail(..)
+    , Provenance(..)
+    , TypeError(..)
+    , ErrorInfo(..)
+    ) where
+
+import           Data.Aeson                          (ToJSON (..), object, (.=))
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import           GHC.Generics                        (Generic)
+import           Language.Cimple                     (Lexeme (..), Node)
+import           Language.Cimple.Analysis.TypeSystem (ArbitraryTemplateId (..),
+                                                      Phase (..),
+                                                      Qualifier (..), TypeInfo)
+import           Prettyprinter                       (Doc, defaultLayoutOptions,
+                                                      layoutPretty, unAnnotate)
+import           Prettyprinter.Render.Terminal       (AnsiStyle)
+import qualified Prettyprinter.Render.Text           as TR
+import           Test.QuickCheck                     (Arbitrary (..), oneof,
+                                                      scale)
+
+-- | Context in which type checking is occurring
+data Context (p :: Phase)
+    = InFile FilePath
+    | InFunction Text
+    | InMacro Text
+    | InMemberAccess Text
+    | InExpr (Node (Lexeme Text))
+    | InStmt (Node (Lexeme Text))
+    | InInitializer (Node (Lexeme Text))
+    | InUnification (TypeInfo p) (TypeInfo p) MismatchReason
+    deriving (Show, Eq, Ord, Generic)
+
+instance ArbitraryTemplateId p => Arbitrary (Context p) where
+    arbitrary = oneof
+        [ InFile <$> arbitrary
+        , InFunction . T.pack <$> arbitrary
+        , InMacro . T.pack <$> arbitrary
+        , InMemberAccess . T.pack <$> arbitrary
+        , InUnification <$> scale (\x -> x - 1) arbitrary <*> scale (\x -> x - 1) arbitrary <*> arbitrary
+        ]
+
+instance ToJSON (Context p)
+
+-- | Reason for a type mismatch
+data MismatchReason
+    = GeneralMismatch
+    | ReturnMismatch
+    | ArgumentMismatch Int -- Index
+    | AssignmentMismatch
+    | InitializerMismatch
+    deriving (Show, Eq, Ord, Generic)
+
+instance Arbitrary MismatchReason where
+    arbitrary = oneof
+        [ return GeneralMismatch
+        , return ReturnMismatch
+        , ArgumentMismatch <$> arbitrary
+        , return AssignmentMismatch
+        , return InitializerMismatch
+        ]
+
+instance ToJSON MismatchReason
+
+data MismatchContext
+    = InPointer
+    | InArray
+    | InFunctionReturn
+    | InFunctionParam Int
+    deriving (Show, Eq, Ord, Generic)
+
+instance Arbitrary MismatchContext where
+    arbitrary = oneof
+        [ return InPointer
+        , return InArray
+        , return InFunctionReturn
+        , InFunctionParam <$> arbitrary
+        ]
+
+instance ToJSON MismatchContext
+
+data MismatchDetail (p :: Phase)
+    = MismatchDetail
+        { mismatchExpected :: TypeInfo p
+        , mismatchActual   :: TypeInfo p
+        , mismatchReason   :: MismatchReason
+        , mismatchInner    :: Maybe (MismatchContext, MismatchDetail p)
+        }
+    | MissingQualifier Qualifier (TypeInfo p) (TypeInfo p)
+    | UnexpectedQualifier Qualifier (TypeInfo p) (TypeInfo p)
+    | BaseMismatch (TypeInfo p) (TypeInfo p)
+    | ArityMismatch Int Int -- Expected, Actual
+    deriving (Show, Eq, Ord, Generic)
+
+instance ToJSON (MismatchDetail p)
+
+-- | Origin of a type or binding
+data Provenance (p :: Phase)
+    = FromDefinition Text (Maybe (Lexeme Text)) -- Symbol name and definition site
+    | FromContext (ErrorInfo p)                     -- Context where binding happened
+    | FromInference (Node (Lexeme Text))         -- Expression that caused inference
+    | Builtin                                   -- Language builtin
+    deriving (Show, Generic)
+
+-- instance ToJSON Provenance -- ErrorInfo doesn't have ToJSON yet, might be complex due to Doc
+
+-- | Structured type error
+data TypeError (p :: Phase)
+    = TypeMismatch (TypeInfo p) (TypeInfo p) MismatchReason (Maybe (MismatchDetail p))
+    | UndefinedVariable Text
+    | UndefinedType Text
+    | MemberNotFound Text (TypeInfo p)
+    | NotAStruct (TypeInfo p)
+    | TooManyArgs { expectedCount :: Int, actualCount :: Int }
+    | TooFewArgs { expectedCount :: Int, actualCount :: Int }
+    | NotALValue
+    | CallingNonFunction Text (TypeInfo p)
+    | SwitchConditionNotIntegral (TypeInfo p)
+    | DereferencingNonPointer (TypeInfo p)
+    | ArrayAccessNonArray (TypeInfo p)
+    | MacroArgumentMismatch Text Int Int -- Name, expected, actual
+    | MissingReturnValue (TypeInfo p)
+    | InfiniteType Text (TypeInfo p)
+    | CustomError Text
+    deriving (Show, Generic)
+
+instance ToJSON (TypeError p)
+
+-- | Error information with context
+data ErrorInfo (p :: Phase) = ErrorInfo
+    { errLoc         :: Maybe (Lexeme Text)
+    , errContext     :: [Context p]
+    , errType        :: TypeError p
+    , errExplanation :: [Doc AnsiStyle]
+    }
+    deriving (Show, Generic)
+
+instance ToJSON (ErrorInfo p) where
+    toJSON ErrorInfo{..} = object
+        [ "loc" .= errLoc
+        , "context" .= errContext
+        , "type" .= errType
+        , "explanation" .= map (TR.renderStrict . layoutPretty defaultLayoutOptions . unAnnotate) errExplanation
+        ]
diff --git a/src/Language/Cimple/Analysis/GlobalStructuralAnalysis.hs b/src/Language/Cimple/Analysis/GlobalStructuralAnalysis.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/GlobalStructuralAnalysis.hs
@@ -0,0 +1,61 @@
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.GlobalStructuralAnalysis
+    ( GlobalAnalysisResult (..)
+    , GenericHotspot (..)
+    , runGlobalStructuralAnalysis
+    ) where
+
+import           Data.Aeson                          (ToJSON)
+import qualified Data.Map.Strict                     as Map
+import           Data.Set                            (Set)
+import qualified Data.Set                            as Set
+import           Data.Text                           (Text)
+import           GHC.Generics                        (Generic)
+import           Language.Cimple.Analysis.TypeSystem (TypeDescr (..),
+                                                      TypeSystem, isGeneric)
+import qualified Language.Cimple.Analysis.TypeSystem as TypeSystem
+import qualified Language.Cimple.Program             as Program
+
+data GenericHotspot
+    = StructHotspot Text -- Struct contains void* or templates
+    | FunctionHotspot Text -- Function signature uses void* or templates
+    deriving (Show, Eq, Ord, Generic)
+
+instance ToJSON GenericHotspot
+
+data GlobalAnalysisResult = GlobalAnalysisResult
+    { garTypeSystem :: TypeSystem
+    , garHotspots   :: Set GenericHotspot
+    } deriving (Show, Generic)
+
+instance ToJSON GlobalAnalysisResult
+
+runGlobalStructuralAnalysis :: Program.Program Text -> GlobalAnalysisResult
+runGlobalStructuralAnalysis program =
+    let programList = Program.toList program
+        ts = TypeSystem.collect programList
+        hotspots = findHotspots ts
+    in GlobalAnalysisResult ts hotspots
+
+findHotspots :: TypeSystem -> Set GenericHotspot
+findHotspots ts =
+    let structHotspots = Map.foldlWithKey' checkStruct Set.empty ts
+        funcHotspots = Map.foldlWithKey' checkFunc Set.empty ts
+    in Set.union structHotspots funcHotspots
+  where
+    checkStruct acc name descr =
+        case descr of
+            StructDescr _ _ members | any (isGeneric . snd) members ->
+                Set.insert (StructHotspot name) acc
+            UnionDescr _ _ members | any (isGeneric . snd) members ->
+                Set.insert (StructHotspot name) acc
+            _ -> acc
+
+    checkFunc acc name descr =
+        case descr of
+            FuncDescr _ _ ret params | isGeneric ret || any isGeneric params ->
+                Set.insert (FunctionHotspot name) acc
+            _ -> acc
diff --git a/src/Language/Cimple/Analysis/NullabilityAnalysis.hs b/src/Language/Cimple/Analysis/NullabilityAnalysis.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/NullabilityAnalysis.hs
@@ -0,0 +1,216 @@
+{-# LANGUAGE DeriveAnyClass        #-}
+{-# LANGUAGE DeriveGeneric         #-}
+{-# LANGUAGE FlexibleContexts      #-}
+{-# LANGUAGE FlexibleInstances     #-}
+{-# LANGUAGE LambdaCase            #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE OverloadedStrings     #-}
+{-# LANGUAGE ScopedTypeVariables   #-}
+{-# LANGUAGE StandaloneDeriving    #-}
+
+module Language.Cimple.Analysis.NullabilityAnalysis
+    ( NullabilityFacts
+    , NullabilityResult (..)
+    , runNullabilityAnalysis
+    ) where
+
+import           Control.Monad.Identity            (Identity (..))
+import           Data.Aeson                        (ToJSON)
+import           Data.Fix                          (Fix (..), foldFix, unFix)
+import           Data.Foldable                     (foldMap, toList)
+import           Data.List                         (foldl')
+import           Data.Map.Strict                   (Map)
+import qualified Data.Map.Strict                   as Map
+import           Data.Maybe                        (fromMaybe, mapMaybe)
+import           Data.Set                          (Set)
+import qualified Data.Set                          as Set
+import           Data.Text                         (Text)
+import qualified Data.Text                         as T
+import qualified Debug.Trace                       as Debug
+import           GHC.Generics                      (Generic)
+import           Language.Cimple                   (NodeF (..))
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Analysis.AstUtils (getAlexPosn, getParamName,
+                                                    getVar, isNonnullParam,
+                                                    isNonnullType)
+import           Language.Cimple.Analysis.DataFlow (CFG, CFGNode (..),
+                                                    DataFlow (..), buildCFG,
+                                                    fixpoint)
+import qualified Language.Cimple.Program           as Program
+
+-- | Variables currently known to be non-null.
+type NullabilityFacts = Set Text
+
+data NullabilityResult = NullabilityResult
+    { nrFunctionFacts  :: Map Text (Map Int NullabilityFacts)
+    -- ^ FunctionName -> (CFGNodeID -> Facts)
+    , nrStatementFacts :: Map Text (Map C.AlexPosn NullabilityFacts)
+    -- ^ FunctionName -> (Position -> Facts)
+    } deriving (Show, Generic, ToJSON)
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+data NullabilityContext l = NullabilityContext
+    { ncNonnullParams :: NonnullParams
+    }
+
+instance DataFlow Identity NullabilityContext Text NullabilityFacts () where
+    emptyFacts _ = return Set.empty
+    join _ a b = return $ Set.intersection a b
+    transfer ctx _ _ facts stmt = return (transferStmt (ncNonnullParams ctx) facts stmt, Set.empty)
+
+type NonnullParams = Map Text (Set Int)
+
+buildNonnullParamsMap :: Program.Program Text -> NonnullParams
+buildNonnullParamsMap program =
+    Map.fromList $ concatMap (collectPrototypes . snd) (Program.toList program)
+  where
+    collectPrototypes nodes = concatMap collectPrototypes' nodes
+    collectPrototypes' (Fix node) =
+        let rest = concatMap collectPrototypes' (toList node)
+        in case node of
+            C.FunctionPrototype _ (C.L _ _ name) params ->
+                let nonnulls = Set.fromList [ i | (i, p) <- zip [0..] params, isNonnullParam p ]
+                in (name, nonnulls) : rest
+            _ -> rest
+
+runNullabilityAnalysis :: Program.Program Text -> NullabilityResult
+runNullabilityAnalysis program =
+    let allNodes = Program.toList program >>= snd
+        nnMap = buildNonnullParamsMap program
+        results = concatMap (collectFunctions nnMap) allNodes
+        funcFacts = Map.fromList $ map (\(n, f, _) -> (n, f)) results
+        stmtFacts = Map.fromList $ map (\(n, _, s) -> (n, s)) results
+    in NullabilityResult funcFacts stmtFacts
+  where
+    collectFunctions :: NonnullParams -> C.Node (C.Lexeme Text) -> [(Text, Map Int NullabilityFacts, Map C.AlexPosn NullabilityFacts)]
+    collectFunctions nnMap n@(Fix node) =
+        let results = concatMap (collectFunctions nnMap) (toList node)
+            current = case node of
+                C.FunctionDefn _ proto _ ->
+                    case getProtoName proto of
+                        Just name ->
+                            let initialFacts = getInitialFacts proto
+                                ctx = NullabilityContext nnMap
+                                cfg = runIdentity $ buildCFG ctx n initialFacts :: CFG Text NullabilityFacts
+                                (finalCfg, _) = runIdentity $ fixpoint ctx name cfg
+                                facts = Map.map cfgInFacts finalCfg
+                                sFacts = Map.unions $ map (computeNodeStatementFacts nnMap name) (Map.elems finalCfg)
+                            in [(name, facts, sFacts)]
+                        Nothing -> []
+                _ -> []
+        in current ++ results
+
+    getInitialFacts (Fix (C.FunctionPrototype _ _ params)) =
+        Set.fromList $ mapMaybe (\p -> if isNonnullParam p then getParamName p else Nothing) params
+    getInitialFacts (Fix (C.Commented _ n)) = getInitialFacts n
+    getInitialFacts _ = Set.empty
+
+    getProtoName (Fix (C.FunctionPrototype _ (C.L _ _ name) _)) = Just name
+    getProtoName (Fix (C.Commented _ n))                        = getProtoName n
+    getProtoName _                                              = Nothing
+
+    computeNodeStatementFacts nnMap funcName node =
+        snd $ foldl' (\(facts, acc) stmt ->
+            let newFacts = transferStmt nnMap facts stmt
+                acc' = case getAlexPosn stmt of
+                         Just pos ->
+                             dtrace ("Nullability STORE: " ++ T.unpack funcName ++ " at " ++ show pos ++ " facts=" ++ show facts) $
+                             Map.insert pos facts acc -- Facts BEFORE statement
+                         Nothing  -> acc
+            in (newFacts, acc')
+        ) (cfgInFacts node, Map.empty) (cfgStmts node)
+
+transferStmt :: NonnullParams -> NullabilityFacts -> C.Node (C.Lexeme Text) -> NullabilityFacts
+transferStmt nnMap facts stmt@(Fix node) =
+    let implicit = extractImplicitNonnull stmt
+        facts' = facts <> implicit
+        newFacts = case node of
+            C.VarDeclStmt (Fix (C.VarDecl _ (C.L _ _ name) _)) mInit ->
+                case mInit of
+                    Just initExpr -> if isGuaranteedNonnull facts' initExpr
+                                     then Set.insert name facts'
+                                     else Set.delete name facts'
+                    Nothing -> facts'
+
+            C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ name))) _ rhs)) ->
+                if isGuaranteedNonnull facts' rhs
+                then Set.insert name facts'
+                else Set.delete name facts'
+
+            C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L _ _ "__tokstyle_assume_true"))) [cond])) ->
+                facts' <> extractVarsFromNonnullCond cond
+
+            C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L _ _ "__tokstyle_assume_false"))) [cond])) ->
+                facts' <> extractVarsFromNullCond cond
+
+            C.ExprStmt (Fix (C.FunctionCall (Fix (C.VarExpr (C.L _ _ name))) args)) ->
+                case Map.lookup name nnMap of
+                    Just nnIndices ->
+                        let calledWithNonnull = Set.fromList [ var | (i, arg) <- zip [0..] args, Set.member i nnIndices, Just var <- [getVar arg] ]
+                        in facts' <> calledWithNonnull
+                    Nothing -> facts'
+
+            _ -> facts'
+    in dtrace ("Nullability TRANSFER: " ++ show (getAlexPosn stmt) ++ " facts=" ++ show facts ++ " -> " ++ show newFacts) newFacts
+
+extractImplicitNonnull :: C.Node (C.Lexeme Text) -> Set Text
+extractImplicitNonnull (Fix node) =
+    let self = case node of
+            C.UnaryExpr C.UopDeref e -> maybe Set.empty Set.singleton (getVar e)
+            C.MemberAccess e _ -> maybe Set.empty Set.singleton (getVar e)
+            C.PointerAccess e _ -> maybe Set.empty Set.singleton (getVar e)
+            C.ArrayAccess e _ -> maybe Set.empty Set.singleton (getVar e)
+            C.CastExpr ty e | isNonnullType ty -> maybe Set.empty Set.singleton (getVar e)
+            _ -> Set.empty
+    in self <> foldMap extractImplicitNonnull node
+
+
+isGuaranteedNonnull :: NullabilityFacts -> C.Node (C.Lexeme Text) -> Bool
+isGuaranteedNonnull facts (Fix node) = case node of
+    C.VarExpr (C.L _ _ name) -> Set.member name facts
+    C.LiteralExpr C.String _ -> True
+    C.UnaryExpr C.UopAddress _ -> True
+    C.ParenExpr e -> isGuaranteedNonnull facts e
+    C.CastExpr ty e -> isNonnullType ty || isGuaranteedNonnull facts e
+    C.FunctionCall (Fix (C.VarExpr (C.L _ _ "malloc"))) _ -> True
+    C.FunctionCall (Fix (C.VarExpr (C.L _ _ "realloc"))) _ -> True
+    C.LiteralExpr C.ConstId (C.L _ _ "nullptr") -> False
+    C.LiteralExpr C.Int (C.L _ _ "0") -> False
+    _ -> False
+
+-- | Extract variable names from a condition that, if true, implies the variables are non-null.
+extractVarsFromNonnullCond :: C.Node (C.Lexeme Text) -> Set Text
+extractVarsFromNonnullCond (Fix node) = case node of
+    C.VarExpr (C.L _ _ name) -> Set.singleton name
+    C.ParenExpr e -> extractVarsFromNonnullCond e
+    C.BinaryExpr lhs C.BopAnd rhs ->
+        extractVarsFromNonnullCond lhs <> extractVarsFromNonnullCond rhs
+    C.BinaryExpr lhs C.BopNe rhs ->
+        case (unFix lhs, unFix rhs) of
+            (C.VarExpr (C.L _ _ v), C.LiteralExpr C.ConstId (C.L _ _ "nullptr")) -> Set.singleton v
+            (C.LiteralExpr C.ConstId (C.L _ _ "nullptr"), C.VarExpr (C.L _ _ v)) -> Set.singleton v
+            (C.VarExpr (C.L _ _ v), C.LiteralExpr C.Int (C.L _ _ "0"))           -> Set.singleton v
+            (C.LiteralExpr C.Int (C.L _ _ "0"), C.VarExpr (C.L _ _ v))           -> Set.singleton v
+            _ -> Set.empty
+    _ -> Set.empty
+
+-- | Extract variable names from a condition that, if false, implies the variables are non-null.
+extractVarsFromNullCond :: C.Node (C.Lexeme Text) -> Set Text
+extractVarsFromNullCond (Fix node) = case node of
+    C.UnaryExpr C.UopNot e -> extractVarsFromNonnullCond e
+    C.ParenExpr e -> extractVarsFromNullCond e
+    C.BinaryExpr lhs C.BopOr rhs ->
+        extractVarsFromNullCond lhs <> extractVarsFromNullCond rhs
+    C.BinaryExpr lhs C.BopEq rhs ->
+        case (unFix lhs, unFix rhs) of
+            (C.VarExpr (C.L _ _ v), C.LiteralExpr C.ConstId (C.L _ _ "nullptr")) -> Set.singleton v
+            (C.LiteralExpr C.ConstId (C.L _ _ "nullptr"), C.VarExpr (C.L _ _ v)) -> Set.singleton v
+            (C.VarExpr (C.L _ _ v), C.LiteralExpr C.Int (C.L _ _ "0"))           -> Set.singleton v
+            (C.LiteralExpr C.Int (C.L _ _ "0"), C.VarExpr (C.L _ _ v))           -> Set.singleton v
+            _ -> Set.empty
+    _ -> Set.empty
diff --git a/src/Language/Cimple/Analysis/OrderedSolver.hs b/src/Language/Cimple/Analysis/OrderedSolver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/OrderedSolver.hs
@@ -0,0 +1,500 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+{-# LANGUAGE RecordWildCards   #-}
+{-# LANGUAGE TupleSections     #-}
+{-# OPTIONS_GHC -Wno-unused-top-binds #-}
+module Language.Cimple.Analysis.OrderedSolver
+    ( OrderedSolverResult (..)
+    , runOrderedSolver
+    ) where
+
+import           Control.Applicative                             ((<|>))
+import           Control.Monad                                   (foldM, forM_,
+                                                                  void, when,
+                                                                  zipWithM_,
+                                                                  (<=<))
+import           Control.Monad.State.Strict                      (State, StateT,
+                                                                  evalState,
+                                                                  execState,
+                                                                  lift)
+import qualified Control.Monad.State.Strict                      as State
+import           Data.Aeson                                      (ToJSON)
+import           Data.Bifunctor                                  (Bifunctor (..))
+import           Data.Fix                                        (Fix (..),
+                                                                  foldFix,
+                                                                  unFix)
+import           Data.List                                       (find, foldl',
+                                                                  nub)
+import           Data.Map.Strict                                 (Map)
+import qualified Data.Map.Strict                                 as Map
+import           Data.Maybe                                      (fromMaybe,
+                                                                  mapMaybe)
+import           Data.Set                                        (Set)
+import qualified Data.Set                                        as Set
+import           Data.Text                                       (Text)
+import qualified Data.Text                                       as T
+import qualified Data.Tree                                       as Tree
+import qualified Debug.Trace                                     as Debug
+import           GHC.Generics                                    (Generic)
+import           Language.Cimple                                 (Lexeme (..))
+import qualified Language.Cimple                                 as C
+import           Language.Cimple.Analysis.CallGraphAnalysis      (SccType (..))
+import           Language.Cimple.Analysis.ConstraintGeneration   (Constraint (..),
+                                                                  ConstraintGenResult (..))
+import           Language.Cimple.Analysis.Errors                 (Context (..),
+                                                                  ErrorInfo (..),
+                                                                  MismatchReason (..),
+                                                                  Provenance (..),
+                                                                  TypeError (..))
+import qualified Language.Cimple.Analysis.Pretty                 as P
+import           Language.Cimple.Analysis.TypeSystem             (pattern Array, pattern BuiltinType,
+                                                                  pattern Const,
+                                                                  FullTemplate,
+                                                                  pattern FullTemplate,
+                                                                  FullTemplateF (..),
+                                                                  pattern Function,
+                                                                  pattern Nonnull,
+                                                                  pattern Nullable,
+                                                                  pattern Owner,
+                                                                  Phase (..),
+                                                                  pattern Pointer,
+                                                                  pattern Singleton,
+                                                                  pattern Sized,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TemplateId (..),
+                                                                  TypeDescr (..),
+                                                                  TypeInfo,
+                                                                  TypeInfoF (..),
+                                                                  TypeRef (..),
+                                                                  pattern TypeRef,
+                                                                  TypeSystem,
+                                                                  pattern Var,
+                                                                  pattern VarArg,
+                                                                  isPointerLike,
+                                                                  isVarArg,
+                                                                  isVoid,
+                                                                  stripAllWrappers,
+                                                                  templateIdBaseName,
+                                                                  templateIdToText,
+                                                                  unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem             as TS
+import qualified Language.Cimple.Analysis.TypeSystem.GraphSolver as GS
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph   as TG
+import qualified Language.Cimple.Analysis.TypeSystem.Unification as U
+
+data OrderedSolverResult = OrderedSolverResult
+    { osrErrors       :: [ErrorInfo 'Local]
+    , osrInferredSigs :: Map Text (TypeInfo 'Local)
+    } deriving (Show, Generic)
+
+instance ToJSON OrderedSolverResult
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+data SolverState = SolverState
+    { ssBindings     :: Map (FullTemplate 'Local) (TypeInfo 'Local, Provenance 'Local)
+    , ssErrors       :: [ErrorInfo 'Local]
+    , ssTypeSystem   :: TypeSystem
+    , ssInferred     :: Map Text (TypeInfo 'Local)
+    , ssFuncPhases   :: Map Text Integer
+    , ssActivePhases :: Set Integer
+    , ssNextId       :: Int
+    , ssFinalPass    :: Bool
+    }
+
+type Solver = State SolverState
+
+runOrderedSolver :: TypeSystem -> [SccType] -> ConstraintGenResult -> OrderedSolverResult
+runOrderedSolver ts sccs cgr =
+    let initialState = SolverState Map.empty [] ts Map.empty (cgrFuncPhases cgr) Set.empty 0 True
+        finalState = execState (mapM_ (solveScc (cgrConstraints cgr)) sccs) initialState
+    in OrderedSolverResult (ssErrors finalState) (ssInferred finalState)
+
+solveScc :: Map Text [Constraint 'Local] -> SccType -> Solver ()
+solveScc constrMap scc = do
+    dtraceM $ "Solving SCC: " ++ show scc
+    phases <- State.gets ssFuncPhases
+    let activePhases = case scc of
+            Acyclic func -> maybe Set.empty Set.singleton (Map.lookup func phases)
+            Cyclic funcs -> Set.fromList $ mapMaybe (`Map.lookup` phases) funcs
+    State.modify $ \s -> s { ssActivePhases = activePhases }
+    case scc of
+        Acyclic func -> do
+            State.modify $ \s -> s { ssFinalPass = True }
+            let constrs = Map.findWithDefault [] func constrMap
+            dtraceM $ "Solving Acyclic SCC " ++ show func ++ " with " ++ show (length constrs) ++ " constraints: " ++ show constrs
+            mapM_ solveConstraint constrs
+            captureSignature func
+        Cyclic funcs -> do
+            State.modify $ \s -> s { ssFinalPass = False }
+            let constrs = concatMap (\f -> Map.findWithDefault [] f constrMap) funcs
+            -- Structural Pass 1: Build initial structural bindings
+            mapM_ solveConstraint constrs
+            resolveBindings
+            -- Structural Pass 2: Resolve MemberAccess/Callable using Pass 1 info
+            mapM_ solveConstraint constrs
+            resolveBindings
+            -- Pass 3: Final propagation and settling
+            State.modify $ \s -> s { ssFinalPass = True }
+            mapM_ solveConstraint constrs
+            resolveBindings
+            mapM_ captureSignature funcs
+
+-- | Resolves all current bindings co-inductively to their fixed points.
+-- This replaces manual fixpoint loops with a structural recursion scheme (Anamorphism).
+resolveBindings :: Solver ()
+resolveBindings = do
+    bindings <- State.gets ssBindings
+    let graph = Map.map (\(ty, _) -> Set.singleton (TG.fromTypeInfo ty)) bindings
+        resolvedMap = GS.solveAll graph (Map.keys bindings)
+    State.modify $ \s -> s { ssBindings = Map.mapWithKey (\k (ty, prov) -> (maybe ty TG.toTypeInfo (Map.lookup k resolvedMap), prov)) (ssBindings s) }
+
+captureSignature :: Text -> Solver ()
+captureSignature func = do
+    ts <- State.gets ssTypeSystem
+    case TS.lookupType func ts of
+        Just descr -> case descr of
+            FuncDescr l _ ret ps -> do
+                -- Apply bindings to the entire signature at once to ensure consistency
+                phId <- fromMaybe 0 . Map.lookup func <$> State.gets ssFuncPhases
+                sig <- applyBindingsDeep (Function (TS.toLocal phId (Just func) ret) (map (TS.toLocal phId (Just func)) ps))
+                case sig of
+                    Function ret' ps' -> do
+                        dtraceM $ "captureSignature: before norm: ret'=" ++ show ret' ++ " ps'=" ++ show ps'
+                        let (tys', templates) = TS.normalizeDescr (map convertBack (ret':ps'))
+                        dtraceM $ "captureSignature: after norm: tys'=" ++ show tys' ++ " templates=" ++ show templates
+                        let (ret'', ps'') = case tys' of (r:p) -> (r, p); _ -> (ret, ps)
+                        let descr' = FuncDescr l templates ret'' ps''
+                        let sig'' = Function (TS.toLocal 0 Nothing ret'') (map (TS.toLocal 0 Nothing) ps'')
+                        dtraceM $ "Captured Signature for " ++ show func ++ ": " ++ show sig''
+                        State.modify $ \s -> s { ssInferred = Map.insert func sig'' (ssInferred s)
+                                               , ssTypeSystem = Map.insert func descr' (ssTypeSystem s)
+                                               }
+                    _ -> return ()
+            _ -> return ()
+        _ -> return ()
+  where
+    convertBack :: TypeInfo 'Local -> TypeInfo 'Global
+    convertBack = foldFix alg
+
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Global) -> TypeInfo 'Global
+    alg f = case f of
+        TemplateF (FullTemplate t i) ->
+            case t of
+                TIdInst _ tid'    -> Template tid' i
+                TIdPoly _ idx h _ -> Template (TIdParam idx h) i
+                TIdSolver idx h   -> Template (TIdParam idx h) i
+                TIdAnonymous h    -> Template (TIdParam 0 h) i
+                TIdRec idx        -> Template (TIdRec idx) i
+        _ -> Fix (bimap convertId id f)
+
+    convertId :: TemplateId 'Local -> TemplateId 'Global
+    convertId (TIdInst _ tid')  = tid'
+    convertId (TIdPoly _ i h _) = TIdParam i h
+    convertId (TIdSolver i h)   = TIdParam i h
+    convertId (TIdAnonymous h)  = TIdParam 0 h
+    convertId (TIdRec i)        = TIdRec i
+solveConstraint :: Constraint 'Local -> Solver ()
+solveConstraint c = do
+    dtraceM $ "solveConstraint: " ++ show c
+    st <- State.get
+    let action = case c of
+            Equality t1 t2 loc ctx reason -> void $ U.unify t1 t2 reason loc ctx
+            Subtype actual expected loc ctx reason -> void $ U.subtype actual expected reason loc ctx
+            _ -> return ()
+
+    let initialState = U.UnifyState (ssBindings st) [] (ssTypeSystem st) Set.empty (ssNextId st) (ssFinalPass st)
+    let finalUnifyState = execState action initialState
+
+    when (not $ null $ U.usErrors finalUnifyState) $
+        dtraceM $ "solveConstraint result errors: " ++ show (U.usErrors finalUnifyState)
+
+    State.modify $ \s -> s
+        { ssBindings = U.usBindings finalUnifyState
+        , ssErrors = if ssFinalPass st then ssErrors s ++ U.usErrors finalUnifyState else ssErrors s
+        , ssNextId = U.usNextId finalUnifyState
+        }
+
+    case c of
+        Callable ft atys rt loc ctx csId shouldRefresh -> do
+            dtraceM $ "solve Callable: " ++ show ft ++ " args=" ++ show atys
+            solveCallable ft atys rt GeneralMismatch loc ctx csId shouldRefresh
+        MemberAccess t field mt loc ctx reason -> solveMemberAccess t field mt reason loc ctx
+        CoordinatedPair trigger actual expected loc ctx mCsId -> solveCoordinatedPair trigger actual expected loc ctx mCsId
+        _ -> return ()
+
+-- Solvers delegate to Unification engine
+
+-- Core logic adapted from old Solver.hs, will implement piece by piece for soundness
+
+solveCoordinatedPair :: TypeInfo 'Local -> TypeInfo 'Local -> TypeInfo 'Local -> Maybe (Lexeme Text) -> [Context 'Local] -> Maybe Integer -> Solver ()
+solveCoordinatedPair trigger actual expected loc ctx mCsId = do
+    st <- State.get
+    let initialState = U.UnifyState (ssBindings st) [] (ssTypeSystem st) Set.empty (ssNextId st) (ssFinalPass st)
+    let tr = evalState (U.resolveType =<< U.applyBindings trigger) initialState
+    dtraceM $ "solve CoordinatedPair: trigger=" ++ show tr
+    let isNull = \case
+            BuiltinType NullPtrTy -> True
+            _ -> False
+    case tr of
+        _ | isNull tr -> return ()
+        _             -> do
+            expected' <- refreshTemplates mCsId expected
+            dtraceM $ "solve CoordinatedPair unify: actual=" ++ show actual ++ " expected'=" ++ show expected'
+            let finalUnifyState = execState (void $ U.unify actual expected' GeneralMismatch loc ctx) initialState
+            State.modify $ \s -> s
+                { ssBindings = U.usBindings finalUnifyState
+                , ssErrors = ssErrors s ++ U.usErrors finalUnifyState
+                , ssNextId = U.usNextId finalUnifyState
+                }
+
+
+bind :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver ()
+bind tid index ty reason ml ctx = do
+    rep <- applyBindingsDeep (Template tid index)
+    case rep of
+        Template tid' index' -> do
+            bindings <- State.gets ssBindings
+            let k = FullTemplate tid' index'
+            case Map.lookup k bindings of
+                Just (existing, _) -> solveConstraint (Equality existing ty ml ctx reason)
+                Nothing ->
+                    case ty of
+                        Template tid'' i'' | tid'' == tid' && i'' == index' -> return ()
+                        _ | occurs tid' index' ty -> reportError ml ctx (InfiniteType (T.pack $ show tid') ty)
+                        _ -> do
+                            let prov = FromContext (ErrorInfo ml ctx (TypeMismatch (Template tid' index') ty reason Nothing) [])
+                            dtraceM $ "BIND: " ++ show (Template tid' index') ++ " -> " ++ show ty
+                            State.modify $ \s -> s { ssBindings = Map.insert k (ty, prov) (ssBindings s) }
+        _ -> solveConstraint (Equality rep ty ml ctx reason)
+
+occurs :: TemplateId p -> Maybe (TypeInfo p) -> TypeInfo p -> Bool
+occurs tid index ty = snd $ foldFix alg ty
+  where
+    alg f = (Fix (fmap fst f), (Fix (fmap fst f) == Template tid index) || any snd f)
+
+applyBindings :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+applyBindings ty = applyBindingsWith Set.empty ty
+
+applyBindingsWith :: Set (FullTemplate 'Local) -> TypeInfo 'Local -> Solver (TypeInfo 'Local)
+applyBindingsWith seen ty = case unFix ty of
+    TemplateF (FullTemplate tid i) ->
+        let k = FullTemplate tid i in
+        if Set.member k seen
+        then return ty
+        else do
+            bindings <- State.gets ssBindings
+            case Map.lookup k bindings of
+                Just (target, _) -> applyBindingsWith (Set.insert k seen) target
+                Nothing          -> return ty
+    _ -> return ty
+
+
+applyBindingsDeep :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+applyBindingsDeep ty = do
+    bindings <- State.gets ssBindings
+    let graph = Map.map (\(ty', _) -> Set.singleton (TG.fromTypeInfo ty')) bindings
+        initialKeys = TS.collectUniqueTemplateVars [ty]
+        resolvedMap = GS.solveAll graph initialKeys
+    return $ foldFix (alg resolvedMap) ty
+  where
+    alg m (TemplateF (FullTemplate tid i)) =
+        maybe (Template tid i) TG.toTypeInfo (Map.lookup (FullTemplate tid i) m)
+    alg _ f = Fix f
+
+
+resolveType :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+resolveType ty = do
+    st <- State.get
+    let initialState = U.UnifyState (ssBindings st) [] (ssTypeSystem st) Set.empty (ssNextId st) (ssFinalPass st)
+    return $ evalState (U.resolveType ty) initialState
+
+reportError :: Maybe (Lexeme Text) -> [Context 'Local] -> TypeError 'Local -> Solver ()
+reportError ml ctx err = do
+    isFinal <- State.gets ssFinalPass
+    when isFinal $ do
+        bindings <- State.gets ssBindings
+        let allTypes = case err of
+                TypeMismatch expected actual _ _ -> expected : actual : concatMap getContextTypes ctx
+                _ -> concatMap getContextTypes ctx
+        let expls = concatMap (P.explainType bindings) allTypes
+        State.modify $ \s -> s { ssErrors = ssErrors s ++ [ErrorInfo ml ctx err (P.dedupDocs expls)] }
+  where
+    getContextTypes = \case
+        InUnification e a _ -> [e, a]
+        _ -> []
+
+solveCallable :: TypeInfo 'Local -> [TypeInfo 'Local] -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Maybe Integer -> Bool -> Solver ()
+solveCallable ft atys rt reason ml ctx mCsId shouldRefresh = do
+    ft' <- case ft of
+        TypeRef TS.FuncRef (L _ _ tid) _ -> do
+            let name = templateIdBaseName tid
+            inferred <- State.gets ssInferred
+            case Map.lookup name inferred of
+                Just sig -> applyBindings sig
+                Nothing  -> resolveType =<< applyBindings ft
+        _ -> resolveType =<< applyBindings ft
+
+    ft'' <- if shouldRefresh
+               then refreshTemplates mCsId ft'
+               else return ft'
+
+    when shouldRefresh $
+        case ft of
+            TypeRef TS.FuncRef (L _ _ tid) args -> do
+                ts <- State.gets ssTypeSystem
+                case TS.lookupType (TS.templateIdBaseName tid) ts of
+                    Just descr ->
+                        let tps = TS.getDescrTemplates descr
+                        in when (length tps == length args) $ do
+                            tps' <- mapM (refreshTemplates mCsId . TS.toLocal 0 Nothing . (\t -> Template t Nothing)) tps
+                            zipWithM_ (\a t' -> solveConstraint (Equality a t' ml ctx reason)) args tps'
+                    _ -> return ()
+            _ -> return ()
+
+    -- Also de-voidify the resolved type recursively
+    rt'' <- deVoidify ft''
+    dtraceM $ "solve Callable ft'=" ++ show ft' ++ " ft''=" ++ show ft'' ++ " rt''=" ++ show rt''
+    case stripAllWrappers rt'' of
+        Function ret params -> do
+            let isVariadic = any isVarArg params
+                isSpecial p' = isVarArg p' || TS.isVoid p'
+                expectedParams = filter (not . isSpecial) params
+                nExpected = length expectedParams
+                nActual = length atys
+            st <- State.get
+            let initialState = U.UnifyState (ssBindings st) [] (ssTypeSystem st) Set.empty (ssNextId st) (ssFinalPass st)
+            let action = do
+                    void $ U.unify ret rt reason ml ctx
+                    if isVariadic then
+                        if nActual < nExpected then
+                            U.reportError ml ctx (TooFewArgs nExpected nActual)
+                        else
+                            mapM_ (uncurry (\a p -> void $ U.subtype a p reason ml ctx)) (zip atys expectedParams)
+                    else
+                        if nActual < nExpected then
+                            U.reportError ml ctx (TooFewArgs nExpected nActual)
+                        else if nActual > nExpected then
+                            U.reportError ml ctx (TooManyArgs nExpected nActual)
+                        else
+                            mapM_ (uncurry (\a p -> void $ U.subtype a p reason ml ctx)) (zip atys expectedParams)
+            let finalUnifyState = execState action initialState
+            dtraceM $ "solve Callable result errors: " ++ show (U.usErrors finalUnifyState)
+            State.modify $ \s -> s
+                { ssBindings = U.usBindings finalUnifyState
+                , ssErrors = ssErrors s ++ U.usErrors finalUnifyState
+                , ssNextId = U.usNextId finalUnifyState
+                }
+        Template tid i -> do
+            -- Proactively bind the template to a function type based on how it's being called.
+            -- Deterministic template names based on csId ensure monotonicity.
+            bindings <- State.gets ssBindings
+            case mCsId of
+                Just csId -> do
+                    let retTid = TIdInst csId (TIdName "ret")
+                    case Map.lookup (FullTemplate tid i) bindings of
+                        Just (Fix (TS.FunctionF _ _), _) -> return ()
+                        _ -> bind tid i (Function (Template retTid Nothing) atys) reason ml ctx
+                Nothing -> return () -- Cannot proactively bind without stable ID
+        _ -> return ()
+
+deVoidify :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+deVoidify = snd . foldFix alg
+  where
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, Solver (TypeInfo 'Local))
+    alg f = (Fix (fmap fst f), case f of
+        PointerF (orig, _) | TS.isVoid orig -> do
+            tp <- nextSolverTemplate Nothing
+            let applyWrappers (BuiltinType VoidTy) x = x
+                applyWrappers (Const t') x = Const (applyWrappers t' x)
+                applyWrappers (Owner t') x = Owner (applyWrappers t' x)
+                applyWrappers (Nonnull t') x = Nonnull (applyWrappers t' x)
+                applyWrappers (Nullable t') x = Nullable (applyWrappers t' x)
+                applyWrappers (Var l t') x = Var l (applyWrappers t' x)
+                applyWrappers (Sized t' l) x = Sized (applyWrappers t' x) l
+                applyWrappers _ x = x
+            return $ Pointer (applyWrappers orig tp)
+        _ -> Fix <$> traverse snd f)
+
+
+refreshTemplates :: Maybe Integer -> TypeInfo 'Local -> Solver (TypeInfo 'Local)
+refreshTemplates mCsId ty = State.evalStateT (snd (foldFix alg ty)) Map.empty
+  where
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, StateT (Map (FullTemplate 'Local) (TypeInfo 'Local)) Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, StateT (Map (FullTemplate 'Local) (TypeInfo 'Local)) Solver (TypeInfo 'Local))
+    alg f = (Fix (fmap fst f), do
+        case f of
+            TemplateF (FullTemplate tid i) -> do
+                m <- State.get
+                let k = FullTemplate tid (fst <$> i)
+                case Map.lookup k m of
+                    Just t' -> return t'
+                    Nothing -> do
+                        i' <- maybe (return Nothing) (fmap Just . snd) i
+                        case tid of
+                            TIdPoly ph _ _ _ -> do
+                                active <- lift $ State.gets ssActivePhases
+                                if Set.member ph active
+                                    then return $ Template tid i'
+                                    else do
+                                        t' <- lift $ case mCsId of
+                                            Just csId -> return $ Template (TIdInst csId (convertId tid)) i'
+                                            Nothing   -> nextSolverTemplate (Just $ templateIdToText tid)
+                                        State.modify $ Map.insert k t'
+                                        return t'
+                            TIdSolver _ _ -> return $ Template tid i'
+                            _ -> do
+                                t' <- lift $ case mCsId of
+                                    Just csId -> return $ Template (TIdInst csId (convertId tid)) i'
+                                    Nothing   -> nextSolverTemplate (Just $ templateIdBaseName tid)
+                                State.modify $ Map.insert k t'
+                                return t'
+            _ -> Fix <$> traverse snd f)
+
+    convertId :: TemplateId 'Local -> TemplateId 'Global
+    convertId (TIdInst _ tid')  = tid'
+    convertId (TIdPoly _ i h _) = TIdParam i h
+    convertId (TIdSolver _ h)   = TIdParam 0 h
+    convertId (TIdAnonymous h)  = TIdParam 0 h
+    convertId (TIdRec i)        = TIdRec i
+
+nextSolverTemplate :: Maybe Text -> Solver (TypeInfo 'Local)
+nextSolverTemplate mHint = do
+    i <- State.gets ssNextId
+    State.modify $ \s -> s { ssNextId = i + 1 }
+    return $ Template (TIdSolver i mHint) Nothing
+
+solveMemberAccess :: TypeInfo 'Local -> Text -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver ()
+solveMemberAccess t field mt reason _ml _ctx = do
+    rt <- resolveType =<< applyBindings t
+    ts <- State.gets ssTypeSystem
+    case stripAllWrappers rt of
+        TypeRef _ (L _ _ tid) args ->
+            let name = TS.templateIdBaseName tid in
+            case TS.lookupType name ts of
+                Just descr -> do
+                    let descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) args)) descr
+                    case TS.lookupMemberType field descr' of
+                        Just mty -> do
+                            st <- State.get
+                            let initialState = U.UnifyState (ssBindings st) [] (ssTypeSystem st) Set.empty (ssNextId st) (ssFinalPass st)
+                            let finalUnifyState = execState (U.unify mty mt reason Nothing []) initialState
+                            when (not $ null $ U.usErrors finalUnifyState) $
+                                dtraceM $ "solveMemberAccess result errors: " ++ show (U.usErrors finalUnifyState)
+                            State.modify $ \s -> s
+                                { ssBindings = U.usBindings finalUnifyState
+                                , ssErrors = ssErrors s ++ U.usErrors finalUnifyState
+                                , ssNextId = U.usNextId finalUnifyState
+                                }
+                        Nothing -> return ()
+                _ -> return ()
+        _ -> return ()
diff --git a/src/Language/Cimple/Analysis/Pretty.hs b/src/Language/Cimple/Analysis/Pretty.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Pretty.hs
@@ -0,0 +1,343 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE KindSignatures    #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.Pretty
+    ( ppErrorInfo
+    , ppTypeError
+    , ppContext
+    , ppReason
+    , ppProvenance
+    , explainType
+    , ppType
+    , ppStdType
+    , ppTypeDescr
+    , showType
+    , renderPlain
+    , dedupDocs
+    ) where
+
+import           Control.Monad.State.Strict          (State, evalState)
+import qualified Control.Monad.State.Strict          as State
+import           Data.Fix                            (Fix (..), foldFix)
+import qualified Data.Graph                          as Graph
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Maybe                          (mapMaybe)
+import           Data.Set                            (Set)
+import qualified Data.Set                            as Set
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import qualified Data.Text.IO                        as T
+import qualified Data.Tree                           as Tree
+import           Language.Cimple                     (AlexPosn (..),
+                                                      Lexeme (..), sloc)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.Errors
+import           Language.Cimple.Analysis.TypeSystem (pattern Array,
+                                                      pattern BuiltinType,
+                                                      pattern Const,
+                                                      pattern EnumMem,
+                                                      pattern ExternalType,
+                                                      FullTemplate,
+                                                      pattern FullTemplate,
+                                                      FullTemplateF (..),
+                                                      pattern Function,
+                                                      pattern IntLit,
+                                                      pattern NameLit,
+                                                      pattern Nonnull,
+                                                      pattern Nullable,
+                                                      pattern Owner,
+                                                      pattern Pointer,
+                                                      pattern Singleton,
+                                                      pattern Sized,
+                                                      StdType (..),
+                                                      pattern Template,
+                                                      TemplateId (..),
+                                                      TypeDescr (..), TypeInfo,
+                                                      TypeInfoF (..),
+                                                      TypeRef (..),
+                                                      pattern TypeRef,
+                                                      pattern Unsupported,
+                                                      pattern Var,
+                                                      pattern VarArg)
+import qualified Language.Cimple.Analysis.TypeSystem as TypeSystem
+import           Prettyprinter
+import           Prettyprinter.Render.Terminal       (AnsiStyle, Color (..),
+                                                      bold, color, renderStrict)
+
+ppLexeme :: Pretty a => C.Lexeme a -> Doc AnsiStyle
+ppLexeme = pretty . C.lexemeText
+
+keywordStyle :: Doc AnsiStyle -> Doc AnsiStyle
+keywordStyle = annotate (color Magenta)
+
+typeStyle :: Doc AnsiStyle -> Doc AnsiStyle
+typeStyle = annotate (color Cyan)
+
+varStyle :: Doc AnsiStyle -> Doc AnsiStyle
+varStyle = annotate (color Yellow)
+
+literalStyle :: Doc AnsiStyle -> Doc AnsiStyle
+literalStyle = annotate (color Blue)
+
+errorStyle :: Doc AnsiStyle -> Doc AnsiStyle
+errorStyle = annotate (color Red <> bold)
+
+locationStyle :: Doc AnsiStyle -> Doc AnsiStyle
+locationStyle = annotate (color White <> bold)
+
+ppErrorInfo :: FilePath -> ErrorInfo p -> Maybe Text -> Doc AnsiStyle
+ppErrorInfo path ei mSnippet =
+    let locStr = case errLoc ei of
+                    Just l  -> locationStyle (pretty (sloc path l) <> ":") <> " "
+                    Nothing -> locationStyle (pretty path <> ":") <> " "
+        interestingCtxs = dedupUnifications $ filterInteresting (errContext ei)
+        ctxDocs = map ppContext interestingCtxs
+        ctxPart = if null ctxDocs
+                 then mempty
+                 else line <> indent 2 (vsep ctxDocs)
+        errPart = errorStyle (ppTypeError (errType ei))
+        explPart = if null (errExplanation ei)
+                  then mempty
+                  else line <> indent 2 ("where" <+> align (vsep (errExplanation ei)))
+        snippetPart = case (mSnippet, errLoc ei) of
+            (Just snippet, Just (L (AlexPn _ _ col) _ _)) ->
+                let caret = replicate (col - 1) ' ' ++ "^"
+                in line <> line <> indent 2 (pretty snippet <> line <> errorStyle (pretty caret))
+            _ -> mempty
+    in locStr <> errPart <> ctxPart <> explPart <> snippetPart
+
+dedupUnifications :: [Context p] -> [Context p]
+dedupUnifications = \case
+    [] -> []
+    (c1@(InUnification e1 a1 _) : c2@(InUnification e2 a2 _) : rest)
+        | e1 == e2 && a1 == a2 -> dedupUnifications (c1:rest)
+        | otherwise -> c1 : dedupUnifications (c2:rest)
+    (c:cs) -> c : dedupUnifications cs
+
+filterInteresting :: [Context p] -> [Context p]
+filterInteresting [] = []
+filterInteresting (c:cs) =
+    let cs' = filterInteresting cs
+    in if isBoring c && any (not . isBoring) cs'
+       then cs'
+       else c : cs'
+
+isBoring :: Context p -> Bool
+isBoring = \case
+    InExpr _ -> True
+    InStmt _ -> True
+    InUnification {} -> False
+    _        -> False
+
+ppContext :: Context p -> Doc AnsiStyle
+ppContext = \case
+    InFile _ -> mempty
+    InFunction n -> "in function" <+> squotes (varStyle (pretty n))
+    InMacro n -> "in macro" <+> squotes (varStyle (pretty n))
+    InMemberAccess n -> "in member access" <+> squotes (varStyle (pretty n))
+    InExpr (Fix node) -> "in expression:" <+> ppNodeSnippet node
+    InStmt (Fix (C.Return _)) -> "in return statement"
+    InStmt (Fix (C.IfStmt _ _ _)) -> "in if statement"
+    InStmt (Fix (C.WhileStmt _ _)) -> "in while loop"
+    InStmt (Fix (C.ForStmt _ _ _ _)) -> "in for loop"
+    InStmt (Fix (C.VarDeclStmt _ _)) -> "in variable declaration"
+    InStmt (Fix node) -> "in statement:" <+> ppNodeSnippet node
+    InInitializer _ -> "in initializer"
+    InUnification e a reason -> "while unifying" <+> ppType e <+> "and" <+> ppType a <+> parens (ppReason reason)
+
+ppReason :: MismatchReason -> Doc AnsiStyle
+ppReason = \case
+    GeneralMismatch -> "general mismatch"
+    ReturnMismatch -> "return type"
+    ArgumentMismatch i -> "argument" <+> pretty i
+    AssignmentMismatch -> "assignment"
+    InitializerMismatch -> "initializer"
+
+ppNodeSnippet :: C.NodeF (Lexeme Text) a -> Doc AnsiStyle
+ppNodeSnippet = \case
+    C.VarExpr (L _ _ n) -> varStyle (pretty n)
+    C.LiteralExpr _ (L _ _ n) -> literalStyle (pretty n)
+    C.BinaryExpr _ op _ -> "binary" <+> pretty (show op)
+    C.UnaryExpr op _ -> "unary" <+> pretty (show op)
+    C.FunctionCall _ _ -> "function call"
+    C.AssignExpr _ _ _ -> "assignment"
+    C.Return _ -> "return"
+    C.IfStmt {} -> "if"
+    C.WhileStmt {} -> "while"
+    C.ForStmt {} -> "for"
+    C.MemberAccess _ (L _ _ n) -> "." <> varStyle (pretty n)
+    C.PointerAccess _ (L _ _ n) -> "->" <> varStyle (pretty n)
+    _ -> "..."
+
+ppTypeError :: TypeError p -> Doc AnsiStyle
+ppTypeError = \case
+    TypeMismatch exp' act reason mDetail ->
+        let reasonDoc = case reason of
+                            GeneralMismatch -> "type mismatch"
+                            ReturnMismatch -> "return type mismatch"
+                            ArgumentMismatch i -> "argument" <+> literalStyle (pretty i) <+> "type mismatch"
+                            AssignmentMismatch -> "assignment type mismatch"
+                            InitializerMismatch -> "initializer type mismatch"
+            baseErr = reasonDoc <> ":" <+> "expected" <+> ppType exp' <> "," <+> "got" <+> ppType act
+        in case mDetail of
+            Just detail -> baseErr <> line <> indent 2 (ppMismatchDetail detail)
+            Nothing -> baseErr
+    UndefinedVariable n -> "undefined variable:" <+> varStyle (pretty n)
+    UndefinedType n -> "undefined type:" <+> typeStyle (pretty n)
+    MemberNotFound f ty -> "member" <+> varStyle (pretty f) <+> "not found in type" <+> ppType ty
+    NotAStruct ty -> "not a struct or union:" <+> ppType ty
+    TooManyArgs exp' act -> "too many arguments in function call: expected" <+> literalStyle (pretty exp') <> "," <+> "got" <+> literalStyle (pretty act)
+    TooFewArgs exp' act -> "too few arguments in function call: expected" <+> literalStyle (pretty exp') <> "," <+> "got" <+> literalStyle (pretty act)
+    NotALValue -> "assignment to non-lvalue"
+    CallingNonFunction n ty -> "calling non-function type:" <+> varStyle (pretty n) <+> parens ("type:" <+> ppType ty)
+    SwitchConditionNotIntegral ty -> "switch condition must be an integral type or enum (got" <+> ppType ty <> ")"
+    DereferencingNonPointer ty -> "dereferencing non-pointer type:" <+> ppType ty
+    ArrayAccessNonArray ty -> "array access on non-array type:" <+> ppType ty
+    MacroArgumentMismatch n exp' act -> "macro" <+> varStyle (pretty n) <+> "expected" <+> literalStyle (pretty exp') <+> "arguments, got" <+> literalStyle (pretty act)
+    MissingReturnValue ty -> "return statement with no value in function returning" <+> ppType ty
+    InfiniteType n ty -> "infinite type detected: template" <+> typeStyle (pretty n) <+> "occurs in" <+> ppType ty
+    CustomError msg -> pretty msg
+
+ppMismatchDetail :: MismatchDetail p -> Doc AnsiStyle
+ppMismatchDetail = \case
+    MismatchDetail e a _ Nothing ->
+        "types" <+> ppType e <+> "and" <+> ppType a <+> "are incompatible"
+    MismatchDetail e a _ (Just (ctx, inner)) ->
+        "while checking" <+> ppMismatchContext ctx <+> "of" <+> ppType e <+> "and" <+> ppType a <> ":" <> line <> indent 2 (ppMismatchDetail inner)
+    MissingQualifier q _ _ ->
+        "actual type is missing" <+> ppQualifier q <+> "qualifier"
+    UnexpectedQualifier q _ _ ->
+        "actual type has unexpected" <+> ppQualifier q <+> "qualifier"
+    BaseMismatch e a ->
+        "expected" <+> ppType e <> "," <+> "but got" <+> ppType a
+    ArityMismatch e a ->
+        "expected" <+> literalStyle (pretty e) <+> "arguments, but got" <+> literalStyle (pretty a)
+
+ppMismatchContext :: MismatchContext -> Doc AnsiStyle
+ppMismatchContext = \case
+    InPointer -> "pointer target"
+    InArray -> "array element"
+    InFunctionReturn -> "return type"
+    InFunctionParam i -> "parameter" <+> literalStyle (pretty i)
+
+ppQualifier :: Qualifier -> Doc AnsiStyle
+ppQualifier = keywordStyle . \case
+    QOwner -> "owner"
+    QNonnull -> "nonnull"
+    QNullable -> "nullable"
+    QConst -> "const"
+
+ppProvenance :: Provenance p -> Doc AnsiStyle
+ppProvenance = \case
+    FromDefinition n (Just (L _ _ _)) -> parens ("definition of" <+> varStyle (pretty n))
+    FromDefinition n Nothing -> parens ("definition of" <+> varStyle (pretty n))
+    FromContext info -> "due to" <+> ppTypeError (errType info)
+    FromInference _ -> parens "inferred from context"
+    Builtin -> parens "builtin"
+
+-- | Trace the origin of a type to provide a "Chain of Logic"
+explainType :: Map (FullTemplate p) (TypeInfo p, Provenance p) -> TypeInfo p -> [Doc AnsiStyle]
+explainType bindings ty =
+    let initialKeys = TypeSystem.collectUniqueTemplateVars [ty]
+        allTargetTemplates = concatMap (TypeSystem.collectUniqueTemplateVars . return . fst) (Map.elems bindings)
+        allKeys = Set.fromList (initialKeys ++ Map.keys bindings ++ allTargetTemplates)
+
+        mkNode key =
+            let (tid, mIdx) = (ftId key, ftIndex key) in
+            case Map.lookup key bindings of
+                Just (target, prov) ->
+                    let doc = "template" <+> typeStyle (ppType (Template tid mIdx)) <+> "was bound to" <+> ppType target <+> ppProvenance prov
+                        deps = TypeSystem.collectUniqueTemplateVars [target]
+                    in (doc, key, deps)
+                Nothing ->
+                    let doc = case mIdx of
+                                Just idx -> "template" <+> pretty (TypeSystem.templateIdToText tid) <+> "indexed by" <+> pretty (showType idx)
+                                Nothing  -> "template" <+> typeStyle (pretty (TypeSystem.templateIdToText tid)) <+> "is unbound"
+                    in (doc, key, [])
+
+        nodes = map mkNode (Set.toList allKeys)
+        (graph, nodeFromVertex, vertexFromKey) = Graph.graphFromEdges nodes
+
+        startVertices = mapMaybe vertexFromKey initialKeys
+        forest = Graph.dfs graph startVertices
+    in concatMap (Tree.flatten . fmap ((\(d, _, _) -> d) . nodeFromVertex)) forest
+
+
+ppStdType :: StdType -> Doc AnsiStyle
+ppStdType = typeStyle . \case
+    VoidTy    -> "void"
+    BoolTy    -> "bool"
+    CharTy    -> "char"
+    U08Ty     -> "uint8_t"
+    S08Ty     -> "int8_t"
+    U16Ty     -> "uint16_t"
+    S16Ty     -> "int16_t"
+    U32Ty     -> "uint32_t"
+    S32Ty     -> "int32_t"
+    U64Ty     -> "uint64_t"
+    S64Ty     -> "int64_t"
+    SizeTy    -> "size_t"
+    F32Ty     -> "float"
+    F64Ty     -> "double"
+    NullPtrTy -> "nullptr_t"
+
+ppType :: TypeInfo p -> Doc AnsiStyle
+ppType = foldFix $ \case
+    TypeRefF ref l args ->
+        let prefix = keywordStyle $ case ref of
+                StructRef -> "struct "
+                UnionRef  -> "union "
+                EnumRef   -> "enum "
+                _         -> ""
+        in prefix <> typeStyle (ppLexeme l) <> if null args then mempty else angles (hsep $ punctuate comma args)
+    PointerF t -> t <> "*"
+    SizedF t l -> t <> brackets (varStyle (ppLexeme l))
+    QualifiedF qs t ->
+        t <+> hsep (map ppQualifier (Set.toList qs))
+    BuiltinTypeF std -> ppStdType std
+    ExternalTypeF l -> typeStyle (ppLexeme l)
+    ArrayF mt dims ->
+        maybe (typeStyle "void") id mt <> hcat (map brackets dims)
+    VarF l t -> t <+> varStyle (ppLexeme l)
+    FunctionF ret params ->
+        ret <> parens (hsep $ punctuate comma params)
+    TemplateF (FullTemplate t i) -> typeStyle (pretty t) <> maybe mempty brackets i
+    SingletonF std v -> ppStdType std <> "=" <> literalStyle (pretty v)
+    VarArgF -> "..."
+    IntLitF l -> literalStyle (ppLexeme l)
+    NameLitF l -> varStyle (ppLexeme l)
+    EnumMemF l -> varStyle (ppLexeme l)
+    UnconstrainedF -> errorStyle "unconstrained"
+    ConflictF -> errorStyle "conflict"
+    ProxyF t -> t
+    UnsupportedF msg -> errorStyle "unsupported" <> parens (pretty msg)
+
+ppTypeDescr :: TypeDescr p -> Doc AnsiStyle
+ppTypeDescr = \case
+    StructDescr l _ mems -> keywordStyle "struct" <+> typeStyle (ppLexeme l) <+> lbrace <> line <> indent 2 (vsep (map ppMember mems)) <> line <> rbrace
+    UnionDescr l _ mems  -> keywordStyle "union" <+> typeStyle (ppLexeme l) <+> lbrace <> line <> indent 2 (vsep (map ppMember mems)) <> line <> rbrace
+    EnumDescr l _        -> keywordStyle "enum" <+> typeStyle (ppLexeme l)
+    IntDescr l std       -> keywordStyle "typedef" <+> ppStdType std <+> typeStyle (ppLexeme l)
+    FuncDescr l _ ret ps -> keywordStyle "typedef" <+> ppType ret <+> typeStyle (ppLexeme l) <> parens (hsep $ punctuate comma $ map ppType ps)
+    AliasDescr l _ t     -> keywordStyle "typedef" <+> ppType t <+> typeStyle (ppLexeme l)
+  where
+    ppMember (l, t) = ppType t <+> varStyle (ppLexeme l) <> semi
+
+showType :: TypeInfo p -> Text
+showType = renderPlain . ppType
+
+renderPlain :: Doc AnsiStyle -> Text
+renderPlain = renderStrict . layoutPretty defaultLayoutOptions . unAnnotate
+
+dedupDocs :: [Doc AnsiStyle] -> [Doc AnsiStyle]
+dedupDocs = go Set.empty
+  where
+    go _ [] = []
+    go seen (d:ds) =
+        let rendered = renderPlain d
+        in if Set.member rendered seen
+           then go seen ds
+           else d : go (Set.insert rendered seen) ds
diff --git a/src/Language/Cimple/Analysis/Refined/Context.hs b/src/Language/Cimple/Analysis/Refined/Context.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Context.hs
@@ -0,0 +1,115 @@
+{-# LANGUAGE DeriveGeneric              #-}
+{-# LANGUAGE GeneralisedNewtypeDeriving #-}
+{-# LANGUAGE StrictData                 #-}
+
+module Language.Cimple.Analysis.Refined.Context
+    ( MappingContext (..)
+    , MappingRefinements (..)
+    , emptyContext
+    , emptyRefinements
+    , pushMapping
+    , getMapping
+    , setRefinement
+    , deleteRefinement
+    , getRefinement
+    , unsafeGetTag
+    , unsafeGetId
+    ) where
+
+import           Data.Bits          (shiftL, shiftR, (.&.), (.|.))
+import           Data.Hashable      (Hashable (..))
+import           Data.IntMap.Strict (IntMap)
+import qualified Data.IntMap.Strict as IntMap
+import           Data.Word          (Word16, Word32, Word64)
+import           GHC.Generics       (Generic)
+
+-- | The Variable Mapping Context (Γ) used for existential bisimulation.
+-- Represented as a 128-bit bitfield.
+--
+-- Word 1: [ 0-7: Count | 8-63: Items 0-13 (4 bits each) ]
+-- Word 2: [ 0-63: Items 14-29 (4 bits each) ]
+data MappingContext = MappingContext {-# UNPACK #-} Word64 {-# UNPACK #-} Word64
+    deriving (Show, Eq, Ord, Generic)
+
+instance Hashable MappingContext where
+    hashWithSalt s (MappingContext w1 w2) = s `hashWithSalt` w1 `hashWithSalt` w2
+
+-- | Persistent refinements for Skolem variables.
+data MappingRefinements = MappingRefinements
+    { mrRefinements :: IntMap Word32
+    , mrHash        :: {-# UNPACK #-} Word64
+    }
+    deriving (Show, Generic)
+
+instance Eq MappingRefinements where
+    (MappingRefinements _ h1) == (MappingRefinements _ h2) = h1 == h2
+
+instance Ord MappingRefinements where
+    compare (MappingRefinements _ h1) (MappingRefinements _ h2) = compare h1 h2
+
+emptyContext :: MappingContext
+emptyContext = MappingContext 0 0
+
+emptyRefinements :: MappingRefinements
+emptyRefinements =
+    let r = MappingRefinements IntMap.empty 0
+    in r { mrHash = fromIntegral (hash (IntMap.toList (mrRefinements r))) }
+
+-- | Pushes a new mapping onto the context (stack-like).
+pushMapping :: Int -> MappingContext -> MappingContext
+pushMapping mapping (MappingContext w1 w2) =
+    let count :: Int
+        count = fromIntegral (w1 .&. 0xFF)
+        newCount = fromIntegral (min 30 (count + 1)) :: Word64
+
+        -- Item at index 13 in w1 (bits 60-63) moves to index 14 in w2 (bits 0-3).
+        item13 = (w1 `shiftR` 60) .&. 0xF
+
+        -- w2 items shift left 4 bits. Bits 0-3 become item13.
+        newW2 = (w2 `shiftL` 4) .|. item13
+
+        -- w1 items 0-12 shift left 4 bits. Bits 8-11 become the new mapping.
+        -- Bits 0-7 are the count.
+        w1Data = (w1 `shiftR` 8) .&. 0x00FFFFFFFFFFFFFF
+        shiftedW1 = (w1Data `shiftL` 4) .&. 0x00FFFFFFFFFFFFFF
+        newW1 = (shiftedW1 `shiftL` 8) .|. ((fromIntegral mapping .&. 0xF) `shiftL` 8) .|. newCount
+    in MappingContext newW1 newW2
+
+-- | Retrieves a mapping by its De Bruijn index.
+getMapping :: Int -> MappingContext -> Maybe Int
+getMapping idx (MappingContext w1 w2) =
+    let count = fromIntegral (w1 .&. 0xFF)
+    in if idx >= count || idx >= 30 then Nothing
+       else if idx < 14
+            then Just $ fromIntegral ((w1 `shiftR` (8 + idx * 4)) .&. 0xF)
+            else Just $ fromIntegral ((w2 `shiftR` ((idx - 14) * 4)) .&. 0xF)
+
+-- | Records a refinement for a variable.
+setRefinement :: Int -> Word32 -> MappingRefinements -> MappingRefinements
+setRefinement key nodeID r =
+    case IntMap.lookup key (mrRefinements r) of
+        Just oldID | oldID == nodeID -> r
+        _ ->
+            let newMap = IntMap.insert key nodeID (mrRefinements r)
+                newHash = fromIntegral (hash (IntMap.toList newMap))
+            in r { mrRefinements = newMap, mrHash = newHash }
+
+-- | Removes a refinement.
+deleteRefinement :: Int -> MappingRefinements -> MappingRefinements
+deleteRefinement key r =
+    let newMap = IntMap.delete key (mrRefinements r)
+        newHash = fromIntegral (hash (IntMap.toList newMap))
+    in r { mrRefinements = newMap, mrHash = newHash }
+
+-- | Retrieves a persistent refinement.
+getRefinement :: Int -> MappingRefinements -> Maybe Word32
+getRefinement key r = IntMap.lookup key (mrRefinements r)
+
+-- | Dummy helper to satisfy existing API (to be removed after refactoring callers).
+unsafeGetTag :: Int -> MappingRefinements -> Word16
+unsafeGetTag _ _ = 0
+
+-- | Internal helper to retrieve an ID without verification.
+-- ONLY for use in tests.
+unsafeGetId :: Int -> MappingRefinements -> Word32
+unsafeGetId idx r = IntMap.findWithDefault 0 idx (mrRefinements r)
diff --git a/src/Language/Cimple/Analysis/Refined/Inference.hs b/src/Language/Cimple/Analysis/Refined/Inference.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference.hs
@@ -0,0 +1,941 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE MonoLocalBinds      #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE Strict              #-}
+{-# LANGUAGE TupleSections       #-}
+
+module Language.Cimple.Analysis.Refined.Inference
+    ( RefinedResult (..)
+    , inferRefined
+    ) where
+
+import           Control.Applicative                                     ((<|>))
+import           Control.Monad                                           (join, zipWithM_)
+import           Control.Monad.State.Strict                              (State,
+                                                                          get,
+                                                                          gets,
+                                                                          modify,
+                                                                          runState)
+import           Data.Fix                                                (Fix (..),
+                                                                          foldFix,
+                                                                          unFix)
+import           Data.Foldable                                           (fold)
+import           Data.Hashable                                           (hash)
+import qualified Data.IntMap.Strict                                      as IntMap
+import           Data.List                                               (find, findIndex,
+                                                                          nub)
+import           Data.Map.Strict                                         (Map)
+import qualified Data.Map.Strict                                         as Map
+import           Data.Maybe                                              (fromMaybe,
+                                                                          mapMaybe)
+import qualified Data.Set                                                as Set
+import           Data.Text                                               (Text)
+
+import qualified Data.Text                                               as T
+import qualified Data.Text.Read                                          as TR
+import           Data.Word                                               (Word32)
+
+import           Language.Cimple                                         (Lexeme (..))
+import qualified Language.Cimple                                         as C
+import           Language.Cimple.Analysis.Refined.Context
+import           Language.Cimple.Analysis.Refined.Inference.Lifter
+import           Language.Cimple.Analysis.Refined.Inference.Substitution
+import           Language.Cimple.Analysis.Refined.Inference.Translator
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Inference.Utils
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.Solver                 (Constraint (..),
+                                                                          solve)
+import           Language.Cimple.Analysis.Refined.State
+
+import           Language.Cimple.Analysis.Refined.Transition
+import           Language.Cimple.Analysis.Refined.Types
+import           Language.Cimple.Hic                                     (lower)
+import           Language.Cimple.Hic.Ast                                 (CleanupAction (..),
+                                                                          HicNode (..),
+                                                                          MatchCase (..),
+                                                                          Node,
+                                                                          NodeF (..),
+                                                                          ReturnIntent (..),
+                                                                          TaggedUnionMember (..))
+import           Language.Cimple.Hic.Program                             (Program (..))
+
+import qualified Language.Cimple.Analysis.TypeSystem                     as TS
+
+-- | Traverses the Hic AST to identify hotspots for refined analysis.
+inferRefined :: TS.TypeSystem -> Program (Lexeme Text) -> RefinedResult
+inferRefined ts prog =
+    let (registry, st) = runState (translateAndCollect ts prog) (emptyTranslatorState ts)
+        hotspots = nub $ concatMap (concatMap collectHotspots) (Map.elems (progAsts prog))
+        (isSolved, finalRefs) = solve registry (tsNodes st) (tsConstraints st) (0, 1, 2, 0)
+        solverErrs = if isSolved then
+                        dtrace ("Final refinements: " ++ show (mrRefinements finalRefs)) []
+                     else ["Refined type mismatch detected in fixpoint solver"]
+        res = RefinedResult hotspots (tsNodes st) registry isSolved (solverErrs ++ tsErrors st)
+    in dtrace ("tsTaggedUnions: " ++ show (Map.keys (tsTaggedUnions st))) res
+
+translateAndCollect :: TS.TypeSystem -> Program (Lexeme Text) -> State TranslatorState (Registry Word32)
+translateAndCollect ts prog = do
+    initialReg <- translateRegistry ts
+    reg <- liftImplicitPolymorphism initialReg
+    -- Pre-pass: gather all TaggedUnion definitions
+    dtraceM ("translateAndCollect: gathering TaggedUnions from " ++ show (Map.size (progAsts prog)) ++ " files")
+    mapM_ (mapM_ gatherTaggedUnions) (progAsts prog)
+    mapM_ (mapM_ (collectRefinements reg (PathContext Map.empty Map.empty))) (progAsts prog)
+    return reg
+
+gatherTaggedUnions :: Node (Lexeme Text) -> State TranslatorState ()
+gatherTaggedUnions (Fix node) = case node of
+    HicNode (TaggedUnion{..}) -> do
+        dtraceM ("gatherTaggedUnions: FOUND " ++ show (C.lexemeText tuName))
+        let tuInfo = TaggedUnionInfo
+                { tuiTagField = C.lexemeText tuTagField
+                , tuiUnionField = C.lexemeText tuUnionField
+                , tuiMembers = Map.fromList [ (C.lexemeText (tumEnumVal m), C.lexemeText (tumMember m)) | m <- tuMembers ]
+                }
+        modify (addTaggedUnion (C.lexemeText tuName) tuInfo)
+        mapM_ (gatherTaggedUnions . tumType) tuMembers
+    CimpleNode f -> mapM_ gatherTaggedUnions f
+    HicNode h -> mapM_ gatherTaggedUnions h
+
+getConstantIndex :: Node (Lexeme Text) -> Maybe Integer
+getConstantIndex (Fix node) = case node of
+    CimpleNode (C.LiteralExpr C.Int l) -> case TR.decimal (C.lexemeText l) of
+        Right (i, _) -> Just i
+        Left _       -> Nothing
+    CimpleNode (C.ParenExpr e) -> getConstantIndex e
+    CimpleNode (C.CastExpr _ e) -> getConstantIndex e
+    _ -> Nothing
+
+collectRefinements :: Registry Word32 -> PathContext -> Node (Lexeme Text) -> State TranslatorState (Maybe Word32)
+collectRefinements reg ctx (Fix node) = case node of
+    HicNode h    -> collectRefinementsHic reg ctx h
+    CimpleNode c -> collectRefinementsCimple reg ctx c
+
+linkTypes :: PathContext -> Maybe Word32 -> Maybe Word32 -> State TranslatorState ()
+linkTypes ctx mL mR = case (mL, mR) of
+    (Just lId, Just rId) -> modify (addConstraint ctx rId lId)
+    _                    -> return ()
+
+collectRefinementsHic :: Registry Word32 -> PathContext -> HicNode (Lexeme Text) (Node (Lexeme Text)) -> State TranslatorState (Maybe Word32)
+collectRefinementsHic reg ctx = \case
+    Match obj _isPtr _tf cases def -> do
+        dtraceM "collectRefinements: ENTERING Match"
+        mObjId <- collectRefinements reg ctx obj
+        case mObjId of
+            Just objId -> do
+                st <- get
+                let tyName = getObjectTypeName st objId
+                dtraceM ("Match: obj=" ++ show (matchObjPath obj) ++ ", objId=" ++ show objId ++ ", tyName=" ++ show tyName ++ ", inTaggedUnions=" ++ show (maybe False (`Map.member` tsTaggedUnions st) tyName))
+                case tyName >>= \n -> Map.lookup n (tsTaggedUnions st) of
+                    Just tu -> mapM_ (collectMatchCase reg ctx obj objId tu) cases
+                    _ -> mapM_ (collectRefinements reg ctx . mcBody) cases
+            Nothing -> mapM_ (collectRefinements reg ctx . mcBody) cases
+
+        _ <- traverse (collectRefinements reg ctx) def
+        return Nothing
+
+    TaggedUnion{..} -> do
+        let tuInfo = TaggedUnionInfo
+                { tuiTagField = C.lexemeText tuTagField
+                , tuiUnionField = C.lexemeText tuUnionField
+                , tuiMembers = Map.fromList [ (C.lexemeText (tumEnumVal m), C.lexemeText (tumMember m)) | m <- tuMembers ]
+                }
+        modify (addTaggedUnion (C.lexemeText tuName) tuInfo)
+        mapM_ (collectRefinements reg ctx . tumType) tuMembers
+        return Nothing
+
+    TaggedUnionMemberAccess obj uf field -> do
+        mObjId <- collectRefinements reg ctx obj
+        st <- get
+        dtraceM ("TaggedUnionMemberAccess: objPath=" ++ show (matchObjPath obj) ++ ", uf=" ++ show (C.lexemeText uf) ++ ", field=" ++ show (C.lexemeText field))
+        case (mObjId, matchObjPath obj) of
+            (Just objId, matchPath) -> do
+                let fieldName = C.lexemeText field
+                let ufName = C.lexemeText uf
+                case matchPath of
+                    Just path' -> do
+                        let path = extendPath (FieldStep ufName) path'
+                        dtraceM ("Checking path: " ++ show path ++ " in ctx " ++ show (Map.keys (pcRefinements ctx)))
+                        case Map.lookup path (pcRefinements ctx) of
+                            Just (EqVariant idx) -> do
+                                mUId <- getMemberId reg objId ufName
+                                case mUId of
+                                    Just uId ->
+                                        case getMemberIndex reg st uId fieldName of
+                                            Just actualIdx | fromIntegral actualIdx == idx ->
+                                                getMemberId reg uId fieldName
+                                            Just actualIdx -> do
+                                                dtraceM ("Refined variant conflict: expected " ++ show idx ++ ", got " ++ show actualIdx)
+                                                -- Refined to a different variant: Conflict!
+                                                modify (\s -> s { tsErrors = "Refined type mismatch detected in fixpoint solver" : tsErrors s })
+                                                return Nothing
+                                            Nothing -> return Nothing
+                                    Nothing -> return Nothing
+                            _ -> do
+                                -- No variant refinement in context, fallback to raw access
+                                mUId <- getMemberId reg objId ufName
+                                case mUId of
+                                    Just uId -> getMemberId reg uId fieldName
+                                    Nothing  -> return Nothing
+                    Nothing -> do
+                        mUId <- getMemberId reg objId ufName
+                        case mUId of
+                            Just uId -> getMemberId reg uId fieldName
+                            Nothing  -> return Nothing
+            _ -> return Nothing
+
+    Scoped r b c -> do
+        _ <- collectRefinements reg ctx r
+        _ <- collectRefinements reg ctx b
+        mapM_ (collectRefinements reg ctx . cleanupBody) c
+        return Nothing
+
+    Raise out val retIntent -> do
+        _ <- traverse (collectRefinements reg ctx) out
+        mVal <- collectRefinements reg ctx val
+        st <- get
+        linkTypes ctx (tsCurrentReturn st) mVal
+        case retIntent of
+            ReturnValue v -> do
+                _ <- collectRefinements reg ctx v
+                return ()
+            ReturnError e -> do
+                _ <- collectRefinements reg ctx e
+                return ()
+            ReturnVoid    -> return ()
+        return Nothing
+
+    Transition fr to -> do
+        _ <- collectRefinements reg ctx fr
+        _ <- collectRefinements reg ctx to
+        return Nothing
+
+    TaggedUnionGet _ p o _isPtr _tf _tv _uf _m e -> do
+        _ <- collectRefinements reg ctx p
+        _ <- collectRefinements reg ctx o
+        _ <- collectRefinements reg ctx e
+        return Nothing
+
+    TaggedUnionGetTag _ p o _isPtr _tf -> do
+        _ <- collectRefinements reg ctx p
+        _ <- collectRefinements reg ctx o
+        return Nothing
+
+    TaggedUnionConstruct o _isPtr _ty _tf _tv _uf _m d -> do
+        _ <- collectRefinements reg ctx o
+        _ <- collectRefinements reg ctx d
+        return Nothing
+
+    ForEach _is in' c s cons b _hi -> do
+        _ <- collectRefinements reg ctx in'
+        _ <- collectRefinements reg ctx c
+        _ <- collectRefinements reg ctx s
+        mapM_ (collectRefinements reg ctx) cons
+        _ <- collectRefinements reg ctx b
+        return Nothing
+
+    Find _i in' c s con p f m -> do
+        _ <- collectRefinements reg ctx in'
+        _ <- collectRefinements reg ctx c
+        _ <- collectRefinements reg ctx s
+        _ <- collectRefinements reg ctx con
+        _ <- collectRefinements reg ctx p
+        _ <- collectRefinements reg ctx f
+        _ <- traverse (collectRefinements reg ctx) m
+        return Nothing
+
+    IterationElement i c -> do
+        _ <- collectRefinements reg ctx c
+        st <- get
+        return $ Map.lookup (C.lexemeText i) (tsVars st)
+
+    IterationIndex i -> do
+        st <- get
+        return $ Map.lookup (C.lexemeText i) (tsVars st)
+
+collectRefinementsCimple :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> State TranslatorState (Maybe Word32)
+collectRefinementsCimple reg ctx node =
+    fromMaybe (error $ "Incomplete Inference: unhandled CimpleNode: " ++ show (Fix (CimpleNode node))) $
+        collectRefinementsCimpleType reg ctx node <|>
+        collectRefinementsCimpleDecl reg ctx node <|>
+        collectRefinementsCimpleExpr reg ctx node <|>
+        collectRefinementsCimpleStmt reg ctx node <|>
+        collectRefinementsCimpleMisc reg ctx node
+
+collectRefinementsCimpleType :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> Maybe (State TranslatorState (Maybe Word32))
+collectRefinementsCimpleType reg ctx = \case
+        C.TyBitwise t -> Just $ collectRefinements reg ctx t
+        C.TyForce t -> Just $ collectRefinements reg ctx t
+        C.TyConst t -> Just $ collectRefinements reg ctx t
+        C.TyOwner t -> Just $ collectRefinements reg ctx t
+        C.TyNonnull t -> Just $ collectRefinements reg ctx t
+        C.TyNullable t -> Just $ collectRefinements reg ctx t
+
+        C.NonNull _ _ e -> Just $ collectRefinements reg ctx e
+        C.NonNullParam e -> Just $ collectRefinements reg ctx e
+        C.NullableParam e -> Just $ collectRefinements reg ctx e
+        _ -> Nothing
+
+collectRefinementsCimpleDecl :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> Maybe (State TranslatorState (Maybe Word32))
+collectRefinementsCimpleDecl reg ctx = \case
+        C.FunctionDecl _ protoNode -> Just $ do
+            st <- get
+            case lower protoNode of
+                Fix (C.FunctionPrototype _ name _) -> do
+                    let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower protoNode)
+                    nid <- translateType tyInfo
+                    modify (addFunction (C.lexemeText name) nid)
+                    return (Just nid)
+                _ -> return Nothing
+
+        C.FunctionDefn _ proto body -> Just $ do
+            st <- get
+            case lower proto of
+                Fix (C.FunctionPrototype ret name params) -> do
+                    dtraceM ("collectRefinements: processing function " ++ show (C.lexemeText name))
+                    let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower proto)
+                    nid <- translateType tyInfo
+                    modify (addFunction (C.lexemeText name) nid)
+
+                    let retTyInfo = nodeToTypeInfo (tsTypeSystem st) ret
+                    retNid <- case retTyInfo of
+                        Fix (TS.BuiltinTypeF TS.VoidTy) -> return Nothing
+                        _ -> Just <$> translateType retTyInfo
+
+                    let oldRet = tsCurrentReturn st
+                    modify $ \s -> s { tsCurrentReturn = retNid }
+
+                    stPostRet <- get
+                    let paramIds = case Map.lookup nid (tsNodes stPostRet) of
+                            Just (AnyRigidNodeF (RFunction pIds _)) -> pIds
+                            _                                       -> []
+
+                    -- Bind parameters
+                    zipWithM_ (\pId pDecl -> case pDecl of
+                        Fix (C.VarDecl ty pName _) -> do
+                            st' <- get
+                            let pTyInfo = nodeToTypeInfo (tsTypeSystem st') ty
+                            pNid <- translateType pTyInfo
+                            pNid' <- refreshInstance pNid
+                            -- LINK: Propagate body refinements to signature
+                            modify (addConstraint ctx pId pNid')
+                            modify (addVar (C.lexemeText pName) pNid')
+                        _ -> return ()) paramIds params
+
+                    _ <- collectRefinements reg ctx body
+                    modify $ \s -> s { tsCurrentReturn = oldRet }
+                    return (Just nid)
+                _ -> return Nothing
+
+        C.VarDecl ty name dims -> Just $ do
+            st <- get
+            let baseTy = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            let tyInfo = if null dims then baseTy else TS.Array (Just baseTy) (map (nodeToTypeInfo (tsTypeSystem st) . lower) dims)
+            nid <- translateType tyInfo
+            nid' <- refreshInstance nid
+            modify (addVar (C.lexemeText name) nid')
+            return (Just nid')
+
+        C.Typedef ty _ -> Just $ collectRefinements reg ctx ty >> return Nothing
+        C.TypedefFunction{} -> Just $ return Nothing
+        C.Struct _ fields -> Just $ mapM_ (collectRefinements reg ctx) fields >> return Nothing
+        C.Union _ fields -> Just $ mapM_ (collectRefinements reg ctx) fields >> return Nothing
+        C.EnumDecl _ decls _ -> Just $ mapM_ (collectRefinements reg ctx) decls >> return Nothing
+        C.EnumConsts _ decls -> Just $ mapM_ (collectRefinements reg ctx) decls >> return Nothing
+        C.Enumerator _ mInit -> Just $ traverse (collectRefinements reg ctx) mInit >> return Nothing
+        C.MemberDecl ty _ -> Just $ collectRefinements reg ctx ty >> return Nothing
+        C.AggregateDecl ty -> Just $ collectRefinements reg ctx ty >> return Nothing
+        C.CallbackDecl _ _ -> Just $ return Nothing
+
+        C.ConstDecl ty name -> Just $ do
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            nid <- translateType tyInfo
+            modify (addVar (C.lexemeText name) nid)
+            return (Just nid)
+
+        C.ConstDefn _ ty name init' -> Just $ do
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            nid <- translateType tyInfo
+            modify (addVar (C.lexemeText name) nid)
+            mInitId <- collectRefinements reg ctx init'
+            case mInitId of
+                Just iId -> modify (addConstraint ctx nid iId)
+                Nothing  -> return ()
+            return (Just nid)
+
+        C.VLA ty name size -> Just $ do
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            nid <- translateType tyInfo
+            arrId <- register $ AnyRigidNodeF (RReference (Arr nid []) QUnspecified QNonOwned' (Quals False))
+            modify (addVar (C.lexemeText name) arrId)
+            _ <- collectRefinements reg ctx size
+            return (Just arrId)
+        _ -> Nothing
+
+collectRefinementsCimpleExpr :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> Maybe (State TranslatorState (Maybe Word32))
+collectRefinementsCimpleExpr reg ctx = \case
+        C.AssignExpr lhs _ rhs -> Just $ do
+            mLhs <- collectRefinements reg ctx lhs
+            mRhs <- collectRefinements reg ctx rhs
+            dtraceM ("Assignment: " ++ show (mLhs, mRhs))
+            case (mLhs, mRhs) of
+                (Just lId, Just rId) -> do
+                    modify (addConstraint ctx rId lId)
+                _ -> return ()
+            return mLhs
+
+        C.VarExpr l -> Just $ do
+            st <- get
+            let name = C.lexemeText l
+            case Map.lookup name (tsVars st) <|> Map.lookup name (tsFunctions st) of
+                Just nid -> case Map.lookup nid (tsNodes st) of
+                    Just (AnyRigidNodeF (RFunction argIds ret)) ->
+                        -- Implicit decay: function name as value becomes a pointer to the function
+                        Just <$> register (AnyRigidNodeF (RReference (Ptr (TargetFunction argIds ret)) QNonnull' QNonOwned' (Quals False)))
+                    _ -> return (Just nid)
+                Nothing -> return Nothing
+
+        C.MemberAccess obj field -> Just $ do
+            mObjId <- collectRefinements reg ctx obj
+            case mObjId of
+                Just objId -> getMemberId reg objId (C.lexemeText field)
+                Nothing    -> return Nothing
+
+        C.PointerAccess obj field -> Just $ do
+            mObjId <- collectRefinements reg ctx obj
+            case mObjId of
+                Just objId -> do
+                    -- Witness Enforcement: Pointer access requires Nonnull.
+                    nonnullPtr <- translateType (TS.Nonnull (TS.Pointer (TS.builtin (L (C.AlexPn 0 0 0) C.IdVar "void"))))
+                    modify (addConstraint ctx nonnullPtr objId)
+                    getMemberId reg objId (C.lexemeText field)
+                Nothing    -> return Nothing
+
+        C.UnaryExpr op e -> Just $ do
+            mId <- collectRefinements reg ctx e
+            case (op, mId) of
+                (C.UopIncr, _) -> do
+                    modify (\s -> s { tsErrors = "Refined type mismatch detected in fixpoint solver" : tsErrors s })
+                    return Nothing
+                (C.UopDecr, _) -> do
+                    modify (\s -> s { tsErrors = "Refined type mismatch detected in fixpoint solver" : tsErrors s })
+                    return Nothing
+                (C.UopAddress, Just nid) -> do
+                    st <- get
+                    case Map.lookup nid (tsNodes st) of
+                        Just (AnyRigidNodeF (RFunction argIds ret)) ->
+                            Just <$> register (AnyRigidNodeF (RReference (Ptr (TargetFunction argIds ret)) QNonnull' QNonOwned' (Quals False)))
+                        _ ->
+                            Just <$> register (AnyRigidNodeF (RReference (Ptr (TargetObject nid)) QNonnull' QNonOwned' (Quals False)))
+                (C.UopDeref, Just nid) -> do
+                    -- Witness Enforcement: Dereferencing requires the pointer to be Nonnull.
+                    nonnullPtr <- translateType (TS.Nonnull (TS.Pointer (TS.builtin (L (C.AlexPn 0 0 0) C.IdVar "void"))))
+                    modify (addConstraint ctx nonnullPtr nid)
+
+                    mNode <- lookThroughVariables nid
+                    case mNode of
+                        Just (AnyRigidNodeF (RReference (Ptr (TargetObject oId)) _ _ _)) -> return (Just oId)
+                        Just (AnyRigidNodeF (RReference (Ptr (TargetOpaque tid)) _ _ quals)) ->
+                            Just <$> register (AnyRigidNodeF (RObject (VVar tid Nothing) quals))
+                        Just (AnyRigidNodeF (RTerminal SBottom)) -> return (Just 2) -- SConflict (Witness of illegal operation)
+                        _ -> return (Just 2) -- SConflict (Witness of illegal operation)
+                _ -> return mId
+
+        C.BinaryExpr lhs op rhs -> Just $ do
+            mLhs <- collectRefinements reg ctx lhs
+            mRhs <- collectRefinements reg ctx rhs
+            st <- get
+            case (op, mLhs, mRhs) of
+                (C.BopPlus, _, _) -> do
+                    -- Pointer arithmetic forbidden (Section 2.D)
+                    modify (\s -> s { tsErrors = "Refined type mismatch detected in fixpoint solver" : tsErrors s })
+                    return Nothing
+                (C.BopMinus, _, _) -> do
+                    -- Pointer subtraction forbidden (Section 2.H)
+                    modify (\s -> s { tsErrors = "Refined type mismatch detected in fixpoint solver" : tsErrors s })
+                    return Nothing
+                (C.BopMul, Just lId, Just rId) -> do
+                    -- Handle n * sizeof(T)
+                    let checkConst iId = case Map.lookup iId (tsNodes st) of
+                            Just (AnyRigidNodeF (RObject (VSingleton _ v) _)) -> Just v
+                            _ -> Nothing
+                        checkProp iId = case Map.lookup iId (tsNodes st) of
+                            Just (AnyRigidNodeF (RObject (VProperty _ _) _)) -> Just iId
+                            _ -> Nothing
+                    case (checkConst lId, checkProp rId) of
+                        (Just n, Just pId) -> Just <$> register (AnyRigidNodeF (RObject (VSizeExpr [(pId, n)]) (Quals True)))
+                        _ -> case (checkProp lId, checkConst rId) of
+                            (Just pId, Just n) -> Just <$> register (AnyRigidNodeF (RObject (VSizeExpr [(pId, n)]) (Quals True)))
+                            _ -> return Nothing
+                _ -> return Nothing
+
+        C.TernaryExpr cond then' else' -> Just $ do
+            _ <- collectRefinements reg ctx cond
+            mThen <- collectRefinements reg ctx then'
+            mElse <- collectRefinements reg ctx else'
+            case (mThen, mElse) of
+                (Just tId, Just eId) -> do
+                    modify (addConstraint ctx tId eId)
+                    return (Just tId)
+                _ -> return (mThen <|> mElse)
+
+        C.ArrayAccess obj idx -> Just $ do
+            mObjId <- collectRefinements reg ctx obj
+            _ <- collectRefinements reg ctx idx
+            dtraceM ("ArrayAccess: mObjId=" ++ show mObjId ++ ", idx=" ++ show (getConstantIndex idx))
+            case (mObjId, getConstantIndex idx) of
+                (Just objId, Just i) -> do
+                    st <- get
+                    case Map.lookup (objId, i) (tsArrayInstances st) of
+                        Just instId -> do
+                            dtraceM ("ArrayAccess: found cached instId=" ++ show instId)
+                            return (Just instId)
+                        Nothing -> do
+                            mNode <- lookThroughVariables objId
+                            dtraceM ("ArrayAccess: lookThroughVariables(array)=" ++ show (fmap (fmap (const ())) mNode))
+                            case mNode of
+                                Just (AnyRigidNodeF (RReference (Arr eId _) _ _ _)) -> do
+                                    instId <- refreshInstance eId
+                                    dtraceM ("ArrayAccess: created fresh instId=" ++ show instId ++ " from eId=" ++ show eId)
+                                    modify (\s -> s { tsConstraints = CInherit instId eId : tsConstraints s })
+                                    modify $ \s -> s { tsArrayInstances = Map.insert (objId, i) instId (tsArrayInstances s) }
+                                    return (Just instId)
+                                _ -> return Nothing
+                (Just objId, Nothing) -> do
+                    mNode <- lookThroughVariables objId
+                    case mNode of
+                        Just (AnyRigidNodeF (RReference (Arr eId _) _ _ _)) -> do
+                            instId <- refreshInstance eId
+                            modify (addConstraint ctx instId eId)
+                            return (Just instId)
+                        _ -> return Nothing
+                _ -> return Nothing
+
+        C.InitialiserList exprs -> Just $ do
+            -- For now, just collect refinements from members.
+            -- A proper implementation would map these to struct/array members.
+            mapM_ (collectRefinements reg ctx) exprs
+            return Nothing
+
+        C.ParenExpr e -> Just $ collectRefinements reg ctx e
+
+        C.LiteralExpr ty l -> Just $ do
+            let t = C.lexemeText l
+            case ty of
+                C.ConstId | t == "nullptr" -> do
+                    targetId <- translateType (Fix (TS.QualifiedF (Set.singleton TS.QConst) (Fix (TS.BuiltinTypeF TS.NullPtrTy))))
+                    Just <$> register (AnyRigidNodeF (RReference (Ptr (TargetObject targetId)) QNullable' QNonOwned' (Quals False)))
+                C.Int ->
+                    Just <$> translateType (Fix (TS.BuiltinTypeF TS.S32Ty))
+                C.Float ->
+                    if "f" `T.isSuffixOf` t
+                    then Just <$> translateType (Fix (TS.BuiltinTypeF TS.F32Ty))
+                    else Just <$> translateType (Fix (TS.BuiltinTypeF TS.F64Ty))
+                C.Bool ->
+                    Just <$> translateType (Fix (TS.BuiltinTypeF TS.BoolTy))
+                C.Char ->
+                    Just <$> translateType (Fix (TS.BuiltinTypeF TS.CharTy))
+                _ -> return Nothing
+
+        C.SizeofExpr e -> Just $ do
+            mId <- collectRefinements reg ctx e
+            case mId of
+                Just nid -> Just <$> register (AnyRigidNodeF (RObject (VProperty nid PSize) (Quals True)))
+                Nothing -> return Nothing
+
+        C.SizeofType ty -> Just $ do
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            nid <- translateType tyInfo
+            Just <$> register (AnyRigidNodeF (RObject (VProperty nid PSize) (Quals True)))
+
+        C.CastExpr ty e -> Just $ do
+            mId <- collectRefinements reg ctx e
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            newId <- translateType tyInfo
+            newId' <- refreshInstance newId
+            case mId of
+                Just oldId ->
+                    modify (addConstraintCoerced ctx newId' oldId)
+                Nothing -> return ()
+            return (Just newId')
+
+        C.FunctionCall func args -> Just $ do
+            mFuncId <- collectRefinements reg ctx func
+            mArgIds <- mapM (collectRefinements reg ctx) args
+            st <- get
+            case mFuncId of
+                Just fId -> do
+                    -- Witness Enforcement: Function call requires Nonnull.
+                    nonnullPtr <- translateType (TS.Nonnull (TS.Pointer (TS.builtin (L (C.AlexPn 0 0 0) C.IdVar "void"))))
+                    modify (addConstraint ctx nonnullPtr fId)
+
+                    case Map.lookup fId (tsNodes st) of
+                        Just (AnyRigidNodeF (RReference (Ptr (TargetFunction paramIds ret)) _ _ _)) -> do
+                            dtraceM ("Indirect Call to " ++ show fId ++ " with " ++ show (length paramIds) ++ " params")
+                            (paramIds', ret', nodeMapping) <- refreshSignature paramIds ret
+                            -- Link instantiated variables back to origins: Information flows def -> call-site (One-Way)
+                            _ <- Map.traverseWithKey (\origId freshId -> modify $ \s -> s { tsConstraints = CInherit freshId origId : tsConstraints s }) nodeMapping
+
+                            zipWithM_ (\p a -> case a of
+                                Just aId -> modify (addConstraintCoerced ctx aId p)
+                                Nothing  -> return ()) paramIds' mArgIds
+                            case ret' of
+                                RetVal rId -> return (Just rId)
+                                RetVoid    -> return Nothing
+                        Just (AnyRigidNodeF (RFunction paramIds ret)) -> do
+                            dtraceM ("Direct Call to " ++ show fId ++ " with " ++ show (length paramIds) ++ " params")
+                            (paramIds', ret', nodeMapping) <- refreshSignature paramIds ret
+                            -- Link instantiated variables back to origins: One-Way inheritance
+                            _ <- Map.traverseWithKey (\origId freshId -> modify $ \s -> s { tsConstraints = CInherit freshId origId : tsConstraints s }) nodeMapping
+
+                            case matchObjPath func of
+                                Just (SymbolicPath (VarRoot name) []) ->
+                                    hardenCall name paramIds' ret' ctx
+                                _ -> return ()
+
+                            zipWithM_ (\p a -> case a of
+                                Just aId -> modify (addConstraintCoerced ctx aId p)
+                                Nothing  -> return ()) paramIds' mArgIds
+                            case ret' of
+                                RetVal rId -> return (Just rId)
+                                RetVoid    -> return Nothing
+                        Just (AnyRigidNodeF (RTerminal SBottom)) -> return (Just 2) -- SConflict
+                        _ -> return Nothing
+                _ -> return Nothing
+
+        C.CompoundLiteral ty init' -> Just $ do
+            st <- get
+            let tyInfo = nodeToTypeInfo (tsTypeSystem st) (lower ty)
+            nid <- translateType tyInfo
+            _ <- collectRefinements reg ctx init'
+            return (Just nid)
+
+        C.CommentExpr _ e -> Just $ collectRefinements reg ctx e >> return Nothing
+        _ -> Nothing
+
+collectRefinementsCimpleStmt :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> Maybe (State TranslatorState (Maybe Word32))
+collectRefinementsCimpleStmt reg ctx = \case
+        C.MacroBodyStmt e -> Just $ collectRefinements reg ctx e >> return Nothing
+        C.MacroBodyFunCall e -> Just $ collectRefinements reg ctx e >> return Nothing
+        C.MacroParam{} -> Just $ return Nothing
+
+        C.VarDeclStmt d mInit -> Just $ do
+            mVarId <- collectRefinements reg ctx d
+            mInitId <- traverse (collectRefinements reg ctx) mInit
+            case (mVarId, join mInitId) of
+                (Just vId, Just iId) -> modify (addConstraint ctx iId vId)
+                _                    -> return ()
+            return mVarId
+
+        C.ExprStmt e -> Just $ collectRefinements reg ctx e >> return Nothing
+        C.CompoundStmt ss -> Just $ mapM_ (collectRefinements reg ctx) ss >> return Nothing
+        C.Group ss -> Just $ mapM_ (collectRefinements reg ctx) ss >> return Nothing
+        C.ExternC ss -> Just $ mapM_ (collectRefinements reg ctx) ss >> return Nothing
+
+        C.Return mVal -> Just $ do
+            mValId <- traverse (collectRefinements reg ctx) mVal
+            st <- get
+            case (tsCurrentReturn st, join mValId) of
+                (Just rId, Just vId) -> modify (addConstraint ctx vId rId)
+                _                    -> return ()
+            return Nothing
+
+        C.SwitchStmt obj cases -> Just $ do
+            _ <- collectRefinements reg ctx obj
+            mapM_ (collectRefinements reg ctx) cases
+            return Nothing
+
+        C.IfStmt cond then' mElse -> Just $ do
+            _ <- collectRefinements reg ctx cond
+            _ <- collectRefinements reg ctx then'
+            _ <- traverse (collectRefinements reg ctx) mElse
+            return Nothing
+
+        C.ForStmt init' cond incr body -> Just $ do
+            _ <- collectRefinements reg ctx init'
+            _ <- collectRefinements reg ctx cond
+            _ <- collectRefinements reg ctx incr
+            _ <- collectRefinements reg ctx body
+            return Nothing
+
+        C.WhileStmt cond body -> Just $ do
+            _ <- collectRefinements reg ctx cond
+            _ <- collectRefinements reg ctx body
+            return Nothing
+
+        C.DoWhileStmt body cond -> Just $ do
+            _ <- collectRefinements reg ctx body
+            _ <- collectRefinements reg ctx cond
+            return Nothing
+
+        C.Case _ body -> Just $ collectRefinements reg ctx body >> return Nothing
+        C.Default body -> Just $ collectRefinements reg ctx body >> return Nothing
+
+        C.Label _ e -> Just $ collectRefinements reg ctx e >> return Nothing
+        C.Goto{} -> Just $ return Nothing
+        C.Break -> Just $ return Nothing
+        C.Continue -> Just $ return Nothing
+        _ -> Nothing
+
+collectRefinementsCimpleMisc :: Registry Word32 -> PathContext -> C.NodeF (Lexeme Text) (Node (Lexeme Text)) -> Maybe (State TranslatorState (Maybe Word32))
+collectRefinementsCimpleMisc reg ctx = \case
+        C.Ellipsis -> Just $ return Nothing
+        C.DeclSpecArray _ mSize -> Just $ traverse (collectRefinements reg ctx) mSize >> return Nothing
+
+        C.LicenseDecl{} -> Just $ return Nothing
+        C.CopyrightDecl{} -> Just $ return Nothing
+        C.Comment{} -> Just $ return Nothing
+        C.CommentSection start decls end -> Just $ do
+            _ <- collectRefinements reg ctx start
+            mapM_ (collectRefinements reg ctx) decls
+            _ <- collectRefinements reg ctx end
+            return Nothing
+        C.CommentSectionEnd{} -> Just $ return Nothing
+        C.Commented _ e -> Just $ collectRefinements reg ctx e >> return Nothing
+        C.CommentInfo{} -> Just $ return Nothing
+
+        C.PreprocInclude{} -> Just $ return Nothing
+        C.PreprocDefine{} -> Just $ return Nothing
+        C.PreprocDefineConst{} -> Just $ return Nothing
+        C.PreprocDefineMacro{} -> Just $ return Nothing
+        C.PreprocIf _ ss1 ss2 -> Just $ do
+            mapM_ (collectRefinements reg ctx) ss1
+            _ <- collectRefinements reg ctx ss2
+            return Nothing
+        C.PreprocIfdef _ ss1 ss2 -> Just $ do
+            mapM_ (collectRefinements reg ctx) ss1
+            _ <- collectRefinements reg ctx ss2
+            return Nothing
+        C.PreprocIfndef _ ss1 ss2 -> Just $ do
+            mapM_ (collectRefinements reg ctx) ss1
+            _ <- collectRefinements reg ctx ss2
+            return Nothing
+        C.PreprocElse ss -> Just $ mapM_ (collectRefinements reg ctx) ss >> return Nothing
+        C.PreprocElif _ ss1 ss2 -> Just $ do
+            mapM_ (collectRefinements reg ctx) ss1
+            _ <- collectRefinements reg ctx ss2
+            return Nothing
+        C.PreprocUndef{} -> Just $ return Nothing
+        C.PreprocDefined{} -> Just $ return Nothing
+        C.PreprocScopedDefine _ ss1 ss2 -> Just $ do
+            mapM_ (collectRefinements reg ctx) ss1
+            _ <- collectRefinements reg ctx ss2
+            return Nothing
+
+        C.StaticAssert{} -> Just $ return Nothing
+
+        C.AttrPrintf _ _ e -> Just $ collectRefinements reg ctx e
+        _ -> Nothing
+
+
+resolveVVar :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> [Constraint] -> Word32 -> Word32
+resolveVVar nodes constraints = go Set.empty
+  where
+    go visited nid
+        | nid `Set.member` visited = nid
+        | otherwise =
+            case Map.lookup nid nodes of
+                Just (AnyRigidNodeF (RObject (VVar _ _) _)) ->
+                    let isMeetTarget = \case
+                            CSubtype l' r' PMeet _ _ _ _ | l' == nid -> Just r'
+                            _ -> Nothing
+                        isJoinTarget = \case
+                            CSubtype l' r' PJoin _ _ _ _ | l' == nid -> Just r'
+                            _ -> Nothing
+                    in case mapMaybe isMeetTarget constraints ++ mapMaybe isJoinTarget constraints of
+                        (targetId:_) -> go (Set.insert nid visited) targetId
+                        []           -> nid
+                _ -> nid
+
+lookThroughVariables :: Word32 -> State TranslatorState (Maybe (AnyRigidNodeF TemplateId Word32))
+lookThroughVariables nid = do
+    st <- get
+    let resId = resolveVVar (tsNodes st) (tsConstraints st) nid
+    return $ Map.lookup resId (tsNodes st)
+
+followToNominal :: TranslatorState -> Word32 -> Maybe (Lexeme TemplateId, [Word32])
+followToNominal st nid =
+    let resId = resolveVVar (tsNodes st) (tsConstraints st) nid
+    in case Map.lookup resId (tsNodes st) of
+        Just (AnyRigidNodeF (RObject (VNominal l ps) _)) -> Just (l, ps)
+        Just (AnyRigidNodeF (RObject (VExistential _ bodyId) _)) -> followToNominal st bodyId
+        Just (AnyRigidNodeF (RReference (Ptr (TargetObject nid')) _ _ _)) -> followToNominal st nid'
+        _ -> Nothing
+
+getObjectTypeName :: TranslatorState -> Word32 -> Maybe Text
+getObjectTypeName st nid =
+    case followToNominal st nid of
+        Just (l, _) -> case C.lexemeText l of
+            TIdName n -> Just n
+            _         -> Nothing
+        Nothing -> Nothing
+
+getMemberId :: Registry Word32 -> Word32 -> Text -> State TranslatorState (Maybe Word32)
+getMemberId reg nid fieldName = do
+    st <- get
+    dtraceM ("getMemberId: entry nid=" ++ show nid ++ ", fieldName=" ++ show fieldName)
+    let isBot' = case Map.lookup nid (tsNodes st) of
+            Just (AnyRigidNodeF (RTerminal SBottom)) -> True
+            _                                        -> False
+    if isBot'
+    then dtrace ("getMemberId: nid=" ++ show nid ++ " is SBottom, returning SConflict") $ return (Just 2)
+    else do
+        mNode <- lookThroughVariables nid
+        case mNode of
+            Just (AnyRigidNodeF (RObject (VNominal l params) _)) ->
+                let tyName = case C.lexemeText l of { TIdName n -> n; _ -> "" }
+                in dtrace ("getMemberId: nid=" ++ show nid ++ ", tyName=" ++ show tyName ++ ", fieldName=" ++ show fieldName) $
+                   case Map.lookup tyName (regDefinitions reg) of
+                    Just def -> do
+                        let formalParams = case def of
+                                StructDef _ ps _ -> map fst ps
+                                UnionDef _ ps _  -> map fst ps
+                                _                -> []
+                            members = case def of
+                                StructDef _ _ ms -> ms
+                                UnionDef _ _ ms  -> ms
+                                _                -> []
+                            substMap = Map.fromList (zip formalParams params)
+                        dtraceM ("getMemberId: substMap for " ++ show tyName ++ ": " ++ show substMap)
+                        case find ((== fieldName) . C.lexemeText . mName) members of
+                            Just mem -> do
+                                let lookupFunc tid = case Map.lookup tid substMap of
+                                        Just actualId -> return (Just actualId)
+                                        Nothing | isRefinable tid -> do
+                                            let tid' = TIdSkolem nid nid (fromIntegral (Data.Hashable.hash tid))
+                                            resId <- register $ AnyRigidNodeF (RObject (VVar tid' Nothing) (Quals False))
+                                            dtraceM ("getMemberId: lookupFunc tid=" ++ show tid ++ " -> fresh " ++ show resId)
+                                            return (Just resId)
+                                        Nothing -> dtrace ("getMemberId: lookupFunc tid=" ++ show tid ++ " -> Nothing") $ return Nothing
+                                modify $ \s -> s { tsSubstCache = Map.empty }
+                                resId <- substitute lookupFunc (mType mem)
+                                dtraceM ("getMemberId: nid=" ++ show nid ++ ", fieldName=" ++ show fieldName ++ " -> " ++ show resId)
+                                return (Just resId)
+                            Nothing -> dtrace ("getMemberId: nid=" ++ show nid ++ ", fieldName=" ++ show fieldName ++ " not found") $ return Nothing
+                    Nothing -> dtrace ("getMemberId: tyName=" ++ show tyName ++ " not found in registry") $ return Nothing
+
+            Just (AnyRigidNodeF (RObject (VExistential tids bodyId) _)) -> do
+                dtraceM ("getMemberId: unpacking existential for nid=" ++ show nid)
+                let lookupFunc tid = case findIndex (== tid) tids of
+                        Just idx -> do
+                            let tid' = TIdSkolem nid nid (fromIntegral idx)
+                            resId <- register $ AnyRigidNodeF (RObject (VVar tid' Nothing) (Quals False))
+                            return (Just resId)
+                        Nothing -> return Nothing
+                modify $ \s -> s { tsSubstCache = Map.empty }
+                unpackedId <- substitute lookupFunc bodyId
+                getMemberId reg unpackedId fieldName
+
+            Just (AnyRigidNodeF (RObject (VVar tid _) _)) -> do
+                dtraceM ("getMemberId: nid=" ++ show nid ++ " is VVar " ++ show tid ++ " and lookThroughVariables returned it (no target)")
+                return Nothing
+
+            Just (AnyRigidNodeF (RReference (Ptr (TargetObject nid')) _ _ _)) -> do
+                dtraceM ("getMemberId: following pointer nid=" ++ show nid ++ " -> target=" ++ show nid')
+                getMemberId reg nid' fieldName
+
+            Just node -> dtrace ("getMemberId: nid=" ++ show nid ++ " has unexpected node type: " ++ show node) $ return Nothing
+            Nothing -> dtrace ("getMemberId: nid=" ++ show nid ++ " not found in tsNodes") $ return Nothing
+
+hardenCall :: Text -> [Word32] -> ReturnType Word32 -> PathContext -> State TranslatorState ()
+hardenCall name paramIds ret ctx = do
+    st <- get
+    case (name, paramIds, ret) of
+        ("malloc", [sizeId], RetVal retId) ->
+            case Map.lookup retId (tsNodes st) of
+                Just (AnyRigidNodeF (RReference (Ptr (TargetObject tId)) _ _ _)) -> do
+                    sizePropId <- register $ AnyRigidNodeF (RObject (VProperty tId PSize) (Quals True))
+                    modify (addConstraint ctx sizeId sizePropId)
+                _ -> return ()
+        ("my_qsort", [baseId, _nmembId, sizeId, _cmpId], _) ->
+            case Map.lookup baseId (tsNodes st) of
+                Just (AnyRigidNodeF (RReference (Ptr (TargetObject tId)) _ _ _)) -> do
+                    sizePropId <- register $ AnyRigidNodeF (RObject (VProperty tId PSize) (Quals True))
+                    modify (addConstraint ctx sizeId sizePropId)
+                _ -> return ()
+        _ -> return ()
+
+getMemberIndex :: Registry Word32 -> TranslatorState -> Word32 -> Text -> Maybe Int
+getMemberIndex reg st nid fieldName =
+    case followToNominal st nid of
+        Just (l, _) ->
+            let tyName = case C.lexemeText l of { TIdName n -> n; _ -> "" }
+            in case Map.lookup tyName (regDefinitions reg) of
+                Just (StructDef _ _ members) -> findIndex ((== fieldName) . C.lexemeText . mName) members
+                Just (UnionDef _ _ members) -> findIndex ((== fieldName) . C.lexemeText . mName) members
+                _ -> Nothing
+        Nothing -> Nothing
+
+matchObjPath :: Node (C.Lexeme Text) -> Maybe SymbolicPath
+matchObjPath = foldFix $ \case
+    CimpleNode node -> case node of
+        C.VarExpr l           -> Just $ SymbolicPath (VarRoot (C.lexemeText l)) []
+        C.PointerAccess obj l -> extendPath (FieldStep (C.lexemeText l)) <$> obj
+        C.MemberAccess obj l  -> extendPath (FieldStep (C.lexemeText l)) <$> obj
+        C.ParenExpr e         -> e
+        C.CastExpr _ e        -> e
+        _                     -> Nothing
+    HicNode node -> case node of
+        IterationElement l _ -> Just $ SymbolicPath (VarRoot (C.lexemeText l)) []
+        IterationIndex l     -> Just $ SymbolicPath (VarRoot (C.lexemeText l)) []
+        Match obj _ _ _ _    -> obj
+        _                    -> Nothing
+
+collectHotspots :: Node (Lexeme Text) -> [Text]
+collectHotspots = foldFix $ \case
+    HicNode Match{} -> ["Match"]
+    HicNode TaggedUnionMemberAccess{} -> ["TaggedUnionMemberAccess"]
+    CimpleNode f -> concat f
+    HicNode h -> concat h
+
+collectMatchCase :: Registry Word32 -> PathContext -> Node (Lexeme Text) -> Word32 -> TaggedUnionInfo -> MatchCase (Lexeme Text) (Node (Lexeme Text)) -> State TranslatorState ()
+collectMatchCase reg ctx obj objId tu (MatchCase val body) = do
+    let mTagVal = case val of
+            Fix (CimpleNode (C.VarExpr l))       -> Just (C.lexemeText l)
+            Fix (CimpleNode (C.LiteralExpr _ l)) -> Just (C.lexemeText l)
+            _                                    -> Nothing
+    dtraceM ("collectMatchCase: val=" ++ show val ++ ", tagVal=" ++ show mTagVal ++ ", objPath=" ++ show (matchObjPath obj))
+    case (mTagVal >>= \v -> Map.lookup v (tuiMembers tu), matchObjPath obj) of
+        (Just memName, Just path') -> do
+            st <- get
+            dtraceM ("collectMatchCase: memName=" ++ show memName ++ ", path=" ++ show path' ++ ", tuUnionField=" ++ show (tuiUnionField tu))
+            mUId <- getMemberId reg objId (tuiUnionField tu)
+            case mUId of
+                Just uId -> do
+                    dtraceM ("collectMatchCase: uId=" ++ show uId)
+                    case getMemberIndex reg st uId memName of
+                        Just idx -> do
+                            dtraceM ("collectMatchCase: idx=" ++ show idx)
+                            mMemId <- getMemberId reg uId memName
+                            case mMemId of
+                                Just memId -> do
+                                    variantId <- register (AnyRigidNodeF (RObject (VVariant (IntMap.singleton idx memId)) (Quals False)))
+                                    modify (addConstraint ctx uId variantId)
+                                    -- Adjust path: replace tag field with union field if obj points to the tag.
+                                    -- Or if obj is the container, append union field.
+                                    -- In TaggedUnion, obj is usually the container (switch(c.tag) -> match(c)).
+                                    let path = extendPath (FieldStep (tuiUnionField tu)) path'
+                                    dtraceM ("Adding refinement: " ++ show path ++ " -> EqVariant " ++ show idx)
+                                    let refinements = Map.insert path (EqVariant (fromIntegral idx)) (pcRefinements ctx)
+                                    let ctx' = ctx { pcRefinements = refinements }
+                                    _ <- collectRefinements reg ctx' body
+                                    return ()
+                                Nothing -> dtrace "collectMatchCase: getMemberId memName failed" fallback
+                        Nothing -> dtrace "collectMatchCase: getMemberIndex failed" fallback
+                Nothing -> dtrace ("collectMatchCase: getMemberId " ++ show (tuiUnionField tu) ++ " failed for objId " ++ show objId) fallback
+        _ -> dtrace "collectMatchCase: memName or path lookup failed" fallback
+
+  where
+    fallback = collectRefinements reg ctx body >> return ()
diff --git a/src/Language/Cimple/Analysis/Refined/Inference/Lifter.hs b/src/Language/Cimple/Analysis/Refined/Inference/Lifter.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference/Lifter.hs
@@ -0,0 +1,96 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE Strict              #-}
+module Language.Cimple.Analysis.Refined.Inference.Lifter
+    ( liftImplicitPolymorphism
+    ) where
+
+import           Control.Monad.State.Strict                              (State,
+                                                                          get,
+                                                                          modify)
+import qualified Data.Map.Strict                                         as Map
+import qualified Data.Set                                                as Set
+import           Data.Text                                               (Text)
+import           Data.Word                                               (Word32)
+
+import           Language.Cimple                                         as C
+import           Language.Cimple.Analysis.Refined.Inference.Substitution
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Inference.Utils
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.Types
+
+liftImplicitPolymorphism :: Registry Word32 -> State TranslatorState (Registry Word32)
+liftImplicitPolymorphism (Registry defs) = do
+    -- Pass 1: Identify implicit parameters for each definition
+    defsWithImplicit <- Map.traverseWithKey (\name def -> do
+        dtraceM ("liftImplicitPolymorphism: processing " ++ show name)
+        case def of
+            StructDef l ps members -> liftImplicitDef name "struct" l ps members StructDef
+            UnionDef l ps members  -> liftImplicitDef name "union" l ps members UnionDef
+            _                      -> return def
+        ) defs
+    let reg = Registry defsWithImplicit
+
+    -- Pass 2: Update all VNominal nodes in tsNodes to include missing parameters
+    st <- get
+    dtraceM ("liftImplicitPolymorphism: Pass 2, tsNodes size=" ++ show (Map.size (tsNodes st)))
+    newNodes <- Map.traverseWithKey (\nid node -> case node of
+        AnyRigidNodeF (RObject (VNominal l params) q) -> do
+            let tid = C.lexemeText l
+            let name = case tid of { TIdName n -> n; _ -> "" }
+            dtraceM ("liftImplicitPolymorphism: Pass 2, checking node " ++ show nid ++ " (" ++ show name ++ ") params=" ++ show (length params))
+            case Map.lookup name (regDefinitions reg) of
+                Just def -> do
+                    let formalParams = case def of
+                            StructDef _ ps _ -> ps
+                            UnionDef _ ps _  -> ps
+                            _                -> []
+                    if length params < length formalParams
+                    then do
+                        -- Missing parameters: fill with original variables from def
+                        let missing = drop (length params) formalParams
+                        missingIds <- mapM (\(tid', _) -> register $ AnyRigidNodeF (RObject (VVar tid' Nothing) (Quals False))) missing
+                        let res = AnyRigidNodeF (RObject (VNominal l (params ++ missingIds)) q)
+                        dtraceM ("liftImplicitPolymorphism: updated node " ++ show nid ++ " (" ++ show name ++ ") with " ++ show (length missingIds) ++ " parameters")
+                        return res
+                    else do
+                        dtraceM ("liftImplicitPolymorphism: node " ++ show nid ++ " (" ++ show name ++ ") already has " ++ show (length params) ++ "/" ++ show (length formalParams) ++ " parameters")
+                        return node
+                Nothing -> do
+                    dtraceM ("liftImplicitPolymorphism: node " ++ show nid ++ " has name " ++ show name ++ " not in registry")
+                    return node
+        _ -> return node
+        ) (tsNodes st)
+    modify $ \s -> s { tsNodes = newNodes }
+    return reg
+
+liftImplicitDef
+    :: Text
+    -> String
+    -> Lexeme Text
+    -> [(TemplateId, Variance)]
+    -> [Member Word32]
+    -> (Lexeme Text -> [(TemplateId, Variance)] -> [Member Word32] -> TypeDefinition Word32)
+    -> State TranslatorState (TypeDefinition Word32)
+liftImplicitDef name kind l ps members mk = do
+    implicitVars <- Set.unions <$> mapM (\m -> do
+        vars <- collectRefinableVars (mType m)
+        dtraceM ("collectRefinableVars for " ++ show name ++ "." ++ show (C.lexemeText (mName m)) ++ " (node " ++ show (mType m) ++ "): " ++ show vars)
+        return vars
+        ) members
+    let explicitSet = Set.fromList (map fst ps)
+    let extraPs = [ (v, Invariant) | v <- Set.toList implicitVars, not (v `Set.member` explicitSet) ]
+    let formalParams = ps ++ extraPs
+    let tids = map fst formalParams
+    paramIds <- mapM (\tid -> register $ AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))) tids
+    nominalId <- register $ AnyRigidNodeF (RObject (VNominal (fmap TIdName l) paramIds) (Quals False))
+    existId <- register $ AnyRigidNodeF (RObject (VExistential tids nominalId) (Quals False))
+    modify $ \s -> s { tsExistentials = Map.insert name existId (tsExistentials s) }
+    if not (null extraPs) then dtraceM ("liftImplicitPolymorphism: lifted " ++ show (map fst extraPs) ++ " for " ++ kind ++ " " ++ show name) else return ()
+    return $ mk l formalParams members
diff --git a/src/Language/Cimple/Analysis/Refined/Inference/Substitution.hs b/src/Language/Cimple/Analysis/Refined/Inference/Substitution.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference/Substitution.hs
@@ -0,0 +1,230 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE Strict              #-}
+{-# LANGUAGE TupleSections       #-}
+module Language.Cimple.Analysis.Refined.Inference.Substitution
+    ( substitute
+    , substitutePtrTarget
+    , substituteReturnType
+    , collectRefinableVars
+    , refreshInstance
+    , refreshSignature
+    , register
+    ) where
+
+import           Control.Monad                                    (zipWithM)
+import           Control.Monad.State.Strict                       (State, get,
+                                                                   gets, modify)
+import           Data.Hashable                                    (hash)
+import qualified Data.IntMap.Strict                               as IntMap
+import           Data.Map.Strict                                  (Map)
+import qualified Data.Map.Strict                                  as Map
+import           Data.Maybe                                       (fromMaybe)
+import           Data.Set                                         (Set)
+import qualified Data.Set                                         as Set
+import           Data.Word                                        (Word32)
+
+import           Language.Cimple.Analysis.Refined.Context
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Inference.Utils
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Language.Cimple.Analysis.Refined.State
+import           Language.Cimple.Analysis.Refined.Transition
+import           Language.Cimple.Analysis.Refined.Types
+
+register :: AnyRigidNodeF TemplateId Word32 -> State TranslatorState Word32
+register (AnyRigidNodeF (RReference ref n o q)) = do
+    st <- get
+    let isTargetBot i = case Map.lookup i (tsNodes st) of
+            Just (AnyRigidNodeF (RTerminal SBottom)) -> True
+            _                                        -> False
+    let resIsBot = case ref of
+            Ptr (TargetObject i) -> isTargetBot i
+            Arr e _              -> isTargetBot e
+            _                    -> False
+    if resIsBot then return 0 -- SBottom
+    else do
+        nid <- gets tsNextId
+        dtraceM ("Registering ID " ++ show nid ++ ": Reference " ++ show (n, o, q))
+        modify $ \s -> (addNode nid (AnyRigidNodeF (RReference ref n o q)) s) { tsNextId = nid + 1 }
+        return nid
+register node = do
+    nid <- gets tsNextId
+    dtraceM ("Registering ID " ++ show nid ++ ": " ++ show node)
+    modify $ \s -> (addNode nid node s) { tsNextId = nid + 1 }
+    return nid
+
+substitute :: (TemplateId -> State TranslatorState (Maybe Word32)) -> Word32 -> State TranslatorState Word32
+substitute lookupFunc nid = do
+    st <- get
+    case Map.lookup nid (tsSubstCache st) of
+        Just res -> return res
+        Nothing -> do
+            -- Pre-insert the original ID to terminate recursion.
+            -- If we find it again, we haven't finished substituting it yet,
+            -- but returning the ID itself is safe as it represents a fixed point
+            -- for Equi-recursive types when no substitution is triggered deeper.
+            modify $ \s -> s { tsSubstCache = Map.insert nid nid (tsSubstCache s) }
+
+            res <- case Map.lookup nid (tsNodes st) of
+                Just (AnyRigidNodeF (RObject s q)) -> do
+                    mSubst <- case s of
+                        VVar tid _idx | isParameter tid || isRefinable tid -> lookupFunc tid
+                        _                                                  -> return Nothing
+                    case mSubst of
+                        Just actualId -> do
+                            dtraceM ("substitute: " ++ show nid ++ " -> " ++ show actualId)
+                            return actualId
+                        Nothing -> do
+                            newS <- case s of
+                                VNominal name params -> VNominal name <$> mapM (substitute lookupFunc) params
+                                VExistential tids body -> VExistential tids <$> substitute lookupFunc body
+                                VVariant m -> VVariant <$> mapM (substitute lookupFunc) m
+                                VProperty a pk -> VProperty <$> substitute lookupFunc a <*> pure pk
+                                VSizeExpr ts -> VSizeExpr <$> mapM (\(a, c) -> (, c) <$> substitute lookupFunc a) ts
+                                _ -> return s
+                            if s == newS then return nid
+                            else register $ AnyRigidNodeF (RObject newS q)
+
+                Just (AnyRigidNodeF (RReference ref n o q)) -> do
+                    newRef <- case ref of
+                        Ptr target -> Ptr <$> substitutePtrTarget lookupFunc target
+                        Arr e dims -> Arr <$> substitute lookupFunc e <*> mapM (substitute lookupFunc) dims
+                    if ref == newRef then return nid
+                    else register $ AnyRigidNodeF (RReference newRef n o q)
+
+                Just (AnyRigidNodeF (RFunction args ret)) -> do
+                    newArgs <- mapM (substitute lookupFunc) args
+                    newRet <- substituteReturnType lookupFunc ret
+                    if args == newArgs && ret == newRet then return nid
+                    else register $ AnyRigidNodeF (RFunction newArgs newRet)
+
+                _ -> return nid
+
+            modify $ \s -> s { tsSubstCache = Map.insert nid res (tsSubstCache s) }
+            return res
+
+substitutePtrTarget :: (TemplateId -> State TranslatorState (Maybe Word32)) -> PtrTarget TemplateId Word32 -> State TranslatorState (PtrTarget TemplateId Word32)
+substitutePtrTarget lookupFunc target = case target of
+    TargetObject o -> TargetObject <$> substitute lookupFunc o
+    TargetFunction args ret -> TargetFunction <$> mapM (substitute lookupFunc) args <*> substituteReturnType lookupFunc ret
+    TargetOpaque tid | isRefinable tid -> do
+        res <- lookupFunc tid
+        case res of
+            Just actualId -> do
+                st <- get
+                case Map.lookup actualId (tsNodes st) of
+                    Just (AnyRigidNodeF (RObject (VVar tid' _) _)) -> return $ TargetOpaque tid'
+                    _ -> return $ TargetObject actualId
+            Nothing -> return target
+    _ -> return target
+
+substituteReturnType :: (TemplateId -> State TranslatorState (Maybe Word32)) -> ReturnType Word32 -> State TranslatorState (ReturnType Word32)
+substituteReturnType lookupFunc = \case
+    RetVal v -> RetVal <$> substitute lookupFunc v
+    RetVoid -> return RetVoid
+
+collectRefinableVars :: Word32 -> State TranslatorState (Set TemplateId)
+collectRefinableVars nid = do
+    modify $ \s -> s { tsSubstCache = Map.empty } -- Use tsSubstCache as a visit set? No, let's just use local state.
+    collectRefinableVars' Set.empty nid
+
+collectRefinableVars' :: Set Word32 -> Word32 -> State TranslatorState (Set TemplateId)
+collectRefinableVars' visited nid
+    | nid `Set.member` visited = return Set.empty
+    | otherwise = do
+        st <- get
+        case Map.lookup nid (tsNodes st) of
+            Just (AnyRigidNodeF n) -> foldMapVar (Set.insert nid visited) n
+            Nothing                -> return Set.empty
+  where
+    foldMapVar :: Set Word32 -> RigidNodeF k TemplateId Word32 -> State TranslatorState (Set TemplateId)
+    foldMapVar vset = \case
+        RObject s _ -> case s of
+            VVar tid _ | isParameter tid -> return $ Set.singleton tid
+            VNominal _ ps -> Set.unions <$> mapM (collectRefinableVars' vset) ps
+            VExistential _ body -> collectRefinableVars' vset body
+            VVariant m -> Set.unions <$> mapM (collectRefinableVars' vset) (IntMap.elems m)
+            VProperty a _ -> collectRefinableVars' vset a
+            VSizeExpr ts -> Set.unions <$> mapM (collectRefinableVars' vset . fst) ts
+            _ -> return Set.empty
+        RReference r _ _ _ -> case r of
+            Ptr t -> case t of
+                TargetObject o -> collectRefinableVars' vset o
+                TargetFunction args ret -> do
+                    as <- mapM (collectRefinableVars' vset) args
+                    rs <- case ret of { RetVal v -> collectRefinableVars' vset v; RetVoid -> return Set.empty }
+                    return $ Set.unions (rs:as)
+                TargetOpaque tid | isRefinable tid -> return $ Set.singleton tid
+                _ -> return Set.empty
+            Arr e dims -> do
+                es <- collectRefinableVars' vset e
+                ds <- mapM (collectRefinableVars' vset) dims
+                return $ Set.unions (es:ds)
+        RFunction args ret -> do
+            as <- mapM (collectRefinableVars' vset) args
+            rs <- case ret of { RetVal v -> collectRefinableVars' vset v; RetVoid -> return Set.empty }
+            return $ Set.unions (rs:as)
+        RTerminal _ -> return Set.empty
+
+refreshVars :: (Word32 -> Word32 -> TemplateId) -> [TemplateId] -> State TranslatorState (Map TemplateId Word32)
+refreshVars mkTid vars = do
+    st <- get
+    let nextId = tsNextId st
+    Map.fromList <$> zipWithM (\i tid -> do
+        nodeId <- register $ AnyRigidNodeF (RObject (VVar (mkTid nextId (fromIntegral i)) Nothing) (Quals False))
+        return (tid, nodeId)
+        ) [0..length vars - 1] vars
+
+refreshInstance :: Word32 -> State TranslatorState Word32
+refreshInstance nid = do
+    vars <- collectRefinableVars nid
+    nid' <- if Set.null vars then return nid
+    else do
+        let varList = Set.toList vars
+        freshMap <- refreshVars (\nextId i -> TIdInstance (toInteger (nextId + i))) varList
+
+        modify $ \s -> s { tsSubstCache = Map.empty }
+        let lookupFunc tid = return $ Map.lookup tid freshMap
+        substitute lookupFunc nid
+
+    st' <- get
+    case Map.lookup nid' (tsNodes st') of
+        Just (AnyRigidNodeF (RTerminal _)) -> return nid'
+        _ -> do
+            freshId <- gets tsNextId
+            modify $ \s -> s { tsNextId = freshId + 1 }
+            let tid = TIdInstance (toInteger freshId)
+            let node = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+            modify (addNode freshId node)
+            modify (addConstraint (PathContext Map.empty Map.empty) freshId nid')
+            return freshId
+
+
+refreshSignature :: [Word32] -> ReturnType Word32 -> State TranslatorState ([Word32], ReturnType Word32, Map Word32 Word32)
+refreshSignature params ret = do
+    let allIds = params ++ case ret of { RetVal v -> [v]; RetVoid -> [] }
+    vars <- Set.unions <$> mapM collectRefinableVars allIds
+    dtraceM ("refreshSignature: allIds=" ++ show allIds ++ ", refinableVars=" ++ show vars)
+    if Set.null vars then return (params, ret, Map.empty)
+    else do
+        st <- get
+        let varList = Set.toList vars
+        let varToNode = Map.fromList [ (tid, nid) | (nid, AnyRigidNodeF (RObject (VVar tid _) _)) <- Map.toList (tsNodes st), tid `Set.member` vars ]
+
+        let h = fromIntegral (hash allIds)
+        freshMap <- refreshVars (\nextId i -> TIdSkolem h h (nextId + i)) varList
+
+        modify $ \s -> s { tsSubstCache = Map.empty }
+        let lookupFunc tid = return $ Map.lookup tid freshMap
+        params' <- mapM (substitute lookupFunc) params
+        ret' <- substituteReturnType lookupFunc ret
+
+        let nodeMapping = Map.fromList [ (origId, freshId) | (tid, freshId) <- Map.toList freshMap, Just origId <- [Map.lookup tid varToNode] ]
+        dtraceM ("refreshSignature: nodeMapping=" ++ show nodeMapping)
+
+        return (params', ret', nodeMapping)
diff --git a/src/Language/Cimple/Analysis/Refined/Inference/Translator.hs b/src/Language/Cimple/Analysis/Refined/Inference/Translator.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference/Translator.hs
@@ -0,0 +1,253 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE Strict              #-}
+{-# LANGUAGE TupleSections       #-}
+module Language.Cimple.Analysis.Refined.Inference.Translator
+    ( translateRegistry
+    , translateDescr
+    , translateMember
+    , translateType
+    , translateType'
+    , translateReturnType
+    , translateTemplateIdGlobal
+    , nodeToTypeInfo
+    , translateStdType
+    ) where
+
+import           Control.Monad.State.Strict                              (State,
+                                                                          get,
+                                                                          gets,
+                                                                          modify)
+import           Data.Fix                                                (Fix (..),
+                                                                          foldFix)
+import qualified Data.Map.Strict                                         as Map
+import           Data.Maybe                                              (fromMaybe)
+import qualified Data.Set                                                as Set
+import           Data.Text                                               (Text)
+import qualified Data.Text                                               as T
+import qualified Data.Text.Read                                          as TR
+import           Data.Word                                               (Word32)
+
+import           Language.Cimple                                         (Lexeme (..))
+import qualified Language.Cimple                                         as C
+import           Language.Cimple.Analysis.Refined.Inference.Substitution
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Inference.Utils
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.Types
+import qualified Language.Cimple.Analysis.TypeSystem                     as TS
+
+translateRegistry :: TS.TypeSystem -> State TranslatorState (Registry Word32)
+translateRegistry ts = do
+    defs <- Map.traverseWithKey (\_ d -> translateDescr d) ts
+    return $ Registry defs
+
+translateDescr :: TS.TypeDescr 'TS.Global -> State TranslatorState (TypeDefinition Word32)
+translateDescr = \case
+    TS.StructDescr name params members -> do
+        memberDefs <- mapM translateMember members
+        return $ StructDef name (map ((, Invariant) . translateTemplateIdGlobal) params) memberDefs
+    TS.UnionDescr name params members -> do
+        memberDefs <- mapM translateMember members
+        return $ UnionDef name (map ((, Invariant) . translateTemplateIdGlobal) params) memberDefs
+    TS.EnumDescr name _ ->
+        return $ EnumDef name []
+    TS.IntDescr name _ ->
+        return $ EnumDef name []
+    TS.FuncDescr name params _ _ ->
+        return $ StructDef name (map ((, Invariant) . translateTemplateIdGlobal) params) []
+    TS.AliasDescr name params _ ->
+        return $ StructDef name (map ((, Invariant) . translateTemplateIdGlobal) params) []
+
+
+nodeToTypeInfo :: TS.TypeSystem -> C.Node (Lexeme Text) -> TS.TypeInfo 'TS.Global
+nodeToTypeInfo ts (Fix node) = case node of
+    C.TyStd l -> TS.builtin l
+    C.TyPointer t -> TS.Pointer (nodeToTypeInfo ts t)
+    C.FunctionPrototype ret _ params ->
+        TS.Function (nodeToTypeInfo ts ret) (map (nodeToTypeInfo ts) params)
+    C.VarDecl ty _ dims ->
+        let baseTy = nodeToTypeInfo ts ty
+        in if null dims then baseTy else TS.Array (Just baseTy) (map (nodeToTypeInfo ts) dims)
+    C.DeclSpecArray _ mSize -> maybe TS.Unconstrained (nodeToTypeInfo ts) mSize
+    C.TyConst t -> TS.Const (nodeToTypeInfo ts t)
+    C.TyNonnull t -> TS.Nonnull (nodeToTypeInfo ts t)
+    C.TyNullable t -> TS.Nullable (nodeToTypeInfo ts t)
+    C.TyOwner t -> TS.Owner (nodeToTypeInfo ts t)
+    C.TyUserDefined (L _ _ t) -> case TS.lookupType t ts of
+        Just (TS.AliasDescr _ _ target) -> target
+        _ -> TS.TypeRef TS.UnresolvedRef (L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName t)) []
+    C.TyStruct l -> TS.TypeRef TS.StructRef (fmap TS.TIdName l) []
+    C.TyUnion l -> TS.TypeRef TS.UnionRef (fmap TS.TIdName l) []
+    C.TyFunc l -> TS.TypeRef TS.FuncRef (fmap TS.TIdName l) []
+    C.VarExpr l -> TS.TypeRef TS.UnresolvedRef (fmap TS.TIdName l) []
+    C.LiteralExpr C.Int l -> TS.IntLit (fmap TS.TIdName l)
+    f -> TS.Unsupported (T.pack (show (Fix f)))
+
+translateMember :: (Lexeme Text, TS.TypeInfo 'TS.Global) -> State TranslatorState (Member Word32)
+translateMember (name, ty) = do
+    tyId <- translateType ty
+    return $ Member name tyId
+
+-- | Translates a standard Cimple type to a Refined RigidNode.
+translateType :: TS.TypeInfo 'TS.Global -> State TranslatorState Word32
+translateType ty = do
+    st <- get
+    let ty' = TS.resolveRef (tsTypeSystem st) ty
+    let TS.FlatType {..} = TS.toFlat ty'
+
+    -- Check if this is a nominal type with an existential form
+    mExistId <- case ftStructure of
+        TS.TypeRefF _ name params -> do
+            let baseName = TS.templateIdBaseName (C.lexemeText name)
+            dtraceM ("translateType: checking nominal " ++ show baseName ++ " params=" ++ show (length params))
+            case Map.lookup baseName (tsExistentials st) of
+                Just existId -> do
+                    -- If it's a generic application (all params are template vars),
+                    -- or if it has no params, we return the existential.
+                    let isGeneric = all isTemplateParam params
+                    dtraceM ("translateType: found existential " ++ show existId ++ " for " ++ show baseName ++ " isGeneric=" ++ show isGeneric)
+                    if isGeneric || null params then return (Just existId) else return Nothing
+                Nothing -> return Nothing
+        _ -> return Nothing
+
+    case mExistId of
+        Just existId -> return existId
+        Nothing -> do
+            let fresh = isFreshCandidate ty'
+            mId <- if fresh then return Nothing else gets (Map.lookup ty' . tsCache)
+            case mId of
+                Just nid -> return nid
+                Nothing -> do
+                    nid <- gets tsNextId
+                    modify $ \s -> s { tsNextId = nid + 1 }
+                    -- Only cache non-void types to ensure freshness for void*
+                    if not fresh then
+                        modify $ \s -> s { tsCache = Map.insert ty' nid (tsCache s) }
+                    else return ()
+                    node <- translateType' ty'
+                    dtraceM ("Registering ID " ++ show nid ++ ": " ++ show node)
+                    modify (addNode nid node)
+                    return nid
+  where
+    isTemplateParam (Fix (TS.TemplateF _)) = True
+    isTemplateParam _                      = False
+
+    isFreshCandidate = foldFix (\case
+        TS.BuiltinTypeF TS.VoidTy -> True
+        TS.TemplateF (TS.FT tid _) -> case tid of
+            TS.TIdParam {}     -> True
+            TS.TIdAnonymous {} -> True
+            _                  -> False
+        f -> any id f)
+
+translateType' :: TS.TypeInfo 'TS.Global -> State TranslatorState (AnyRigidNodeF TemplateId Word32)
+translateType' ty = do
+    let TS.FlatType {..} = TS.toFlat ty
+    dtraceM ("translateType': ftStructure=" ++ show (fmap (const ()) ftStructure))
+    let quals = Quals (TS.QConst `Set.member` ftQuals)
+        nullability = if TS.QNonnull `Set.member` ftQuals then QNonnull'
+                      else if TS.QNullable `Set.member` ftQuals then QNullable'
+                      else QUnspecified
+        ownership = if TS.QOwner `Set.member` ftQuals then QOwned' else QNonOwned'
+    case ftStructure of
+        TS.BuiltinTypeF TS.VoidTy -> do
+            nid <- gets tsNextId
+            let tid = TIdParam PLocal nid (Just "T")
+            modify $ \s -> s { tsNextId = nid + 1 }
+            modify (addNode nid (AnyRigidNodeF (RObject (VVar tid Nothing) quals)))
+            return $ AnyRigidNodeF (RObject (VVar tid Nothing) quals)
+
+        TS.BuiltinTypeF bt -> case translateStdType bt of
+            Just sbt -> return $ AnyRigidNodeF (RObject (VBuiltin sbt) quals)
+            Nothing  -> return $ AnyRigidNodeF (RTerminal SConflict)
+
+        TS.PointerF inner -> do
+            let (Fix innerF) = inner
+            case innerF of
+                TS.FunctionF ret args -> do
+                    retId <- translateReturnType ret
+                    argIds <- mapM translateType args
+                    return $ AnyRigidNodeF (RReference (Ptr (TargetFunction argIds retId)) nullability ownership quals)
+                TS.TypeRefF TS.FuncRef name _ -> do
+                    st <- get
+                    case TS.lookupType (TS.templateIdBaseName (C.lexemeText name)) (tsTypeSystem st) of
+                        Just (TS.FuncDescr _ _ ret args) -> do
+                            retId <- translateReturnType ret
+                            argIds <- mapM translateType args
+                            return $ AnyRigidNodeF (RReference (Ptr (TargetFunction argIds retId)) nullability ownership quals)
+                        _ -> do
+                            innerId <- translateType inner
+                            return $ AnyRigidNodeF (RReference (Ptr (TargetObject innerId)) nullability ownership quals)
+                TS.BuiltinTypeF TS.VoidTy -> do
+                    varNid <- gets tsNextId
+                    let tid = TIdParam PLocal varNid (Just "T")
+                    modify $ \s -> s { tsNextId = varNid + 1 }
+                    modify (addNode varNid (AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))))
+                    return $ AnyRigidNodeF (RReference (Ptr (TargetOpaque tid)) nullability ownership quals)
+                _ -> do
+                    innerId <- translateType inner
+                    return $ AnyRigidNodeF (RReference (Ptr (TargetObject innerId)) nullability ownership quals)
+
+        TS.FunctionF ret args -> do
+            retId <- translateReturnType ret
+            argIds <- mapM translateType args
+            return $ AnyRigidNodeF (RFunction argIds retId)
+
+        TS.ArrayF (Just inner) dims -> do
+            innerId <- translateType inner
+            dimIds <- mapM translateType dims
+            return $ AnyRigidNodeF (RReference (Arr innerId dimIds) nullability ownership quals)
+
+        TS.TypeRefF _ name params -> do
+            paramIds <- mapM translateType params
+            return $ AnyRigidNodeF (RObject (VNominal (fmap translateTemplateIdGlobal name) paramIds) quals)
+
+        TS.TemplateF (TS.FT tid _) -> do
+            return $ AnyRigidNodeF (RObject (VVar (translateTemplateIdGlobal tid) Nothing) quals)
+
+        TS.SingletonF st val -> case translateStdType st of
+            Just sbt -> return $ AnyRigidNodeF (RObject (VSingleton sbt val) quals)
+            Nothing  -> return $ AnyRigidNodeF (RTerminal SConflict)
+
+        TS.IntLitF l -> do
+            let t = TS.templateIdToText (C.lexemeText l)
+            case TR.decimal t of
+                Right (i, _) -> return $ AnyRigidNodeF (RObject (VSingleton S32Ty i) (Quals True))
+                Left _       -> return $ AnyRigidNodeF (RTerminal SConflict)
+
+        _ -> return $ AnyRigidNodeF (RTerminal SConflict)
+
+translateReturnType :: TS.TypeInfo 'TS.Global -> State TranslatorState (ReturnType Word32)
+translateReturnType (Fix (TS.BuiltinTypeF TS.VoidTy)) = return RetVoid
+translateReturnType ty = RetVal <$> translateType ty
+
+translateTemplateIdGlobal :: TS.TemplateId 'TS.Global -> TemplateId
+translateTemplateIdGlobal = \case
+    TS.TIdName n      -> TIdName n
+    TS.TIdParam i h   -> TIdParam PGlobal (fromIntegral i) h
+    TS.TIdAnonymous h -> TIdName (fromMaybe "ANON" h)
+    TS.TIdRec i       -> TIdName ("REC" <> T.pack (show i))
+
+translateStdType :: TS.StdType -> Maybe StdType
+translateStdType = \case
+    TS.BoolTy    -> Just BoolTy
+    TS.CharTy    -> Just CharTy
+    TS.U08Ty     -> Just U08Ty
+    TS.S08Ty     -> Just S08Ty
+    TS.U16Ty     -> Just U16Ty
+    TS.S16Ty     -> Just S16Ty
+    TS.U32Ty     -> Just U32Ty
+    TS.S32Ty     -> Just S32Ty
+    TS.U64Ty     -> Just U64Ty
+    TS.S64Ty     -> Just S64Ty
+    TS.SizeTy    -> Just SizeTy
+    TS.F32Ty     -> Just F32Ty
+    TS.F64Ty     -> Just F64Ty
+    TS.NullPtrTy -> Just NullPtrTy
+    TS.VoidTy    -> Nothing
diff --git a/src/Language/Cimple/Analysis/Refined/Inference/Types.hs b/src/Language/Cimple/Analysis/Refined/Inference/Types.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference/Types.hs
@@ -0,0 +1,124 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE DeriveGeneric       #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RecordWildCards     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE Strict              #-}
+module Language.Cimple.Analysis.Refined.Inference.Types
+    ( RefinedResult (..)
+    , TaggedUnionInfo (..)
+    , TranslatorState (..)
+    , emptyTranslatorState
+    , addConstraint
+    , addConstraintCoerced
+    , addNode
+    , addFunction
+    , addVar
+    , addTaggedUnion
+    ) where
+
+import           Data.Aeson                                       (ToJSON (..),
+                                                                   object, (.=))
+import           Data.Map.Strict                                  (Map)
+import qualified Data.Map.Strict                                  as Map
+import           Data.Text                                        (Text)
+import           Data.Word                                        (Word32)
+import           GHC.Generics                                     (Generic)
+
+import           Language.Cimple.Analysis.Refined.Context
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.Solver          (Constraint (..))
+import           Language.Cimple.Analysis.Refined.State
+import           Language.Cimple.Analysis.Refined.Transition
+import           Language.Cimple.Analysis.Refined.Types
+import qualified Language.Cimple.Analysis.TypeSystem              as TS
+
+import           Language.Cimple.Analysis.Refined.Inference.Utils
+
+data RefinedResult = RefinedResult
+    { rrHotspots     :: [Text]
+    , rrSolverStates :: Map Word32 (AnyRigidNodeF TemplateId Word32)
+    , rrRegistry     :: Registry Word32
+    , rrSolved       :: Bool
+    , rrErrors       :: [Text]
+    } deriving (Show)
+
+instance ToJSON RefinedResult where
+    toJSON RefinedResult{..} = object [ "hotspots" .= rrHotspots, "solved" .= rrSolved, "errors" .= rrErrors ]
+
+data TaggedUnionInfo = TaggedUnionInfo
+    { tuiTagField   :: Text
+    , tuiUnionField :: Text
+    , tuiMembers    :: Map Text Text -- ^ EnumVal -> MemberName
+    } deriving (Show)
+
+-- | State for the refinement translator.
+data TranslatorState = TranslatorState
+    { tsNextId         :: Word32
+    , tsNodes          :: Map Word32 (AnyRigidNodeF TemplateId Word32)
+    , tsCache          :: Map (TS.TypeInfo 'TS.Global) Word32
+    , tsConstraints    :: [Constraint]
+    , tsCurrentPath    :: SymbolicPath
+    , tsVars           :: Map Text Word32
+    , tsFunctions      :: Map Text Word32
+    , tsTypeSystem     :: TS.TypeSystem
+    , tsTaggedUnions   :: Map Text TaggedUnionInfo
+    , tsArrayInstances :: Map (Word32, Integer) Word32
+    , tsExistentials   :: Map Text Word32
+    , tsCurrentReturn  :: Maybe Word32
+    , tsErrors         :: [Text]
+    , tsSubstCache     :: Map Word32 Word32
+    }
+
+-- Helper functions for record updates to assist GHC type inference
+addConstraint :: PathContext -> Word32 -> Word32 -> TranslatorState -> TranslatorState
+addConstraint ctx l r s = dtrace ("addConstraint: " ++ show l ++ " <: " ++ show r) $ s { tsConstraints = CSubtype l r PMeet emptyContext ctx 0 0 : tsConstraints s }
+
+-- | Safe numeric coercion for built-ins.
+-- If both types are numeric, we trust the standard TypeSystem and don't emit a refined constraint.
+addConstraintCoerced :: PathContext -> Word32 -> Word32 -> TranslatorState -> TranslatorState
+addConstraintCoerced ctx l r s =
+    let isNumeric nid = case Map.lookup nid (tsNodes s) of
+            Just (AnyRigidNodeF (RObject (VBuiltin bt) _)) -> bt /= NullPtrTy
+            Just (AnyRigidNodeF (RObject (VSingleton bt _) _)) -> bt /= NullPtrTy
+            _ -> False
+    in if isNumeric l && isNumeric r
+       then s -- Swallow pure numeric constraints
+       else addConstraint ctx l r s
+
+addNode :: Word32 -> AnyRigidNodeF TemplateId Word32 -> TranslatorState -> TranslatorState
+addNode nid node s = s { tsNodes = Map.insert nid node (tsNodes s) }
+
+addFunction :: Text -> Word32 -> TranslatorState -> TranslatorState
+addFunction name nid s = s { tsFunctions = Map.insert name nid (tsFunctions s) }
+
+addVar :: Text -> Word32 -> TranslatorState -> TranslatorState
+addVar name nid s = s { tsVars = Map.insert name nid (tsVars s) }
+
+addTaggedUnion :: Text -> TaggedUnionInfo -> TranslatorState -> TranslatorState
+addTaggedUnion name tu s = s { tsTaggedUnions = Map.insert name tu (tsTaggedUnions s) }
+
+emptyTranslatorState :: TS.TypeSystem -> TranslatorState
+emptyTranslatorState ts = TranslatorState
+    { tsNextId = 3
+    , tsNodes  = Map.fromList
+        [ (0, AnyRigidNodeF (RTerminal SBottom))
+        , (1, AnyRigidNodeF (RTerminal SAny))
+        , (2, AnyRigidNodeF (RTerminal SConflict))
+        ]
+    , tsCache  = Map.empty
+    , tsConstraints = []
+    , tsCurrentPath = emptyPath
+    , tsVars = Map.empty
+    , tsFunctions = Map.empty
+    , tsTypeSystem = ts
+    , tsTaggedUnions = Map.empty
+    , tsArrayInstances = Map.empty
+    , tsExistentials   = Map.empty
+    , tsCurrentReturn  = Nothing
+    , tsErrors = []
+    , tsSubstCache = Map.empty
+    }
diff --git a/src/Language/Cimple/Analysis/Refined/Inference/Utils.hs b/src/Language/Cimple/Analysis/Refined/Inference/Utils.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Inference/Utils.hs
@@ -0,0 +1,13 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Refined.Inference.Utils where
+
+import qualified Debug.Trace as Debug
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
diff --git a/src/Language/Cimple/Analysis/Refined/Lattice.hs b/src/Language/Cimple/Analysis/Refined/Lattice.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Lattice.hs
@@ -0,0 +1,27 @@
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE StrictData    #-}
+
+module Language.Cimple.Analysis.Refined.Lattice
+    ( SubtypeResult (..)
+    , NormalizationState (..)
+    ) where
+
+import           Data.Set                               (Set)
+import           GHC.Generics                           (Generic)
+import           Language.Cimple.Analysis.Refined.State (ProductState)
+
+-- | The result of a subtyping check (A <: B).
+-- Conditional results allow for deferred template constraint solving.
+data SubtypeResult
+    = IsSubtype
+    | NotSubtype
+    | ConditionalSubtype (Set ProductState) -- ^ Subtype if these pairs are also subtypes
+    deriving (Show, Eq, Ord, Generic)
+
+-- | State used during the 'packNode' (normalization) pass.
+-- Ensures logically impossible types collapse to SBottom.
+data NormalizationState = NormalizationState
+    { nsIsContradiction :: Bool
+    , nsReason          :: Maybe String
+    }
+    deriving (Show, Eq, Ord, Generic)
diff --git a/src/Language/Cimple/Analysis/Refined/LatticeOp.hs b/src/Language/Cimple/Analysis/Refined/LatticeOp.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/LatticeOp.hs
@@ -0,0 +1,32 @@
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE StrictData    #-}
+
+module Language.Cimple.Analysis.Refined.LatticeOp
+    ( Polarity (..)
+    , Variance (..)
+    , applyVariance
+    , flipPol
+    ) where
+
+import           GHC.Generics (Generic)
+
+-- | Polarity of the lattice operation.
+-- PJoin: Least Upper Bound (Union / Generalization)
+-- PMeet: Greatest Lower Bound (Intersection / Refinement)
+data Polarity = PJoin | PMeet
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+-- | Variance of a constructor parameter.
+data Variance = Covariant | Contravariant | Invariant
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+-- | Flips the polarity based on variance.
+-- Used when traversing contravariant positions (function arguments).
+applyVariance :: Variance -> Polarity -> Polarity
+applyVariance Covariant p     = p
+applyVariance Invariant _     = PMeet -- Invariance always forces refinement
+applyVariance Contravariant p = flipPol p
+
+flipPol :: Polarity -> Polarity
+flipPol PJoin = PMeet
+flipPol PMeet = PJoin
diff --git a/src/Language/Cimple/Analysis/Refined/PathContext.hs b/src/Language/Cimple/Analysis/Refined/PathContext.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/PathContext.hs
@@ -0,0 +1,75 @@
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE StrictData        #-}
+
+module Language.Cimple.Analysis.Refined.PathContext
+    ( PathContext (..)
+    , SymbolicPath (..)
+    , PathRoot (..)
+    , PathStep (..)
+    , ValueConstraint (..)
+    , emptyPath
+    , extendPath
+    , simplifyPath
+    ) where
+
+import           Data.Map.Strict (Map)
+import qualified Data.Map.Strict as Map
+import           Data.Text       (Text)
+import           GHC.Generics    (Generic)
+
+-- | The PathContext tracks the symbolic state of the program within a scope.
+-- It maps memory paths to their known refinements and tracks pointer aliases.
+data PathContext = PathContext
+    { pcRefinements :: Map SymbolicPath ValueConstraint
+    , pcAliases     :: Map Text SymbolicPath -- ^ Lexical Alias Tracking (m2 = m1)
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | A symbolic reference to a memory location or instance.
+data SymbolicPath = SymbolicPath
+    { spRoot  :: PathRoot
+    , spSteps :: [PathStep]
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Initial empty path.
+emptyPath :: SymbolicPath
+emptyPath = SymbolicPath (VarRoot "") []
+
+-- | Extends a symbolic path with a new step.
+extendPath :: PathStep -> SymbolicPath -> SymbolicPath
+extendPath step p = p { spSteps = spSteps p ++ [step] }
+
+-- | Simplifies nested paths (e.g., following an alias).
+simplifyPath :: Map Text SymbolicPath -> SymbolicPath -> SymbolicPath
+simplifyPath aliases p =
+    case spRoot p of
+        VarRoot v ->
+            case Map.lookup v aliases of
+                Just base ->
+                    -- Substitute root and prepend its steps
+                    SymbolicPath (spRoot base) (spSteps base ++ spSteps p)
+                Nothing -> p
+        _ -> p
+
+-- | The starting point of a symbolic path.
+data PathRoot
+    = VarRoot Text      -- ^ Local variable
+    | ParamRoot Int     -- ^ Function parameter (for inter-procedural mapping)
+    | InstanceRoot Integer -- ^ Absolute unique Instance ID
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Steps in a symbolic path.
+data PathStep
+    = FieldStep Text    -- ^ p->field
+    | IndexStep Integer -- ^ arr[0] (Literal)
+    | VarStep Text      -- ^ arr[i] (Symbolic index variable)
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Known symbolic values discovered via control flow (if/switch).
+data ValueConstraint
+    = EqConst Integer
+    | NotConst Integer
+    | EqVariant Integer -- ^ Index of the union member
+    deriving (Show, Eq, Ord, Generic)
diff --git a/src/Language/Cimple/Analysis/Refined/Registry.hs b/src/Language/Cimple/Analysis/Refined/Registry.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Registry.hs
@@ -0,0 +1,47 @@
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE StrictData    #-}
+
+module Language.Cimple.Analysis.Refined.Registry
+    ( Registry (..)
+    , TypeDefinition (..)
+    , Member (..)
+    ) where
+
+import           Data.Map.Strict                            (Map)
+import           Data.Text                                  (Text)
+import           GHC.Generics                               (Generic)
+import           Language.Cimple                            (Lexeme (..))
+import           Language.Cimple.Analysis.Refined.LatticeOp (Variance (..))
+import           Language.Cimple.Analysis.Refined.Types     (TemplateId)
+
+-- | The Registry stores the formal definitions of all nominal types.
+-- It is the source of truth for struct arity and structural links.
+data Registry a = Registry
+    { regDefinitions :: Map Text (TypeDefinition a)
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Formal definition of a Nominal type.
+data TypeDefinition a
+    = StructDef
+        { sdName       :: Lexeme Text
+        , sdParameters :: [(TemplateId, Variance)] -- ^ Structural parameters with variance
+        , sdMembers    :: [Member a]              -- ^ Internal fields
+        }
+    | UnionDef
+        { udName       :: Lexeme Text
+        , udParameters :: [(TemplateId, Variance)]
+        , udMembers    :: [Member a]
+        }
+    | EnumDef
+        { edName    :: Lexeme Text
+        , edMembers :: [Lexeme Text]
+        }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | A member field within a struct or union.
+data Member a = Member
+    { mName :: Lexeme Text
+    , mType :: a -- ^ Type reference (ID or Symbolic)
+    }
+    deriving (Show, Eq, Ord, Generic)
diff --git a/src/Language/Cimple/Analysis/Refined/SemanticEquality.hs b/src/Language/Cimple/Analysis/Refined/SemanticEquality.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/SemanticEquality.hs
@@ -0,0 +1,78 @@
+{-# LANGUAGE DataKinds  #-}
+{-# LANGUAGE GADTs      #-}
+{-# LANGUAGE StrictData #-}
+
+module Language.Cimple.Analysis.Refined.SemanticEquality
+    ( semEqStep
+    , semEqResult
+    ) where
+
+import           Data.Bifunctor                         (first)
+import qualified Data.List                              as List
+import           Data.Word                              (Word32)
+import qualified Language.Cimple                        as C
+import           Language.Cimple.Analysis.Refined.State (ProductState (..))
+import           Language.Cimple.Analysis.Refined.Types
+
+-- | Checks if a 'StepResult' matches an original node (by applying a selector to 'ProductState').
+-- Assumes both nodes are in canonical form (sorted collections).
+semEqStep :: Eq tid => AnyRigidNodeF tid ProductState -> (ProductState -> Word32) -> AnyRigidNodeF tid Word32 -> Bool
+semEqStep (AnyRigidNodeF n1) selector (AnyRigidNodeF n2) =
+    case (n1, n2) of
+        (RObject s1 q1, RObject s2 q2) -> q1 == q2 && semEqStepObj s1 selector s2
+        (RReference r1 n1' o1 q1, RReference r2 n2' o2 q2) ->
+            n1' == n2' && o1 == o2 && q1 == q2 && semEqStepRef r1 selector r2
+        (RFunction a1 r1, RFunction a2 r2) ->
+            length a1 == length a2 &&
+            all (\(ps, expected) -> selector ps == expected) (zip a1 a2) &&
+            semEqStepRet r1 selector r2
+        (RTerminal t1, RTerminal t2) -> semEqTerminal t1 selector t2
+        _ -> False
+
+semEqTerminal :: TerminalNode ProductState -> (ProductState -> Word32) -> TerminalNode Word32 -> Bool
+semEqTerminal SBottom _ SBottom = True
+semEqTerminal SAny        _ SAny        = True
+semEqTerminal SConflict   _ SConflict   = True
+semEqTerminal (STerminal ps) selector (STerminal expected) = selector ps == expected
+semEqTerminal _ _ _ = False
+
+semEqStepObj :: Eq tid => ObjectStructure tid ProductState -> (ProductState -> Word32) -> ObjectStructure tid Word32 -> Bool
+semEqStepObj s1 selector s2 = case (s1, s2) of
+    (VBuiltin b1, VBuiltin b2) -> b1 == b2
+    (VSingleton b1 v1, VSingleton b2 v2) -> b1 == b2 && v1 == v2
+    (VNominal n1 p1, VNominal n2 p2) ->
+        C.lexemeText n1 == C.lexemeText n2 && length p1 == length p2 && all (\(ps, expected) -> selector ps == expected) (zip p1 p2)
+    (VEnum n1, VEnum n2) -> C.lexemeText n1 == C.lexemeText n2
+    (VVar t1 i1, VVar t2 i2) -> t1 == t2 && i1 == i2
+    (VExistential ts1 b1, VExistential ts2 b2) -> ts1 == ts2 && selector b1 == b2
+    (VVariant m1, VVariant m2) ->
+        fmap selector m1 == m2
+    (VProperty a1 pk1, VProperty a2 pk2) -> pk1 == pk2 && selector a1 == a2
+    (VSizeExpr m1, VSizeExpr m2) ->
+        List.sortOn fst (map (first selector) m1) == List.sortOn fst m2
+    _ -> False
+
+semEqStepRef :: Eq tid => RefStructure tid ProductState -> (ProductState -> Word32) -> RefStructure tid Word32 -> Bool
+semEqStepRef r1 selector r2 = case (r1, r2) of
+    (Arr e1 d1, Arr e2 d2) ->
+        selector e1 == e2 && length d1 == length d2 && all (\(ps, expected) -> selector ps == expected) (zip d1 d2)
+    (Ptr p1, Ptr p2) -> semEqStepPtr p1 selector p2
+    _ -> False
+
+semEqStepPtr :: Eq tid => PtrTarget tid ProductState -> (ProductState -> Word32) -> PtrTarget tid Word32 -> Bool
+semEqStepPtr p1 selector p2 = case (p1, p2) of
+    (TargetObject o1, TargetObject o2) -> selector o1 == o2
+    (TargetFunction a1 r1, TargetFunction a2 r2) ->
+        length a1 == length a2 && all (\(ps, expected) -> selector ps == expected) (zip a1 a2) && semEqStepRet r1 selector r2
+    (TargetOpaque t1, TargetOpaque t2) -> t1 == t2
+    _ -> False
+
+semEqStepRet :: ReturnType ProductState -> (ProductState -> Word32) -> ReturnType Word32 -> Bool
+semEqStepRet r1 selector r2 = case (r1, r2) of
+    (RetVal v1, RetVal v2) -> selector v1 == v2
+    (RetVoid, RetVoid)     -> True
+    _                      -> False
+
+-- | Checks if two 'StepResult's are semantically equal (canonicalizing order/duplicates).
+semEqResult :: Eq tid => AnyRigidNodeF tid ProductState -> AnyRigidNodeF tid ProductState -> Bool
+semEqResult = (==) -- Results are guaranteed canonical by 'step'
diff --git a/src/Language/Cimple/Analysis/Refined/Solver.hs b/src/Language/Cimple/Analysis/Refined/Solver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Solver.hs
@@ -0,0 +1,175 @@
+{-# LANGUAGE BangPatterns        #-}
+{-# LANGUAGE DeriveGeneric       #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE StrictData          #-}
+module Language.Cimple.Analysis.Refined.Solver
+    ( TypeSummary (..)
+    , SolverEnv (..)
+    , FilterResult (..)
+    , Constraint (..)
+    , solve
+    , runWorklist
+    ) where
+
+import           Data.IntMap.Strict                           (IntMap)
+import qualified Data.IntMap.Strict                           as IntMap
+import           Data.List                                    (find)
+import           Data.Map.Strict                              (Map)
+import qualified Data.Map.Strict                              as Map
+import           Data.Set                                     (Set)
+import qualified Data.Set                                     as Set
+import           Data.Text                                    (Text)
+import           Data.Word                                    (Word32)
+import qualified Debug.Trace                                  as Debug
+import           GHC.Generics                                 (Generic)
+import           Language.Cimple.Analysis.Refined.Context     (MappingContext, MappingRefinements (..),
+                                                               deleteRefinement,
+                                                               emptyContext,
+                                                               emptyRefinements,
+                                                               mrHash,
+                                                               setRefinement)
+import           Language.Cimple.Analysis.Refined.LatticeOp   (Polarity (..))
+import           Language.Cimple.Analysis.Refined.PathContext (PathContext (..),
+                                                               emptyPath)
+import           Language.Cimple.Analysis.Refined.Registry    (Registry)
+import           Language.Cimple.Analysis.Refined.State       (ProductState (..))
+import           Language.Cimple.Analysis.Refined.Transition  (TransitionEnv (..),
+                                                               isRefinable,
+                                                               step,
+                                                               variableKey)
+import           Language.Cimple.Analysis.Refined.Types       (AnyRigidNodeF (..),
+                                                               ObjectStructure (..),
+                                                               RigidNodeF (..),
+                                                               TemplateId,
+                                                               TerminalNode (..))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+-- | A compact representation of a solved SCC's refined type information.
+-- Used to isolate SCCs and enable incremental compilation.
+data TypeSummary = TypeSummary
+    { tsExportedTypes :: Map Text (AnyRigidNodeF TemplateId Int)
+    -- ^ Map of names to their canonical refined type structure IDs.
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Environment for the project-wide Refined Solver.
+data SolverEnv = SolverEnv
+    { seSummaries :: Map Text TypeSummary
+    -- ^ Cached summaries from already-solved SCCs.
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Result of the Refinement Filter (linear symbolic pass).
+-- Identifies which fragments of the project require the rigorous graph solver.
+data FilterResult = FilterResult
+    { frRequiresRigorousSolver :: Bool
+    -- ^ True if the code contains Refinement Triggers (Existentials, Tagged Unions).
+    , frHotspots               :: [Text]
+    -- ^ Names of functions/structs identified as hotspots.
+    }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | A subtyping constraint to be solved.
+data Constraint
+    = CSubtype Word32 Word32 Polarity MappingContext PathContext Int Int
+    | CInherit Word32 Word32 -- ^ Left inherits refinements from Right (one-way PMeet)
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Executes the project-wide fixpoint solver on a set of constraints.
+solve :: Registry Word32
+      -> Map Word32 (AnyRigidNodeF TemplateId Word32)
+      -> [Constraint]
+      -> (Word32, Word32, Word32, Word32) -- ^ (Bottom, Any, Conflict, STerminal) IDs
+      -> (Bool, MappingRefinements)
+solve registry nodes constraints terminals =
+    let initialWorklist = Set.fromList [ ProductState l r pol False gamma dL dR Nothing | CSubtype l r pol gamma _ dL dR <- constraints ]
+                       <> Set.fromList [ ProductState l r PMeet True emptyContext 0 0 Nothing | CInherit l r <- constraints ]
+    in runWorklist registry nodes constraints terminals emptyRefinements initialWorklist Set.empty
+
+terminalToId :: TerminalNode a -> (Word32, Word32, Word32, Word32) -> Maybe Word32
+terminalToId term (bot, any', conflict, _) = case term of
+    SBottom     -> Just bot
+    SAny        -> Just any'
+    SConflict   -> Just conflict
+    STerminal{} -> Nothing
+
+-- | Core worklist loop for the Product Automaton.
+-- Only moves UP the lattice. Restarts on refinement changes to ensure consistency.
+runWorklist :: Registry Word32
+            -> Map Word32 (AnyRigidNodeF TemplateId Word32)
+            -> [Constraint]
+            -> (Word32, Word32, Word32, Word32)
+            -> MappingRefinements
+            -> Set ProductState
+            -> Set ProductState
+            -> (Bool, MappingRefinements)
+runWorklist registry nodes constraints terminals !refs worklist visited
+    | Set.null worklist = (True, refs)
+    | otherwise =
+        let (ps, rest) = Set.deleteFindMin worklist
+        in if ps `Set.member` visited
+           then runWorklist registry nodes constraints terminals refs rest visited
+           else dtrace ("solve step: " ++ show ps) $
+               let isMatch = \case
+                       CSubtype l' r' pol' gamma' _ dL' dR' ->
+                           psNodeL ps == l' && psNodeR ps == r' && psPolarity ps == pol' &&
+                           not (psOneWay ps) &&
+                           psGamma ps == gamma' && psDepthL ps == dL' && psDepthR ps == dR'
+                       CInherit l' r' ->
+                           psNodeL ps == l' && psNodeR ps == r' && psPolarity ps == PMeet &&
+                           psOneWay ps &&
+                           psGamma ps == emptyContext && psDepthL ps == 0 && psDepthR ps == 0
+                   mCtx = find isMatch constraints
+                   pathCtx = case mCtx of
+                       Just (CSubtype _ _ _ _ c _ _) -> c
+                       _                             -> PathContext Map.empty Map.empty
+                   (refineL, refineR) = (True, not (psOneWay ps))
+                   env = TransitionEnv nodes registry (psPolarity ps) pathCtx emptyPath terminals refineL refineR
+
+                   -- Special handling for CInherit: Don't refine psNodeR
+                   (result, !newRefs) = step env ps refs
+
+               in dtrace ("solve step: " ++ show ps ++ " -> res: " ++ show result) $ case result of
+                   AnyRigidNodeF (RTerminal SConflict) -> (False, refs)
+                   AnyRigidNodeF (RTerminal term) | Just termId <- terminalToId term terminals ->
+                       let refsParent = case psParentVar ps of
+                               Just (d, tid) | psPolarity ps == PMeet ->
+                                   dtrace ("Refining Parent " ++ show tid ++ " at depth " ++ show d ++ " to " ++ show termId) $
+                                   setRefinement (variableKey nodes d tid) termId newRefs
+                               _ -> newRefs
+                           refsL = case Map.lookup (psNodeL ps) nodes of
+                               Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && psPolarity ps == PMeet && refineL ->
+                                   dtrace ("Refining L " ++ show tid ++ " to " ++ show termId) $
+                                   setRefinement (variableKey nodes (psDepthL ps) tid) termId refsParent
+                               _ -> refsParent
+                           refsR = case Map.lookup (psNodeR ps) nodes of
+                               Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && psPolarity ps == PMeet && refineR ->
+                                   dtrace ("Refining R " ++ show tid ++ " to " ++ show termId) $
+                                   setRefinement (variableKey nodes (psDepthR ps) tid) termId refsL
+                               _ -> refsL
+                       in if mrHash refsR /= mrHash refs
+                          then let topLevel = Set.fromList [ ProductState l' r' pol' False gamma' dL' dR' Nothing | CSubtype l' r' pol' gamma' _ dL' dR' <- constraints ]
+                                           <> Set.fromList [ ProductState l' r' PMeet True emptyContext 0 0 Nothing | CInherit l' r' <- constraints ]
+                                   newWorklist = Set.unions [rest, topLevel, Set.fromList (foldMap (:[]) (AnyRigidNodeF (RTerminal term)))]
+                               in runWorklist registry nodes constraints terminals refsR newWorklist Set.empty
+                          else let children = Set.fromList $ foldMap (:[]) (AnyRigidNodeF (RTerminal term))
+                                   newWorklist = Set.union rest children
+                               in runWorklist registry nodes constraints terminals refsR newWorklist (Set.insert ps visited)
+                   AnyRigidNodeF n ->
+                       if mrHash newRefs /= mrHash refs
+                       then -- Refinements changed! Re-add all top-level constraints and CLEAR visited set.
+                            let topLevel = Set.fromList [ ProductState l' r' pol' False gamma' dL' dR' Nothing | CSubtype l' r' pol' gamma' _ dL' dR' <- constraints ]
+                                        <> Set.fromList [ ProductState l' r' PMeet True emptyContext 0 0 Nothing | CInherit l' r' <- constraints ]
+                                newWorklist = Set.unions [rest, topLevel, Set.fromList (foldMap (:[]) n)]
+                            in runWorklist registry nodes constraints terminals newRefs newWorklist Set.empty
+                       else
+                           let children = Set.fromList $ foldMap (:[]) n
+                               newWorklist = Set.union rest children
+                           in runWorklist registry nodes constraints terminals refs newWorklist (Set.insert ps visited)
diff --git a/src/Language/Cimple/Analysis/Refined/State.hs b/src/Language/Cimple/Analysis/Refined/State.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/State.hs
@@ -0,0 +1,32 @@
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE StrictData    #-}
+
+module Language.Cimple.Analysis.Refined.State
+    ( ProductState (..)
+    ) where
+
+import           Data.Word                                  (Word32)
+import           GHC.Generics                               (Generic)
+import           Language.Cimple.Analysis.Refined.Context   (MappingContext (..),
+                                                             MappingRefinements (..))
+import           Language.Cimple.Analysis.Refined.LatticeOp (Polarity (..))
+import           Language.Cimple.Analysis.Refined.Types     (TemplateId)
+
+-- | The optimized state for the Product Automaton memoization table.
+--
+-- Field ordering is optimized for 'Ord': Node IDs are checked first as they
+-- are the most likely to differ, followed by the polarity, context, and refinements.
+--
+-- Using primitive Word32 IDs and a bitfield-compressed context
+-- enables register-level integer comparisons for O(1) state identification.
+data ProductState = ProductState
+    { psNodeL     :: Word32             -- ^ ID of the node in the left graph
+    , psNodeR     :: Word32             -- ^ ID of the node in the right graph
+    , psPolarity  :: Polarity           -- ^ Current operation (Join/Meet)
+    , psOneWay    :: Bool               -- ^ True if this is a one-way inheritance (L inherits from R)
+    , psGamma     :: {-# UNPACK #-} MappingContext     -- ^ Alpha-equivalent mapping context
+    , psDepthL    :: {-# UNPACK #-} Int                -- ^ Absolute depth in left graph
+    , psDepthR    :: {-# UNPACK #-} Int                -- ^ Absolute depth in right graph
+    , psParentVar :: Maybe (Int, TemplateId)           -- ^ (Depth, Tid) of variable that triggered this sub-problem
+    }
+    deriving (Show, Eq, Ord, Generic)
diff --git a/src/Language/Cimple/Analysis/Refined/Transition.hs b/src/Language/Cimple/Analysis/Refined/Transition.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Transition.hs
@@ -0,0 +1,1115 @@
+{-# LANGUAGE BangPatterns      #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE StrictData        #-}
+{-# LANGUAGE TupleSections     #-}
+
+module Language.Cimple.Analysis.Refined.Transition
+    ( TransitionEnv (..)
+    , StepResult
+    , step
+    , isRefinable
+    , isParameter
+    , isBot
+    , isTop
+    , isNonnull
+    , variableKey
+    ) where
+
+import           Control.Applicative                          ((<|>))
+import           Control.Monad                                (zipWithM)
+import           Data.Bits                                    ((.&.), (.|.))
+import qualified Data.Char                                    as Char
+import           Data.Hashable                                (hash)
+import qualified Data.IntMap.Merge.Strict                     as IntMap
+import           Data.IntMap.Strict                           (IntMap)
+import qualified Data.IntMap.Strict                           as IntMap
+import qualified Data.List                                    as List
+import qualified Data.Map.Merge.Strict                        as Map
+import           Data.Map.Strict                              (Map)
+import qualified Data.Map.Strict                              as Map
+import           Data.Maybe                                   (fromJust,
+                                                               fromMaybe,
+                                                               isJust,
+                                                               isNothing)
+import           Data.Set                                     (Set)
+import qualified Data.Set                                     as Set
+import           Data.Text                                    (Text)
+import qualified Data.Text                                    as T
+import           Data.Word                                    (Word16, Word32)
+import qualified Debug.Trace                                  as Debug
+import           Language.Cimple                              (Lexeme (..))
+import qualified Language.Cimple                              as C
+import           Language.Cimple.Analysis.Refined.Context     (MappingContext, MappingRefinements (..),
+                                                               emptyRefinements,
+                                                               getMapping,
+                                                               getRefinement,
+                                                               pushMapping,
+                                                               setRefinement)
+import           Language.Cimple.Analysis.Refined.LatticeOp   (Polarity (..),
+                                                               Variance (..),
+                                                               applyVariance)
+import           Language.Cimple.Analysis.Refined.PathContext (PathContext (..),
+                                                               SymbolicPath,
+                                                               ValueConstraint (..))
+import           Language.Cimple.Analysis.Refined.Registry    (Member (..),
+                                                               Registry (..),
+                                                               TypeDefinition (..))
+import           Language.Cimple.Analysis.Refined.State       (ProductState (..))
+import           Language.Cimple.Analysis.Refined.Types       (AnyRigidNodeF (..),
+                                                               Index (..),
+                                                               LatticePhase (..),
+                                                               Nullability (..),
+                                                               ObjectStructure (..),
+                                                               Ownership (..),
+                                                               PropertyKind (..),
+                                                               PtrTarget (..),
+                                                               Quals (..),
+                                                               RefStructure (..),
+                                                               ReturnType (..),
+                                                               RigidNodeF (..),
+                                                               StdType (..),
+                                                               TemplateId (..),
+                                                               TerminalNode (..))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+-- | Deterministic, Node ID-invariant identifier for a node.
+getStableNodeIdent :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> Word32 -> (Int, Int)
+getStableNodeIdent nodes i = getStableNodeIdent' Set.empty nodes i
+
+getStableNodeIdent' :: Set Word32 -> Map Word32 (AnyRigidNodeF TemplateId Word32) -> Word32 -> (Int, Int)
+getStableNodeIdent' visited nodes i
+    | Set.member i visited = (13 :: Int, 0 :: Int) -- Cycle detected
+    | otherwise = case Map.lookup i nodes of
+        Just (AnyRigidNodeF (RObject s _)) ->
+            case s of
+                VNominal l ps -> (0 :: Int, hash (C.lexemeText l, map (getStableNodeIdent' (Set.insert i visited) nodes) ps))
+                VBuiltin bt  -> (1 :: Int, fromEnum bt)
+                VVar tid _   -> (2 :: Int, hashTemplateId' (Set.insert i visited) nodes tid)
+                VEnum l      -> (3 :: Int, hash (C.lexemeText l))
+                VSingleton _ val -> (4 :: Int, fromIntegral (val .&. 0xFFFFFFFF))
+                VExistential ts b -> (5 :: Int, hash (ts, getStableNodeIdent' (Set.insert i visited) nodes b))
+                VVariant m -> (6 :: Int, hash (IntMap.keys m))
+                VProperty _ pk -> (7 :: Int, hash pk)
+                VSizeExpr ts -> (8 :: Int, hash (map snd ts))
+        Just (AnyRigidNodeF (RReference r _ _ _)) ->
+            let rIdent = case r of { Arr _ _ -> 0 :: Int; Ptr _ -> 1 :: Int }
+            in (9 :: Int, rIdent)
+        Just (AnyRigidNodeF (RFunction _ _))      -> (10 :: Int, 0 :: Int)
+        Just (AnyRigidNodeF (RTerminal t))         ->
+            let tIdent = case t of { SBottom -> 0 :: Int; SAny -> 1 :: Int; SConflict -> 2 :: Int; STerminal _ -> 3 :: Int }
+            in (11 :: Int, tIdent)
+        _ -> (12 :: Int, fromIntegral i)
+
+-- | Stable comparison for TemplateId that ignores Node IDs where possible.
+hashTemplateId :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> TemplateId -> Int
+hashTemplateId nodes tid = hashTemplateId' Set.empty nodes tid
+
+hashTemplateId' :: Set Word32 -> Map Word32 (AnyRigidNodeF TemplateId Word32) -> TemplateId -> Int
+hashTemplateId' visited nodes = \case
+    TIdName t      -> hash (0 :: Int, t)
+    TIdParam p i _ -> hash (1 :: Int, p, i)
+    TIdSkolem l r i -> hash (2 :: Int, i, getStableNodeIdent' visited nodes l, getStableNodeIdent' visited nodes r)
+    TIdInstance i  -> hash (3 :: Int, i)
+    TIdDeBruijn i  -> hash (4 :: Int, i)
+
+getQuals :: AnyRigidNodeF tid a -> Quals
+getQuals = \case
+    AnyRigidNodeF (RObject _ q)         -> q
+    AnyRigidNodeF (RReference _ _ _ q)  -> q
+    AnyRigidNodeF (RFunction _ _)       -> Quals False
+    AnyRigidNodeF (RTerminal _)         -> Quals False
+
+isObject :: RigidNodeF k tid a -> Bool
+isObject = \case
+    RObject{} -> True
+    _         -> False
+
+-- | DETERMINISTIC comparison of TemplateIds to ensure commutativity and stable variable choice.
+stableCompareTID :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> TemplateId -> TemplateId -> Ordering
+stableCompareTID nodes tid1 tid2 = compare (tidIdent' Set.empty tid1) (tidIdent' Set.empty tid2)
+  where
+    tidIdent' :: Set Word32 -> TemplateId -> (Int, Int, Int, Int)
+    tidIdent' visited = \case
+        TIdName t       -> (0 :: Int, hash t, 0, 0)
+        TIdParam p i _  -> (1 :: Int, fromIntegral i, fromEnum p, 0)
+        TIdSkolem l r i ->
+            let (cL, vL) = getStableNodeIdent' visited nodes l
+                (cR, vR) = getStableNodeIdent' visited nodes r
+            in (2 :: Int, fromIntegral i, hash (cL, vL), hash (cR, vR))
+        TIdInstance i   -> (3 :: Int, fromIntegral (i .&. 0xFFFFFFFF), 0, 0)
+        TIdDeBruijn i   -> (4 :: Int, fromIntegral i, 0, 0)
+
+-- | The environment for a single step of the Product Automaton.
+data TransitionEnv a = TransitionEnv
+    { teNodes       :: Map Word32 (AnyRigidNodeF TemplateId a)
+    -- ^ The type graph segment being solved
+    , teRegistry    :: Registry a
+    -- ^ Source of truth for nominal type members
+    , tePolarity    :: Polarity
+    -- ^ Join or Meet
+    , tePathCtx     :: PathContext
+    -- ^ Local symbolic state for refinement projection
+    , teCurrentPath :: SymbolicPath
+    -- ^ Current symbolic cursor (e.g., p->tag)
+    , teTerminals   :: (a, a, a, a)
+    -- ^ (Bottom, Any, Conflict, STerminal) IDs for the graph
+    , teRefineL     :: Bool
+    -- ^ Whether psNodeL can be refined
+    , teRefineR     :: Bool
+    -- ^ Whether psNodeR can be refined
+    }
+    deriving (Show, Eq, Ord)
+
+-- | The result of a transition step.
+-- Maps to a node where each child is a 'ProductState' (L_id, R_id, Gamma).
+type StepResult = AnyRigidNodeF TemplateId ProductState
+
+getEffectiveNode :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> (Word32, Maybe (AnyRigidNodeF TemplateId Word32))
+getEffectiveNode nodes refs depth i = case Map.lookup i nodes of
+    Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid ->
+        case getRefinement (variableKey nodes depth tid) refs of
+            Just refinedId | refinedId /= i ->
+                dtrace ("getEffectiveNode: following " ++ show i ++ " (" ++ show tid ++ ") -> " ++ show refinedId) $
+                getEffectiveNode nodes refs depth refinedId
+            _               -> (i, Map.lookup i nodes)
+    n -> (i, n)
+
+getEffectiveObject :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Maybe (ObjectStructure TemplateId Word32)
+getEffectiveObject nodes refs depth rId = case snd $ getEffectiveNode nodes refs depth rId of
+    Just (AnyRigidNodeF (RObject s _)) ->
+        case s of
+            VBuiltin bt       -> Just (VBuiltin bt)
+            VSingleton bt v   -> Just (VSingleton bt v)
+            VNominal l ps     -> Just (VNominal (fmap id l) ps)
+            VEnum l           -> Just (VEnum (fmap id l))
+            VVar tid idx      -> Just (VVar (id tid) (fmap (fmap id) idx))
+            VExistential ts b -> Just (VExistential (map id ts) b)
+            VVariant m        -> Just (VVariant m)
+            VProperty a pk    -> Just (VProperty a pk)
+            VSizeExpr ts      -> Just (VSizeExpr ts)
+    _ -> Nothing
+
+isNull :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isNull nodes refs depth i = case snd $ getEffectiveNode nodes refs depth i of
+    Just (AnyRigidNodeF (RObject (VBuiltin NullPtrTy) _)) -> True
+    Just (AnyRigidNodeF (RTerminal SBottom))              -> True
+    _                                                     -> False
+
+isBot :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isBot nodes refs depth i = isBot' Set.empty nodes refs depth i
+
+isBot' :: Set Word32 -> Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isBot' visited nodes refs depth i
+    | Set.member i visited = False
+    | otherwise = case snd $ getEffectiveNode nodes refs depth i of
+        Just (AnyRigidNodeF n) ->
+            case n of
+                RTerminal SBottom                      -> True
+                RObject (VBuiltin NullPtrTy) _         -> True
+                RObject (VVariant m) _ | IntMap.null m -> True
+                _ -> any (isBot' (Set.insert i visited) nodes refs depth) n
+        _ -> False
+
+isTop :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isTop nodes refs depth i = isTop' Set.empty nodes refs depth i
+
+isTop' :: Set Word32 -> Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isTop' visited nodes refs depth i
+    | Set.member i visited = False
+    | otherwise = case snd $ getEffectiveNode nodes refs depth i of
+        Just (AnyRigidNodeF n) ->
+            let selfTop = case n of
+                    RTerminal SConflict -> True
+                    RReference (Ptr (TargetObject t)) QNonnull' _ _ -> isBot nodes refs depth t
+                    RReference (Arr e _) QNonnull' _ _ -> isBot nodes refs depth e
+                    _ -> False
+            in selfTop || any (isTop' (Set.insert i visited) nodes refs depth) n
+        _ -> False
+
+isNonnull :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> MappingRefinements -> Int -> Word32 -> Bool
+isNonnull nodes refs depth i = case snd $ getEffectiveNode nodes refs depth i of
+    Just (AnyRigidNodeF (RReference _ QNonnull' _ _)) -> True
+    Just (AnyRigidNodeF (RFunction _ _))              -> True
+    _                                                 -> False
+
+-- | Handles mismatched categories in the Product Automaton.
+stepMismatch :: Polarity -> MappingRefinements -> (StepResult, MappingRefinements)
+stepMismatch pol refs = case pol of
+    PJoin -> (AnyRigidNodeF (RTerminal SAny), refs) -- Generalize to Top
+    PMeet -> (AnyRigidNodeF (RTerminal SConflict), refs) -- Conflict during refinement
+
+-- | Handles function cases in the Product Automaton.
+stepFunction :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (StepResult, MappingRefinements)
+stepFunction env ps refs nodeL nodeR =
+    let gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+    in case (nodeL, nodeR) of
+        (Just (AnyRigidNodeF (RFunction aL rL)), Just (AnyRigidNodeF (RFunction aR rR))) ->
+            if length aL /= length aR
+               then Just (AnyRigidNodeF (RTerminal SConflict), refs)
+               else
+                   let (refs1, aStates) = refineParams env pol oneWay gamma depthL depthR (psParentVar ps) refs (replicate (length aL) Contravariant) aL aR
+                       (newRefs, mRet) = refineReturnType env pol oneWay gamma depthL depthR (psParentVar ps) refs1 rL rR
+                   in case mRet of
+                       Just ret -> Just (AnyRigidNodeF (RFunction aStates ret), newRefs)
+                       Nothing  -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> Nothing
+
+-- | Handles reference cases (pointers and arrays) in the Product Automaton.
+stepReference :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (StepResult, MappingRefinements)
+stepReference env ps refs nodeL nodeR =
+    let nodes = teNodes env
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+    in case (nodeL, nodeR) of
+        (Just (AnyRigidNodeF (RReference sL nL oL qL)), Just (AnyRigidNodeF (RReference sR nR oR qR))) ->
+            let qRes = Quals $ case pol of
+                    PJoin -> qConst qL || qConst qR
+                    PMeet -> qConst qL && qConst qR
+                nRes = case pol of
+                    PJoin -> max nL nR
+                    PMeet -> min nL nR
+                oRes = case pol of
+                    PJoin -> min oL oR -- Join(Owned, NonOwned) = NonOwned
+                    PMeet -> max oL oR -- Meet(Owned, NonOwned) = Owned
+            in case (sL, sR) of
+                (Ptr pL, Ptr pR) ->
+                    let isTargetBot' d  = \case { TargetObject i -> isBot nodes refs d i; _ -> False }
+                        isTargetTop' d  = \case { TargetObject i -> isTop nodes refs d i; _ -> False }
+                        -- Lattice: Ptr(Bottom) = Bottom, Ptr(Conflict) = Conflict
+                        resIsConflict = case pol of
+                            PJoin -> isTargetTop' depthL pL || isTargetTop' depthR pR
+                            PMeet -> isTargetTop' depthL pL || isTargetTop' depthR pR
+                        resIsBot = case pol of
+                            PMeet -> isTargetBot' depthL pL || isTargetBot' depthR pR
+                            PJoin -> isTargetBot' depthL pL && isTargetBot' depthR pR
+
+                        -- Contradiction check: Nonnull pointer to NULL.
+                        isNonnullContradiction = pol == PMeet &&
+                            ( (nL == QNonnull' && isBot nodes refs depthR (psNodeR ps))
+                            || (nR == QNonnull' && isBot nodes refs depthL (psNodeL ps))
+                            || (nL == QNonnull' && isTargetBot' depthL pL)
+                            || (nR == QNonnull' && isTargetBot' depthR pR) )
+
+                    in dtrace ("step RReference: isNonnullContra=" ++ show isNonnullContradiction ++ " resIsBot=" ++ show resIsBot ++ " resIsConflict=" ++ show resIsConflict) $
+                       if isNonnullContradiction || resIsConflict
+                       then Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                       else if resIsBot then Just (AnyRigidNodeF (RTerminal SBottom), refs)
+                       else
+                           let (mTarget, newRefs) = stepPtrTarget env pol oneWay (psNodeL ps) (psNodeR ps) pL pR gamma depthL depthR (psParentVar ps) refs
+                           in case mTarget of
+                               Just target -> Just (AnyRigidNodeF (RReference (Ptr target) nRes oRes qRes), newRefs)
+                               Nothing     -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                (Arr eL dL, Arr eR dR) ->
+                    let resIsBot = case pol of
+                            PMeet -> isBot nodes refs depthL eL || isBot nodes refs depthR eR
+                            PJoin -> isBot nodes refs depthL eL && isBot nodes refs depthR eR
+                        resIsTop = case pol of
+                            PJoin -> isTop nodes refs depthL eL || isTop nodes refs depthR eR
+                            PMeet -> isTop nodes refs depthL eL && isTop nodes refs depthR eR
+                    in if resIsBot then Just (AnyRigidNodeF (RTerminal SBottom), refs)
+                    else if resIsTop then Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                    else if length dL /= length dR then Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                    else
+                        let (refs1, eStates) = refineParams env pol oneWay gamma depthL depthR (psParentVar ps) refs [Covariant] [eL] [eR]
+                            (newRefs, dStates) = refineParams env pol oneWay gamma depthL depthR (psParentVar ps) refs1 (replicate (length dL) Covariant) dL dR
+                        in case eStates of
+                            [eState] -> Just (AnyRigidNodeF (RReference (Arr eState dStates) nRes oRes qRes), newRefs)
+                            _        -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                _ -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> Nothing
+
+-- | Handles object structure cases in the Product Automaton.
+stepObject :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (StepResult, MappingRefinements)
+stepObject env ps refs nodeL nodeR =
+    let nodes = teNodes env
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+        next rL rR = ProductState rL rR pol oneWay gamma depthL depthR (psParentVar ps)
+    in case (nodeL, nodeR) of
+        (Just (AnyRigidNodeF (RObject sL qL)), Just (AnyRigidNodeF (RObject sR qR))) ->
+            let qRes = Quals $ case pol of
+                    PJoin -> qConst qL || qConst qR
+                    PMeet -> qConst qL && qConst qR
+
+                isContradiction = (not (qConst qL) && isPhysicalConst sL) ||
+                                  (not (qConst qR) && isPhysicalConst sR) ||
+                                  (not (qConst qRes) && (isPhysicalConst sL || isPhysicalConst sR))
+
+            in dtrace ("step RObject: sL=" ++ show (fmap (const ()) sL) ++ " qL=" ++ show qL ++ " sR=" ++ show (fmap (const ()) sR) ++ " qR=" ++ show qR ++ " pol=" ++ show pol ++ " isContra=" ++ show isContradiction) $
+               if isContradiction then Just (AnyRigidNodeF (RTerminal SConflict), refs)
+               else if isNull nodes refs depthL (psNodeL ps) then
+                   case pol of
+                       PJoin -> Just (AnyRigidNodeF (RObject (fmap (\i -> next i i) sR) qRes), refs)
+                       PMeet -> Just (AnyRigidNodeF (RObject (fmap (\i -> next i i) sL) qRes), refs)
+               else if isNull nodes refs depthR (psNodeR ps) then
+                   case pol of
+                       PJoin -> Just (AnyRigidNodeF (RObject (fmap (\i -> next i i) sL) qRes), refs)
+                       PMeet -> Just (AnyRigidNodeF (RObject (fmap (\i -> next i i) sR) qRes), refs)
+               else case (sL, sR) of
+                (VVar tidL idxL, VVar tidR idxR) ->
+                    -- Check alpha-equivalence via MappingContext
+                    let eqTid l' r' = case (l', r') of
+                            (TIdDeBruijn iL, TIdDeBruijn iR) ->
+                                case getMapping (fromIntegral iL) gamma of
+                                    Just iR' -> fromIntegral iR' == iR
+                                    Nothing  -> iL == iR -- Free variable
+                            _ -> l' == r'
+                        eqIdx l' r' = case (l', r') of
+                            (Just (ILit iL), Just (ILit iR)) -> iL == iR
+                            (Just (IVar tL), Just (IVar tR)) -> eqTid tL tR
+                            (Nothing, Nothing)               -> True
+                            _                                -> False
+                    in if eqTid tidL tidR
+                       then if eqIdx idxL idxR
+                            then Just (AnyRigidNodeF (RObject (VVar tidL idxL) qRes), refs)
+                            else Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                       else case (isRefinable tidL && teRefineL env, isRefinable tidR && teRefineR env) of
+                           (True, True) ->
+                               let keyL = variableKey (teNodes env) depthL tidL
+                                   keyR = variableKey (teNodes env) depthR tidR
+                               in case (getRefinement keyL refs, getRefinement keyR refs) of
+                                   (Just oldL, _) | oldL /= psNodeL ps ->
+                                       Just (AnyRigidNodeF (RTerminal (STerminal $ ProductState oldL (psNodeR ps) pol oneWay gamma depthL depthR (psParentVar ps))), refs)
+                                   (_, Just oldR) | oldR /= psNodeR ps ->
+                                       Just (AnyRigidNodeF (RTerminal (STerminal $ ProductState (psNodeL ps) oldR pol oneWay gamma depthL depthR (psParentVar ps))), refs)
+                                   _ ->
+                                       -- Symmetric variable choice for commutativity and ID invariance.
+                                       let (resTid, resIdx, !newRefs) =
+                                               if stableCompareTID (teNodes env) tidL tidR == LT
+                                               then (tidL, idxL, setRefinement keyR (psNodeL ps) refs)
+                                               else (tidR, idxR, setRefinement keyL (psNodeR ps) refs)
+                                       in Just (AnyRigidNodeF (RObject (VVar resTid resIdx) qRes), newRefs)
+                           (True, False) ->
+                               -- One-way inheritance: Don't unify variables.
+                               -- Only refine L if R is already concrete (handled by getEffectiveNode).
+                               -- If both are variables, we return L to satisfy the constraint for now.
+                               Just (AnyRigidNodeF (RObject (VVar tidL idxL) qRes), refs)
+                           (False, True) ->
+                               Just (AnyRigidNodeF (RObject (VVar tidR idxR) qRes), refs)
+                           _ -> case pol of
+                               PJoin -> Just (AnyRigidNodeF (RTerminal SAny), refs)
+                               PMeet -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                (VVar tidL idxL, _) | isRefinable tidL ->
+                    Just $ refineVarL env ps refs tidL idxL (fromJust nodeR)
+
+                (_, VVar tidR idxR) | isRefinable tidR ->
+                    Just $ refineVarR env ps refs tidR idxR (fromJust nodeL)
+
+                (VExistential tidsL bodyL, VExistential tidsR bodyR) ->
+                    Just $ stepObjectExistential ps refs tidsL bodyL tidsR bodyR qRes
+
+                (sL', VExistential tidsR bodyR) ->
+                    Just $ stepObjectPackR env ps refs sL' tidsR bodyR qRes
+
+                (VExistential tidsL bodyL, sR') ->
+                    Just $ stepObjectPackL env ps refs tidsL bodyL sR' qRes
+
+                (VBuiltin NullPtrTy, _) ->
+                    case pol of
+                        PJoin -> let next'' i = ProductState i i pol oneWay gamma depthR depthR (psParentVar ps)
+                                 in Just (AnyRigidNodeF (RObject (fmap next'' sR) qRes), refs)
+                        PMeet -> Just (AnyRigidNodeF (RObject (VBuiltin NullPtrTy) qRes), refs)
+
+                (_, VBuiltin NullPtrTy) ->
+                    case pol of
+                        PJoin -> let next'' i = ProductState i i pol oneWay gamma depthL depthL (psParentVar ps)
+                                 in Just (AnyRigidNodeF (RObject (fmap next'' sL) qRes), refs)
+                        PMeet -> Just (AnyRigidNodeF (RObject (VBuiltin NullPtrTy) qRes), refs)
+
+                (VBuiltin bL, VBuiltin bR) | bL == bR ->
+                    Just (AnyRigidNodeF (RObject (VBuiltin bR) qRes), refs)
+
+                (VNominal nameL paramsL, VNominal nameR paramsR) ->
+                    Just $ stepObjectNominal env ps refs nameL paramsL nameR paramsR qRes
+
+                (VNominal nameL paramsL, VVariant mR) ->
+                    Just $ stepObjectNominalVariant env ps refs nameL paramsL mR qRes
+
+                (VVariant mL, VNominal nameR paramsR) ->
+                    Just $ stepObjectVariantNominal env ps refs mL nameR paramsR qRes
+
+                (VEnum nameL, VEnum nameR) | C.lexemeText nameL == C.lexemeText nameR ->
+                    Just (AnyRigidNodeF (RObject (VEnum nameL) qRes), refs)
+
+                (VSingleton bL vL, VSingleton bR vR) | bL == bR && vL == vR ->
+                    Just (AnyRigidNodeF (RObject (VSingleton bL vL) qRes), refs)
+
+                (VSingleton bL vL, VBuiltin bR) | bL == bR ->
+                    case pol of
+                        PJoin -> Just (AnyRigidNodeF (RObject (VBuiltin bR) qRes), refs)
+                        PMeet -> Just (AnyRigidNodeF (RObject (VSingleton bL vL) qRes), refs)
+
+                (VBuiltin bL, VSingleton bR vR) | bL == bR ->
+                    case pol of
+                        PJoin -> Just (AnyRigidNodeF (RObject (VBuiltin bL) qRes), refs)
+                        PMeet -> Just (AnyRigidNodeF (RObject (VSingleton bR vR) qRes), refs)
+
+                (VVariant mL, VVariant mR) ->
+                    Just $ stepObjectVariant env ps refs mL mR qRes
+
+                (VProperty aL pkL, VProperty aR pkR) | pkL == pkR ->
+                    let nextL rL rR = ProductState rL rR pol oneWay gamma depthL depthR (psParentVar ps)
+                    in Just (AnyRigidNodeF (RObject (VProperty (nextL aL aR) pkL) qRes), refs)
+
+                (VSizeExpr termsL, VSizeExpr termsR) ->
+                    Just $ stepObjectSizeExpr env ps refs termsL termsR qRes
+
+                (VBuiltin _, _) -> dtrace "step RObject: VBuiltin catch-all L" $ case pol of
+                    PJoin -> Just (AnyRigidNodeF (RTerminal SAny), refs)
+                    PMeet -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                (_, VBuiltin _) -> dtrace "step RObject: VBuiltin catch-all R" $ case pol of
+                    PJoin -> Just (AnyRigidNodeF (RTerminal SAny), refs)
+                    PMeet -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                (VVar{}, _) -> dtrace "step RObject: VVar catch-all L" $ case pol of
+                    PJoin -> Just (AnyRigidNodeF (RTerminal SAny), refs)
+                    PMeet -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                (_, VVar{}) -> dtrace "step RObject: VVar catch-all R" $ case pol of
+                    PJoin -> Just (AnyRigidNodeF (RTerminal SAny), refs)
+                    PMeet -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+                _ -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> Nothing
+
+-- | Handles general variable refinement cases in the Product Automaton.
+stepVariable :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (StepResult, MappingRefinements)
+stepVariable env ps refs nodeL nodeR =
+    case (nodeL, nodeR) of
+        -- 3. General Variable Refinement (Category-independent placeholders)
+        (Just (AnyRigidNodeF (RObject (VVar tidL idxL) _)), Just nR@(AnyRigidNodeF nodeR'))
+            | isRefinable tidL && not (isObject nodeR') ->
+                Just $ refineVarL env ps refs tidL idxL nR
+
+        (Just nL@(AnyRigidNodeF nodeL'), Just (AnyRigidNodeF (RObject (VVar tidR idxR) _)))
+            | isRefinable tidR && not (isObject nodeL') ->
+                Just $ refineVarR env ps refs tidR idxR nL
+        _ -> Nothing
+
+-- | Handles terminal node cases in the Product Automaton.
+stepTerminal :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (AnyRigidNodeF TemplateId Word32) -> Maybe (StepResult, MappingRefinements)
+stepTerminal env ps refs nodeL nodeR =
+    let nodes = teNodes env
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+    in case (nodeL, nodeR) of
+        -- 0. Conflict Poisoning (Absolute Absorber)
+        (Just (AnyRigidNodeF (RTerminal SConflict)), _) ->
+            let !newRefs = case nodeR of
+                    Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineR env -> setRefinement (variableKey nodes depthR tid) (psNodeL ps) refs
+                    _ -> refs
+            in Just (AnyRigidNodeF (RTerminal SConflict), newRefs)
+        (_, Just (AnyRigidNodeF (RTerminal SConflict))) ->
+            let !newRefs = case nodeL of
+                    Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineL env -> setRefinement (variableKey nodes depthL tid) (psNodeR ps) refs
+                    _ -> refs
+            in Just (AnyRigidNodeF (RTerminal SConflict), newRefs)
+
+        -- 1. Lattice Top (SAny) Propagation
+        (Just (AnyRigidNodeF (RTerminal SAny)), _) ->
+            if isTop nodes refs depthR (psNodeR ps)
+            then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Poisoning
+            else case pol of
+                PJoin ->
+                    let !newRefs = case nodeR of
+                            Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineR env -> setRefinement (variableKey nodes depthR tid) (psNodeL ps) refs
+                            _ -> refs
+                    in Just (AnyRigidNodeF (RTerminal SAny), newRefs) -- Absorber
+                PMeet -> case nodeR of
+                    Just (AnyRigidNodeF nR) -> Just (AnyRigidNodeF (fmap (\i -> ProductState i i pol oneWay gamma depthL depthR (psParentVar ps)) nR), refs) -- Identity
+                    Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+        (_, Just (AnyRigidNodeF (RTerminal SAny))) ->
+            if isTop nodes refs depthL (psNodeL ps)
+            then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Poisoning
+            else case pol of
+                PJoin ->
+                    let !newRefs = case nodeL of
+                            Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineL env -> setRefinement (variableKey nodes depthL tid) (psNodeR ps) refs
+                            _ -> refs
+                    in Just (AnyRigidNodeF (RTerminal SAny), newRefs) -- Absorber
+                PMeet -> case nodeL of
+                    Just (AnyRigidNodeF nL) -> Just (AnyRigidNodeF (fmap (\i -> ProductState i i pol oneWay gamma depthL depthR (psParentVar ps)) nL), refs) -- Identity
+                    Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+        -- 2. Lattice Bottom (SBottom) Propagation
+        (Just (AnyRigidNodeF (RTerminal SBottom)), _) ->
+            if isTop nodes refs depthR (psNodeR ps)
+            then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Poisoning
+            else case pol of
+                PJoin -> case nodeR of
+                    Just (AnyRigidNodeF nR) -> Just (AnyRigidNodeF (fmap (\i -> ProductState i i pol oneWay gamma depthL depthR (psParentVar ps)) nR), refs) -- Identity
+                    Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                PMeet -> if isNonnull nodes refs depthR (psNodeR ps)
+                         then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Contradiction
+                         else
+                             let !newRefs = case nodeR of
+                                     Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineR env -> setRefinement (variableKey nodes depthR tid) (psNodeL ps) refs
+                                     _ -> refs
+                             in Just (AnyRigidNodeF (RTerminal SBottom), newRefs) -- Absorber
+
+        (_, Just (AnyRigidNodeF (RTerminal SBottom))) ->
+            if isTop nodes refs depthL (psNodeL ps)
+            then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Poisoning
+            else case pol of
+                PJoin -> case nodeL of
+                    Just (AnyRigidNodeF nL) -> Just (AnyRigidNodeF (fmap (\i -> ProductState i i pol oneWay gamma depthL depthR (psParentVar ps)) nL), refs) -- Identity
+                    Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+                PMeet -> if isNonnull nodes refs depthL (psNodeL ps)
+                         then Just (AnyRigidNodeF (RTerminal SConflict), refs) -- Contradiction
+                         else
+                             let !newRefs = case nodeL of
+                                     Just (AnyRigidNodeF (RObject (VVar tid _) _)) | isRefinable tid && teRefineL env -> setRefinement (variableKey nodes depthL tid) (psNodeR ps) refs
+                                     _ -> refs
+                             in Just (AnyRigidNodeF (RTerminal SBottom), newRefs) -- Absorber
+
+        (Just (AnyRigidNodeF (RTerminal (STerminal idL))), Just (AnyRigidNodeF (RTerminal (STerminal idR)))) ->
+            Just (AnyRigidNodeF (RTerminal (STerminal (ProductState idL idR pol oneWay gamma depthL depthR (psParentVar ps)))), refs)
+
+        (Just (AnyRigidNodeF (RTerminal (STerminal idL))), _) ->
+            case nodeR of
+                Just (AnyRigidNodeF nR) -> Just (AnyRigidNodeF (fmap (\rR' -> ProductState idL rR' pol oneWay gamma depthL depthR (psParentVar ps)) nR), refs)
+                Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+
+        (_, Just (AnyRigidNodeF (RTerminal (STerminal idR)))) ->
+            case nodeL of
+                Just (AnyRigidNodeF nL) -> Just (AnyRigidNodeF (fmap (\lL' -> ProductState lL' idR pol oneWay gamma depthL depthR (psParentVar ps)) nL), refs)
+                Nothing -> Just (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> Nothing
+
+-- | A single step of the Product Automaton.
+-- Performs local pattern matching on two nodes and returns the structural product.
+step :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> (StepResult, MappingRefinements)
+step env ps refs =
+    let nodes = teNodes env
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+
+        (effIdL, nodeL) = getEffectiveNode nodes refs depthL (psNodeL ps)
+        (effIdR, nodeR) = getEffectiveNode nodes refs depthR (psNodeR ps)
+
+        pol = psPolarity ps
+
+    in dtrace ("step: L=" ++ show (psNodeL ps) ++ " R=" ++ show (psNodeR ps) ++ " pol=" ++ show pol ++ " effL=" ++ show effIdL ++ " effR=" ++ show effIdR ++ " parent=" ++ show (psParentVar ps)) $
+       fromMaybe (stepMismatch pol refs)
+       (stepTerminal env ps refs nodeL nodeR <|>
+        stepVariable env ps refs nodeL nodeR <|>
+        stepObject env ps refs nodeL nodeR <|>
+        stepReference env ps refs nodeL nodeR <|>
+        stepFunction env ps refs nodeL nodeR)
+
+-- | Sequential refinement propagation for collections of types.
+refineParams :: TransitionEnv Word32 -> Polarity -> Bool -> MappingContext -> Int -> Int -> Maybe (Int, TemplateId) -> MappingRefinements -> [Variance] -> [Word32] -> [Word32] -> (MappingRefinements, [ProductState])
+refineParams env pol oneWay gamma dL dR parentVar initialRefs variances ls rs =
+    let go refs [] [] [] acc = (refs, reverse acc)
+        go refs (v:vRest) (lL:lRest) (rR:rRest) acc =
+            let p = applyVariance v pol
+                nodes = teNodes env
+                (effL, nodeL) = getEffectiveNode nodes refs dL lL
+                (effR, nodeR) = getEffectiveNode nodes refs dR rR
+
+                -- Preview refinement for VVar
+                !newRefs =
+                    case (nodeL, nodeR) of
+                        (Just (AnyRigidNodeF (RObject (VVar tidL _) _)), Just (AnyRigidNodeF (RObject (VVar tidR _) _)))
+                            | isRefinable tidL && teRefineL env && isRefinable tidR && teRefineR env && effL /= effR ->
+                                if stableCompareTID nodes tidL tidR == LT
+                                then let keyR = variableKey nodes dR tidR
+                                     in setRefinement keyR effL refs
+                                else let keyL = variableKey nodes dL tidL
+                                     in setRefinement keyL effR refs
+                        (Just (AnyRigidNodeF (RObject (VVar tidL _) _)), _)
+                            | isRefinable tidL && teRefineL env && effL /= effR ->
+                                let keyL = variableKey nodes dL tidL
+                                in setRefinement keyL effR refs
+                        (_, Just (AnyRigidNodeF (RObject (VVar tidR _) _)))
+                            | isRefinable tidR && teRefineR env && effL /= effR ->
+                                let keyR = variableKey nodes dR tidR
+                                in setRefinement keyR effL refs
+                        _ -> refs
+                state = ProductState effL effR p oneWay gamma dL dR parentVar
+            in go newRefs vRest lRest rRest (state : acc)
+        go refs _ _ _ acc = (refs, reverse acc) -- Should be unreachable due to length checks
+    in go initialRefs variances ls rs []
+
+-- | Sequential refinement for ReturnType.
+refineReturnType :: TransitionEnv Word32 -> Polarity -> Bool -> MappingContext -> Int -> Int -> Maybe (Int, TemplateId) -> MappingRefinements -> ReturnType Word32 -> ReturnType Word32 -> (MappingRefinements, Maybe (ReturnType ProductState))
+refineReturnType env pol oneWay gamma dL dR parentVar refs rL rR =
+    case (rL, rR) of
+        (RetVal lL, RetVal lR) ->
+            let (newRefs, states) = refineParams env pol oneWay gamma dL dR parentVar refs [Covariant] [lL] [lR]
+            in case states of
+                [state] -> (newRefs, Just $ RetVal state)
+                _       -> (newRefs, Nothing)
+        (RetVoid, RetVoid) -> (refs, Just RetVoid)
+        _ -> (refs, Nothing)
+
+-- | Traverses PtrTarget structure in the Product Automaton.
+stepPtrTarget :: TransitionEnv Word32 -> Polarity -> Bool -> Word32 -> Word32 -> PtrTarget TemplateId Word32 -> PtrTarget TemplateId Word32 -> MappingContext -> Int -> Int -> Maybe (Int, TemplateId) -> MappingRefinements -> (Maybe (PtrTarget TemplateId ProductState), MappingRefinements)
+stepPtrTarget env pol oneWay idL idR pL pR gamma dL dR parentVar refs =
+    let next' rL rR = ProductState rL rR pol oneWay gamma dL dR parentVar
+    in case (pL, pR) of
+        (TargetObject oL, TargetObject oR) ->
+            -- Dereferencing a pointer to Bottom is a contradiction (Section 1.B)
+            let nodes = teNodes env
+            in if pol == PMeet && (isBot nodes refs dL oL || isBot nodes refs dR oR)
+            then (Nothing, refs)
+            else
+                let (newRefs, states) = refineParams env pol oneWay gamma dL dR parentVar refs [Covariant] [oL] [oR]
+                in case states of
+                    [state] -> (Just $ TargetObject state, newRefs)
+                    _       -> (Nothing, refs)
+        (TargetFunction aL rL, TargetFunction aR rR) ->
+            if length aL /= length aR
+            then (Nothing, refs)
+            else
+                let (refs1, aStates) = refineParams env pol oneWay gamma dL dR parentVar refs (replicate (length aL) Contravariant) aL aR
+                    (newRefs, mRet) = refineReturnType env pol oneWay gamma dL dR parentVar refs1 rL rR
+                in case mRet of
+                    Just ret -> (Just $ TargetFunction aStates ret, newRefs)
+                    Nothing  -> (Nothing, refs)
+        (TargetOpaque tidL, TargetOpaque tidR) | isRefinable tidL && isRefinable tidR ->
+            if tidL == tidR then (Just $ TargetOpaque tidL, refs)
+            else
+                -- Symmetric variable choice for commutativity and ID invariance.
+                let keyL = variableKey (teNodes env) dL tidL
+                    keyR = variableKey (teNodes env) dR tidR
+                in case (teRefineL env, teRefineR env) of
+                    (True, True) ->
+                        let (chosen, !newRefs) = if stableCompareTID (teNodes env) tidL tidR == LT
+                                             then (tidL, setRefinement keyR idL refs)
+                                             else (tidR, setRefinement keyL idR refs)
+                        in (Just $ TargetOpaque chosen, newRefs)
+                    (True, False) ->
+                        let !newRefs = setRefinement keyL idR refs
+                        in (Just $ TargetOpaque tidR, newRefs)
+                    (False, True) ->
+                        let !newRefs = setRefinement keyR idL refs
+                        in (Just $ TargetOpaque tidL, newRefs)
+                    (False, False) ->
+                        (Just $ TargetOpaque tidL, refs) -- Cannot refine, but they are both refinable names
+
+        (TargetOpaque tL, TargetOpaque tR) | tL == tR ->
+            (Just $ TargetOpaque tL, refs)
+
+        (TargetOpaque tidL, TargetObject oR) | isRefinable tidL && teRefineL env ->
+            let key = variableKey (teNodes env) dL tidL
+            in case getRefinement key refs of
+                Nothing ->
+                    let !newRefs = setRefinement key oR refs
+                    in (Just $ TargetObject (next' oR oR), newRefs)
+                Just oldID ->
+                    (Just $ TargetObject (next' oldID oR), refs)
+
+        (TargetObject oL, TargetOpaque tidR) | isRefinable tidR && teRefineR env ->
+            let key = variableKey (teNodes env) dR tidR
+            in case getRefinement key refs of
+                Nothing ->
+                    let !newRefs = setRefinement key oL refs
+                    in (Just $ TargetObject (next' oL oL), newRefs)
+                Just oldID ->
+                    (Just $ TargetObject (next' oL oldID), refs)
+
+        (TargetOpaque tidL, TargetFunction aR rR) | isRefinable tidL && teRefineL env ->
+            -- Refine void* to a function signature
+            let nextR rL' rR' = ProductState rL' rR' pol oneWay gamma dR dR parentVar
+            in (Just $ TargetFunction (map (\r -> nextR r r) aR) (fmap (\r -> nextR r r) rR), refs)
+
+        (TargetFunction aL rL, TargetOpaque tidR) | isRefinable tidR && teRefineR env ->
+            let nextL rL' rR' = ProductState rL' rR' pol oneWay gamma dL dL parentVar
+            in (Just $ TargetFunction (map (\r -> nextL r r) aL) (fmap (\r -> nextL r r) rL), refs)
+
+        _ -> (Nothing, refs)
+
+setQuals :: Quals -> AnyRigidNodeF tid a -> AnyRigidNodeF tid a
+setQuals q (AnyRigidNodeF node) = case node of
+    RObject s _          -> AnyRigidNodeF (RObject s q)
+    RReference s n o _   -> AnyRigidNodeF (RReference s n o q)
+    RFunction args ret   -> AnyRigidNodeF (RFunction args ret)
+    RTerminal t          -> AnyRigidNodeF (RTerminal t)
+
+refineVarL :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> TemplateId -> Maybe (Index TemplateId) -> AnyRigidNodeF TemplateId Word32 -> (StepResult, MappingRefinements)
+refineVarL env ps refs tidL idxL nodeR =
+    let nodes = teNodes env
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        gamma = psGamma ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+        key = variableKey nodes depthL tidL
+        qL = getQuals (fromMaybe (AnyRigidNodeF (RTerminal SConflict)) $ Map.lookup (psNodeL ps) nodes)
+        qR = getQuals nodeR
+        qRes = Quals $ if pol == PJoin then qConst qL || qConst qR else qConst qL && qConst qR
+    in case getRefinement key refs of
+        Nothing | psNodeL ps /= psNodeR ps ->
+            let resNode = fmap (\i -> ProductState i i pol oneWay gamma depthR depthR (Just (depthL, tidL))) nodeR
+                res = if isObjectAny nodeR then setQuals qRes resNode else resNode
+            in if teRefineL env
+               then (res, setRefinement key (psNodeR ps) refs)
+               else (res, refs)
+        Just oldID | oldID /= psNodeL ps ->
+            (AnyRigidNodeF (RTerminal (STerminal $ ProductState oldID (psNodeR ps) pol oneWay gamma depthL depthR (psParentVar ps))), refs)
+        _ -> if pol == PJoin
+             then (AnyRigidNodeF (RObject (VVar tidL idxL) qRes), refs)
+             else let resNode = fmap (\i -> ProductState i i pol oneWay gamma depthR depthR (Just (depthL, tidL))) nodeR
+                  in (if isObjectAny nodeR then setQuals qRes resNode else resNode, refs)
+
+refineVarR :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> TemplateId -> Maybe (Index TemplateId) -> AnyRigidNodeF TemplateId Word32 -> (StepResult, MappingRefinements)
+refineVarR env ps refs tidR idxR nodeL =
+    let nodes = teNodes env
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        gamma = psGamma ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+        key = variableKey nodes depthR tidR
+        qR = getQuals (fromMaybe (AnyRigidNodeF (RTerminal SConflict)) $ Map.lookup (psNodeR ps) nodes)
+        qL = getQuals nodeL
+        qRes = Quals $ if pol == PJoin then qConst qL || qConst qR else qConst qL && qConst qR
+    in case getRefinement key refs of
+        Nothing | psNodeL ps /= psNodeR ps ->
+            let resNode = fmap (\i -> ProductState i i pol oneWay gamma depthL depthL (Just (depthR, tidR))) nodeL
+                res = if isObjectAny nodeL then setQuals qRes resNode else resNode
+            in if teRefineR env
+               then (res, setRefinement key (psNodeL ps) refs)
+               else (res, refs)
+        Just oldID | oldID /= psNodeR ps ->
+            (AnyRigidNodeF (RTerminal (STerminal $ ProductState (psNodeL ps) oldID pol oneWay gamma depthL depthR (psParentVar ps))), refs)
+        _ -> if pol == PJoin
+             then (AnyRigidNodeF (RObject (VVar tidR idxR) qRes), refs)
+             else let resNode = fmap (\i -> ProductState i i pol oneWay gamma depthL depthL (Just (depthR, tidR))) nodeL
+                  in (if isObjectAny nodeL then setQuals qRes resNode else resNode, refs)
+
+isObjectAny :: AnyRigidNodeF tid a -> Bool
+isObjectAny (AnyRigidNodeF n) = isObject n
+
+-- | Identifies variables that are bound by an existential quantifier.
+isBound :: TemplateId -> Bool
+isBound TIdDeBruijn{} = True
+isBound _             = False
+
+-- | Identifies variables that are part of a type's template parameters.
+-- These are used during instantiation to create fresh local placeholders.
+isParameter :: TemplateId -> Bool
+isParameter TIdParam{}   = True
+isParameter TIdSkolem{}  = True
+isParameter TIdInstance{} = True
+isParameter TIdDeBruijn{} = False
+isParameter (TIdName t)   = t == "T" || (T.length t >= 2 && T.head t == 'T' && T.all Char.isDigit (T.drop 1 t))
+
+-- | Identifies variables that represent opaque Skolem or Instance placeholders.
+isRefinable :: TemplateId -> Bool
+isRefinable = \case
+    TIdParam{}           -> True
+    TIdSkolem{}          -> True
+    TIdInstance{}         -> True
+    TIdDeBruijn{}         -> False
+    TIdName t             -> t == "T" || (T.length t >= 2 && T.head t == 'T' && T.all Char.isDigit (T.drop 1 t))
+
+-- | Identifies structures that are physically immutable (literals, etc.).
+isPhysicalConst :: ObjectStructure tid a -> Bool
+isPhysicalConst = \case
+    VSingleton{} -> True
+    VBuiltin NullPtrTy -> True
+    VProperty{} -> True
+    _            -> False
+
+-- | Searches for an existing existential node that wraps a given nominal type name and arity.
+findExistentialPromotion :: TransitionEnv Word32 -> Lexeme TemplateId -> Int -> Maybe (AnyRigidNodeF TemplateId Word32, Word32)
+findExistentialPromotion env lexName arity =
+    let isMatch nid (AnyRigidNodeF (RObject (VExistential tids bodyId) _)) =
+            length tids == arity &&
+            case Map.lookup bodyId (teNodes env) of
+                Just (AnyRigidNodeF (RObject (VNominal n ps) _)) ->
+                    let L _ _ valN = n
+                        L _ _ valLex = lexName
+                        res = valN == valLex && length ps == arity
+                    in dtrace ("findExistentialPromotion: checking " ++ show nid ++ " nominal name=" ++ show valN ++ " match=" ++ show res) res
+                _ -> False
+        isMatch _ _ = False
+        matches = filter (uncurry isMatch) (Map.toList (teNodes env))
+    in dtrace ("findExistentialPromotion: searching for " ++ show (C.lexemeText lexName) ++ " arity=" ++ show arity ++ " in " ++ show (Map.size (teNodes env)) ++ " nodes") $
+       case matches of
+        [] -> Nothing
+        _  -> let (i, n) = List.minimumBy (\(i1, _) (i2, _) -> compare (getStableNodeIdent (teNodes env) i1) (getStableNodeIdent (teNodes env) i2)) matches
+              in Just (n, i)
+
+-- | Computes a stable unique key for a refinable variable in 'MappingRefinements'.
+-- Absolute level is used for De Bruijn variables to ensure stability.
+-- Hashed semantic identifiers are used for others.
+variableKey :: Map Word32 (AnyRigidNodeF TemplateId Word32) -> Int -> TemplateId -> Int
+variableKey nodes currentDepth = \case
+    TIdDeBruijn i   -> currentDepth - fromIntegral i
+    TIdSkolem l r i -> fromIntegral (hash (0 :: Int, i, getStableNodeIdent nodes l, getStableNodeIdent nodes r))
+    TIdInstance i   -> fromIntegral (hash (1 :: Int, i))
+    TIdParam p i _  -> fromIntegral (hash (2 :: Int, p, i))
+    TIdName t       -> fromIntegral (hash (3 :: Int, currentDepth, t))
+
+templateIdName :: TemplateId -> Text
+templateIdName (TIdName t) = t
+templateIdName _           = ""
+
+stepObjectExistential :: ProductState -> MappingRefinements -> [TemplateId] -> Word32 -> [TemplateId] -> Word32 -> Quals -> (StepResult, MappingRefinements)
+stepObjectExistential ps refs tidsL bodyL tidsR bodyR qRes =
+    if length tidsL /= length tidsR then (AnyRigidNodeF (RTerminal SConflict), refs)
+    else
+        -- Synchronize binders by pushing them into the mapping context.
+        let gamma = psGamma ps
+            depthL = psDepthL ps
+            depthR = psDepthR ps
+            pol = psPolarity ps
+            oneWay = psOneWay ps
+            newGamma = foldr pushMapping gamma [0..length tidsL - 1]
+            newDL = min 30 (depthL + length tidsL)
+            newDR = min 30 (depthR + length tidsR)
+            next rL rR = ProductState rL rR pol oneWay newGamma newDL newDR (psParentVar ps)
+        in (AnyRigidNodeF (RObject (VExistential tidsL (next bodyL bodyR)) qRes), refs)
+
+stepObjectPackR :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> ObjectStructure TemplateId Word32 -> [TemplateId] -> Word32 -> Quals -> (StepResult, MappingRefinements)
+stepObjectPackR env ps refs sL' tidsR bodyR qRes =
+    let nodes = teNodes env
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        gamma = psGamma ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+        effIdL = fst $ getEffectiveNode nodes refs depthL (psNodeL ps)
+        checkCompatible = case (sL', getEffectiveObject nodes refs (depthR + length tidsR) bodyR) of
+            (VVar tid _, _) | (isRefinable tid || isBound tid) && teRefineL env -> True
+            (_, Just (VVar tid _)) | (isRefinable tid || isBound tid) && teRefineR env -> True
+            (VBuiltin b1, Just (VBuiltin b2)) -> b1 == b2
+            (VNominal n1 p1, Just (VNominal n2 p2)) -> C.lexemeText n1 == C.lexemeText n2 && length p1 == length p2
+            (VEnum n1, Just (VEnum n2)) -> C.lexemeText n1 == C.lexemeText n2
+            (VSingleton b1 _, Just (VBuiltin b2)) -> b1 == b2
+            (VBuiltin b1, Just (VSingleton b2 _)) -> b1 == b2
+            (VSingleton b1 v1, Just (VSingleton b2 v2)) -> b1 == b2 && v1 == v2
+            _ -> False
+    in if not checkCompatible then (AnyRigidNodeF (RTerminal SConflict), refs)
+       else
+        let newGamma = foldr pushMapping gamma [0..length tidsR - 1]
+            newDR = min 30 (depthR + length tidsR)
+        in case pol of
+            PJoin ->
+                -- Generalization: result is the Existential
+                let next rL rR = ProductState rL rR PJoin oneWay newGamma depthL newDR (psParentVar ps)
+                in (AnyRigidNodeF (RObject (VExistential tidsR (next effIdL bodyR)) qRes), refs)
+            PMeet ->
+                -- Refinement: result is the Concrete structure
+                let next rL rR = ProductState rL rR PMeet oneWay newGamma depthL newDR (psParentVar ps)
+                in (AnyRigidNodeF (RObject (fmap (\idL' -> next idL' bodyR) sL') qRes), refs)
+
+stepObjectPackL :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> [TemplateId] -> Word32 -> ObjectStructure TemplateId Word32 -> Quals -> (StepResult, MappingRefinements)
+stepObjectPackL env ps refs tidsL bodyL sR' qRes =
+    let nodes = teNodes env
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        gamma = psGamma ps
+        pol = psPolarity ps
+        oneWay = psOneWay ps
+        effIdR = fst $ getEffectiveNode nodes refs depthR (psNodeR ps)
+        checkCompatible = case (getEffectiveObject nodes refs (depthL + length tidsL) bodyL, sR') of
+            (Just (VVar tid _), _) | (isRefinable tid || isBound tid) && teRefineL env -> True
+            (_, VVar tid _) | (isRefinable tid || isBound tid) && teRefineR env -> True
+            (Just (VBuiltin b1), VBuiltin b2) -> b1 == b2
+            (Just (VNominal n1 p1), VNominal n2 p2) -> C.lexemeText n1 == C.lexemeText n2 && length p1 == length p2
+            (Just (VEnum n1), VEnum n2) -> C.lexemeText n1 == C.lexemeText n2
+            (Just (VSingleton b1 _), VBuiltin b2) -> b1 == b2
+            (Just (VBuiltin b1), VSingleton b2 _) -> b1 == b2
+            (Just (VSingleton b1 v1), VSingleton b2 v2) -> b1 == b2 && v1 == v2
+            _ -> False
+    in if not checkCompatible then (AnyRigidNodeF (RTerminal SConflict), refs)
+       else
+        let newGamma = foldr pushMapping gamma [0..length tidsL - 1]
+            newDL = min 30 (depthL + length tidsL)
+        in case pol of
+            PJoin ->
+                let next rL rR = ProductState rL rR PJoin oneWay newGamma newDL depthR (psParentVar ps)
+                in (AnyRigidNodeF (RObject (VExistential tidsL (next bodyL effIdR)) qRes), refs)
+            PMeet ->
+                let next rL rR = ProductState rL rR PMeet oneWay gamma newDL depthR (psParentVar ps)
+                in (AnyRigidNodeF (RObject (fmap (bodyL `next`) sR') qRes), refs)
+
+stepObjectNominal :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Lexeme TemplateId -> [Word32] -> Lexeme TemplateId -> [Word32] -> Quals -> (StepResult, MappingRefinements)
+stepObjectNominal env ps refs nameL paramsL nameR paramsR qRes =
+    let pol = psPolarity ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        gamma = psGamma ps
+        oneWay = psOneWay ps
+    in if C.lexemeText nameL /= C.lexemeText nameR || length paramsL /= length paramsR
+    then (AnyRigidNodeF (RTerminal SConflict), refs)
+    else
+        -- 1. Existential Promotion for heterogeneous collections (Section 4.A).
+        let effParamsL = map (fst . getEffectiveNode (teNodes env) refs depthL) paramsL
+            effParamsR = map (fst . getEffectiveNode (teNodes env) refs depthR) paramsR
+
+            (newRefs', mPromoted) = if pol == PJoin && effParamsL /= effParamsR then
+                dtrace ("VNominal Join PROMOTING: name=" ++ show (C.lexemeText nameL) ++ " effParamsL=" ++ show effParamsL ++ " effParamsR=" ++ show effParamsR) $
+                case findExistentialPromotion env nameL (length paramsL) of
+                    Just (AnyRigidNodeF (RObject (VExistential tids bodyId) _), existId) ->
+                        let newGamma = foldr pushMapping gamma [0..length tids - 1]
+                            next'' rL rR = ProductState rL rR PJoin oneWay newGamma depthL depthR (psParentVar ps)
+
+                            -- Update variable refinement if we found a supertype
+                            !r' = case Map.lookup (psNodeR ps) (teNodes env) of
+                                Just (AnyRigidNodeF (RObject (VVar tidR _) _)) | isRefinable tidR && teRefineR env ->
+                                    dtrace ("Promotion Refinement Update R: " ++ show tidR ++ " -> " ++ show existId) $
+                                    setRefinement (variableKey (teNodes env) depthR tidR) existId refs
+                                _ -> case Map.lookup (psNodeL ps) (teNodes env) of
+                                    Just (AnyRigidNodeF (RObject (VVar tidL _) _)) | isRefinable tidL && teRefineL env ->
+                                        dtrace ("Promotion Refinement Update L: " ++ show tidL ++ " -> " ++ show existId) $
+                                        setRefinement (variableKey (teNodes env) depthL tidL) existId refs
+                                    _ -> refs
+                        in (r', Just $ AnyRigidNodeF (RObject (VExistential tids (next'' (psNodeL ps) bodyId)) qRes))
+                    _ -> (refs, Nothing)
+                else (refs, Nothing)
+
+        in case mPromoted of
+            Just promoted -> (promoted, newRefs')
+            Nothing ->
+                let variances = case Map.lookup (templateIdName (C.lexemeText nameL)) (regDefinitions (teRegistry env)) of
+                        Just (StructDef _ ps' _) -> map snd ps'
+                        Just (UnionDef _ ps' _)  -> map snd ps'
+                        _ -> replicate (length paramsL) Covariant
+                    (newRefsParams, states) = refineParams env pol oneWay gamma depthL depthR (psParentVar ps) refs variances paramsL paramsR
+
+                    -- Apply PathContext refinement for Unions during PMeet.
+                    mRefined :: Maybe StepResult
+                    mRefined = if pol == PMeet then
+                        case Map.lookup (teCurrentPath env) (pcRefinements (tePathCtx env)) of
+                            Just (EqVariant idx) ->
+                                case Map.lookup (templateIdName (C.lexemeText nameL)) (regDefinitions (teRegistry env)) of
+                                    Just (UnionDef _ _ members) | fromIntegral idx < length members ->
+                                        let mId = mType (members !! fromIntegral idx)
+                                            next'' rL rR = ProductState rL rR PMeet oneWay gamma depthL depthR (psParentVar ps)
+                                        in Just $ AnyRigidNodeF (RObject (VVariant (IntMap.singleton (fromIntegral idx) (next'' mId mId))) qRes)
+                                    _ -> Nothing
+                            _ -> Nothing
+                        else Nothing
+                in (fromMaybe (AnyRigidNodeF (RObject (VNominal nameL states) qRes)) mRefined, newRefsParams)
+
+stepObjectNominalVariant :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> Lexeme TemplateId -> [Word32] -> IntMap Word32 -> Quals -> (StepResult, MappingRefinements)
+stepObjectNominalVariant env ps refs nameL paramsL mR qRes =
+    let pol = psPolarity ps
+        oneWay = psOneWay ps
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+    in case Map.lookup (templateIdName (C.lexemeText nameL)) (regDefinitions (teRegistry env)) of
+        Just (UnionDef _ _ members) ->
+            let check = all (\rIdx -> rIdx >= 0 && rIdx < length members) (IntMap.keys mR)
+            in if check
+               then case pol of
+                   PMeet ->
+                       let nextState rIdx mIdR =
+                               let mIdL = mType (members !! rIdx)
+                               in ProductState mIdL mIdR pol oneWay gamma depthL depthR (psParentVar ps)
+                       in (AnyRigidNodeF (RObject (VVariant (IntMap.mapWithKey nextState mR)) qRes), refs)
+                   PJoin -> (AnyRigidNodeF (RObject (VNominal nameL (map (\r -> ProductState r r pol oneWay gamma depthL depthL (psParentVar ps)) paramsL)) qRes), refs)
+               else (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> (AnyRigidNodeF (RTerminal SConflict), refs)
+
+stepObjectVariantNominal :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> IntMap Word32 -> Lexeme TemplateId -> [Word32] -> Quals -> (StepResult, MappingRefinements)
+stepObjectVariantNominal env ps refs mL nameR paramsR qRes =
+    let pol = psPolarity ps
+        oneWay = psOneWay ps
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+    in case Map.lookup (templateIdName (C.lexemeText nameR)) (regDefinitions (teRegistry env)) of
+        Just (UnionDef _ _ members) ->
+            let check = all (\rIdx -> rIdx >= 0 && rIdx < length members) (IntMap.keys mL)
+            in if check
+               then case pol of
+                   PMeet ->
+                       let nextState rIdx mIdL =
+                               let mIdR = mType (members !! rIdx)
+                               in ProductState mIdL mIdR pol oneWay gamma depthL depthR (psParentVar ps)
+                       in (AnyRigidNodeF (RObject (VVariant (IntMap.mapWithKey nextState mL)) qRes), refs)
+                   PJoin -> (AnyRigidNodeF (RObject (VNominal nameR (map (\r -> ProductState r r pol oneWay gamma depthR depthR (psParentVar ps)) paramsR)) qRes), refs)
+               else (AnyRigidNodeF (RTerminal SConflict), refs)
+        _ -> (AnyRigidNodeF (RTerminal SConflict), refs)
+
+stepObjectVariant :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> IntMap Word32 -> IntMap Word32 -> Quals -> (StepResult, MappingRefinements)
+stepObjectVariant env ps refs mL mR qRes =
+    let pol = psPolarity ps
+        oneWay = psOneWay ps
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        bot = let (b, _, _, _) = teTerminals env in b
+        nextL rL rR = ProductState rL rR pol oneWay gamma depthL depthR (psParentVar ps)
+        mRes = case pol of
+            PJoin ->
+                let nextJL l' = ProductState l' bot PJoin oneWay gamma depthL 0 (psParentVar ps)
+                    nextJR r' = ProductState bot r' PJoin oneWay gamma 0 depthR (psParentVar ps)
+                in IntMap.merge (IntMap.mapMissing (\_ l' -> nextJL l'))
+                                (IntMap.mapMissing (\_ r' -> nextJR r'))
+                                (IntMap.zipWithMatched (\_ l' r' -> nextL l' r'))
+                                mL mR
+            PMeet ->
+                IntMap.merge IntMap.dropMissing
+                             IntMap.dropMissing
+                             (IntMap.zipWithMatched (\_ l' r' -> nextL l' r'))
+                             mL mR
+        in if pol == PMeet && IntMap.null mRes && not (IntMap.null mL || IntMap.null mR)
+           then (AnyRigidNodeF (RTerminal SConflict), refs)
+           else (AnyRigidNodeF (RObject (VVariant mRes) qRes), refs)
+
+stepObjectSizeExpr :: TransitionEnv Word32 -> ProductState -> MappingRefinements -> [(Word32, Integer)] -> [(Word32, Integer)] -> Quals -> (StepResult, MappingRefinements)
+stepObjectSizeExpr env ps refs termsL termsR qRes =
+    let pol = psPolarity ps
+        oneWay = psOneWay ps
+        gamma = psGamma ps
+        depthL = psDepthL ps
+        depthR = psDepthR ps
+        nodes = teNodes env
+        nextL rL rR = ProductState rL rR pol oneWay gamma depthL depthR (psParentVar ps)
+        getPropIdent :: Word32 -> (PropertyKind, Int)
+        getPropIdent rId = case Map.lookup rId nodes of
+            Just (AnyRigidNodeF (RObject (VProperty a pk) _)) ->
+                let targetIdent :: Int
+                    targetIdent = case Map.lookup a nodes of
+                        Just (AnyRigidNodeF (RObject s _)) ->
+                            case s of
+                                VNominal l _ -> hash (C.lexemeText l)
+                                VBuiltin bt  -> hash bt
+                                VVar tid _   -> hashTemplateId nodes tid
+                                VEnum l      -> hash (C.lexemeText l)
+                                _            -> 0
+                        _ -> 0
+                in (pk, targetIdent)
+            _ -> (PSize, 0)
+
+        aggS = List.sortOn (\(k, c) -> (c, getPropIdent k)) . Map.toList . Map.fromListWith (+)
+        tsL = aggS termsL
+        tsR = aggS termsR
+    in if length tsL == length tsR && all (\((idL', cL), (idR', cR)) -> cL == cR && getPropIdent idL' == getPropIdent idR') (zip tsL tsR)
+       then let finalTerms = zipWith (\(idL', c) (idR', _) -> (nextL idL' idR', c)) tsL tsR
+            in (AnyRigidNodeF (RObject (VSizeExpr finalTerms) qRes), refs)
+       else (AnyRigidNodeF (RTerminal SConflict), refs)
+
+-- end of file
diff --git a/src/Language/Cimple/Analysis/Refined/Types.hs b/src/Language/Cimple/Analysis/Refined/Types.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Refined/Types.hs
@@ -0,0 +1,218 @@
+{-# LANGUAGE DataKinds          #-}
+{-# LANGUAGE DeriveFoldable     #-}
+{-# LANGUAGE DeriveFunctor      #-}
+{-# LANGUAGE DeriveGeneric      #-}
+{-# LANGUAGE DeriveTraversable  #-}
+{-# LANGUAGE GADTs              #-}
+{-# LANGUAGE KindSignatures     #-}
+{-# LANGUAGE LambdaCase         #-}
+{-# LANGUAGE OverloadedStrings  #-}
+{-# LANGUAGE StandaloneDeriving #-}
+{-# LANGUAGE StrictData         #-}
+{-# LANGUAGE TupleSections      #-}
+
+module Language.Cimple.Analysis.Refined.Types
+    ( -- * Core Rigid Node
+      RigidNodeF (..)
+    , AnyRigidNodeF (..)
+    , ObjectStructure (..)
+    , RefStructure (..)
+    , PtrTarget (..)
+    , ReturnType (..)
+    , TerminalNode (..)
+    , PropertyKind (..)
+    , StructureKind (..)
+
+      -- * Attributes
+    , Quals (..)
+    , Nullability (..)
+    , Ownership (..)
+
+      -- * Identifiers and Primitives
+    , TemplateId (..)
+    , LatticePhase (..)
+    , Index (..)
+    , StdType (..)
+    ) where
+
+import           Data.Hashable      (Hashable)
+import           Data.IntMap.Strict (IntMap)
+import           Data.Map.Strict    (Map)
+import qualified Data.Map.Strict    as Map
+import           Data.Text          (Text)
+import           Data.Word          (Word32)
+import           GHC.Generics       (Generic)
+import           Language.Cimple    (Lexeme (..))
+
+-- | Standard C base types supported by the solver.
+data StdType
+    = BoolTy
+    | CharTy
+    | U08Ty | S08Ty
+    | U16Ty | S16Ty
+    | U32Ty | S32Ty
+    | U64Ty | S64Ty
+    | SizeTy
+    | F32Ty | F64Ty
+    | NullPtrTy  -- ^ Semantic type for null pointer constants
+    deriving (Show, Read, Eq, Ord, Generic, Bounded, Enum)
+
+instance Hashable StdType
+
+-- | Classification of type structures for compile-time safety.
+data StructureKind = KObject | KReference | KFunction
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance Hashable StructureKind
+
+-- | The core layered attribute model for the Refined Type System.
+-- Kind-Indexed GADT to enforce 'Correct-by-Construction' invariants.
+-- Notation: τ ::= RObject(σ, q) | RReference(ρ, n, o, q) | RFunction(args, ret) | ⊥ | ⊤
+data RigidNodeF (k :: StructureKind) tid a where
+    RObject    :: ObjectStructure tid a -> Quals -> RigidNodeF 'KObject tid a
+    RReference :: RefStructure tid a -> Nullability -> Ownership -> Quals -> RigidNodeF 'KReference tid a
+    RFunction  :: [a] -> ReturnType a -> RigidNodeF 'KFunction tid a
+    RTerminal  :: TerminalNode a -> RigidNodeF k tid a
+
+-- | Existential wrapper for 'RigidNodeF' to allow homogeneous storage (e.g. Maps).
+-- Notation: ∃k. RigidNodeF(k, tid, a)
+data AnyRigidNodeF tid a where
+    AnyRigidNodeF :: RigidNodeF k tid a -> AnyRigidNodeF tid a
+
+deriving instance (Show tid, Show a) => Show (RigidNodeF k tid a)
+deriving instance (Eq tid, Eq a)     => Eq (RigidNodeF k tid a)
+deriving instance (Ord tid, Ord a)   => Ord (RigidNodeF k tid a)
+deriving instance Functor (RigidNodeF k tid)
+deriving instance Foldable (RigidNodeF k tid)
+deriving instance Traversable (RigidNodeF k tid)
+
+deriving instance (Show tid, Show a) => Show (AnyRigidNodeF tid a)
+instance (Eq tid, Eq a) => Eq (AnyRigidNodeF tid a) where
+    (AnyRigidNodeF l) == (AnyRigidNodeF r) =
+        case (l, r) of
+            (RObject s1 q1, RObject s2 q2) -> s1 == s2 && q1 == q2
+            (RReference s1 n1 o1 q1, RReference s2 n2 o2 q2) -> s1 == s2 && n1 == n2 && o1 == o2 && q1 == q2
+            (RFunction a1 r1, RFunction a2 r2) -> a1 == a2 && r1 == r2
+            (RTerminal t1, RTerminal t2) -> t1 == t2
+            _ -> False
+
+instance (Ord tid, Ord a) => Ord (AnyRigidNodeF tid a) where
+    compare (AnyRigidNodeF l) (AnyRigidNodeF r) =
+        case (l, r) of
+            (RObject s1 q1, RObject s2 q2) -> compare (s1, q1) (s2, q2)
+            (RObject{}, _) -> LT
+            (_, RObject{}) -> GT
+            (RReference s1 n1 o1 q1, RReference s2 n2 o2 q2) -> compare (s1, n1, o1, q1) (s2, n2, o2, q2)
+            (RReference{}, _) -> LT
+            (_, RReference{}) -> GT
+            (RFunction a1 r1, RFunction a2 r2) -> compare (a1, r1) (a2, r2)
+            (RFunction{}, _) -> LT
+            (_, RFunction{}) -> GT
+            (RTerminal t1, RTerminal t2) -> compare t1 t2
+
+instance Functor (AnyRigidNodeF tid) where
+    fmap f (AnyRigidNodeF n) = AnyRigidNodeF (fmap f n)
+instance Foldable (AnyRigidNodeF tid) where
+    foldMap f (AnyRigidNodeF n) = foldMap f n
+instance Traversable (AnyRigidNodeF tid) where
+    traverse f (AnyRigidNodeF n) = AnyRigidNodeF <$> traverse f n
+
+-- | Object Structure represents values (Structs, Enums, Builtins).
+-- Correct-by-construction: Functions and Void are not objects.
+-- Notation:
+--   σ ::= Builtin(T) | Singleton(T, i) | Nominal(L, params) | Var(tid, index)
+--       | ∃tid. σ | Σ (tag -> type) | PSize(τ) | Σ ci*Pi + k
+data ObjectStructure tid a
+    = VBuiltin   StdType
+    | VSingleton StdType Integer         -- ^ Refined literal (e.g., '0')
+    | VNominal   (Lexeme tid) [a]        -- ^ Nominal types with parameters
+    | VEnum      (Lexeme tid)
+    | VVar       tid (Maybe (Index tid)) -- ^ Type variable with optional index
+    | VExistential [tid] a               -- ^ ∃T. a (Hides parameters in 'a')
+    | VVariant     (IntMap a)            -- ^ Tag-to-Type mapping (Refined Union)
+    | VProperty   a PropertyKind         -- ^ Algebraic metadata (sizeof, alignof)
+    | VSizeExpr   [(a, Integer)]         -- ^ Pure linear expression: Σ (Ci * Propertyi)
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+-- | Kinds of algebraic properties derived from types.
+-- Notation: PSize | PAlign | POffset(f)
+data PropertyKind = PSize | PAlign | POffset Text
+    deriving (Show, Eq, Ord, Generic)
+
+instance Hashable PropertyKind
+
+-- | Reference Structure represents indirection (Pointers and Arrays).
+-- Notation: ρ ::= Arr(a, dims) | Ptr(target)
+data RefStructure tid a
+    = Arr a [a] -- ^ Element type (must resolve to RObject), Dimensions
+    | Ptr (PtrTarget tid a)
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+-- | Valid targets for a pointer.
+-- Notation: TargetObject(a) | TargetFunction(sig) | TargetOpaque(tid)
+data PtrTarget tid a
+    = TargetObject   a                   -- ^ Pointer to a value (must be RObject)
+    | TargetFunction [a] (ReturnType a)  -- ^ Pointer to a function: args, return
+    | TargetOpaque   tid                 -- ^ Semantic replacement for void*
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+-- | Possible return types for a function.
+-- Notation: RetVal(τ) | RetVoid
+data ReturnType a where
+    RetVal  :: a -> ReturnType a
+    RetVoid :: ReturnType a
+
+deriving instance Show a => Show (ReturnType a)
+deriving instance Eq a   => Eq (ReturnType a)
+deriving instance Ord a  => Ord (ReturnType a)
+deriving instance Functor ReturnType
+deriving instance Foldable ReturnType
+deriving instance Traversable ReturnType
+
+-- | Absolute lattice terminals.
+data TerminalNode a
+    = SBottom
+    | SAny         -- ^ Lattice Top (Universal supertype, Identity for Meet)
+    | SConflict    -- ^ Absorbing Error State (Inescapable conflict)
+    | STerminal a  -- ^ Deferred product state (e.g., recursive meet)
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+-- | Immutability bitfield.
+data Quals = Quals { qConst :: Bool }
+    deriving (Show, Eq, Ord, Generic)
+
+-- | Nullability Lattice: Nonnull < Unspecified < Nullable
+data Nullability = QNonnull' | QUnspecified | QNullable'
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+-- | Ownership states for linear types.
+data Ownership = QNonOwned' | QOwned'
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+-- | Indexing for polymorphic variables (e.g., cbs[i]).
+data Index tid
+    = ILit Integer
+    | IVar tid
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+-- | Phase of analysis for template identification.
+data LatticePhase = PGlobal | PLocal
+    deriving (Show, Read, Eq, Ord, Generic, Bounded, Enum)
+
+instance Hashable LatticePhase
+
+-- | Unique identity for templates and refined variables.
+-- Supports locally stable Skolem variables for bisimulation.
+data TemplateId
+    = TIdName Text
+    | TIdParam LatticePhase Word32 (Maybe Text)
+    | TIdSkolem {
+        skParentL :: Word32, -- ^ ID of the left parent node in product
+        skParentR :: Word32, -- ^ ID of the right parent node in product
+        skIndex   :: Word32  -- ^ Index of the binder
+      }
+    | TIdInstance Integer    -- ^ Bind to a unique pointer instance ID
+    | TIdDeBruijn Word32     -- ^ Canonicalized variable for memoization
+    deriving (Show, Eq, Ord, Generic)
+
+instance Hashable TemplateId
diff --git a/src/Language/Cimple/Analysis/Scope.hs b/src/Language/Cimple/Analysis/Scope.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Scope.hs
@@ -0,0 +1,465 @@
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+-- | This module implements the Scope Binding pass.
+--
+-- This pass traverses the AST and replaces all variable names (Text) with
+-- unique identifiers (ScopedId). This eliminates any ambiguity from name
+-- shadowing and is a prerequisite for a correct and precise points-to analysis.
+module Language.Cimple.Analysis.Scope
+    ( ScopedId(..)
+    , ScopeState(..)
+    , runScopePass
+    , initialScopeState
+    , dummyScopedId
+    ) where
+
+import           Control.Monad              (forM, forM_, msum, when)
+import           Control.Monad.State.Strict (State, get, gets, modify, put,
+                                             runState)
+import           Data.Fix                   (Fix (..), unFix)
+import           Data.Hashable              (Hashable (..))
+import           Data.List                  (permutations)
+import           Data.Map.Strict            (Map)
+import qualified Data.Map.Strict            as Map
+import           Data.Maybe                 (catMaybes, fromMaybe, mapMaybe)
+import           Data.String                (IsString (..))
+import           Data.Text                  (Text)
+import qualified Data.Text                  as Text
+import           Debug.Trace                (trace)
+import qualified Language.Cimple            as C
+import           Language.Cimple.Pretty     (showNodePlain)
+import           Prettyprinter              (Pretty (..), (<>))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then trace msg x else x
+
+-- | A unique identifier for a variable, including its original name and scope info.
+data ScopedId = ScopedId
+    { sidUniqueId :: Int    -- ^ The globally unique ID.
+    , sidName     :: Text   -- ^ The original name, for debugging.
+    , sidScope    :: C.Scope -- ^ The scope it was defined in (Global or Static).
+    } deriving (Show)
+
+instance Eq ScopedId where
+    a == b = sidUniqueId a == sidUniqueId b
+
+instance Ord ScopedId where
+    compare a b = compare (sidUniqueId a) (sidUniqueId b)
+
+instance Hashable ScopedId where
+    hashWithSalt salt sid = hashWithSalt salt (sidUniqueId sid)
+
+instance Pretty ScopedId where
+    pretty sid | sidUniqueId sid == 0 = pretty (sidName sid)
+               | otherwise            = pretty (sidName sid) <> "_" <> pretty (sidUniqueId sid)
+
+instance IsString ScopedId where
+    fromString = dummyScopedId . Text.pack
+
+
+-- | A stack of symbol tables, one for each scope.
+type SymbolTable = [Map Text ScopedId]
+
+-- | The state for the scope analysis traversal.
+data ScopeState = ScopeState
+    { ssTable        :: SymbolTable -- ^ The stack of symbol tables.
+    , ssNextId       :: Int         -- ^ The next available unique ID.
+    , ssCurrentScope :: C.Scope     -- ^ The scope of the current function.
+    , ssErrors       :: [String]    -- ^ A list of errors encountered.
+    , ssFuncParamIds :: Map Text [ScopedId]
+    } deriving (Show)
+
+-- | The initial state for the scope analysis.
+initialScopeState :: ScopeState
+initialScopeState = ScopeState [Map.empty] 1 C.Global [] Map.empty
+
+-- | Runs the scope binding pass on a list of translation units.
+runScopePass :: [C.Node (C.Lexeme Text)] -> ([C.Node (C.Lexeme ScopedId)], ScopeState)
+runScopePass tu = runState (transformToplevels tu) initialScopeState
+
+-- | Helper to push a new scope onto the symbol table stack.
+pushScope :: State ScopeState ()
+pushScope = do
+    st <- get
+    let newSt = st { ssTable = Map.empty : ssTable st }
+    dtrace ("pushScope: new depth = " ++ show (length (ssTable newSt))) $ put newSt
+
+-- | Helper to pop a scope from the symbol table stack.
+popScope :: State ScopeState ()
+popScope = do
+    st <- get
+    case ssTable st of
+        (_:rest) -> do
+            let newSt = st { ssTable = rest }
+            dtrace ("popScope: new depth = " ++ show (length (ssTable newSt))) $ put newSt
+        [] -> error "popScope: Symbol table stack is empty"
+
+-- | Adds a new variable to the current scope.
+addVarToScope :: Text -> State ScopeState ScopedId
+addVarToScope name = do
+    st <- get
+    let newId = ssNextId st
+    let scope = if length (ssTable st) == 1 then C.Global else C.Local
+    let scopedId = ScopedId newId name scope
+    let newTable = case ssTable st of
+            []             -> error "Symbol table stack is empty"
+            (current:rest) -> Map.insert name scopedId current : rest
+    dtrace ("addVarToScope: " ++ show name ++ " -> " ++ show scopedId ++ " in scope " ++ show scope ++ "\n  TABLE_BEFORE: " ++ show (ssTable st) ++ "\n  TABLE_AFTER: " ++ show newTable) $
+        put $ st { ssTable = newTable, ssNextId = newId + 1 }
+    return scopedId
+
+addScopedIdToScope :: Text -> ScopedId -> State ScopeState ()
+addScopedIdToScope name scopedId = do
+    st <- get
+    let newTable = case ssTable st of
+            []             -> error "Symbol table stack is empty"
+            (current:rest) -> Map.insert name scopedId current : rest
+    put $ st { ssTable = newTable }
+
+-- | Adds a variable to the global scope (the last element in the symbol table stack)
+addVarToGlobalScope :: C.Scope -> Text -> State ScopeState ScopedId
+addVarToGlobalScope scope name = do
+    st <- get
+    let newId = ssNextId st
+    let scopedId = ScopedId newId name scope
+    let newTable = case reverse (ssTable st) of
+            (globals:locals) -> reverse (Map.insert name scopedId globals : locals)
+            [] -> error "addVarToGlobalScope: empty symbol table"
+    dtrace ("addVarToGlobalScope: " ++ show name ++ " -> " ++ show scopedId ++ "\n  TABLE_BEFORE: " ++ show (ssTable st) ++ "\n  TABLE_AFTER: " ++ show newTable) $
+        put $ st { ssTable = newTable, ssNextId = newId + 1 }
+    return scopedId
+
+-- | Looks up a variable only in the global scope
+lookupVarInGlobalScope :: Text -> State ScopeState (Maybe ScopedId)
+lookupVarInGlobalScope name = do
+    st <- get
+    let result = Map.lookup name (last (ssTable st))
+    dtrace ("lookupVarInGlobalScope: " ++ show name ++ " -> " ++ show result) $ return result
+
+-- | Finds an existing ScopedId for a toplevel name or creates a new one.
+findOrCreateToplevelId :: C.Scope -> Text -> State ScopeState ScopedId
+findOrCreateToplevelId scope name = do
+    dtrace ("findOrCreateToplevelId: " ++ show name) $ do
+        mSid <- lookupVarInGlobalScope name
+        case mSid of
+            Just sid -> dtrace ("  found existing: " ++ show sid) $ return sid
+            Nothing  -> dtrace "  not found, creating new." $ addVarToGlobalScope scope name
+
+-- | Looks up a variable in the symbol table stack.
+lookupVar :: Text -> State ScopeState ScopedId
+lookupVar name = do
+    st <- get
+    let result = msum $ map (Map.lookup name) (ssTable st)
+    dtrace ("lookupVar: " ++ show name ++ " in table " ++ show (ssTable st) ++ " -> " ++ show result) $
+        case result of
+            Just scopedId -> return scopedId
+            Nothing       -> do
+                let err = "Undeclared variable: " ++ show name
+                put $ st { ssErrors = ssErrors st ++ [err] }
+                return $ dummyScopedId name
+
+-- | Creates a dummy ScopedId for non-variable identifiers like struct fields.
+dummyScopedId :: Text -> ScopedId
+dummyScopedId name = ScopedId 0 name C.Global
+
+transformToplevels :: [C.Node (C.Lexeme Text)] -> State ScopeState [C.Node (C.Lexeme ScopedId)]
+transformToplevels = mapM transformNode
+
+transformLexeme :: C.Lexeme Text -> State ScopeState (C.Lexeme ScopedId)
+transformLexeme (C.L pos cls text) = return $ C.L pos cls (dummyScopedId text)
+
+transformComment :: C.Comment (C.Lexeme Text) -> State ScopeState (C.Comment (C.Lexeme ScopedId))
+transformComment (Fix commentNode) = Fix <$> case commentNode of
+    C.DocComment as -> C.DocComment <$> mapM transformComment as
+    C.DocAttention -> return C.DocAttention
+    C.DocBrief -> return C.DocBrief
+    C.DocDeprecated -> return C.DocDeprecated
+    C.DocExtends l -> C.DocExtends <$> transformLexeme l
+    C.DocFile -> return C.DocFile
+    C.DocImplements l -> C.DocImplements <$> transformLexeme l
+    C.DocNote -> return C.DocNote
+    C.DocParam ml l -> C.DocParam <$> traverse transformLexeme ml <*> transformLexeme l
+    C.DocReturn -> return C.DocReturn
+    C.DocRetval -> return C.DocRetval
+    C.DocSection l -> C.DocSection <$> transformLexeme l
+    C.DocSecurityRank l ml' l' -> C.DocSecurityRank <$> transformLexeme l <*> traverse transformLexeme ml' <*> transformLexeme l'
+    C.DocSee l -> C.DocSee <$> transformLexeme l
+    C.DocSubsection l -> C.DocSubsection <$> transformLexeme l
+    C.DocPrivate -> return C.DocPrivate
+    C.DocLine as -> C.DocLine <$> mapM transformComment as
+    C.DocCode l as l' -> C.DocCode <$> transformLexeme l <*> mapM transformComment as <*> transformLexeme l'
+    C.DocWord l -> C.DocWord <$> transformLexeme l
+    C.DocRef l -> C.DocRef <$> transformLexeme l
+    C.DocP l -> C.DocP <$> transformLexeme l
+
+transformNode :: C.Node (C.Lexeme Text) -> State ScopeState (C.Node (C.Lexeme ScopedId))
+transformNode (Fix node) = dtrace ("transformNode: " ++ Text.unpack (showNodePlain (Fix node))) $ Fix <$> case node of
+    C.FunctionDefn fScope (Fix (C.FunctionPrototype ty (C.L pos cls name) params)) body -> do
+        funcSid <- findOrCreateToplevelId C.Global name
+        modify $ \st -> st { ssCurrentScope = fScope }
+        pushScope
+        mParamIds <- gets (Map.lookup name . ssFuncParamIds)
+        case mParamIds of
+            Just pids -> do
+                let namedParams = mapMaybe (\case (Fix (C.VarDecl _ (C.L _ _ paramName) _)) -> Just paramName; _ -> Nothing) params
+                when (length pids /= length namedParams) $
+                    error $ "Function " ++ show name ++ " has multiple definitions with different number of parameters."
+                forM_ (zip namedParams pids) $ \(paramName, pid) -> do
+                    addScopedIdToScope paramName pid
+            Nothing -> do
+                newPids <- forM params $ \paramNode -> do
+                    case unFix paramNode of
+                        C.VarDecl _ (C.L _ _ paramName) _ -> Just <$> addVarToScope paramName
+                        _                                 -> return Nothing
+                modify $ \st -> st { ssFuncParamIds = Map.insert name (catMaybes newPids) (ssFuncParamIds st) }
+        transformedParams <- mapM transformNode params
+        transformedBody <- transformNode body
+        popScope
+        modify $ \st -> st { ssCurrentScope = C.Global }
+        transformedTy <- transformNode ty
+        let transformedProto = C.FunctionPrototype transformedTy (C.L pos cls funcSid) transformedParams
+        return (C.FunctionDefn fScope (Fix transformedProto) transformedBody)
+
+    C.FunctionDecl scope childNode -> do
+        let transformedNode = case unFix childNode of
+                C.FunctionPrototype ty (C.L pos cls name) params -> do
+                    funcSid <- findOrCreateToplevelId scope name
+                    pushScope
+                    transformedParams <- mapM transformNode params
+                    popScope
+                    transformedTy <- transformNode ty
+                    let transformedProto = C.FunctionPrototype transformedTy (C.L pos cls funcSid) transformedParams
+                    return (Fix transformedProto)
+                _ -> transformNode childNode
+        C.FunctionDecl scope <$> transformedNode
+
+    C.CompoundStmt stmts -> do
+        pushScope
+        transformedStmts <- mapM transformNode stmts
+        popScope
+        return (C.CompoundStmt transformedStmts)
+
+    C.ForStmt init' cond next body -> do
+        pushScope
+        transformedInit <- transformNode init'
+        transformedCond <- transformNode cond
+        transformedNext <- transformNode next
+        transformedBody <- transformNode body
+        popScope
+        return (C.ForStmt transformedInit transformedCond transformedNext transformedBody)
+
+    C.VarDecl ty (C.L pos cls name) arr -> do
+        st <- get
+        let currentScope = case ssTable st of
+                (scope:_) -> scope
+                []        -> error "transformNode: Symbol table stack is empty"
+        scopedId <- case Map.lookup name currentScope of
+            Just sid -> return sid
+            Nothing  -> addVarToScope name
+        C.VarDecl <$> transformNode ty
+                   <*> pure (C.L pos cls scopedId)
+                   <*> mapM transformNode arr
+
+    C.VarDeclStmt decl mInit -> do
+        transformedDecl <- transformNode decl
+        transformedMInit <- traverse transformNode mInit
+        return (C.VarDeclStmt transformedDecl transformedMInit)
+
+    C.VarExpr (C.L pos cls name) -> do
+        scopedId <- lookupVar name
+        return $ C.VarExpr (C.L pos cls scopedId)
+
+    C.IfStmt cond thenB mElseB -> do
+        transformedCond <- transformNode cond
+        transformedThenB <- transformNode thenB
+        transformedMElseB <- traverse transformNode mElseB
+        return (C.IfStmt transformedCond transformedThenB transformedMElseB)
+
+    C.ConstDefn scope ty (C.L pos cls name) val -> do
+        scopedId <- addVarToScope name
+        C.ConstDefn scope <$> transformNode ty
+                           <*> pure (C.L pos cls scopedId)
+                           <*> transformNode val
+
+    C.ConstDecl ty (C.L pos cls name) -> do
+        scopedId <- addVarToGlobalScope C.Global name
+        C.ConstDecl <$> transformNode ty
+                     <*> pure (C.L pos cls scopedId)
+
+    C.Typedef ty (C.L pos cls name) -> do
+        -- We don't need to store typedefs in the variable symbol table.
+        C.Typedef <$> transformNode ty <*> pure (C.L pos cls (dummyScopedId name))
+
+    C.AggregateDecl decl -> C.AggregateDecl <$> transformNode decl
+
+    C.Struct (C.L pos cls name) members -> do
+        -- We don't need to store struct names in the variable symbol table.
+        C.Struct (C.L pos cls (dummyScopedId name)) <$> mapM transformNode members
+
+    C.Union (C.L pos cls name) members -> do
+        -- We don't need to store union names in the variable symbol table.
+        C.Union (C.L pos cls (dummyScopedId name)) <$> mapM transformNode members
+
+    C.EnumDecl (C.L pos cls name) enums (C.L pos' cls' tyName) -> do
+        -- We don't need to store enum type names in the variable symbol table.
+        -- However, the enumerators themselves are constants and should be added.
+        transformedEnums <- mapM transformNode enums
+        return (C.EnumDecl (C.L pos cls (dummyScopedId name)) transformedEnums (C.L pos' cls' (dummyScopedId tyName)))
+
+    C.EnumConsts mName enums -> do
+        -- Enum constants are added to the global scope.
+        mScopedId <- forM mName $ \(C.L pos cls name) -> do
+            scopedId <- addVarToGlobalScope C.Global name
+            return (C.L pos cls scopedId)
+        transformedEnums <- mapM transformNode enums
+        return (C.EnumConsts mScopedId transformedEnums)
+
+    C.Enumerator (C.L pos cls name) mVal -> do
+        -- Each enumerator is a constant in the global scope.
+        scopedId <- addVarToGlobalScope C.Global name
+        C.Enumerator (C.L pos cls scopedId) <$> traverse transformNode mVal
+
+    C.MemberDecl decl mBits -> C.MemberDecl <$> transformNode decl <*> traverse transformLexeme mBits
+
+    C.TypedefFunction (Fix (C.FunctionPrototype ty (C.L pos cls name) params)) -> do
+        -- The typedef name itself is a type, not a variable.
+        -- The parameters are in a temporary scope for the declaration.
+        pushScope
+        transformedParams <- mapM transformNode params
+        popScope
+        transformedTy <- transformNode ty
+        let transformedProtoNode = C.FunctionPrototype transformedTy (C.L pos cls (dummyScopedId name)) transformedParams
+        return (C.TypedefFunction (Fix transformedProtoNode))
+
+    C.FunctionCall fun args -> C.FunctionCall <$> transformNode fun <*> mapM transformNode args
+    C.Label (C.L pos cls name) stmt -> C.Label (C.L pos cls (dummyScopedId name)) <$> transformNode stmt
+    C.Goto (C.L pos cls name) -> return $ C.Goto (C.L pos cls (dummyScopedId name))
+    C.SwitchStmt cond body -> C.SwitchStmt <$> transformNode cond <*> mapM transformNode body
+    C.WhileStmt cond body -> C.WhileStmt <$> transformNode cond <*> transformNode body
+    C.DoWhileStmt body cond -> C.DoWhileStmt <$> transformNode body <*> transformNode cond
+    C.Return mExpr -> C.Return <$> traverse transformNode mExpr
+    C.ExprStmt expr -> C.ExprStmt <$> transformNode expr
+    C.AssignExpr lhs op rhs -> C.AssignExpr <$> transformNode lhs <*> pure op <*> transformNode rhs
+    C.MemberAccess base (C.L pos cls field) -> C.MemberAccess <$> transformNode base <*> pure (C.L pos cls (dummyScopedId field))
+    C.PointerAccess base (C.L pos cls field) -> C.PointerAccess <$> transformNode base <*> pure (C.L pos cls (dummyScopedId field))
+    C.ArrayAccess base idx -> C.ArrayAccess <$> transformNode base <*> transformNode idx
+    C.UnaryExpr op expr -> C.UnaryExpr op <$> transformNode expr
+    C.BinaryExpr lhs op rhs -> C.BinaryExpr <$> transformNode lhs <*> pure op <*> transformNode rhs
+    C.TernaryExpr cond thenExpr elseExpr -> C.TernaryExpr <$> transformNode cond <*> transformNode thenExpr <*> transformNode elseExpr
+    C.ParenExpr expr -> C.ParenExpr <$> transformNode expr
+    C.CastExpr ty expr -> C.CastExpr <$> transformNode ty <*> transformNode expr
+    C.SizeofExpr expr -> C.SizeofExpr <$> transformNode expr
+    C.SizeofType ty -> C.SizeofType <$> transformNode ty
+    C.LiteralExpr C.ConstId (C.L pos cls name) -> do
+        scopedId <- lookupVar name
+        return $ C.VarExpr (C.L pos cls scopedId)
+    C.LiteralExpr ty l -> return $ C.LiteralExpr ty (fmap dummyScopedId l)
+    C.TyStd l -> return $ C.TyStd (fmap dummyScopedId l)
+    C.TyPointer ty -> C.TyPointer <$> transformNode ty
+    C.TyStruct l -> return $ C.TyStruct (fmap dummyScopedId l)
+    C.TyUnion l -> return $ C.TyUnion (fmap dummyScopedId l)
+    C.TyUserDefined l -> return $ C.TyUserDefined (fmap dummyScopedId l)
+    C.Break -> return C.Break
+    C.Continue -> return C.Continue
+    C.Case cond stmt -> C.Case <$> transformNode cond <*> transformNode stmt
+    C.Default stmt -> C.Default <$> transformNode stmt
+    C.InitialiserList exprs -> C.InitialiserList <$> mapM transformNode exprs
+    C.TyConst ty -> C.TyConst <$> transformNode ty
+    C.TyFunc l -> return $ C.TyFunc (fmap dummyScopedId l)
+    C.Ellipsis -> return C.Ellipsis
+
+    C.PreprocIf cond thenNodes elseNode -> C.PreprocIf <$> transformNode cond <*> mapM transformNode thenNodes <*> transformNode elseNode
+    C.PreprocIfdef (C.L pos cls name) thenNodes elseNode -> C.PreprocIfdef . C.L pos cls <$> lookupVar name <*> mapM transformNode thenNodes <*> transformNode elseNode
+    C.PreprocIfndef (C.L pos cls name) thenNodes elseNode -> C.PreprocIfndef . C.L pos cls <$> lookupVar name <*> mapM transformNode thenNodes <*> transformNode elseNode
+    C.PreprocElse nodes -> C.PreprocElse <$> mapM transformNode nodes
+
+    C.Commented c e -> C.Commented <$> transformNode c <*> transformNode e
+    C.Comment style start contents end -> C.Comment style <$> transformLexeme start <*> mapM transformLexeme contents <*> transformLexeme end
+    C.Group nodes -> C.Group <$> mapM transformNode nodes
+    C.ExternC nodes -> C.ExternC <$> mapM transformNode nodes
+
+    C.LicenseDecl l nodes -> C.LicenseDecl <$> transformLexeme l <*> mapM transformNode nodes
+
+    C.CopyrightDecl l ml ls -> C.CopyrightDecl <$> transformLexeme l <*> traverse transformLexeme ml <*> mapM transformLexeme ls
+
+    C.PreprocInclude l -> C.PreprocInclude <$> transformLexeme l
+
+    C.PreprocDefineConst (C.L pos cls name) val -> do
+        scopedId <- addVarToGlobalScope C.Global name
+        C.PreprocDefineConst (C.L pos cls scopedId) <$> transformNode val
+
+    C.DeclSpecArray n ma -> C.DeclSpecArray n <$> traverse transformNode ma
+
+    C.PreprocDefine (C.L pos cls name) -> do
+        scopedId <- addVarToGlobalScope C.Global name
+        return $ C.PreprocDefine (C.L pos cls scopedId)
+
+    C.CommentInfo c -> C.CommentInfo <$> transformComment c
+
+    C.CommentExpr a b -> C.CommentExpr <$> transformNode a <*> transformNode b
+
+    C.VLA ty (C.L pos cls name) size -> do
+        scopedId <- addVarToScope name
+        C.VLA <$> transformNode ty
+              <*> pure (C.L pos cls scopedId)
+              <*> transformNode size
+
+    C.CommentSection a as b -> C.CommentSection <$> transformNode a <*> mapM transformNode as <*> transformNode b
+
+    C.CommentSectionEnd l -> C.CommentSectionEnd <$> transformLexeme l
+
+    C.TyNonnull a -> C.TyNonnull <$> transformNode a
+
+    C.TyNullable a -> C.TyNullable <$> transformNode a
+
+    C.TyOwner a -> C.TyOwner <$> transformNode a
+
+    C.StaticAssert a l -> C.StaticAssert <$> transformNode a <*> transformLexeme l
+
+    C.PreprocDefined (C.L pos cls name) -> do
+        scopedId <- lookupVar name
+        return $ C.PreprocDefined (C.L pos cls scopedId)
+
+    C.PreprocElif a as b -> C.PreprocElif <$> transformNode a <*> mapM transformNode as <*> transformNode b
+
+    C.PreprocScopedDefine a as b -> C.PreprocScopedDefine <$> transformNode a <*> mapM transformNode as <*> transformNode b
+
+    C.PreprocDefineMacro (C.L pos cls name) params body -> do
+        scopedId <- addVarToGlobalScope C.Global name
+        pushScope
+        transformedParams <- mapM transformNode params
+        transformedBody <- transformNode body
+        popScope
+        return $ C.PreprocDefineMacro (C.L pos cls scopedId) transformedParams transformedBody
+
+    C.MacroParam (C.L pos cls name) -> do
+        scopedId <- addVarToScope name
+        return $ C.MacroParam (C.L pos cls scopedId)
+
+    C.MacroBodyStmt a -> C.MacroBodyStmt <$> transformNode a
+
+    C.PreprocUndef (C.L pos cls name) -> do
+        scopedId <- lookupVar name
+        return $ C.PreprocUndef (C.L pos cls scopedId)
+
+    C.CallbackDecl typeLexeme (C.L pos cls name) -> do
+        scopedId <- lookupVar name
+        C.CallbackDecl <$> transformLexeme typeLexeme
+                       <*> pure (C.L pos cls scopedId)
+
+    C.CompoundLiteral a b -> C.CompoundLiteral <$> transformNode a <*> transformNode b
+
+    C.TyForce a -> C.TyForce <$> transformNode a
+
+    C.TyBitwise a -> C.TyBitwise <$> transformNode a
+
+    C.AttrPrintf l l' a -> C.AttrPrintf <$> transformLexeme l <*> transformLexeme l' <*> transformNode a
+
+    C.MacroBodyFunCall a -> C.MacroBodyFunCall <$> transformNode a
+
+    other -> error $ "transformNode: Unhandled AST node: " ++ show (fmap (const ()) other)
diff --git a/src/Language/Cimple/Analysis/TypeCheck.hs b/src/Language/Cimple/Analysis/TypeCheck.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeCheck.hs
@@ -0,0 +1,1382 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeCheck (typeCheckProgram, TypeCheckState(..), checkStmt, checkFunctionDefn, collectDefinitions, inferExpr, reportError, lookupMember, checkExprWithExpected) where
+
+import           Control.Applicative                            ((<|>))
+import           Control.Arrow                                  (second)
+import           Control.Monad                                  (foldM, forM_,
+                                                                 join)
+import           Control.Monad.State.Strict                     (State, StateT,
+                                                                 lift)
+import qualified Control.Monad.State.Strict                     as State
+import           Data.Fix                                       (Fix (..),
+                                                                 foldFix, unFix)
+import qualified Data.Graph                                     as Graph
+import           Data.List                                      (find)
+import           Data.Map.Strict                                (Map)
+import qualified Data.Map.Strict                                as Map
+import           Data.Maybe                                     (catMaybes,
+                                                                 fromMaybe,
+                                                                 isJust,
+                                                                 mapMaybe)
+import           Data.Set                                       (Set)
+import qualified Data.Set                                       as Set
+import           Data.Text                                      (Text)
+import qualified Data.Text                                      as T
+import qualified Data.Text                                      as Text
+import qualified Debug.Trace                                    as Debug
+import           Language.Cimple                                (Lexeme (..),
+                                                                 Node,
+                                                                 NodeF (..))
+import qualified Language.Cimple                                as C
+import           Language.Cimple.Analysis.AstUtils              (getLexeme,
+                                                                 isLvalue)
+import           Language.Cimple.Analysis.BuiltinMap            (builtinMap)
+import           Language.Cimple.Analysis.Errors
+import           Language.Cimple.Analysis.Pretty                (explainType,
+                                                                 ppErrorInfo,
+                                                                 showType)
+import           Language.Cimple.Analysis.TypeCheck.Constraints (extractConstraints)
+import           Language.Cimple.Analysis.TypeCheck.Solver      (solveConstraints)
+import           Language.Cimple.Analysis.TypeSystem            (pattern Array, pattern BuiltinType,
+                                                                 pattern Conflict,
+                                                                 pattern Const,
+                                                                 pattern EnumMem,
+                                                                 pattern ExternalType,
+                                                                 FullTemplate,
+                                                                 pattern FullTemplate,
+                                                                 FullTemplateF (..),
+                                                                 pattern Function,
+                                                                 pattern IntLit,
+                                                                 pattern NameLit,
+                                                                 pattern Nonnull,
+                                                                 pattern Nullable,
+                                                                 pattern Owner,
+                                                                 Phase (..),
+                                                                 pattern Pointer,
+                                                                 pattern Proxy,
+                                                                 pattern Qualified,
+                                                                 pattern Singleton,
+                                                                 pattern Sized,
+                                                                 StdType (..),
+                                                                 pattern Template,
+                                                                 TemplateId (..),
+                                                                 TypeDescr (..),
+                                                                 TypeInfo,
+                                                                 TypeInfoF (..),
+                                                                 TypeRef (..),
+                                                                 pattern TypeRef,
+                                                                 TypeSystem,
+                                                                 pattern Unconstrained,
+                                                                 pattern Var,
+                                                                 pattern VarArg,
+                                                                 builtin,
+                                                                 containsTemplate,
+                                                                 getInnerType,
+                                                                 getTypeLexeme,
+                                                                 isAnyStruct,
+                                                                 isInt,
+                                                                 isLPTSTR,
+                                                                 isNetworkingStruct,
+                                                                 isPointerLike,
+                                                                 isPointerToChar,
+                                                                 isSockaddr,
+                                                                 isSpecial,
+                                                                 lookupType,
+                                                                 promote,
+                                                                 templateIdBaseName,
+                                                                 templateIdToText,
+                                                                 unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem            as TS
+import qualified Language.Cimple.Analysis.TypeSystem            as TypeSystem
+import qualified Language.Cimple.Program                        as Program
+import           Prettyprinter                                  (Doc, defaultLayoutOptions,
+                                                                 layoutPretty,
+                                                                 unAnnotate)
+import           Prettyprinter.Render.Terminal                  (AnsiStyle,
+                                                                 renderStrict)
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+-- | Type checking state
+data TypeCheckState = TypeCheckState
+    { tcsTypeSystem :: TypeSystem
+    , tcsVars       :: Map Text (TypeInfo 'Local, Provenance 'Local)
+    , tcsMacros     :: Map Text ([Text], Node (Lexeme Text))
+    , tcsBounds     :: Map (FullTemplate 'Local) (TypeInfo 'Local, Provenance 'Local)
+    , tcsNextId     :: Int
+    , tcsErrors     :: [ErrorInfo 'Local]
+    , tcsReturnType :: Maybe (TypeInfo 'Local)
+    , tcsGlobals    :: Set Text
+    , tcsContext    :: [Context 'Local]
+    }
+
+type TypeCheck = State TypeCheckState
+
+-- | Push a context onto the stack
+pushContext :: Context 'Local -> TypeCheck ()
+pushContext c = State.modify $ \s -> s { tcsContext = c : tcsContext s }
+
+-- | Pop a context from the stack
+popContext :: TypeCheck ()
+popContext = State.modify $ \s -> s { tcsContext = drop 1 (tcsContext s) }
+
+-- | Execute an action within a context
+withContext :: Context 'Local -> TypeCheck a -> TypeCheck a
+withContext c m = do
+    pushContext c
+    res <- m
+    popContext
+    return res
+
+-- | Execute an action within an expression context
+atExpr :: Node (Lexeme Text) -> TypeCheck a -> TypeCheck a
+atExpr = withContext . InExpr
+
+-- | Execute an action within a statement context
+atStmt :: Node (Lexeme Text) -> TypeCheck a -> TypeCheck a
+atStmt = withContext . InStmt
+
+-- | Report a structured error
+reportTypeError :: TypeError 'Local -> TypeCheck ()
+reportTypeError err = do
+    ctx <- State.gets tcsContext
+    bounds <- State.gets tcsBounds
+    let loc = findLoc ctx
+    (err', expls) <- case err of
+        TypeMismatch exp' act reason mDetail -> do
+            eResolved <- resolveType =<< applyBindings exp'
+            aResolved <- resolveType =<< applyBindings act
+            let expls = explainType bounds exp' ++ explainType bounds act
+            return (TypeMismatch eResolved aResolved reason mDetail, expls)
+        _ -> return (err, [])
+    State.modify $ \s -> s { tcsErrors = tcsErrors s ++ [ErrorInfo loc ctx err' expls] }
+  where
+    findLoc []                    = Nothing
+    findLoc (InExpr n : _)        = getLexeme n
+    findLoc (InStmt n : _)        = getLexeme n
+    findLoc (InInitializer n : _) = getLexeme n
+    findLoc (_ : cs)              = findLoc cs
+
+-- | Report an error (legacy)
+reportError :: Maybe (Lexeme Text) -> Text -> TypeCheck ()
+reportError l msg = do
+    ctx <- State.gets tcsContext
+    State.modify $ \s -> s { tcsErrors = tcsErrors s ++ [ErrorInfo l ctx (CustomError msg) []] }
+
+nextTemplate :: Maybe Text -> TypeCheck (TypeInfo 'Local)
+nextTemplate mHint = do
+    i <- State.gets tcsNextId
+    State.modify $ \s -> s { tcsNextId = i + 1 }
+    return $ Template (TIdSolver i mHint) Nothing
+
+getCallable :: TypeInfo 'Local -> TypeCheck (Maybe (TypeInfo 'Local, [TypeInfo 'Local]))
+getCallable ty = do
+    rt <- resolveType ty
+    case unwrap rt of
+        Function ret params -> return $ Just (ret, params)
+        Pointer p -> getCallable p
+        TypeRef FuncRef (L _ _ tid) args -> do
+            let name = templateIdBaseName tid
+            ts <- State.gets tcsTypeSystem
+            case lookupType name ts of
+                Just descr -> do
+                    dtraceM $ "getCallable expanding " ++ Text.unpack name ++ " with args " ++ show args
+                    case TypeSystem.instantiateDescr 0 Nothing (Map.fromList (zip (TypeSystem.getDescrTemplates descr) args)) descr of
+                        FuncDescr _ _ ret params -> return $ Just (ret, params)
+                        _ -> return Nothing
+                Nothing -> return Nothing
+        _ -> return Nothing
+
+resolveType :: TypeInfo 'Local -> TypeCheck (TypeInfo 'Local)
+resolveType ty = case unFix ty of
+    PointerF t -> Pointer <$> resolveType t
+    QualifiedF qs t -> Qualified qs <$> resolveType t
+    SizedF t l -> flip Sized l <$> resolveType t
+    _ -> do
+        ts <- State.gets tcsTypeSystem
+        bounds <- State.gets tcsBounds
+        let initialKey = toKey ty
+            reachableKeys = collectReachable ts bounds Set.empty [initialKey]
+            nodes = [ (k, k, getDeps ts bounds k) | k <- Set.toList reachableKeys ]
+            sccs = Graph.stronglyConnComp nodes
+            resolvedMap = foldl (resolveScc ts bounds) Map.empty sccs
+        return $ fromMaybe ty (Map.lookup initialKey resolvedMap)
+  where
+    toKey (Fix (VarF _ inner)) = toKey inner
+    toKey t@(Fix (TypeRefF _ (L _ _ tid) _)) = (Left (templateIdBaseName tid), Just t)
+    toKey t@(Fix (TemplateF ft)) = (Right ft, Just t)
+    toKey t = (Left "", Just t)
+
+    getDeps ts bounds = \case
+        (Left name, _) ->
+            if name == "" then []
+            else case lookupType name ts of
+                Just (AliasDescr _ _ target) -> [toKey (TS.toLocal 0 Nothing target)]
+                _                            -> []
+        (Right key, _) ->
+            case Map.lookup key bounds of
+                Just (target, _) -> [toKey target]
+                _                -> []
+
+    collectReachable _ _ seen [] = seen
+    collectReachable ts bounds seen (k:ks)
+        | Set.member k seen = collectReachable ts bounds seen ks
+        | otherwise = collectReachable ts bounds (Set.insert k seen) (getDeps ts bounds k ++ ks)
+
+    resolveScc ts bounds acc (Graph.AcyclicSCC k@(key, mTy)) =
+        case key of
+            Left name ->
+                if name == "" then Map.insert k (fromMaybe (TS.Unsupported "empty") mTy) acc
+                else case lookupType name ts of
+                    Just (AliasDescr _ _ target) -> Map.insert k (fromMaybe (TS.toLocal 0 Nothing target) (Map.lookup (toKey (TS.toLocal 0 Nothing target)) acc)) acc
+                    Just (StructDescr ld _ _) -> Map.insert k (fromMaybe (TypeRef StructRef (fmap (const (TIdAnonymous (Just (C.lexemeText ld)))) ld) []) mTy) acc
+                    Just (UnionDescr ld _ _)  -> Map.insert k (fromMaybe (TypeRef UnionRef (fmap (const (TIdAnonymous (Just (C.lexemeText ld)))) ld) []) mTy) acc
+                    Just (EnumDescr ld _)     -> Map.insert k (fromMaybe (TypeRef EnumRef (fmap (const (TIdAnonymous (Just (C.lexemeText ld)))) ld) []) mTy) acc
+                    Just (IntDescr ld _)      -> Map.insert k (fromMaybe (TypeRef IntRef (fmap (const (TIdAnonymous (Just (C.lexemeText ld)))) ld) []) mTy) acc
+                    Just (FuncDescr _ _ ret params) -> Map.insert k (Function (TS.toLocal 0 Nothing ret) (map (TS.toLocal 0 Nothing) params)) acc
+                    _ -> Map.insert k (fromMaybe (TS.Unsupported "unknown") mTy) acc
+            Right k' ->
+                case Map.lookup k' bounds of
+                    Just (target, _) -> Map.insert k (fromMaybe target (Map.lookup (toKey target) acc)) acc
+                    _ -> Map.insert k (fromMaybe (TS.Unsupported "unknown template") mTy) acc
+
+    resolveScc _ _ acc (Graph.CyclicSCC ks) =
+        foldl (\m k@(_, mTy) -> Map.insert k (fromMaybe (TS.Unsupported "cycle") mTy) m) acc ks
+
+
+
+insertType :: Lexeme Text -> TypeDescr 'Global -> TypeCheck ()
+insertType name ty = do
+    let nameText = C.lexemeText name
+    existing <- State.gets (Map.lookup nameText . tcsTypeSystem)
+    case (ty, existing) of
+        -- If we have a typedef that points to a struct/union/enum of the same name,
+        -- and we already have the definition, ignore the typedef.
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just StructDescr{}) | templateIdBaseName tid == nameText ->
+            return ()
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just UnionDescr{})  | templateIdBaseName tid == nameText ->
+            return ()
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just EnumDescr{})   | templateIdBaseName tid == nameText ->
+            return ()
+
+        -- If we are adding a definition and we have a typedef of the same name
+        -- that points to this name, overwrite it.
+        (StructDescr{}, Just (AliasDescr _ _ (TypeRef _ (L _ _ tid) _))) | templateIdBaseName tid == nameText ->
+            State.modify $ \s -> s { tcsTypeSystem = Map.insert nameText ty (tcsTypeSystem s) }
+        (UnionDescr{}, Just (AliasDescr _ _ (TypeRef _ (L _ _ tid) _)))  | templateIdBaseName tid == nameText ->
+            State.modify $ \s -> s { tcsTypeSystem = Map.insert nameText ty (tcsTypeSystem s) }
+
+        -- Merge struct/union definitions, keeping the one with members.
+        (StructDescr _ _ mems, Just (StructDescr _ _ existingMems)) ->
+            if not (null mems) || null existingMems
+                then State.modify $ \s -> s { tcsTypeSystem = Map.insert nameText ty (tcsTypeSystem s) }
+                else return ()
+        (UnionDescr _ _ mems, Just (UnionDescr _ _ existingMems)) ->
+            if not (null mems) || null existingMems
+                then State.modify $ \s -> s { tcsTypeSystem = Map.insert nameText ty (tcsTypeSystem s) }
+                else return ()
+
+        -- Otherwise, just overwrite. Pass 1 information is generally better.
+        _ ->
+            State.modify $ \s -> s { tcsTypeSystem = Map.insert nameText ty (tcsTypeSystem s) }
+
+
+-- | Infer the type of an expression
+inferExpr :: Node (Lexeme Text) -> TypeCheck (TypeInfo 'Local)
+inferExpr (Fix node) = atExpr (Fix node) $ do
+    case node of
+        -- Literals
+        LiteralExpr C.Int _    -> return $ BuiltinType S32Ty
+        LiteralExpr C.Char _   -> return $ BuiltinType CharTy
+        LiteralExpr C.Bool _   -> return $ BuiltinType BoolTy
+        LiteralExpr C.String _ -> return $ Pointer (BuiltinType CharTy)
+        LiteralExpr C.ConstId (L _ _ name) -> do
+            if name == "nullptr"
+                then return $ BuiltinType NullPtrTy
+                else if name == "__FILE__" || name == "__func__"
+                then return $ Pointer (Const (BuiltinType CharTy))
+                else if name == "__LINE__"
+                then return $ BuiltinType S32Ty
+                else do
+                    vars <- State.gets tcsVars
+                    case Map.lookup name vars of
+                        Just (ty, _) -> return ty
+                        Nothing -> do
+                            macros <- State.gets tcsMacros
+                            case Map.lookup name macros of
+                                Just ([], body) -> inferExpr body
+                                _               -> return $ BuiltinType S32Ty
+
+        -- Variables
+        VarExpr (L _ _ name) -> do
+            vars <- State.gets tcsVars
+            case Map.lookup name vars of
+                Just (ty, _) -> return ty
+                Nothing -> do
+                    macros <- State.gets tcsMacros
+                    case Map.lookup name macros of
+                        Just ([], body) -> inferExpr body
+                        _ -> do
+                            reportTypeError $ UndefinedVariable name
+                            return $ BuiltinType VoidTy
+
+        -- Unary Operators
+        UnaryExpr op expr -> do
+            case op of
+                C.UopIncr -> checkLvalue expr
+                C.UopDecr -> checkLvalue expr
+                _         -> return ()
+            t <- inferExpr expr
+            case op of
+                C.UopDeref -> do
+                    rt <- resolveType t
+                    if isPointerLike rt
+                        then return $ getInnerType rt
+                        else do
+                            reportTypeError $ DereferencingNonPointer rt
+                            return t
+                C.UopAddress -> return $ Pointer t
+                _ -> return t
+          where
+            checkLvalue e =
+                if not (isLvalue e)
+                then reportTypeError NotALValue
+                else return ()
+
+        -- Binary Operators
+        BinaryExpr lhs op rhs -> do
+            lt <- inferExpr lhs
+            rt <- inferExpr rhs
+            case op of
+                C.BopEq  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopNe  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopLt  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopLe  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopGt  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopGe  -> unify lt rt GeneralMismatch (getLexeme lhs) >> return (BuiltinType BoolTy)
+                C.BopAnd -> do
+                    checkExprWithExpected (BuiltinType BoolTy) lhs
+                    checkExprWithExpected (BuiltinType BoolTy) rhs
+                    return $ BuiltinType BoolTy
+                C.BopOr  -> do
+                    checkExprWithExpected (BuiltinType BoolTy) lhs
+                    checkExprWithExpected (BuiltinType BoolTy) rhs
+                    return $ BuiltinType BoolTy
+                C.BopPlus -> do
+                    if isPointerLike lt
+                        then do
+                            checkExprWithExpected (BuiltinType S32Ty) rhs
+                            return lt
+                        else if isPointerLike rt
+                        then do
+                            checkExprWithExpected (BuiltinType S32Ty) lhs
+                            return rt
+                        else do
+                            unify lt rt GeneralMismatch (getLexeme lhs)
+                            return $ promote lt rt
+                C.BopMinus -> do
+                    if isPointerLike lt && isPointerLike rt
+                        then return $ BuiltinType SizeTy
+                        else if isPointerLike lt
+                        then do
+                            checkExprWithExpected (BuiltinType S32Ty) rhs
+                            return lt
+                        else do
+                            unify lt rt GeneralMismatch (getLexeme lhs)
+                            return $ promote lt rt
+                _ -> do
+                    unify lt rt GeneralMismatch (getLexeme lhs)
+                    return $ promote lt rt
+
+        -- Function Calls & Macro Instantiation
+        FunctionCall fun args -> do
+            case fun of
+                Fix (VarExpr (L _ _ name)) -> macroOrFunc name fun args
+                Fix (LiteralExpr C.ConstId (L _ _ name)) -> macroOrFunc name fun args
+                Fix (LiteralExpr C.String (L _ _ name)) -> macroOrFunc name fun args
+                _ -> do
+                    ft <- inferExpr fun
+                    mc <- getCallable ft
+                    dtraceM $ "getCallable: ft=" ++ show ft ++ " mc=" ++ show mc
+                    case mc of
+                        Just (ret, params) -> do
+                            checkArgs params args
+                            return ret
+                        Nothing -> return $ BuiltinType VoidTy
+
+        -- Member Access
+        MemberAccess base l@(L _ _ _) -> do
+            bt <- inferExpr base
+            lookupMember bt l
+
+        PointerAccess base l@(L _ _ _) -> do
+            bt <- inferExpr base
+            rt <- resolveType bt
+            case unwrap rt of
+                Pointer inner -> lookupMember inner l
+                _ -> do
+                    reportTypeError $ DereferencingNonPointer rt
+                    return $ BuiltinType VoidTy
+
+        -- Array Access
+        ArrayAccess base _ -> do
+            bt <- inferExpr base
+            rt <- resolveType bt
+            case unwrap rt of
+                Pointer inner -> return inner
+                Array (Just inner) _ -> return inner
+                Array Nothing (inner:_) -> return inner
+                _ -> do
+                    reportTypeError $ ArrayAccessNonArray rt
+                    return $ BuiltinType VoidTy
+
+        -- Parentheses
+        ParenExpr expr -> inferExpr expr
+
+        -- Casts
+        CastExpr ty expr -> do
+            t <- convertToTypeInfo ty
+            at <- inferExpr expr
+            unify t at GeneralMismatch (getLexeme expr)
+            return t
+
+        -- Compound Literal
+        CompoundLiteral ty expr -> do
+            t <- convertToTypeInfo ty
+            at <- inferExpr expr
+            unify t at GeneralMismatch (getLexeme expr)
+            return t
+
+        -- Sizeof
+        SizeofExpr _ -> return $ BuiltinType SizeTy
+        SizeofType _ -> return $ BuiltinType SizeTy
+
+        -- Initialiser List
+        InitialiserList exprs -> do
+            tys <- mapM inferExpr exprs
+            case tys of
+                []    -> return $ Array Nothing []
+                (t:_) -> return $ Array (Just t) tys
+
+        -- Assignment
+        AssignExpr lhs _ rhs -> do
+            if not (isLvalue lhs)
+                then reportTypeError NotALValue
+                else return ()
+            lt <- inferExpr lhs
+            rt <- inferExpr rhs
+            unify lt rt AssignmentMismatch (getLexeme lhs)
+            return lt
+
+        -- Ternary operator
+        TernaryExpr cond thenExpr elseExpr -> do
+            checkExprWithExpected (BuiltinType BoolTy) cond
+            tt <- inferExpr thenExpr
+            et <- inferExpr elseExpr
+            unify tt et GeneralMismatch (getLexeme thenExpr)
+            return $ promote tt et
+
+        _ -> return $ BuiltinType VoidTy
+
+
+-- | Helper for FunctionCall to handle both macros and functions
+macroOrFunc :: Text -> Node (Lexeme Text) -> [Node (Lexeme Text)] -> TypeCheck (TypeInfo 'Local)
+macroOrFunc name fun args = do
+    macros <- State.gets tcsMacros
+    case Map.lookup name macros of
+        Just (params, body) -> do
+            dtraceM $ "instantiateMacro call: " ++ Text.unpack name
+            instantiateMacro name params args body
+        Nothing -> do
+            ft <- inferExpr fun
+            mc <- getCallable ft
+            case mc of
+                Just (ret, params) -> do
+                    -- Refresh templates only for global functions to allow polymorphism.
+                    -- Local variables (like callback parameters) should not be refreshed
+                    -- because their templates represent specific (though inferred) types
+                    -- that should be consistent across calls in the same scope.
+                    globals <- State.gets tcsGlobals
+                    isGlobal <- case fun of
+                        Fix (VarExpr (L _ _ name')) -> return $ Set.member name' globals
+                        _                           -> return False
+
+                    ft'' <- if isGlobal
+                                then refreshTemplates (Function ret params)
+                                else return (Function ret params)
+                    case ft'' of
+                        Function ret' params' -> do
+                            checkArgs params' args
+                            return ret'
+                        _ -> error "impossible"
+                Nothing -> do
+                    let name' = case getTypeLexeme ft of
+                            Just (L _ _ t) -> t
+                            Nothing        -> name
+                    reportTypeError $ CallingNonFunction name' ft
+                    return $ BuiltinType VoidTy
+
+checkArgs :: [TypeInfo 'Local] -> [Node (Lexeme Text)] -> TypeCheck ()
+checkArgs params args = do
+    let expected = length (filter (not . isSpecial) params)
+    let actual = length args
+    let isVariadic = VarArg `elem` params
+    if actual < expected
+        then reportTypeError $ TooFewArgs expected actual
+        else if actual > expected && not isVariadic
+            then reportTypeError $ TooManyArgs expected actual
+            else go params args
+  where
+    go (VarArg : _) _ = return ()
+    go _ (Fix (VarExpr (L _ _ "__VA_ARGS__")) : _) = return ()
+    go _ (Fix (LiteralExpr C.ConstId (L _ _ "__VA_ARGS__")) : _) = return ()
+    go (BuiltinType VoidTy : ps) as = go ps as
+    go (p : ps) (a : as) = do
+        checkExprWithExpected p a
+        go ps as
+    go _ _ = return ()
+
+
+-- | Type check a whole program
+typeCheckProgram :: Program.Program Text -> [(FilePath, ErrorInfo 'Local)]
+typeCheckProgram program =
+    let programList = Program.toList program
+        ts = TypeSystem.collect programList
+        -- Extract constraints from all files, threading the counters
+        (allConstraints, _, _) = foldl (\(accCs, nextId, nextCallSiteId) (path, nodes) ->
+                                        let (cs, nextId', nextCallSiteId') = extractConstraints ts path (Fix (C.Group nodes)) nextId nextCallSiteId
+                                        in (accCs ++ cs, nextId', nextCallSiteId')) ([], 0, 0) programList
+        -- Solve them all together
+        errors = solveConstraints ts allConstraints
+
+        extractPath ei = case find isFile (errContext ei) of
+            Just (InFile p) -> p
+            _               -> "unknown"
+          where
+            isFile = \case InFile _ -> True; _ -> False
+
+    in map (\ei -> (extractPath ei, ei)) errors
+
+
+-- | Look up a member in a struct or union
+lookupMember :: TypeInfo 'Local -> Lexeme Text -> TypeCheck (TypeInfo 'Local)
+lookupMember ty l@(L _ _ field) = withContext (InMemberAccess field) $ do
+    ts <- State.gets tcsTypeSystem
+    rt <- resolveType ty
+    case rt of
+        TypeRef _ (L _ _ tid) args ->
+            let name = templateIdBaseName tid in
+            case lookupType name ts of
+                Just descr -> do
+                    let instantiated = instantiateDescr descr args
+                    case TS.lookupMemberType field instantiated of
+                        Just mt -> return mt
+                        Nothing -> do
+                            reportTypeError $ MemberNotFound field rt
+                            return $ BuiltinType VoidTy
+                Nothing -> do
+                    reportTypeError $ UndefinedType name
+                    return $ BuiltinType VoidTy
+        Const t -> lookupMember t l
+        Owner t -> lookupMember t l
+        Nonnull t -> lookupMember t l
+        Nullable t -> lookupMember t l
+        Sized t _ -> lookupMember t l
+        _ -> do
+            reportTypeError $ NotAStruct rt
+            return $ BuiltinType VoidTy
+
+instantiateDescr :: TypeDescr 'Global -> [TypeInfo 'Local] -> TypeDescr 'Local
+instantiateDescr descr args =
+    case descr of
+        StructDescr l tps mems ->
+            let m = Map.fromList (zip tps args)
+            in StructDescr l [] (map (second (instantiate m)) mems)
+        UnionDescr l tps mems ->
+            let m = Map.fromList (zip tps args)
+            in UnionDescr l [] (map (second (instantiate m)) mems)
+        FuncDescr l tps ret ps ->
+            let m = Map.fromList (zip tps args)
+            in dtrace ("instantiateDescr: m=" ++ show m ++ " ps=" ++ show ps) $
+               FuncDescr l [] (instantiate m ret) (map (instantiate m) ps)
+        AliasDescr l tps ty ->
+            let m = Map.fromList (zip tps args)
+            in AliasDescr l [] (instantiate m ty)
+        t -> TS.instantiateDescr 0 Nothing Map.empty t
+  where
+    instantiate m = \case
+        Template t i ->
+            case Map.lookup t m of
+                Just res -> res
+                Nothing  -> Template (TIdAnonymous (TS.templateIdHint t)) (fmap (instantiate m) i)
+        Pointer t -> Pointer (instantiate m t)
+        Array mt dims -> Array (fmap (instantiate m) mt) (map (instantiate m) dims)
+        Function r ps -> Function (instantiate m r) (map (instantiate m) ps)
+        TypeRef ref l args' -> TypeRef ref (fmap convert l) (map (instantiate m) args')
+        Const t -> Const (instantiate m t)
+        Owner t -> Owner (instantiate m t)
+        Nonnull t -> Nonnull (instantiate m t)
+        Nullable t -> Nullable (instantiate m t)
+        Qualified qs t -> Qualified qs (instantiate m t)
+        Sized t l -> Sized (instantiate m t) (fmap convert l)
+        Var l t -> Var (fmap convert l) (instantiate m t)
+        BuiltinType s -> BuiltinType s
+        ExternalType l -> ExternalType (fmap convert l)
+        Singleton s i' -> Singleton s i'
+        VarArg -> VarArg
+        IntLit l -> IntLit (fmap convert l)
+        NameLit l -> NameLit (fmap convert l)
+        EnumMem l -> EnumMem (fmap convert l)
+        Unconstrained -> Unconstrained
+        Conflict -> Conflict
+        Proxy t -> Proxy (instantiate m t)
+        TS.Unsupported msg -> TS.Unsupported msg
+
+    convert :: TemplateId 'Global -> TemplateId 'Local
+    convert (TIdName n)      = TIdAnonymous (Just n)
+    convert (TIdParam _ h)   = TIdAnonymous h
+    convert (TIdAnonymous h) = TIdAnonymous h
+    convert (TIdRec i)       = TIdRec i
+
+
+-- | Instantiate a macro "template"
+instantiateMacro :: Text -> [Text] -> [Node (Lexeme Text)] -> Node (Lexeme Text) -> TypeCheck (TypeInfo 'Local)
+instantiateMacro name params args body = withContext (InMacro name) $ do
+    if length params > length args
+        then do
+            reportTypeError $ MacroArgumentMismatch name (length params) (length args)
+            return $ BuiltinType VoidTy
+        else do
+            -- Infer types of arguments
+            argTypes <- mapM inferExpr args
+            -- Save current variable environment
+            oldVars <- State.gets tcsVars
+            -- Bind parameters to argument types
+            let bindings = Map.fromList [ (p, (t, FromInference body)) | (p, t) <- zip params argTypes ]
+            -- Handle variadic macros by binding __VA_ARGS__ to the remaining arguments
+            let vaArgs = drop (length params) args
+            let bindings' = case vaArgs of
+                                [] -> bindings
+                                _  -> Map.insert "__VA_ARGS__" (Array Nothing [], FromInference body) bindings -- Special handling for __VA_ARGS__ expansion
+            dtraceM $ "instantiateMacro: " ++ Text.unpack name ++ " bindings=" ++ show bindings'
+            State.modify $ \s -> s { tcsVars = Map.union bindings' (tcsVars s) }
+            -- Type-check the body with these bindings
+            dtraceM ("instantiateMacro: " ++ Text.unpack name ++ " body node type=" ++ show (fmap (const ()) (unFix body)))
+            res <- case body of
+                Fix (MacroBodyStmt stmt) -> do
+                    dtraceM ("instantiateMacro: Branch MacroBodyStmt")
+                    checkStmt stmt
+                    return $ BuiltinType VoidTy
+                Fix (MacroBodyFunCall expr) -> do
+                    dtraceM ("instantiateMacro: Branch MacroBodyFunCall")
+                    inferExpr expr
+                _ -> do
+                    dtraceM ("instantiateMacro: Branch other")
+                    inferExpr body
+            -- Restore environment
+            State.modify $ \s -> s { tcsVars = oldVars }
+            return res
+
+
+-- | Convert an AST node representing a type to TypeInfo
+convertToTypeInfo :: Node (Lexeme Text) -> TypeCheck (TypeInfo 'Local)
+convertToTypeInfo (Fix node) = case node of
+    TyStd l                -> return $ TS.toLocal 0 Nothing (TS.builtin l)
+    TyPointer t            -> Pointer <$> (convertToTypeInfo t >>= replaceVoidWithTemplate)
+    TyConst t              -> Const <$> convertToTypeInfo t
+    TyOwner t              -> Owner <$> convertToTypeInfo t
+    TyNonnull t            -> Nonnull <$> convertToTypeInfo t
+    TyNullable t           -> Nullable <$> convertToTypeInfo t
+    TyStruct l@(L _ _ name) -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ TypeRef StructRef (fmap TS.mkId l) args
+            Nothing -> return $ TypeRef UnresolvedRef (fmap TS.mkId l) []
+    TyUnion l@(L _ _ name)  -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ TypeRef UnionRef (fmap TS.mkId l) args
+            Nothing -> return $ TypeRef UnresolvedRef (fmap TS.mkId l) []
+    TyFunc l@(L _ _ name) -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                dtraceM $ "convertToTypeInfo TyFunc: " ++ Text.unpack name ++ " tps=" ++ show tps
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ TypeRef FuncRef (fmap TS.mkId l) args
+            Nothing -> return $ TypeRef UnresolvedRef (fmap TS.mkId l) []
+    TyUserDefined (L pos ty name) -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                let (ref, name') = case descr of
+                            StructDescr l' _ _ -> (StructRef, C.lexemeText l')
+                            UnionDescr  l' _ _ -> (UnionRef, C.lexemeText l')
+                            EnumDescr   l' _   -> (EnumRef, C.lexemeText l')
+                            IntDescr    l' _   -> (IntRef, C.lexemeText l')
+                            FuncDescr   l' _ _ _ -> (FuncRef, C.lexemeText l')
+                            AliasDescr  l' _ _ -> (UnresolvedRef, C.lexemeText l')
+                return $ TypeRef ref (L pos ty (TS.mkId name')) args
+            Nothing -> return $ TypeRef UnresolvedRef (L pos ty (TS.mkId name)) []
+    Struct l@(L _ _ name) _ -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ TypeRef StructRef (fmap TS.mkId l) args
+            Nothing -> return $ TypeRef StructRef (fmap TS.mkId l) []
+    Union l@(L _ _ name) _ -> do
+        ts <- State.gets tcsTypeSystem
+        case lookupType name ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ TypeRef UnionRef (fmap TS.mkId l) args
+            Nothing -> return $ TypeRef UnionRef (fmap TS.mkId l) []
+    Commented _ t -> convertToTypeInfo t
+    TyBitwise t -> convertToTypeInfo t
+    TyForce t -> convertToTypeInfo t
+    Ellipsis -> return VarArg
+    _                      -> return $ BuiltinType VoidTy
+
+replaceVoidWithTemplate :: TypeInfo 'Local -> TypeCheck (TypeInfo 'Local)
+replaceVoidWithTemplate (BuiltinType VoidTy) = return $ Template (TIdAnonymous Nothing) Nothing
+replaceVoidWithTemplate (Const t)            = Const <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Owner t)            = Owner <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Nonnull t)          = Nonnull <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Nullable t)         = Nullable <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Qualified qs t)     = Qualified qs <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Sized t l)          = flip Sized l <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate (Pointer t)          = Pointer <$> replaceVoidWithTemplate t
+replaceVoidWithTemplate t                    = return t
+
+
+-- | Add array dimensions to a type
+addArrays :: TypeInfo 'Local -> [Node (Lexeme Text)] -> TypeCheck (TypeInfo 'Local)
+addArrays = foldM add
+  where
+    add ty (Fix (DeclSpecArray _ (Just n))) = case unFix n of
+        LiteralExpr C.Int l -> return $ Array (Just ty) [IntLit (fmap TS.mkId l)]
+        VarExpr l           -> return $ Array (Just ty) [NameLit (fmap TS.mkId l)]
+        _ -> do
+            dt <- inferExpr n
+            return $ Array (Just ty) [dt]
+    add ty (Fix (DeclSpecArray _ Nothing)) = return $ Array (Just ty) []
+    add ty _                             = return ty
+
+
+-- | Type check a statement
+checkStmt :: Node (Lexeme Text) -> TypeCheck ()
+checkStmt (Fix node) = atStmt (Fix node) $ do
+    dtraceM $ "checkStmt: " ++ show (fmap (const ()) node)
+    case node of
+        CompoundStmt stmts -> mapM_ checkStmt stmts
+        IfStmt cond thenB mElseB -> do
+            checkExprWithExpected (BuiltinType BoolTy) cond
+            checkStmt thenB
+            mapM_ checkStmt mElseB
+        WhileStmt cond body -> do
+            checkExprWithExpected (BuiltinType BoolTy) cond
+            checkStmt body
+        DoWhileStmt body cond -> do
+            checkStmt body
+            checkExprWithExpected (BuiltinType BoolTy) cond
+        ForStmt init' cond step body -> do
+            checkStmt init'
+            checkExprWithExpected (BuiltinType BoolTy) cond
+            checkStmt step
+            checkStmt body
+        SwitchStmt cond cases -> do
+            ct <- inferExpr cond
+            rt <- resolveType ct
+            if isIntOrEnum rt
+                then return ()
+                else reportTypeError $ SwitchConditionNotIntegral rt
+            mapM_ (checkCase ct) cases
+        Case _ stmt -> checkStmt stmt
+        Default stmt -> checkStmt stmt
+        Return mExpr -> do
+            mRet <- State.gets tcsReturnType
+            case (mRet, mExpr) of
+                (Just ret, Just expr) -> checkExprWithExpected ret expr
+                (Just (BuiltinType VoidTy), Nothing) -> return ()
+                (Just ret, Nothing) -> reportTypeError $ MissingReturnValue ret
+                (Nothing, _) -> return () -- Should not happen in well-formed code
+        ExprStmt expr -> do
+            _ <- inferExpr expr
+            return ()
+        VLA ty lx@(L _ _ name) expr -> do
+            t <- convertToTypeInfo ty
+            _ <- inferExpr expr
+            State.modify $ \s -> s { tcsVars = Map.insert name (Array (Just t) [], FromDefinition name (Just lx)) (tcsVars s) }
+        VarDeclStmt (Fix (VarDecl ty lx@(L _ _ name) arrs)) mInit -> do
+            t <- convertToTypeInfo ty >>= flip addArrays arrs
+            mapM_ (checkExprWithExpected t) mInit
+            State.modify $ \s -> s { tcsVars = Map.insert name (t, FromDefinition name (Just lx)) (tcsVars s) }
+        Break -> return ()
+        Continue -> return ()
+        Goto _ -> return ()
+        Label _ stmt -> checkStmt stmt
+        MacroBodyStmt body -> checkStmt body
+        Group nodes -> mapM_ checkStmt nodes
+        PreprocIf _ thenNodes elseNode -> do
+            mapM_ checkStmt thenNodes
+            checkStmt elseNode
+        PreprocIfdef _ thenNodes elseNode -> do
+            mapM_ checkStmt thenNodes
+            checkStmt elseNode
+        PreprocIfndef _ thenNodes elseNode -> do
+            mapM_ checkStmt thenNodes
+            checkStmt elseNode
+        PreprocElse nodes -> mapM_ checkStmt nodes
+        _ -> return ()
+
+
+-- | Type check a function definition
+checkFunctionDefn :: Node (Lexeme Text) -> TypeCheck ()
+checkFunctionDefn (Fix (FunctionDefn _ (Fix (FunctionPrototype _ l@(L _ _ name) params)) body)) = withContext (InFunction name) $ do
+    dtraceM $ "checkFunctionDefn: " ++ Text.unpack name
+    -- Collect parameter types from this definition
+    paramBindings <- mapM getParamBinding params
+    let paramVars = Map.fromList [ (n, (t, FromDefinition n (Just l))) | (n, t) <- catMaybes paramBindings ]
+
+    -- Unify with global signature from Pass 1 to connect templates
+    vars <- State.gets tcsVars
+    retSig <- case Map.lookup name vars of
+        Just (Function ret psSig, _) -> do
+            mapM_ (uncurry (\(_, tDef) tSig -> unify tSig tDef GeneralMismatch Nothing)) (zip (catMaybes paramBindings) psSig)
+            return $ Just ret
+        _ -> return Nothing
+
+    -- Save current variable environment
+    oldVars <- State.gets tcsVars
+    oldRet <- State.gets tcsReturnType
+    -- Add parameters to environment and set return type
+    let funcVar = Map.singleton "__func__" (Pointer (Const (BuiltinType CharTy)), FromDefinition "__func__" (Just l))
+    State.modify $ \s -> s { tcsVars = Map.union funcVar (Map.union paramVars (tcsVars s)), tcsReturnType = retSig }
+    -- Check body
+    checkStmt body
+
+    -- Apply inferred bindings to the function's own signature
+    -- and update the global environment
+    vars' <- State.gets tcsVars
+    case Map.lookup name vars' of
+        Just (Function ret ps, prov) -> do
+            ret' <- applyBindings ret
+            ps' <- mapM applyBindings ps
+            let newSig = Function ret' ps'
+            dtraceM $ "Updated signature for " ++ Text.unpack name ++ ": " ++ show newSig
+            -- Update oldVars with the new signature
+            let oldVars' = Map.insert name (newSig, prov) oldVars
+            State.modify $ \s -> s { tcsVars = oldVars', tcsReturnType = oldRet }
+        _ ->
+            -- Restore environment
+            State.modify $ \s -> s { tcsVars = oldVars, tcsReturnType = oldRet }
+
+    applyBindingsToTypeSystem
+  where
+    getParamBinding (Fix (VarDecl ty (L _ _ paramName) arrs)) = do
+        t <- convertToTypeInfo ty >>= flip addArrays arrs
+        return $ Just (paramName, t)
+    getParamBinding (Fix (CallbackDecl (L p1 t1 ty) (L _ _ paramName))) = do
+        ts <- State.gets tcsTypeSystem
+        case lookupType ty ts of
+            Just descr -> do
+                let tps = TypeSystem.getDescrTemplates descr
+                args <- mapM (nextTemplate . TS.templateIdHint) tps
+                return $ Just (paramName, Pointer (TypeRef FuncRef (L p1 t1 (TS.mkId ty)) args))
+            Nothing ->
+                return $ Just (paramName, Pointer (TypeRef FuncRef (L p1 t1 (TS.mkId ty)) []))
+    getParamBinding (Fix (NonNullParam p)) = getParamBinding p
+    getParamBinding (Fix (NullableParam p)) = getParamBinding p
+    getParamBinding _ = return Nothing
+checkFunctionDefn _ = return ()
+
+checkCase :: TypeInfo 'Local -> Node (Lexeme Text) -> TypeCheck ()
+checkCase ct (Fix (Case label stmt)) = do
+    lt <- inferExpr label
+    unify ct lt GeneralMismatch (getLexeme label)
+    checkStmt stmt
+checkCase _ stmt = checkStmt stmt
+
+
+applyBindingsToTypeSystem :: TypeCheck ()
+applyBindingsToTypeSystem = do
+    ts <- State.gets tcsTypeSystem
+    ts' <- mapM go ts
+    State.modify $ \s -> s { tcsTypeSystem = ts' }
+  where
+    go = \case
+        StructDescr l ts mems -> StructDescr l ts <$> mapM (mapM (fmap TS.toGlobal . applyBindings . (TS.toLocal 0 Nothing))) mems
+        UnionDescr l ts mems -> UnionDescr l ts <$> mapM (mapM (fmap TS.toGlobal . applyBindings . (TS.toLocal 0 Nothing))) mems
+        FuncDescr l ts ret ps -> FuncDescr l ts <$> (TS.toGlobal <$> (applyBindings (TS.toLocal 0 Nothing ret))) <*> mapM (fmap TS.toGlobal . applyBindings . (TS.toLocal 0 Nothing)) ps
+        AliasDescr l ts t -> AliasDescr l ts <$> (TS.toGlobal <$> (applyBindings (TS.toLocal 0 Nothing t)))
+        t -> return t
+
+
+isIntOrEnum :: TypeInfo p -> Bool
+isIntOrEnum = foldFix $ \case
+    BuiltinTypeF t       -> isInt t
+    EnumMemF _           -> True
+    TypeRefF EnumRef _ _ -> True
+    QualifiedF _ t       -> t
+    SizedF t _           -> t
+    _                    -> False
+
+
+-- | Check an expression against an expected type
+checkExprWithExpected :: TypeInfo 'Local -> Node (Lexeme Text) -> TypeCheck ()
+checkExprWithExpected expected expr@(Fix node) = atExpr expr $ case node of
+    InitialiserList [e] -> do
+        rt <- resolveType expected
+        case rt of
+            BuiltinType {} -> checkExprWithExpected expected e
+            _              -> checkInitialiserList expected [e]
+    InitialiserList exprs -> checkInitialiserList expected exprs
+    _ -> do
+        actual <- inferExpr expr
+        unify expected actual GeneralMismatch (getLexeme expr)
+
+checkInitialiserList :: TypeInfo 'Local -> [Node (Lexeme Text)] -> TypeCheck ()
+checkInitialiserList expected exprs = do
+    rt <- resolveType expected
+    case rt of
+        Array (Just et) _ -> mapM_ (checkExprWithExpected et) exprs
+        TypeRef StructRef (L _ _ tid) args -> do
+            let name = templateIdBaseName tid
+            ts <- State.gets tcsTypeSystem
+            case lookupType name ts of
+                Just descr@(StructDescr _ _ _) -> do
+                    let instantiated = TypeSystem.instantiateDescr 0 Nothing (Map.fromList (zip (TypeSystem.getDescrTemplates descr) args)) descr
+                    case instantiated of
+                        StructDescr _ _ members' -> do
+                            let ps = map snd members'
+                            let expCount = length ps
+                            let actCount = length exprs
+                            if actCount > expCount
+                                then reportTypeError $ TooManyArgs expCount actCount
+                                else mapM_ (uncurry checkExprWithExpected) (zip ps exprs)
+                        _ -> error "impossible"
+                _ -> reportTypeError $ UndefinedType name
+        TypeRef UnionRef (L _ _ tid) args -> do
+            let name = templateIdBaseName tid
+            ts <- State.gets tcsTypeSystem
+            case lookupType name ts of
+                Just descr@(UnionDescr _ _ _) -> do
+                    let instantiated = TypeSystem.instantiateDescr 0 Nothing (Map.fromList (zip (TypeSystem.getDescrTemplates descr) args)) descr
+                    case instantiated of
+                        UnionDescr _ _ members' -> do
+                            case (members', exprs) of
+                                (((_, t):_), [e]) -> checkExprWithExpected t e
+                                (_, []) -> return ()
+                                (_, _) -> reportError (getLexeme (Fix (InitialiserList exprs))) "union initializer must have exactly one element"
+                        _ -> error "impossible"
+                _ -> reportTypeError $ UndefinedType name
+        _ -> do
+            actual <- inferExpr (Fix (InitialiserList exprs))
+            unify expected actual GeneralMismatch (getLexeme (Fix (InitialiserList exprs)))
+
+
+unify :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> TypeCheck ()
+unify expected actual reason ml = withContext (InUnification expected actual reason) $ do
+    let l = ml <|> getTypeLexeme expected <|> getTypeLexeme actual
+    eb1 <- resolveType =<< applyBindings expected
+    ab1 <- resolveType =<< applyBindings actual
+    dtraceM $ "unify: " ++ show eb1 ++ " with " ++ show ab1
+    case (eb1, ab1) of
+        (Template t i, a) -> bind t i a reason l
+        (e, Template t i) -> bind t i e reason l
+        (Nonnull (Pointer (TypeRef FuncRef name args)), Function ra pa) -> unify (Pointer (TypeRef FuncRef name args)) (Function ra pa) reason l
+        (Function re pe, Nonnull (Pointer (TypeRef FuncRef name args))) -> unify (Function re pe) (Pointer (TypeRef FuncRef name args)) reason l
+        (Nullable (Pointer (TypeRef FuncRef name args)), Function ra pa) -> unify (Pointer (TypeRef FuncRef name args)) (Function ra pa) reason l
+        (Function re pe, Nullable (Pointer (TypeRef FuncRef name args))) -> unify (Function re pe) (Pointer (TypeRef FuncRef name args)) reason l
+
+        (Nonnull (Pointer (TypeRef FuncRef name1 args1)), Pointer (TypeRef FuncRef name2 args2)) | name1 == name2 -> unify (Pointer (TypeRef FuncRef name1 args1)) (Pointer (TypeRef FuncRef name2 args2)) reason l
+        (Nullable (Pointer (TypeRef FuncRef name1 args1)), Pointer (TypeRef FuncRef name2 args2)) | name1 == name2 -> unify (Pointer (TypeRef FuncRef name1 args1)) (Pointer (TypeRef FuncRef name2 args2)) reason l
+        (Pointer (TypeRef FuncRef name1 args1), Nonnull (Pointer (TypeRef FuncRef name2 args2))) | name1 == name2 -> unify (Pointer (TypeRef FuncRef name1 args1)) (Pointer (TypeRef FuncRef name2 args2)) reason l
+        (Pointer (TypeRef FuncRef name1 args1), Nullable (Pointer (TypeRef FuncRef name2 args2))) | name1 == name2 -> unify (Pointer (TypeRef FuncRef name1 args1)) (Pointer (TypeRef FuncRef name2 args2)) reason l
+
+        (Nonnull (TypeRef FuncRef name args), Function ra pa) -> unify (TypeRef FuncRef name args) (Function ra pa) reason l
+        (Function re pe, Nonnull (TypeRef FuncRef name args)) -> unify (Function re pe) (TypeRef FuncRef name args) reason l
+        (Nullable (TypeRef FuncRef name args), Function ra pa) -> unify (TypeRef FuncRef name args) (Function ra pa) reason l
+        (Function re pe, Nullable (TypeRef FuncRef name args)) -> unify (Function re pe) (TypeRef FuncRef name args) reason l
+        (Nonnull (Pointer (Function re pe)), Pointer (TypeRef FuncRef name args)) -> unify (Function re pe) (TypeRef FuncRef name args) reason l
+        (Pointer (TypeRef FuncRef name args), Nonnull (Pointer (Function ra pa))) -> unify (TypeRef FuncRef name args) (Function ra pa) reason l
+        (Nullable (Pointer (Function re pe)), Pointer (TypeRef FuncRef name args)) -> unify (Function re pe) (TypeRef FuncRef name args) reason l
+        (Pointer (TypeRef FuncRef name args), Nullable (Pointer (Function ra pa))) -> unify (TypeRef FuncRef name args) (Function ra pa) reason l
+        (Pointer (TypeRef FuncRef name args), Pointer (Function ra pa)) -> unify (TypeRef FuncRef name args) (Function ra pa) reason l
+        (Pointer (Function re pe), Pointer (TypeRef FuncRef name args)) -> unify (Function re pe) (TypeRef FuncRef name args) reason l
+        (Pointer (TypeRef FuncRef tid args), Function ra pa) -> do
+            let name = templateIdBaseName (C.lexemeText tid)
+            ts <- State.gets tcsTypeSystem
+            case lookupType name ts of
+                Just descr -> do
+                    let instantiated = instantiateDescr descr args
+                    case instantiated of
+                        FuncDescr _ _ re pe -> unify (Function re pe) (Function ra pa) reason l
+                        _ -> error "impossible"
+                _ -> reportTypeError $ CallingNonFunction name eb1
+        (Function re pe, Pointer (TypeRef FuncRef tid args)) ->
+            unify (Function re pe) (Pointer (TypeRef FuncRef tid args)) reason l
+        (Pointer e', Pointer a') -> do
+            if compatible eb1 ab1 || containsTemplate eb1 || containsTemplate ab1
+                then unify e' a' reason l
+                else reportTypeError $ TypeMismatch expected actual reason Nothing
+        (Pointer e, Function ra pa) -> unify e (Function ra pa) reason l
+        (Function re pe, Pointer a) -> unify (Function re pe) a reason l
+        (TypeRef FuncRef tid args, Function ra pa) -> do
+            let name = templateIdBaseName (C.lexemeText tid)
+            ts <- State.gets tcsTypeSystem
+            case lookupType name ts of
+                Just descr -> do
+                    let instantiated = instantiateDescr descr args
+                    case instantiated of
+                        FuncDescr _ _ re pe -> do
+                            unify (Function re pe) (Function ra pa) reason l
+                        _ -> error "impossible"
+                _ -> reportTypeError $ CallingNonFunction name eb1
+        (Function re pe, TypeRef FuncRef tid args) -> do
+            unify (TypeRef FuncRef tid args) (Function re pe) reason l
+        (TypeRef ref1 l1 args1, TypeRef ref2 l2 args2) | ref1 == ref2 && C.lexemeText l1 == C.lexemeText l2 -> do
+            if not (null args1) && not (null args2) && length args1 /= length args2
+                then reportError l "template argument count mismatch"
+                else mapM_ (uncurry (\a1 a2 -> unify a1 a2 reason l)) (zip args1 args2)
+        (Array (Just e') _, Array (Just a') _) -> do
+            if compatible eb1 ab1 || containsTemplate eb1 || containsTemplate ab1
+                then unify e' a' reason l
+                else reportTypeError $ TypeMismatch expected actual reason Nothing
+        (Array (Just e') _, Pointer a') -> do
+            if compatible eb1 ab1 || containsTemplate eb1 || containsTemplate ab1
+                then unify e' a' reason l
+                else reportTypeError $ TypeMismatch expected actual reason Nothing
+        (Pointer e', Array (Just a') _) -> do
+            if compatible eb1 ab1 || containsTemplate eb1 || containsTemplate ab1
+                then unify e' a' reason l
+                else reportTypeError $ TypeMismatch expected actual reason Nothing
+        (Function re pe, Function ra pa) -> do
+            unify re ra reason l
+            let expCount = length pe
+            let actCount = length pa
+            if actCount < expCount
+                then reportTypeError $ TooFewArgs expCount actCount
+                else if actCount > expCount
+                    then reportTypeError $ TooManyArgs expCount actCount
+                    else mapM_ (uncurry (\p1 p2 -> unify p1 p2 reason l)) (zip pe pa)
+
+        -- Handle wrappers with recursion to allow template binding inside them
+        (Qualified qs1 e, Qualified qs2 a) | qs1 == qs2 -> unify e a reason l
+        (Sized e l1, Sized a l2) | l1 == l2 -> unify e a reason l
+
+        (_, _) -> do
+            if compatible eb1 ab1
+                then case (eb1, ab1) of
+                    (Qualified _ e, a) | isTemplate e -> unify e a reason l
+                    (e, Qualified _ a) | isTemplate a -> unify e a reason l
+                    (Sized e _, a) | isTemplate e     -> unify e a reason l
+                    (e, Sized a _) | isTemplate a     -> unify e a reason l
+                    (Qualified _ e, a)                -> unify e a reason l
+                    (e, Qualified _ a)                -> unify e a reason l
+                    (Sized e _, a)                    -> unify e a reason l
+                    (e, Sized a _)                    -> unify e a reason l
+                    _                                 -> return ()
+                else reportTypeError $ TypeMismatch expected actual reason Nothing
+
+
+bind :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> TypeCheck ()
+bind name index ty reason ml = do
+    dtraceM $ "bind: " ++ show name ++ " to " ++ show ty
+    bounds <- State.gets tcsBounds
+    let k = FullTemplate name index
+    case Map.lookup k bounds of
+        Just (existing, _) -> do
+            e' <- applyBindings existing
+            t' <- applyBindings ty
+            if not (compatible e' t')
+                then reportTypeError $ TypeMismatch e' t' reason Nothing
+                else unify e' t' reason ml
+        Nothing ->
+            case ty of
+                Template n i | n == name && i == index -> return ()
+                BuiltinType VoidTy -> return () -- Don't bind to void
+                _ -> do
+                    ty' <- applyBindings ty
+                    ctx <- State.gets tcsContext
+                    let info = ErrorInfo ml ctx (TypeMismatch (Template name index) ty' reason Nothing) []
+                    State.modify $ \s -> s { tcsBounds = Map.insert k (ty', FromContext info) (tcsBounds s) }
+
+
+applyBindings :: TypeInfo 'Local -> TypeCheck (TypeInfo 'Local)
+applyBindings ty = applyBindingsWith Set.empty ty
+
+applyBindingsWith :: Set (FullTemplate 'Local) -> TypeInfo 'Local -> TypeCheck (TypeInfo 'Local)
+applyBindingsWith seen ty = case unFix ty of
+    TemplateF (FullTemplate tid i) ->
+        let k = FullTemplate tid i in
+        if Set.member k seen
+        then return ty
+        else do
+            bounds <- State.gets tcsBounds
+            case Map.lookup k bounds of
+                Just (target, _) -> applyBindingsWith (Set.insert k seen) target
+                Nothing          -> return ty
+    _ -> return ty
+
+
+refreshTemplates :: TypeInfo 'Local -> TypeCheck (TypeInfo 'Local)
+refreshTemplates ty = State.evalStateT (refreshTemplatesWith Set.empty ty) Map.empty
+
+refreshTemplatesWith :: Set (FullTemplate 'Local) -> TypeInfo 'Local -> StateT (Map (FullTemplate 'Local) (TypeInfo 'Local)) TypeCheck (TypeInfo 'Local)
+refreshTemplatesWith seen ty = snd (foldFix alg ty) seen
+  where
+    alg f = (Fix (fmap fst f), \s -> case f of
+        TemplateF (FullTemplate t i) -> do
+            m <- State.get
+            let i_orig = fst <$> i
+                k = FullTemplate t i_orig
+            case Map.lookup k m of
+                Just t' -> return t'
+                Nothing -> do
+                    i' <- if Set.member k s
+                          then return Nothing
+                          else maybe (return Nothing) (fmap Just . (\(_, getInner) -> getInner (Set.insert k s))) i
+                    tName <- lift (nextTemplate Nothing) >>= \case
+                        Template n _ -> return n
+                        _ -> error "nextTemplate returned non-Template"
+                    let t' = Template tName i'
+                    State.modify $ Map.insert k t'
+                    return t'
+        _ -> Fix <$> traverse (\(_, getInner) -> getInner s) f)
+
+
+-- | Check if two types are compatible (simplified)
+compatible :: TypeInfo p -> TypeInfo p -> Bool
+compatible t1 t2 = go Set.empty t1 t2
+  where
+    go seen ty1 ty2 | Set.member (ty1, ty2) seen = True
+    go seen ty1 ty2 =
+        let seen' = Set.insert (ty1, ty2) seen
+            res = case (ty1, ty2) of
+                (t1', t2') | t1' == t2' -> True
+                (Template _ _, _) -> True
+                (_, Template _ _) -> True
+                (t1', t2') | isNetworkingStruct t1' && isNetworkingStruct t2' -> True
+                (TypeRef FuncRef _ _, Function _ _) -> True
+                (Function _ _, TypeRef FuncRef _ _) -> True
+                (TypeRef r1 (L _ _ tid1) args1, TypeRef r2 (L _ _ tid2) args2) ->
+                    r1 == r2 && tid1 == tid2 && length args1 == length args2 && all (uncurry (go seen')) (zip args1 args2)
+                (ExternalType (L _ _ n1), ExternalType (L _ _ n2)) -> n1 == n2
+                (Nonnull _, BuiltinType NullPtrTy) -> False
+                (Pointer _, BuiltinType NullPtrTy) -> True
+                (Nullable _, BuiltinType NullPtrTy) -> True
+                (EnumMem _, BuiltinType t) | isInt t -> True
+                (BuiltinType t, EnumMem _) | isInt t -> True
+                (TypeRef EnumRef _ _, BuiltinType t) | isInt t -> True
+                (BuiltinType t, TypeRef EnumRef _ _) | isInt t -> True
+                (IntLit _, BuiltinType t) | isInt t -> True
+                (BuiltinType t, IntLit _) | isInt t -> True
+                (NameLit _, BuiltinType t) | isInt t -> True
+                (BuiltinType t, NameLit _) | isInt t -> True
+                (Pointer it1, Pointer it2) | isNetworkingStruct it1 && isNetworkingStruct it2 -> True
+                (Pointer it1, Pointer it2) | isSockaddr it1 && isAnyStruct it2 -> True
+                (Pointer it1, Pointer it2) | isAnyStruct it1 && isSockaddr it2 -> True
+                (t1', t2') | isLPTSTR t1' && isPointerToChar t2' -> True
+                (t1', t2') | isLPTSTR t2' && isPointerToChar t1' -> True
+                (Pointer it1, Pointer it2) -> goPtr seen' it1 it2
+                (Pointer it1, Function r ps) -> go seen' it1 (Function r ps)
+                (Function r ps, Pointer it1) -> go seen' (Function r ps) it1
+                (Pointer it1, Array (Just it2) _) -> goPtr seen' it1 it2
+                (Array (Just it1) _, Pointer it2) -> goPtr seen' it1 it2
+                (Array (Just it1) _, Array (Just it2) _) -> goPtr seen' it1 it2
+                (Qualified _ it1, it2) -> go seen' it1 it2
+                (it1, Qualified _ it2) -> go seen' it1 it2
+                (Sized it1 _, it2) -> go seen' it1 it2
+                (it1, Sized it2 _) -> go seen' it1 it2
+                (Array Nothing _, Array _ _) -> True
+                (Array _ _, Array Nothing _) -> True
+                (TypeRef StructRef _ _, Array _ _) -> True
+                (TypeRef UnionRef _ _, Array _ _) -> True
+                (BuiltinType b1, BuiltinType b2)
+                    | b1 == b2 -> True
+                    | isInt b1 && isInt b2 -> True
+                    | b1 == BoolTy && isInt b2 -> True
+                    | isInt b1 && b2 == BoolTy -> True
+                    | otherwise -> False
+                _ -> False
+        in res
+
+    goPtr seen (Qualified qs1 it1) (Qualified qs2 it2) | qs1 == qs2 = goPtr seen it1 it2
+    goPtr seen (Qualified _ it1) it2         = goPtr seen it1 it2
+    goPtr seen it1 (Qualified _ it2)         = goPtr seen it1 it2
+    goPtr seen (Sized it1 _) (Sized it2 _)   = goPtr seen it1 it2
+    goPtr seen (Sized it1 _) it2             = goPtr seen it1 it2
+    goPtr seen it1 (Sized it2 _)             = goPtr seen it1 it2
+    goPtr seen it1 it2                       = go seen it1 it2
+
+isTemplate :: TypeInfo p -> Bool
+isTemplate = \case
+    Template _ _ -> True
+    _ -> False
+
+
+-- | Collect all top-level definitions, including macros
+collectDefinitions :: [Node (Lexeme Text)] -> TypeCheck ()
+collectDefinitions = mapM_ collectDef
+  where
+    collectDef (Fix node) = case node of
+        PreprocDefineMacro (L _ _ name) params body -> do
+            let paramNames = mapMaybe getParamName params
+            State.modify $ \s -> s { tcsMacros = Map.insert name (paramNames, body) (tcsMacros s) }
+        PreprocDefineConst (L _ _ name) body -> do
+            State.modify $ \s -> s { tcsMacros = Map.insert name ([], body) (tcsMacros s) }
+        PreprocDefine (L _ _ _) -> return ()
+        FunctionDefn _ (Fix (FunctionPrototype ty l@(L _ _ name) params)) _ -> do
+            vars <- State.gets tcsVars
+            if Map.member name vars && Map.member name builtinMap
+                then return ()
+                else do
+                    retTy <- convertToTypeInfo ty
+                    paramTypes <- mapM (convertToTypeInfo . getParamType) params
+                    State.modify $ \s -> s { tcsVars = Map.insert name (Function retTy paramTypes, FromDefinition name (Just l)) (tcsVars s) }
+        FunctionDecl _ (Fix (FunctionPrototype ty l@(L _ _ name) params)) -> do
+            vars <- State.gets tcsVars
+            if Map.member name vars && Map.member name builtinMap
+                then return ()
+                else do
+                    retTy <- convertToTypeInfo ty
+                    paramTypes <- mapM (convertToTypeInfo . getParamType) params
+                    State.modify $ \s -> s { tcsVars = Map.insert name (Function retTy paramTypes, FromDefinition name (Just l)) (tcsVars s) }
+        VarDeclStmt (Fix (VarDecl ty l@(L _ _ name) arrs)) _ -> do
+            t <- convertToTypeInfo ty >>= flip addArrays arrs
+            State.modify $ \s -> s { tcsVars = Map.insert name (t, FromDefinition name (Just l)) (tcsVars s) }
+        ConstDecl ty l@(L _ _ name) -> do
+            t <- convertToTypeInfo ty
+            State.modify $ \s -> s { tcsVars = Map.insert name (t, FromDefinition name (Just l)) (tcsVars s) }
+        ConstDefn _ ty l@(L _ _ name) _ -> do
+            t <- convertToTypeInfo ty
+            State.modify $ \s -> s { tcsVars = Map.insert name (t, FromDefinition name (Just l)) (tcsVars s) }
+        AggregateDecl node' -> collectDef node'
+        Typedef ty l@(L _ _ _) -> do
+            collectDef ty
+            t <- convertToTypeInfo ty
+            let tg = TS.toGlobal t
+            insertType l (AliasDescr l (TypeSystem.getTemplates tg) tg)
+        TypedefFunction (Fix (FunctionPrototype ty (L _ _ name) params)) -> do
+            retTy <- convertToTypeInfo ty
+            paramTypes <- mapM (convertToTypeInfo . getParamType) params
+            -- Refresh templates so that the typedef itself doesn't share global templates
+            ft <- refreshTemplates (Function retTy paramTypes)
+            case ft of
+                Function retTy' paramTypes' -> do
+                    let retTyG = TS.toGlobal retTy'
+                        paramTypesG = map TS.toGlobal paramTypes'
+                        templates = TypeSystem.collectTemplates (retTyG : paramTypesG)
+                    dtraceM $ "TypedefFunction: " ++ Text.unpack name ++ " templates=" ++ show templates
+                    State.modify $ \s -> s { tcsTypeSystem = Map.insert name (FuncDescr (L (C.AlexPn 0 0 0) C.IdVar name) templates retTyG paramTypesG) (tcsTypeSystem s) }
+                _ -> error "impossible"
+        Struct l@(L _ _ _) members -> do
+            dtraceM $ "collectDef: Struct " ++ Text.unpack (C.lexemeText l)
+            mTypes <- concat <$> mapM collectMember members
+            let mTypesG = map (second TS.toGlobal) mTypes
+                mTypes' = [ Var (fmap TIdName l') ty | (l', ty) <- mTypesG ]
+            insertType l (StructDescr l (TypeSystem.collectTemplates mTypes') mTypesG)
+        Union l@(L _ _ _) members -> do
+            mTypes <- concat <$> mapM collectMember members
+            let mTypesG = map (second TS.toGlobal) mTypes
+                mTypes' = [ Var (fmap TIdName l') ty | (l', ty) <- mTypesG ]
+            insertType l (UnionDescr l (TypeSystem.collectTemplates mTypes') mTypesG)
+        EnumDecl l@(L _ _ _) members _ -> do
+            let mNames = concatMap collectEnumNames members
+            let enumTy = TypeRef EnumRef (fmap TS.mkId l) []
+            forM_ mNames $ \lx@(L _ _ n) ->
+                State.modify $ \s -> s { tcsVars = Map.insert n (enumTy, FromDefinition n (Just lx)) (tcsVars s) }
+            insertType l (EnumDescr l (map EnumMem (map (fmap TIdName) mNames)))
+        EnumConsts (Just l@(L _ _ _)) members -> do
+            let mNames = concatMap collectEnumNames members
+            let enumTy = TypeRef EnumRef (fmap TS.mkId l) []
+            forM_ mNames $ \lx@(L _ _ n) ->
+                State.modify $ \s -> s { tcsVars = Map.insert n (enumTy, FromDefinition n (Just lx)) (tcsVars s) }
+            insertType l (EnumDescr l (map EnumMem (map (fmap TIdName) mNames)))
+        EnumConsts Nothing members -> do
+            let mNames = concatMap collectEnumNames members
+            forM_ mNames $ \lx@(L _ _ n) ->
+                State.modify $ \s -> s { tcsVars = Map.insert n (BuiltinType S32Ty, FromDefinition n (Just lx)) (tcsVars s) }
+        Group nodes -> mapM_ collectDef nodes
+        ExternC nodes -> mapM_ collectDef nodes
+        PreprocIf _ thenNodes elseNode -> do
+            mapM_ collectDef thenNodes
+            collectDef elseNode
+        PreprocIfdef _ thenNodes elseNode -> do
+            mapM_ collectDef thenNodes
+            collectDef elseNode
+        PreprocIfndef _ thenNodes elseNode -> do
+            mapM_ collectDef thenNodes
+            collectDef elseNode
+        PreprocElse nodes' -> mapM_ collectDef nodes'
+        Commented _ node' -> collectDef node'
+        CommentInfo _ -> return ()
+        node' -> dtraceM $ "collectDef: skipping " ++ show (fmap (const ()) node')
+
+    getParamName (Fix (MacroParam (L _ _ n))) = Just n
+    getParamName _                            = Nothing
+
+    collectEnumNames (Fix (Enumerator name _)) = [name]
+    collectEnumNames (Fix (Commented _ node')) = collectEnumNames node'
+    collectEnumNames (Fix (Group nodes'))      = concatMap collectEnumNames nodes'
+    collectEnumNames _                         = []
+
+    getParamType :: Node (Lexeme Text) -> Node (Lexeme Text)
+    getParamType (Fix (VarDecl ty _ arrs)) = foldr (\_ t -> Fix (TyPointer t)) ty arrs
+    getParamType (Fix (CallbackDecl (L _ _ ty) _)) = Fix (TyFunc (L (C.AlexPn 0 0 0) C.IdVar ty))
+    getParamType (Fix (NonNullParam p)) = getParamType p
+    getParamType (Fix (NullableParam p)) = getParamType p
+    getParamType t                      = t -- Should handle more cases
+
+    collectMember (Fix (MemberDecl (Fix (VarDecl ty (L _ _ name) arrs)) _)) = do
+        t <- convertToTypeInfo ty >>= flip addArrays arrs
+        dtraceM $ "collectMember: name=" ++ Text.unpack name ++ " ty=" ++ show t
+        return [(L (C.AlexPn 0 0 0) C.IdVar name, t)]
+    collectMember (Fix (Commented _ node')) = do
+        dtraceM "collectMember: Commented"
+        collectMember node'
+    collectMember (Fix (Group nodes')) = do
+        dtraceM "collectMember: Group"
+        concat <$> mapM collectMember nodes'
+    collectMember (Fix (PreprocIf _ thenNodes elseNode)) = do
+        m1 <- concat <$> mapM collectMember thenNodes
+        m2 <- collectMember elseNode
+        return $ m1 ++ m2
+    collectMember (Fix (PreprocIfdef _ thenNodes elseNode)) = do
+        m1 <- concat <$> mapM collectMember thenNodes
+        m2 <- collectMember elseNode
+        return $ m1 ++ m2
+    collectMember (Fix (PreprocIfndef _ thenNodes elseNode)) = do
+        m1 <- concat <$> mapM collectMember thenNodes
+        m2 <- collectMember elseNode
+        return $ m1 ++ m2
+    collectMember (Fix (PreprocElse nodes')) =
+        concat <$> mapM collectMember nodes'
+    collectMember _node'@(Fix inner) = do
+        dtraceM $ "collectMember: skipping " ++ show (fmap (const ()) inner)
+        return []
diff --git a/src/Language/Cimple/Analysis/TypeCheck/Constraints.hs b/src/Language/Cimple/Analysis/TypeCheck/Constraints.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeCheck/Constraints.hs
@@ -0,0 +1,783 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE KindSignatures    #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+{-# LANGUAGE TupleSections     #-}
+module Language.Cimple.Analysis.TypeCheck.Constraints
+    ( Constraint (..)
+    , extractConstraints
+    ) where
+
+import           Control.Arrow                       (second)
+import           Control.Monad                       (forM_)
+import           Control.Monad.State.Strict          (State, execState)
+import qualified Control.Monad.State.Strict          as State
+import           Data.Fix                            (Fix (..), foldFixM, unFix)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Maybe                          (mapMaybe)
+import           Data.Set                            (Set)
+import qualified Data.Set                            as Set
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import qualified Debug.Trace                         as Debug
+import           Language.Cimple                     (AssignOp (..),
+                                                      BinaryOp (..),
+                                                      Lexeme (..), Node,
+                                                      NodeF (..), UnaryOp (..))
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.AstUtils   (getLexeme)
+import           Language.Cimple.Analysis.BuiltinMap (builtinMap)
+import           Language.Cimple.Analysis.CFG        (CFG, CFGNode (..),
+                                                      buildCFG)
+import           Language.Cimple.Analysis.Errors     (Context (..),
+                                                      MismatchReason (..))
+import           Language.Cimple.Analysis.TypeSystem (pattern Array,
+                                                      pattern BuiltinType,
+                                                      pattern Const,
+                                                      pattern ExternalType,
+                                                      FullTemplate,
+                                                      pattern FullTemplate,
+                                                      pattern Function,
+                                                      pattern Nonnull,
+                                                      pattern Nullable,
+                                                      pattern Owner, Phase (..),
+                                                      pattern Pointer,
+                                                      pattern Singleton,
+                                                      pattern Sized,
+                                                      StdType (..),
+                                                      pattern Template,
+                                                      TemplateId (..),
+                                                      TypeDescr (..), TypeInfo,
+                                                      TypeInfoF (..),
+                                                      TypeRef (..),
+                                                      pattern TypeRef,
+                                                      TypeSystem,
+                                                      pattern Unsupported,
+                                                      pattern Var,
+                                                      pattern VarArg, builtin,
+                                                      isPointerLike, isVoid,
+                                                      lookupType,
+                                                      templateIdBaseName,
+                                                      unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+import qualified Language.Cimple.Analysis.TypeSystem as TypeSystem
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+-- | A type constraint represents a relationship that must hold between types.
+data Constraint (p :: Phase)
+    = Equality (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    | Subtype (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    | Callable (TypeInfo p) [TypeInfo p] (Maybe (Lexeme Text)) [Context p] (Maybe Integer) Bool
+    | MemberAccess (TypeInfo p) Text (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    | CoordinatedPair (TypeInfo p) (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p]
+    -- ^ If the first TypeInfo (the trigger) is Nonnull, then the second (actual) must be a subtype of the third (expected).
+    deriving (Show, Eq, Ord)
+
+data ExtractionState = ExtractionState
+    { esConstraints :: [Constraint 'Local]
+    , esVars        :: Map Text (TypeInfo 'Local)
+    , esMacros      :: Map Text ([Text], Node (Lexeme Text))
+    , esTypeSystem  :: TypeSystem
+    , esContext     :: [Context 'Local]
+    , esNextId      :: Int
+    , esCallSiteId  :: Integer
+    , esCurrentCFG  :: Maybe (CFG Text)
+    , esSeenNodes   :: Set Int
+    , esReturnType  :: Maybe (TypeInfo 'Local)
+    , esGlobals     :: Set Text
+    }
+
+type Extract = State ExtractionState
+
+addConstraint :: Constraint 'Local -> Extract ()
+addConstraint c = do
+    dtraceM $ "addConstraint: " ++ show c
+    State.modify $ \s -> s { esConstraints = esConstraints s ++ [c] }
+
+withContext :: Context 'Local -> Extract a -> Extract a
+withContext c m = do
+    State.modify $ \s -> s { esContext = c : esContext s }
+    res <- m
+    State.modify $ \s -> s { esContext = drop 1 (esContext s) }
+    return res
+
+nextTemplate :: Maybe Text -> Extract (TypeInfo 'Local)
+nextTemplate mHint = nextTemplateIdx mHint Nothing
+
+nextTemplateIdx :: Maybe Text -> Maybe (TypeInfo 'Local) -> Extract (TypeInfo 'Local)
+nextTemplateIdx mHint idx = do
+    i <- State.gets esNextId
+    State.modify $ \s -> s { esNextId = i + 1 }
+    return $ Template (TIdSolver i mHint) idx
+
+nextTemplateQual :: Text -> Extract (TypeInfo 'Local)
+nextTemplateQual qual = nextTemplate (Just qual)
+
+extractConstraints :: TypeSystem -> FilePath -> Node (Lexeme Text) -> Int -> Integer -> ([Constraint 'Local], Int, Integer)
+extractConstraints ts path node startId startCallSiteId =
+    let s = execState (collectDefs node >> withContext (InFile path) (checkNode node)) initialState
+    in (esConstraints s, esNextId s, esCallSiteId s)
+  where
+    initialState = ExtractionState [] builtinMap Map.empty ts [] startId startCallSiteId Nothing Set.empty Nothing (Set.fromList (Map.keys builtinMap))
+
+    insertType l descr = do
+        ts' <- State.gets esTypeSystem
+        let nameText = C.lexemeText l
+        let existing = Map.lookup nameText ts'
+        let shouldOverwrite = case (descr, existing) of
+                (StructDescr _ _ mems, Just (StructDescr _ _ existingMems)) ->
+                    null existingMems && not (null mems)
+                (UnionDescr _ _ mems, Just (UnionDescr _ _ existingMems)) ->
+                    null existingMems && not (null mems)
+                (_, Just _) -> False -- Don't overwrite existing definitions with anything else for now
+                _ -> True
+        if shouldOverwrite
+            then do
+                let resolved = case descr of
+                        StructDescr dcl tps mems -> StructDescr dcl tps (map (second (TypeSystem.resolveRef ts')) mems)
+                        UnionDescr dcl tps mems -> UnionDescr dcl tps (map (second (TypeSystem.resolveRef ts')) mems)
+                        FuncDescr dcl tps ret params -> FuncDescr dcl tps (TypeSystem.resolveRef ts' ret) (map (TypeSystem.resolveRef ts') params)
+                        AliasDescr dcl tps ty' -> AliasDescr dcl tps (TypeSystem.resolveRef ts' ty')
+                        t -> t
+                -- Re-collect templates after resolution
+                let finalDescr = case resolved of
+                        StructDescr dcl _ mems -> StructDescr dcl (TypeSystem.collectTemplates (map snd mems)) mems
+                        UnionDescr dcl _ mems -> UnionDescr dcl (TypeSystem.collectTemplates (map snd mems)) mems
+                        FuncDescr dcl _ ret params -> FuncDescr dcl (TypeSystem.collectTemplates (ret:params)) ret params
+                        AliasDescr dcl _ ty' -> AliasDescr dcl (TypeSystem.getTemplates ty') ty'
+                        t -> t
+                State.modify $ \s -> s { esTypeSystem = Map.insert nameText finalDescr (esTypeSystem s) }
+            else return ()
+
+    resolveTypeInfo :: TypeInfo 'Local -> Extract (TypeInfo 'Local)
+    resolveTypeInfo t = do
+        ts' <- State.gets esTypeSystem
+        case t of
+            TypeRef _ l _ ->
+                let name = templateIdBaseName (C.lexemeText l) in
+                case Map.lookup name ts' of
+                    Just (AliasDescr _ _ t') -> resolveTypeInfo (TS.toLocal 0 Nothing t')
+                    _                        -> return t
+            Var _ t' -> resolveTypeInfo t'
+            _ -> return t
+
+    addCoordinatedPair :: TypeInfo 'Local -> TypeInfo 'Local -> Node (Lexeme Text) -> Extract ()
+    addCoordinatedPair ct ot cb = do
+        ctx <- State.gets esContext
+        -- We assume the callback's first parameter is the object
+        let unwrapFunction = \case
+                Nonnull t  -> unwrapFunction t
+                Nullable t -> unwrapFunction t
+                Pointer t  -> unwrapFunction t
+                t          -> t
+        let connectTemplates (expected:params) = do
+                addConstraint $ CoordinatedPair ct ot expected (getLexeme cb) ctx
+                let tps1 = TypeSystem.getTemplateVars expected
+                forM_ params $ \p -> do
+                    let tpsP = TypeSystem.getTemplateVars p
+                    forM_ (zip tps1 tpsP) $ \(FullTemplate t1 i1, FullTemplate t2 i2) ->
+                        addConstraint $ Equality (Template t1 i1) (Template t2 i2) (getLexeme cb) ctx GeneralMismatch
+            connectTemplates [] = return ()
+        case unwrapFunction ct of
+            TypeRef TS.FuncRef l _ -> do
+                let cbName = TS.templateIdBaseName (C.lexemeText l)
+                ts' <- State.gets esTypeSystem
+                case Map.lookup cbName ts' of
+                    Just (TS.FuncDescr _ _ _ params) -> connectTemplates (map (TS.toLocal 0 Nothing) params)
+                    _                                -> return ()
+            Function _ params -> connectTemplates params
+            _ -> return ()
+
+    collectMember (Fix node') = case node' of
+        C.MemberDecl typeNode (Just name) -> do
+            t <- convertToTypeInfo Nothing typeNode
+            return [(name, t)]
+        C.MemberDecl (Fix (C.VarDecl ty (L _ _ name) arrs)) _ -> do
+            t <- convertToTypeInfo Nothing ty >>= flip addArrays arrs
+            return [(L (C.AlexPn 0 0 0) C.IdVar name, t)]
+        C.Commented _ n -> collectMember n
+        C.Group nodes -> concat <$> mapM collectMember nodes
+        _ -> return []
+
+    getParamName (Fix (C.MacroParam (L _ _ n))) = Just n
+    getParamName _                              = Nothing
+
+    getParamType f@(Fix node') = case node' of
+        C.VarDecl ty _ _    -> ty
+        C.CallbackDecl ty _ -> Fix (C.TyFunc ty)
+        _                   -> f
+
+    collectDefs (Fix node') = case node' of
+        C.PreprocDefineMacro (L _ _ name) params body -> do
+            let paramNames = mapMaybe getParamName params
+            dtraceM $ "collectDefs: collected macro " ++ T.unpack name
+            State.modify $ \s -> s { esMacros = Map.insert name (paramNames, body) (esMacros s) }
+        C.PreprocDefineConst (L _ _ name) body -> do
+            State.modify $ \s -> s { esMacros = Map.insert name ([], body) (esMacros s) }
+        C.Typedef ty l -> do
+            t <- convertToTypeInfo Nothing ty
+            let tg = TS.toGlobal t
+            insertType l (AliasDescr l (TypeSystem.getTemplates tg) tg)
+            case unFix ty of
+                C.Struct _ members -> do
+                    mTypes <- concat <$> mapM collectMember members
+                    let mTypesG = map (second TS.toGlobal) mTypes
+                    insertType l (StructDescr l (TypeSystem.collectTemplates (map snd mTypesG)) mTypesG)
+                C.Union _ members -> do
+                    mTypes <- concat <$> mapM collectMember members
+                    let mTypesG = map (second TS.toGlobal) mTypes
+                    insertType l (UnionDescr l (TypeSystem.collectTemplates (map snd mTypesG)) mTypesG)
+                _ -> return ()
+        C.TypedefFunction (Fix (C.FunctionPrototype ty l params)) -> do
+            retTy <- convertToTypeInfo Nothing ty
+            paramTypes <- mapM (convertToTypeInfo Nothing . getParamType) params
+            let retTyG = TS.toGlobal retTy
+                paramTypesG = map TS.toGlobal paramTypes
+                tps = TypeSystem.collectTemplates (retTyG : paramTypesG)
+            dtraceM $ "collectDefs: TypedefFunction " ++ T.unpack (C.lexemeText l) ++ " tps=" ++ show tps
+            insertType l (FuncDescr l tps retTyG paramTypesG)
+        C.Struct l members -> do
+            mTypes <- concat <$> mapM collectMember members
+            let mTypesG = map (second TS.toGlobal) mTypes
+            insertType l (StructDescr l (TypeSystem.collectTemplates (map snd mTypesG)) mTypesG)
+        C.Union l members -> do
+            mTypes <- concat <$> mapM collectMember members
+            let mTypesG = map (second TS.toGlobal) mTypes
+            insertType l (UnionDescr l (TypeSystem.collectTemplates (map snd mTypesG)) mTypesG)
+        C.FunctionDecl _scope (Fix (C.FunctionPrototype ty (L _ _ name) params)) -> do
+            vars <- State.gets esVars
+            if Map.member name vars && Map.member name builtinMap
+                then return ()
+                else do
+                    retTy <- convertToTypeInfo (Just name) ty
+                    paramTypes <- mapM (convertToTypeInfo (Just name) . getParamType) params
+                    dtraceM $ "collectDefs: FunctionDecl " ++ T.unpack name ++ " ty=" ++ show (Function retTy paramTypes)
+                    State.modify $ \s -> s { esVars = Map.insert name (Function retTy paramTypes) (esVars s), esGlobals = Set.insert name (esGlobals s) }
+        C.FunctionDefn _scope (Fix (C.FunctionPrototype ty (L _ _ name) params)) _body -> do
+            vars <- State.gets esVars
+            if Map.member name vars && Map.member name builtinMap
+                then return ()
+                else do
+                    retTy <- convertToTypeInfo (Just name) ty
+                    paramTypes <- mapM (convertToTypeInfo (Just name) . getParamType) params
+                    dtraceM $ "collectDefs: FunctionDefn " ++ T.unpack name ++ " ty=" ++ show (Function retTy paramTypes)
+                    State.modify $ \s -> s { esVars = Map.insert name (Function retTy paramTypes) (esVars s), esGlobals = Set.insert name (esGlobals s) }
+        C.VarDeclStmt (Fix (C.VarDecl ty (L _ _ name) arrs)) _mInit -> do
+            t <- convertToTypeInfo Nothing ty >>= flip addArrays arrs
+            State.modify $ \s -> s { esVars = Map.insert name t (esVars s) }
+        C.AggregateDecl n -> collectDefs n
+        C.Group nodes -> mapM_ collectDefs nodes
+        C.Commented _ n -> collectDefs n
+        _ -> dtraceM $ "collectDefs fallback: " ++ show (fmap (const ()) node')
+
+    checkCFG nodeId = do
+        seen <- State.gets esSeenNodes
+        if Set.member nodeId seen
+            then return ()
+            else do
+                State.modify $ \s -> s { esSeenNodes = Set.insert nodeId seen }
+                mCfg <- State.gets esCurrentCFG
+                case mCfg of
+                    Just cfg -> case Map.lookup nodeId cfg of
+                        Just node'' -> do
+                            -- dtraceM $ "checkCFG node " ++ show nodeId ++ " stmts: " ++ show (length (cfgStmts node''))
+                            mapM_ checkNode (cfgStmts node'')
+                            mapM_ checkCFG (cfgSuccs node'')
+                        Nothing -> return () -- dtraceM $ "checkCFG node " ++ show nodeId ++ " not found"
+                    Nothing -> return ()
+
+    checkNode (Fix node') = case node' of
+        C.FunctionDecl _scope proto@(Fix (C.FunctionPrototype _ (L _ _ name) _)) ->
+            withContext (InFunction name) $ do
+                oldVars <- State.gets esVars
+                checkNode proto
+                State.modify $ \s -> s { esVars = oldVars }
+        C.FunctionDefn _scope proto@(Fix (C.FunctionPrototype ty (L _ _ name) params)) _body ->
+            withContext (InFunction name) $ do
+                oldVars <- State.gets esVars
+                oldRt <- State.gets esReturnType
+
+                -- Unify local params/return with global signature to connect templates
+                vars <- State.gets esVars
+                case Map.lookup name vars of
+                    Just (Function sigRet sigParams) -> do
+                        -- Unify return type
+                        rt <- convertToTypeInfo Nothing ty
+                        ctx <- State.gets esContext
+                        addConstraint $ Subtype rt sigRet Nothing ctx GeneralMismatch
+                        State.modify $ \s -> s { esReturnType = Just rt }
+
+                        -- Unify params
+                        checkNode proto -- This registers params in esVars
+                        vars' <- State.gets esVars
+                        let getParamType' (Fix (C.VarDecl _ (L _ _ pName) _)) = Map.lookup pName vars'
+                            getParamType' (Fix (C.CallbackDecl _ (L _ _ pName))) = Map.lookup pName vars'
+                            getParamType' (Fix (C.NonNullParam p)) = getParamType' p
+                            getParamType' (Fix (C.NullableParam p)) = getParamType' p
+                            getParamType' _ = Nothing
+
+                        let paramTypes = mapMaybe getParamType' params
+                        mapM_ (uncurry (\p sigP -> addConstraint $ Subtype sigP p Nothing ctx GeneralMismatch)) (zip paramTypes sigParams)
+                    _ -> do
+                        checkNode proto
+                        rt <- convertToTypeInfo Nothing ty
+                        State.modify $ \s -> s { esReturnType = Just rt }
+
+                let cfg = buildCFG (Fix node')
+                State.modify $ \s -> s { esCurrentCFG = Just cfg, esSeenNodes = Set.empty }
+                checkCFG 0
+                State.modify $ \s -> s { esCurrentCFG = Nothing, esSeenNodes = Set.empty, esVars = oldVars, esReturnType = oldRt }
+        C.FunctionPrototype _ty (L _ _ _name) params -> do
+            mapM_ registerParam params
+            return ()
+        C.CompoundStmt stmts -> mapM_ checkNode stmts
+        C.IfStmt cond then' mElse -> do
+            _ <- inferExpr cond
+            checkNode then'
+            mapM_ checkNode mElse
+        C.WhileStmt cond body -> do
+            _ <- inferExpr cond
+            checkNode body
+        C.ForStmt init' cond step body -> do
+            checkNode init'
+            _ <- inferExpr cond
+            checkNode step
+            checkNode body
+        C.Return mExpr -> do
+            rt <- State.gets esReturnType
+            case (rt, mExpr) of
+                (Just r, Just e) -> do
+                    it <- inferExpr e
+                    ctx <- State.gets esContext
+                    addConstraint $ Subtype it r (getLexeme e) ctx ReturnMismatch
+                _ -> return ()
+            return ()
+        C.SwitchStmt cond body -> do
+            _ <- inferExpr cond
+            mapM_ checkNode body
+        C.Case _ stmt -> checkNode stmt
+        C.Default stmt -> checkNode stmt
+        C.MacroBodyStmt body -> checkNode body
+        C.VarDeclStmt (Fix (C.VarDecl ty (L _ _ name) arrs)) mInit -> do
+            t <- convertToTypeInfo Nothing ty >>= flip addArrays arrs
+            State.modify $ \s -> s { esVars = Map.insert name t (esVars s) }
+            case mInit of
+                Just init' -> processInitializer t init'
+                Nothing    -> return ()
+        C.ExprStmt e -> checkNode e
+        C.AggregateDecl n -> checkNode n
+        C.Struct {} -> return ()
+        C.Union {} -> return ()
+        C.EnumDecl {} -> return ()
+        C.EnumConsts {} -> return ()
+        C.Group nodes -> mapM_ checkNode nodes
+        C.Commented _ n -> checkNode n
+        _ -> do
+             dtraceM $ "checkNode fallback: " ++ show (fmap (const ()) node')
+             _ <- inferExpr (Fix node')
+             return ()
+
+    registerParam (Fix node') = case node' of
+        C.VarDecl ty (L _ _ name) _ -> do
+            t <- convertToTypeInfo Nothing ty
+            State.modify $ \s -> s { esVars = Map.insert name t (esVars s) }
+        C.CallbackDecl (L p1 t1 ty) (L _ _ name) -> do
+            ts' <- State.gets esTypeSystem
+            args <- case Map.lookup ty ts' of
+                Just descr -> mapM (nextTemplate . TS.templateIdHint) (TypeSystem.getDescrTemplates descr)
+                _          -> return []
+            State.modify $ \s -> s { esVars = Map.insert name (Pointer (TypeRef FuncRef (L p1 t1 (TS.mkId ty)) args)) (esVars s) }
+        C.NullableParam p -> do
+            t <- convertToTypeInfo Nothing (Fix node')
+            case p of
+                Fix (C.VarDecl _ (L _ _ name) _) -> State.modify $ \s -> s { esVars = Map.insert name t (esVars s) }
+                _ -> return ()
+        C.NonNullParam p -> do
+            t <- convertToTypeInfo Nothing (Fix node')
+            case p of
+                Fix (C.VarDecl _ (L _ _ name) _) -> State.modify $ \s -> s { esVars = Map.insert name t (esVars s) }
+                _ -> return ()
+        _ -> return ()
+
+    processInitializer :: TypeInfo 'Local -> Node (Lexeme Text) -> Extract ()
+    processInitializer target (Fix (C.InitialiserList [expr])) = do
+        rt <- resolveTypeInfo target
+        case rt of
+            BuiltinType {} -> processInitializer target expr
+            _              -> processInitializerList target [expr]
+
+    processInitializer target (Fix (C.InitialiserList exprs)) =
+        processInitializerList target exprs
+
+    processInitializer target expr = do
+        it <- inferExpr expr
+        ctx <- State.gets esContext
+        addConstraint $ Subtype it target (getLexeme expr) ctx InitializerMismatch
+
+    processInitializerList :: TypeInfo 'Local -> [Node (Lexeme Text)] -> Extract ()
+    processInitializerList target exprs = do
+        rt <- resolveTypeInfo target
+        case rt of
+            TypeRef StructRef l args -> do
+                let name = TS.templateIdBaseName (C.lexemeText l)
+                ts' <- State.gets esTypeSystem
+                case TypeSystem.lookupType name ts' of
+                    Just descr@(TS.StructDescr _ _ _) -> do
+                        -- Instantiate members with args if any
+                        let instantiated = TypeSystem.instantiateDescr 0 Nothing (Map.fromList (zip (TypeSystem.getDescrTemplates descr) args)) descr
+                        case instantiated of
+                            TS.StructDescr _ _ members' ->
+                                mapM_ (uncurry processInitializer) (zip (map snd members') exprs)
+                            _ -> fallback
+                    _ -> fallback
+            Array (Just et) _ ->
+                mapM_ (processInitializer et) exprs
+            _ -> fallback
+      where
+        fallback = do
+            it <- inferExpr (Fix (C.InitialiserList exprs))
+            ctx <- State.gets esContext
+            addConstraint $ Subtype it target (getLexeme (Fix (C.InitialiserList exprs))) ctx InitializerMismatch
+
+    inferExpr (Fix node') = case node' of
+        C.VarExpr (L _ _ name) -> do
+            if name == "__func__"
+                then return $ Pointer (Const (BuiltinType CharTy))
+                else do
+                    vars <- State.gets esVars
+                    case Map.lookup name vars of
+                        Just ty -> return ty
+                        Nothing -> nextTemplate Nothing
+        C.LiteralExpr C.Int lx -> do
+            let val = read (T.unpack (C.lexemeText lx))
+            return $ Singleton S32Ty val
+        C.LiteralExpr C.Bool _ -> return $ BuiltinType BoolTy
+        C.LiteralExpr C.Char _ -> return $ BuiltinType CharTy
+        C.LiteralExpr C.Float _ -> return $ BuiltinType F32Ty
+        C.LiteralExpr C.String _ -> return $ Pointer (BuiltinType CharTy)
+        C.LiteralExpr C.ConstId (L _ _ name)
+            | name == "nullptr" -> return $ BuiltinType NullPtrTy
+            | name == "__FILE__" || name == "__func__" -> return $ Pointer (Const (BuiltinType CharTy))
+            | name == "__LINE__" -> return $ BuiltinType S32Ty
+            | otherwise -> do
+                vars <- State.gets esVars
+                case Map.lookup name vars of
+                    Just ty -> return ty
+                    Nothing -> nextTemplate Nothing
+        C.ArrayAccess base idx -> do
+            bt <- inferExpr base
+            it <- inferExpr idx
+            res <- case unwrap bt of
+                Array (Just et) _ -> return $ TypeSystem.indexTemplates it et
+                Pointer et -> return $ TypeSystem.indexTemplates it et
+                _ -> do
+                    et <- nextTemplate Nothing
+                    ctx <- State.gets esContext
+                    addConstraint $ Subtype bt (Array (Just et) []) (getLexeme base) ctx GeneralMismatch
+                    return $ TypeSystem.indexTemplates it et
+            dtraceM $ "ArrayAccess: bt=" ++ show bt ++ " it=" ++ show it ++ " res=" ++ show res
+            return res
+        C.MemberAccess obj field -> do
+            ot <- inferExpr obj
+            mt <- nextTemplate Nothing
+            ctx <- State.gets esContext
+            addConstraint $ Language.Cimple.Analysis.TypeCheck.Constraints.MemberAccess ot (C.lexemeText field) mt (getLexeme obj) ctx GeneralMismatch
+            return mt
+        C.PointerAccess obj field -> do
+            ot <- inferExpr obj
+            mt <- nextTemplate Nothing
+            ctx <- State.gets esContext
+            addConstraint $ Language.Cimple.Analysis.TypeCheck.Constraints.MemberAccess (unwrapInner' ot) (C.lexemeText field) mt (getLexeme obj) ctx GeneralMismatch
+            return mt
+          where
+            unwrapInner' (Pointer t)  = t
+            unwrapInner' (Nonnull t)  = unwrapInner' t
+            unwrapInner' (Nullable t) = unwrapInner' t
+            unwrapInner' t            = t
+        C.UnaryExpr C.UopAddress e -> Nonnull . Pointer <$> inferExpr e
+        C.UnaryExpr C.UopDeref e -> do
+            et <- inferExpr e
+            case et of
+                Pointer t            -> return t
+                Nonnull (Pointer t)  -> return t
+                Nullable (Pointer t) -> return t
+                _                    -> nextTemplate Nothing
+        C.CastExpr ty e -> do
+            targetTy <- convertToTypeInfo Nothing ty
+            processInitializer targetTy e
+            return targetTy
+        C.MacroBodyStmt body -> inferExpr body
+        C.ParenExpr e -> inferExpr e
+        C.InitialiserList exprs -> do
+            tys <- mapM inferExpr exprs
+            case tys of
+                []    -> return $ Array Nothing []
+                (t:_) -> return $ Array (Just t) tys
+        C.AssignExpr lhs op rhs -> do
+            lt <- inferExpr lhs
+            case (op, unFix rhs) of
+                (C.AopEq, C.InitialiserList _) -> do
+                    processInitializer lt rhs
+                    return lt
+                _ -> do
+                    rt <- inferExpr rhs
+                    ctx <- State.gets esContext
+                    let reason = if op == C.AopEq then AssignmentMismatch else GeneralMismatch
+                    addConstraint $ Subtype rt lt (getLexeme lhs) ctx reason
+                    return lt
+        C.FunctionCall fun args -> inferFunctionCall fun args
+        C.BinaryExpr lhs op rhs -> do
+            lt <- decay <$> inferExpr lhs
+            rt <- decay <$> inferExpr rhs
+            ctx <- State.gets esContext
+            case op of
+                C.BopEq -> return $ BuiltinType BoolTy
+                C.BopNe -> return $ BuiltinType BoolTy
+                C.BopLt -> return $ BuiltinType BoolTy
+                C.BopLe -> return $ BuiltinType BoolTy
+                C.BopGt -> return $ BuiltinType BoolTy
+                C.BopGe -> return $ BuiltinType BoolTy
+                C.BopAnd -> do
+                    addConstraint $ Subtype (decay lt) (BuiltinType BoolTy) (getLexeme lhs) ctx GeneralMismatch
+                    addConstraint $ Subtype (decay rt) (BuiltinType BoolTy) (getLexeme rhs) ctx GeneralMismatch
+                    return $ BuiltinType BoolTy
+                C.BopOr -> do
+                    addConstraint $ Subtype (decay lt) (BuiltinType BoolTy) (getLexeme lhs) ctx GeneralMismatch
+                    addConstraint $ Subtype (decay rt) (BuiltinType BoolTy) (getLexeme rhs) ctx GeneralMismatch
+                    return $ BuiltinType BoolTy
+                C.BopPlus -> do
+                    if isPointerLike lt
+                        then do
+                            addConstraint $ Subtype rt (BuiltinType S32Ty) (getLexeme rhs) ctx GeneralMismatch
+                            return lt
+                        else if isPointerLike rt
+                        then do
+                            addConstraint $ Subtype lt (BuiltinType S32Ty) (getLexeme lhs) ctx GeneralMismatch
+                            return rt
+                        else do
+                            addConstraint $ Equality lt rt (getLexeme lhs) ctx GeneralMismatch
+                            return lt
+                C.BopMinus -> do
+                    if isPointerLike lt && isPointerLike rt
+                        then return $ BuiltinType SizeTy
+                        else if isPointerLike lt
+                        then do
+                            addConstraint $ Subtype rt (BuiltinType S32Ty) (getLexeme rhs) ctx GeneralMismatch
+                            return lt
+                        else do
+                            addConstraint $ Equality lt rt (getLexeme lhs) ctx GeneralMismatch
+                            return lt
+                _ -> do
+                    addConstraint $ Equality lt rt (getLexeme lhs) ctx GeneralMismatch
+                    return lt
+        C.UnaryExpr C.UopNot e -> do
+            _ <- inferExpr e
+            return $ BuiltinType BoolTy
+        C.UnaryExpr _ e -> inferExpr e
+        C.TernaryExpr cond then' else' -> do
+            _ <- inferExpr cond
+            tt <- decay <$> inferExpr then'
+            et <- decay <$> inferExpr else'
+            ctx <- State.gets esContext
+            addConstraint $ Equality tt et (getLexeme then') ctx GeneralMismatch
+            return tt
+        C.CompoundLiteral ty e -> do
+            targetTy <- convertToTypeInfo Nothing ty
+            processInitializer targetTy e
+            return targetTy
+        C.SizeofExpr _ -> return $ BuiltinType SizeTy
+        C.SizeofType _ -> return $ BuiltinType SizeTy
+        _ -> do
+            -- In a real system, we'd report an error here.
+            -- For now, return a named template to aid debugging.
+            let name = T.pack $ take 40 $ show node'
+            return $ Unsupported name
+
+    inferFunctionCall fun args = do
+        -- dtraceM $ "inferFunctionCall: fun=" ++ show (fmap (const ()) (unFix fun))
+        ft <- inferExpr fun
+        atys <- mapM inferExpr args
+        ctx <- State.gets esContext
+
+        csId <- State.gets esCallSiteId
+        State.modify $ \s -> s { esCallSiteId = csId + 1 }
+
+        globals <- State.gets esGlobals
+        let shouldRefresh = case unFix fun of
+                C.VarExpr (L _ _ name) -> Set.member name globals
+                _                      -> False
+
+        -- dtraceM $ "inferFunctionCall: adding Callable constraint for " ++ show ft
+        addConstraint $ Callable ft atys (getLexeme fun) ctx (Just csId) shouldRefresh
+
+        -- CoordinatedPair for registration patterns
+        let isReg name = "registerhandler" `T.isInfixOf` name || "callback" `T.isInfixOf` name
+        case (unFix fun, args) of
+            (C.VarExpr (L _ _ name), [obj, _, _, cb]) | name == "sort" -> do
+                ct <- inferExpr cb
+                ot <- inferExpr obj
+                addCoordinatedPair ct ot cb
+            (C.VarExpr (L _ _ name), [_, _, cb, obj]) | isReg name -> do
+                ct <- inferExpr cb
+                ot <- inferExpr obj
+                addCoordinatedPair ct ot cb
+            (C.VarExpr (L _ _ name), [obj, cb]) | isReg name -> do
+                ct <- inferExpr cb
+                ot <- inferExpr obj
+                addCoordinatedPair ct ot cb
+            (C.VarExpr (L _ _ name), [cb, obj]) | isReg name -> do
+                ct <- inferExpr cb
+                ot <- inferExpr obj
+                addCoordinatedPair ct ot cb
+            _ -> return ()
+
+        -- Macro expansion
+        let mName = case unFix fun of
+                C.VarExpr (L _ _ name)               -> Just name
+                C.LiteralExpr C.ConstId (L _ _ name) -> Just name
+                _                                    -> Nothing
+
+        mMacroRes <- case mName of
+            Just name -> do
+                macros <- State.gets esMacros
+                -- dtraceM $ "inferFunctionCall: looking up macro " ++ T.unpack name ++ ", available: " ++ show (Map.keys macros)
+                case Map.lookup name macros of
+                    Just (params, body) -> do
+                        withContext (InMacro name) $ do
+                            -- Substitute params with args in esVars
+                            oldVars <- State.gets esVars
+                            let subVars = Map.fromList $ zip params atys
+                            State.modify $ \s -> s { esVars = Map.union subVars (esVars s) }
+                            res <- inferExpr body
+                            checkNode body
+                            State.modify $ \s -> s { esVars = oldVars }
+                            return (Just res)
+                    Nothing -> return Nothing
+            Nothing -> return Nothing
+
+        case mMacroRes of
+            Just res -> return res
+            Nothing -> do
+                ts' <- State.gets esTypeSystem
+                let resolvedFt = case ft of
+                        TypeRef TS.FuncRef l _ ->
+                            let name = templateIdBaseName (C.lexemeText l) in
+                            case Map.lookup name ts' of
+                                Just (FuncDescr _ _ ret ps) -> Function (TS.toLocal 0 Nothing ret) (map (TS.toLocal 0 Nothing) ps)
+                                _                           -> ft
+                        _ -> ft
+                case resolvedFt of
+                    Function ret _params -> return ret
+                    _                    -> nextTemplate Nothing
+
+    convertToTypeInfo :: Maybe Text -> Node (Lexeme Text) -> Extract (TypeInfo 'Local)
+    convertToTypeInfo mQual (Fix node') = case node' of
+        C.TyStd l     -> return $ TS.toLocal 0 Nothing (TS.builtin l)
+        C.NonNullParam p -> Nonnull <$> convertToTypeInfo mQual p
+        C.NullableParam p -> Nullable <$> convertToTypeInfo mQual p
+        C.VarDecl ty _ arrs -> convertToTypeInfo mQual ty >>= flip addArrays arrs
+        C.TyConst t   -> Const <$> convertToTypeInfo mQual t
+        C.TyOwner t   -> Owner <$> convertToTypeInfo mQual t
+        C.TyNonnull t -> Nonnull <$> convertToTypeInfo mQual t
+        C.TyNullable t -> Nullable <$> convertToTypeInfo mQual t
+        C.TyPointer t -> do
+            it <- convertToTypeInfo mQual t
+            deVoidifyType mQual (Pointer it)
+        C.TyStruct l@(L _ _ name) -> do
+            ts' <- State.gets esTypeSystem
+            case Map.lookup name ts' of
+                Just descr -> do
+                    descr' <- deVoidifyDescr mQual descr
+                    let tps = TypeSystem.getDescrTemplates descr'
+                    args <- case mQual of
+                        Just q  -> mapM (const (nextTemplate (Just q))) tps
+                        Nothing -> mapM (nextTemplate . TS.templateIdHint) tps
+                    return $ TypeRef StructRef (fmap TS.mkId l) args
+                _ -> return $ TypeRef StructRef (fmap TS.mkId l) []
+        C.TyUnion l@(L _ _ name) -> do
+            ts' <- State.gets esTypeSystem
+            case Map.lookup name ts' of
+                Just descr -> do
+                    descr' <- deVoidifyDescr mQual descr
+                    let tps = TypeSystem.getDescrTemplates descr'
+                    args <- case mQual of
+                        Just q  -> mapM (const (nextTemplate (Just q))) tps
+                        Nothing -> mapM (nextTemplate . TS.templateIdHint) tps
+                    return $ TypeRef UnionRef (fmap TS.mkId l) args
+                _ -> return $ TypeRef UnionRef (fmap TS.mkId l) []
+        C.TyFunc l@(L _ _ name) -> do
+            ts' <- State.gets esTypeSystem
+            args <- case Map.lookup name ts' of
+                Just descr -> case mQual of
+                    Just q  -> mapM (const (nextTemplate (Just q))) (TypeSystem.getDescrTemplates descr)
+                    Nothing -> mapM (nextTemplate . TS.templateIdHint) (TypeSystem.getDescrTemplates descr)
+                _ -> return []
+            return $ TypeRef FuncRef (fmap TS.mkId l) args
+        C.Ellipsis -> return VarArg
+        C.TyUserDefined l@(L pos ty name) -> do
+            ts' <- State.gets esTypeSystem
+            case Map.lookup name ts' of
+                Just (AliasDescr _ _ t) -> do
+                    deVoidifyType mQual (TS.toLocal 0 Nothing t)
+                Just descr -> do
+                    descr' <- deVoidifyDescr mQual descr
+                    let tps = TypeSystem.getDescrTemplates descr'
+                    args <- case mQual of
+                        Just q  -> mapM (const (nextTemplate (Just q))) tps
+                        Nothing -> mapM (nextTemplate . TS.templateIdHint) tps
+                    let (ref, name') = case descr' of
+                                StructDescr dl _ _ -> (StructRef, C.lexemeText dl)
+                                UnionDescr dl _ _ -> (UnionRef, C.lexemeText dl)
+                                FuncDescr dl _ _ _ -> (FuncRef, C.lexemeText dl)
+                                _ -> (UnresolvedRef, name)
+                    return $ TypeRef ref (L pos ty (TS.mkId name')) args
+                _ -> return $ TypeRef UnresolvedRef (fmap TS.mkId l) []
+        _ -> return $ BuiltinType VoidTy
+
+    decay (Singleton std _) = BuiltinType std
+    decay t                 = t
+
+    deVoidifyType :: Maybe Text -> TypeInfo 'Local -> Extract (TypeInfo 'Local)
+    deVoidifyType mQual = foldFixM $ \case
+        PointerF t | isVoid t -> do
+            tp <- case mQual of
+                Just q  -> nextTemplateQual q
+                Nothing -> nextTemplate Nothing
+            let applyWrappers (BuiltinType VoidTy) x = x
+                applyWrappers (Const t') x           = Const (applyWrappers t' x)
+                applyWrappers (Owner t') x           = Owner (applyWrappers t' x)
+                applyWrappers (Nonnull t') x         = Nonnull (applyWrappers t' x)
+                applyWrappers (Nullable t') x       = Nullable (applyWrappers t' x)
+                applyWrappers (Var l t') x           = Var l (applyWrappers t' x)
+                applyWrappers (Sized t' l) x         = Sized (applyWrappers t' x) l
+                applyWrappers _ x                   = x
+            return $ Pointer (applyWrappers t tp)
+        f -> return $ Fix f
+
+    deVoidifyDescr :: Maybe Text -> TypeDescr 'Global -> Extract (TypeDescr 'Local)
+    deVoidifyDescr mQual = \case
+        StructDescr l _ mems -> do
+            mems' <- mapM (\(ln, t) -> (ln,) <$> deVoidifyType mQual (TS.toLocal 0 Nothing t)) mems
+            return $ StructDescr l (TypeSystem.collectTemplates (map snd mems')) mems'
+        UnionDescr l _ mems -> do
+            mems' <- mapM (\(ln, t) -> (ln,) <$> deVoidifyType mQual (TS.toLocal 0 Nothing t)) mems
+            return $ UnionDescr l (TypeSystem.collectTemplates (map snd mems')) mems'
+        FuncDescr l _ ret ps -> do
+            ret' <- deVoidifyType mQual (TS.toLocal 0 Nothing ret)
+            ps' <- mapM (deVoidifyType mQual . (TS.toLocal 0 Nothing)) ps
+            return $ FuncDescr l (TypeSystem.collectTemplates (ret' : ps')) ret' ps'
+        AliasDescr l _ ty -> do
+            ty' <- deVoidifyType mQual (TS.toLocal 0 Nothing ty)
+            return $ AliasDescr l (TypeSystem.collectTemplates [ty']) ty'
+        t -> return $ TS.instantiateDescr 0 Nothing Map.empty t
+
+    addArrays ty [] = return ty
+    addArrays ty _  = return $ Array (Just ty) [] -- Simplified
diff --git a/src/Language/Cimple/Analysis/TypeCheck/Solver.hs b/src/Language/Cimple/Analysis/TypeCheck/Solver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeCheck/Solver.hs
@@ -0,0 +1,571 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeCheck.Solver
+    ( solveConstraints
+    ) where
+
+import           Control.Applicative                             ((<|>))
+import           Control.Monad                                   (foldM, forM_,
+                                                                  mapM_, void)
+import           Control.Monad.State.Strict                      (State, StateT,
+                                                                  execState)
+import qualified Control.Monad.State.Strict                      as State
+import           Data.Fix                                        (Fix (..),
+                                                                  foldFix)
+import           Data.List                                       (nub)
+import           Data.Map.Strict                                 (Map)
+import qualified Data.Map.Strict                                 as Map
+import           Data.Maybe                                      (fromMaybe)
+import           Data.Set                                        (Set)
+import qualified Data.Set                                        as Set
+import           Data.Text                                       (Text)
+import qualified Data.Text                                       as T
+import qualified Data.Tree                                       as Tree
+import qualified Debug.Trace                                     as Debug
+import           Language.Cimple                                 (Lexeme (..))
+import qualified Language.Cimple                                 as C
+import           Language.Cimple.Analysis.Errors                 (Context (..),
+                                                                  ErrorInfo (..),
+                                                                  MismatchContext (..),
+                                                                  MismatchDetail (..),
+                                                                  MismatchReason (..),
+                                                                  Provenance (..),
+                                                                  Qualifier (..),
+                                                                  TypeError (..))
+import qualified Language.Cimple.Analysis.Pretty                 as P
+import           Language.Cimple.Analysis.TypeCheck.Constraints  (Constraint (..))
+import           Language.Cimple.Analysis.TypeSystem             (pattern Array, pattern BuiltinType,
+                                                                  pattern Const,
+                                                                  FullTemplate,
+                                                                  pattern FullTemplate,
+                                                                  FullTemplateF (..),
+                                                                  pattern Function,
+                                                                  pattern IntLit,
+                                                                  pattern Nonnull,
+                                                                  pattern Nullable,
+                                                                  pattern Owner,
+                                                                  Phase (..),
+                                                                  pattern Pointer,
+                                                                  pattern Singleton,
+                                                                  pattern Sized,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TemplateId (..),
+                                                                  TypeDescr (..),
+                                                                  TypeInfo,
+                                                                  TypeInfoF (..),
+                                                                  TypeRef (..),
+                                                                  pattern TypeRef,
+                                                                  TypeSystem,
+                                                                  pattern Var,
+                                                                  pattern VarArg,
+                                                                  getDescrTemplates,
+                                                                  indexTemplates,
+                                                                  instantiateDescr,
+                                                                  isInt,
+                                                                  isLPTSTR,
+                                                                  isNetworkingStruct,
+                                                                  isPointerLike,
+                                                                  isPointerToChar,
+                                                                  isSockaddr,
+                                                                  isSockaddrIn,
+                                                                  isSockaddrIn6,
+                                                                  isSockaddrStorage,
+                                                                  isSpecial,
+                                                                  isVarArg,
+                                                                  isVoid,
+                                                                  lookupType,
+                                                                  resolveType',
+                                                                  templateIdBaseName,
+                                                                  templateIdToText,
+                                                                  unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem             as TS
+import qualified Language.Cimple.Analysis.TypeSystem.GraphSolver as GS
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph   as TG
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+data SolverState = SolverState
+    { ssBindings   :: Map (FullTemplate 'Local) (TypeInfo 'Local, Provenance 'Local)
+    , ssErrors     :: [ErrorInfo 'Local]
+    , ssTypeSystem :: TypeSystem
+    , ssNextId     :: Int
+    , ssFinalPass  :: Bool
+    }
+
+type Solver = State SolverState
+
+-- | Solves a set of type constraints and returns any errors found.
+solveConstraints :: TypeSystem -> [Constraint 'Local] -> [ErrorInfo 'Local]
+solveConstraints ts constraints =
+    let -- Pass 1-3: Structural refinement
+        s1 = execState (mapM_ solve constraints >> resolveBindings) initialState
+        s2 = execState (mapM_ solve constraints >> resolveBindings) s1
+        s3 = execState (mapM_ solve constraints >> resolveBindings) s2
+        -- Pass 4: Final error reporting
+        finalState = execState (do
+            State.modify (\s -> s { ssErrors = [], ssFinalPass = True })
+            mapM_ solve constraints
+            resolveBindings) s3
+    in ssErrors finalState
+  where
+    initialState = SolverState Map.empty [] ts 0 False
+
+-- | Resolves all current bindings co-inductively to their fixed points.
+resolveBindings :: Solver ()
+resolveBindings = do
+    bindings <- State.gets ssBindings
+    let graph = Map.map (\(ty, _) -> Set.singleton (TG.fromTypeInfo ty)) bindings
+        resolvedMap = GS.solveAll graph (Map.keys bindings)
+    State.modify $ \s -> s { ssBindings = Map.mapWithKey (\k (ty, prov) -> (maybe ty TG.toTypeInfo (Map.lookup k resolvedMap), prov)) (ssBindings s) }
+
+nextTemplate :: Maybe Text -> Solver (TypeInfo 'Local)
+nextTemplate mHint = do
+    i <- State.gets ssNextId
+    State.modify $ \s -> s { ssNextId = i + 1 }
+    return $ Template (TIdSolver i mHint) Nothing
+
+refreshTemplates :: Maybe Integer -> TypeInfo 'Local -> Solver (TypeInfo 'Local)
+refreshTemplates mCsId ty = State.evalStateT (snd (foldFix alg ty)) Map.empty
+  where
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, StateT (Map (FullTemplate 'Local) (TypeInfo 'Local)) Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, StateT (Map (FullTemplate 'Local) (TypeInfo 'Local)) Solver (TypeInfo 'Local))
+    alg f = (Fix (fmap fst f), do
+        case f of
+            TemplateF (FullTemplate t i) -> do
+                m <- State.get
+                let k = FullTemplate t (fst <$> i)
+                case Map.lookup k m of
+                    Just t' -> return t'
+                    Nothing -> do
+                        i' <- maybe (return Nothing) (fmap Just . snd) i
+                        t' <- State.lift $ case mCsId of
+                            Just csId -> return $ Template (TIdInst csId (convertId t)) i'
+                            Nothing   -> nextTemplate (Just $ templateIdBaseName t)
+                        State.modify $ Map.insert k t'
+                        return t'
+            _ -> Fix <$> traverse (\(_, getInner) -> getInner) f)
+
+    convertId :: TemplateId 'Local -> TemplateId 'Global
+    convertId (TIdInst _ tid')  = tid'
+    convertId (TIdPoly _ i h _) = TIdParam i h
+    convertId (TIdSolver _ h)   = TIdParam 0 h
+    convertId (TIdAnonymous h)  = TIdParam 0 h
+    convertId (TIdRec i)        = TIdRec i
+
+solve :: Constraint 'Local -> Solver ()
+solve = \case
+    Equality t1 t2 loc ctx reason -> do
+        mDetail <- unify t1 t2 reason loc ctx
+        case mDetail of
+            Just detail -> reportError loc ctx (TypeMismatch t2 t1 reason (Just detail))
+            Nothing -> return ()
+    Subtype actual expected loc ctx reason -> do
+        mDetail <- subtype actual expected reason loc ctx
+        case mDetail of
+            Just detail -> reportError loc ctx (TypeMismatch expected actual reason (Just detail))
+            Nothing -> return ()
+    Callable t args loc ctx csId shouldRefresh -> checkCallable t args loc ctx csId shouldRefresh
+    MemberAccess t field mt loc ctx reason -> checkMemberAccess t field mt reason loc ctx
+    CoordinatedPair trigger actual expected loc ctx -> do
+        tr <- resolveType =<< applyBindings trigger
+        let isNull = \case
+                BuiltinType NullPtrTy -> True
+                _ -> False
+        case tr of
+            _ | isNull tr -> return ()
+            _             -> do
+                mDetail <- subtype actual expected GeneralMismatch loc ctx
+                case mDetail of
+                    Just detail -> reportError loc ctx (TypeMismatch expected actual GeneralMismatch (Just detail))
+                    Nothing -> return ()
+
+unify :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver (Maybe (MismatchDetail 'Local))
+unify t1 t2 reason loc ctx = do
+    dtraceM $ "UNIFY: " ++ show t1 ++ " with " ++ show t2
+    m1 <- subtype t1 t2 reason loc ctx
+    m2 <- subtype t2 t1 reason loc ctx
+    return (m1 <|> m2)
+
+subtype :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver (Maybe (MismatchDetail 'Local))
+subtype actual expected reason ml ctx = do
+    let ctx' = InUnification expected actual reason : ctx
+    ab1 <- resolveType =<< applyBindings actual
+    eb1 <- resolveType =<< applyBindings expected
+    case (ab1, eb1) of
+        (Template t i, a) -> bind t i a reason ml ctx' >> return Nothing
+        (a, Template t i) -> bind t i a reason ml ctx' >> return Nothing
+
+        _ | Just (FullTemplate t i) <- getTemplate (resolveType' ab1) -> bind t i eb1 reason ml ctx' >> return Nothing
+        _ | Just (FullTemplate t i) <- getTemplate (resolveType' eb1) -> bind t i ab1 reason ml ctx' >> return Nothing
+
+        (Nonnull a, Nonnull e)   -> subtype a e reason ml ctx'
+        (Nullable a, Nullable e) -> subtype a e reason ml ctx'
+
+        (Pointer a, Function re pe) -> subtype a (Function re pe) reason ml ctx'
+        (Function ra pa, Pointer e) -> subtype (Function ra pa) e reason ml ctx'
+
+        (Owner a, Owner e)       -> subtype a e reason ml ctx'
+        (Const a, Const e)       -> subtype a e reason ml ctx'
+
+        (Pointer a, Pointer e) -> fmap (wrap InPointer) <$> subtypePtr a e reason ml ctx'
+        (Array (Just a) _, Pointer e) -> fmap (wrap InPointer) <$> subtypePtr a e reason ml ctx'
+        (Pointer a, Array (Just e) _) -> fmap (wrap InPointer) <$> subtypePtr a e reason ml ctx'
+        (Array (Just a) ds1, Array (Just e) ds2) -> do
+            m1 <- fmap (wrap InArray) <$> subtype a e reason ml ctx'
+            if not (null ds2) && length ds1 /= length ds2
+                then return $ m1 <|> Just (BaseMismatch expected actual)
+                else do
+                    m2 <- foldM (\m (d1, d2) -> (m <|>) . fmap (wrap InArray) <$> subtype d1 d2 reason ml ctx') Nothing (zip ds1 ds2)
+                    return $ m1 <|> m2
+
+        (Function ra pa, Function re pe) -> do
+            mRet <- fmap (wrap InFunctionReturn) <$> subtype ra re reason ml ctx'
+            let expCount = length (filter (not . isVarArg) pe)
+            let actCount = length pa
+            if actCount < expCount
+                then return $ mRet <|> Just (ArityMismatch expCount actCount)
+                else if actCount > expCount && not (any isVarArg pe)
+                    then return $ mRet <|> Just (ArityMismatch expCount actCount)
+                    else do
+                        -- Check argument types
+                        mArgs <- foldM (\m (i, (p_act, p_exp)) -> (m <|>) . fmap (wrap (InFunctionParam i)) <$> subtype p_exp p_act reason ml ctx') Nothing (zip [0..] (zip pa (filter (not . isVarArg) pe)))
+                        return $ mRet <|> mArgs
+
+        (Function ra pa, Nonnull e) -> subtype (Function ra pa) e reason ml ctx'
+        (Function ra pa, Nullable e) -> subtype (Function ra pa) e reason ml ctx'
+
+        (Nonnull a, e)           -> subtype a e reason ml ctx'
+        (Nullable a, e)          -> subtype a e reason ml ctx'
+        (a, Nullable e)          -> subtype a e reason ml ctx'
+
+        (_, Nonnull _)           -> return $ Just (MissingQualifier QNonnull expected actual)
+        (_, Owner _)
+            | ab1 == BuiltinType NullPtrTy -> return Nothing
+            | otherwise -> return $ Just (MissingQualifier QOwner expected actual)
+        (Owner a, e)             -> subtype a e reason ml ctx'
+        (Const a, e)
+            | not (isPointerLike ab1) -> subtype a e reason ml ctx'
+            | otherwise -> return $ Just (MissingQualifier QConst expected actual)
+
+        (Function ra pa, TypeRef FuncRef (L _ _ tid) args) -> do
+            ts <- State.gets ssTypeSystem
+            let name = templateIdBaseName tid
+            case lookupType name ts of
+                Just descr@(FuncDescr _ _ _ _) -> do
+                    case instantiateDescr 0 Nothing (Map.fromList (zip (getDescrTemplates descr) args)) descr of
+                        FuncDescr _ _ re pe ->
+                            subtype (Function ra pa) (Function re pe) reason ml ctx'
+                        _ -> error "impossible"
+                _ -> return $ Just (BaseMismatch expected actual)
+
+        (TypeRef FuncRef (L _ _ tid) args, Function re pe) -> do
+            ts <- State.gets ssTypeSystem
+            let name = templateIdBaseName tid
+            case lookupType name ts of
+                Just descr@(FuncDescr _ _ _ _) -> do
+                    case instantiateDescr 0 Nothing (Map.fromList (zip (getDescrTemplates descr) args)) descr of
+                        FuncDescr _ _ ra pa ->
+                            subtype (Function ra pa) (Function re pe) reason ml ctx'
+                        _ -> error "impossible"
+                _ -> return $ Just (BaseMismatch expected actual)
+
+        (TypeRef r1 l1 a1, TypeRef r2 l2 a2)
+            | (r1 == r2 || r1 == UnresolvedRef || r2 == UnresolvedRef) && C.lexemeText l1 == C.lexemeText l2 -> do
+                ts <- State.gets ssTypeSystem
+                let getArgs l a = if null a
+                        then do
+                            let name = templateIdBaseName (C.lexemeText l)
+                            let lText = fmap (const name) l
+                            let tps = getDescrTemplates (Map.findWithDefault (AliasDescr lText [] (BuiltinType VoidTy)) name ts)
+                            mapM (nextTemplate . TS.templateIdHint) tps
+                        else mapM applyBindings a
+                a1' <- getArgs l1 a1
+                a2' <- getArgs l2 a2
+                if length a1' /= length a2'
+                    then return $ Just (BaseMismatch expected actual)
+                    else do
+                        mArgs <- foldM (\m (v1, v2) -> (m <|>) <$> unify v1 v2 reason ml ctx') Nothing (zip a1' a2')
+                        return mArgs
+
+        (a, e) -> if compatible a e
+                    then return Nothing
+                    else return $ Just (BaseMismatch expected actual)
+  where
+    wrap mctx detail = MismatchDetail expected actual reason (Just (mctx, detail))
+
+subtypePtr :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver (Maybe (MismatchDetail 'Local))
+subtypePtr actual expected reason ml ctx = do
+    let ctx' = InUnification expected actual reason : ctx
+    ab1 <- resolveType =<< applyBindings actual
+    eb1 <- resolveType =<< applyBindings expected
+    case (ab1, eb1) of
+        _ | isNetworkingStruct ab1 && isNetworkingStruct eb1 -> return Nothing
+        (Const a, Const e) -> subtypePtr a e reason ml ctx'
+        (a, Const e)       -> subtypePtr a e reason ml ctx'
+        (Const _, e) | Just _ <- getTemplate (resolveType' e) -> subtype ab1 eb1 reason ml ctx'
+        (Const _, _)       -> return $ Just (MissingQualifier QConst expected actual)
+        _                  -> subtype ab1 eb1 reason ml ctx'
+
+bind :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver ()
+bind name index ty reason ml ctx = do
+    bindings <- State.gets ssBindings
+    ty' <- applyBindings ty
+    dtraceM $ "bind name=" ++ show name ++ " index=" ++ show index ++ " to " ++ show ty'
+
+    let unifyAndReport existing = do
+            mDetail <- unify existing ty' reason ml ctx
+            case mDetail of
+                Just detail -> reportError ml ctx (TypeMismatch ty' existing reason (Just detail))
+                Nothing -> return ()
+
+    -- Check conflicts with ALL compatible indices, including exact match.
+    -- We do this even if an exact match exists to ensure that conflicts
+    -- detected during inference are also reported during the final pass.
+    forM_ (Map.toList bindings) $ \case
+        (FullTemplate n i, (existing, _)) | n == name ->
+            case (index, i) of
+                (Just idx, Just idx')
+                    | compatible idx idx' || compatible idx' idx -> unifyAndReport existing
+                (Nothing, Nothing) -> unifyAndReport existing
+                _ -> return ()
+        _ -> return ()
+
+    -- Now add or update the binding if not already present.
+    let k = FullTemplate name index
+    case Map.lookup k bindings of
+        Just _ -> return ()
+        Nothing ->
+            if occurs name index ty'
+                then return () -- Occur check failed
+                else do
+                    let prov = FromContext (ErrorInfo ml ctx (TypeMismatch (Template name index) ty' reason Nothing) [])
+                    State.modify $ \s -> s { ssBindings = Map.insert k (ty', prov) (ssBindings s) }
+
+occurs :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> Bool
+occurs name index ty = snd $ foldFix alg ty
+  where
+    alg f = (Fix (fmap fst f), (Fix (fmap fst f) == Template name index) || any snd f)
+
+applyBindings :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+applyBindings ty = snd (foldFix alg ty) Set.empty
+  where
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, Set (FullTemplate 'Local) -> Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, Set (FullTemplate 'Local) -> Solver (TypeInfo 'Local))
+    alg f = (Fix (fmap fst f), \seen -> case f of
+        VarF l (_, tAction) -> Var l <$> tAction seen
+        TemplateF (FullTemplate t i) -> do
+            i'' <- maybe (return Nothing) (fmap Just . (\(_, getInner) -> getInner seen)) i
+            let k = FullTemplate t i''
+            if Set.member k seen
+                then return $ Template t i''
+                else do
+                    bindings <- State.gets ssBindings
+                    case Map.lookup k bindings of
+                        Just (target, _) -> applyBindings' (Set.insert k seen) target
+                        Nothing -> case i'' of
+                            Nothing -> return $ Template t Nothing
+                            Just idx -> case Map.lookup (FullTemplate t Nothing) bindings of
+                                Just (baseTarget, _) -> applyBindings' (Set.insert k seen) (indexTemplates idx baseTarget)
+                                Nothing -> return $ Template t i''
+        _ -> Fix <$> traverse (\(_, getInner) -> getInner seen) f)
+
+    applyBindings' seen ty' = snd (foldFix alg ty') seen
+
+resolveType :: TypeInfo 'Local -> Solver (TypeInfo 'Local)
+resolveType ty = resolveTypeWith Set.empty ty
+
+resolveTypeWith :: Set Text -> TypeInfo 'Local -> Solver (TypeInfo 'Local)
+resolveTypeWith seen ty = snd (foldFix alg ty) seen
+  where
+    alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, Set Text -> Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, Set Text -> Solver (TypeInfo 'Local))
+    alg f = (Fix (fmap fst f), \s -> case f of
+        VarF _ (_, tAction) -> tAction s
+        TypeRefF _ (L _ _ tid) _ ->
+            let name = templateIdBaseName tid in
+            if Set.member name s
+            then return $ Fix (fmap fst f)
+            else do
+                ts <- State.gets ssTypeSystem
+                case lookupType name ts of
+                    Just (AliasDescr _ _ target) -> resolveTypeWith (Set.insert name s) (TS.toLocal 0 Nothing target)
+                    _                            -> return $ Fix (fmap fst f)
+        _ -> Fix <$> traverse (\(_, getInner) -> getInner s) f)
+
+getTemplate :: TypeInfo 'Local -> Maybe (FullTemplate 'Local)
+getTemplate = \case
+    Template t i -> Just (FullTemplate t i)
+    _            -> Nothing
+
+compatible :: TypeInfo 'Local -> TypeInfo 'Local -> Bool
+compatible t1 t2 | t1 == t2 = True
+compatible t1 t2 | isNetworkingStruct t1 && isNetworkingStruct t2 = True
+compatible t1 t2 | isLPTSTR t1 && isPointerToChar t2 = True
+compatible t1 t2 | isLPTSTR t2 && isPointerToChar t1 = True
+compatible (Singleton b1 _) (BuiltinType b2) | isInt b1 && isInt b2 = True
+compatible (BuiltinType b1) (Singleton b2 _) | isInt b1 && b2 == b1 = True
+compatible (Singleton b1 v1) (Singleton b2 v2) = b1 == b2 && v1 == v2
+compatible (IntLit (L _ _ v1)) (IntLit (L _ _ v2)) = v1 == v2
+compatible (IntLit (L _ _ v1)) (Singleton _ v2) = (case T.unpack (TS.templateIdBaseName v1) of "" -> False; s -> read s == v2)
+compatible (Singleton _ v1) (IntLit (L _ _ v2)) = (case T.unpack (TS.templateIdBaseName v2) of "" -> False; s -> v1 == read s)
+compatible (IntLit _) (BuiltinType b) = isInt b
+compatible (BuiltinType b) (IntLit _) = isInt b
+compatible (BuiltinType b1) (BuiltinType b2) | isInt b1 && isInt b2 = True
+compatible (Pointer _) (Array _ _) = True
+compatible (Array _ _) (Pointer _) = True
+compatible (BuiltinType NullPtrTy) (Pointer _) = True
+compatible (Pointer _) (BuiltinType NullPtrTy) = True
+compatible (BuiltinType NullPtrTy) (Nullable _) = True
+compatible (Nullable _) (BuiltinType NullPtrTy) = True
+compatible (BuiltinType NullPtrTy) (Owner _) = True
+compatible (Owner _) (BuiltinType NullPtrTy) = True
+compatible (BuiltinType VoidTy) (BuiltinType VoidTy) = True
+
+-- Ignore wrappers on either side for basic compatibility
+compatible (Const t1) t2 = compatible t1 t2
+compatible t1 (Const t2) = compatible t1 t2
+compatible (Owner t1) t2 = compatible t1 t2
+compatible t1 (Owner t2) = compatible t1 t2
+compatible (Nonnull t1) t2 = compatible t1 t2
+compatible t1 (Nonnull t2) = compatible t1 t2
+compatible (Nullable t1) t2 = compatible t1 t2
+compatible t1 (Nullable t2) = compatible t1 t2
+compatible (Sized t1 _) t2 = compatible t1 t2
+compatible t1 (Sized t2 _) = compatible t1 t2
+compatible (Var _ t1) t2 = compatible t1 t2
+compatible t1 (Var _ t2) = compatible t1 t2
+
+compatible _ _ = False
+
+reportError :: Maybe (Lexeme Text) -> [Context 'Local] -> TypeError 'Local -> Solver ()
+reportError ml ctx err = do
+    dtraceM $ "reportError: " ++ show err
+    isFinal <- State.gets ssFinalPass
+    err' <- case err of
+        TypeMismatch expected actual reason mDetail -> do
+            expected' <- resolveType =<< applyBindings expected
+            actual' <- resolveType =<< applyBindings actual
+            return $ TypeMismatch expected' actual' reason mDetail
+        _ -> return err
+    if isFinal
+    then do
+        bindings <- State.gets ssBindings
+        let allTypes = case err of
+                TypeMismatch expected actual _ _ -> expected : actual : concatMap getContextTypes ctx
+                _ -> concatMap getContextTypes ctx
+        let expls = concatMap (P.explainType bindings) allTypes
+        State.modify $ \s -> s { ssErrors = ssErrors s ++ [ErrorInfo ml ctx err' (P.dedupDocs expls)] }
+    else
+        State.modify $ \s -> s { ssErrors = ssErrors s ++ [ErrorInfo ml ctx err' []] }
+  where
+    getContextTypes = \case
+        InUnification e a _ -> [e, a]
+        _ -> []
+
+checkCallable :: TypeInfo 'Local -> [TypeInfo 'Local] -> Maybe (Lexeme Text) -> [Context 'Local] -> Maybe Integer -> Bool -> Solver ()
+checkCallable t args ml ctx mCsId shouldRefresh = do
+    rt <- resolveType =<< applyBindings t
+    -- Refresh templates for all callables to allow polymorphism
+    rt' <- if shouldRefresh
+               then refreshTemplates mCsId rt
+               else return rt
+    -- Also de-voidify the resolved type recursively
+    rt'' <- deVoidify rt'
+    case resolveType' rt'' of
+        Function ret params -> handleFunction ret params rt''
+        Pointer (Function ret params) -> handleFunction ret params rt''
+        TypeRef FuncRef (L _ _ tid) tps -> handleFuncRef tid tps rt''
+        Pointer (TypeRef FuncRef (L _ _ tid) tps) -> handleFuncRef tid tps rt''
+        Template tid i -> do
+            -- Proactively bind the template to a function type based on how it's being called.
+            -- Deterministic template names based on csId ensure monotonicity.
+            bindings <- State.gets ssBindings
+            case mCsId of
+                Just csId -> do
+                    let retTid = TIdInst csId (TIdName "ret")
+                    case Map.lookup (FullTemplate tid i) bindings of
+                        Just (Fix (FunctionF _ _), _) -> return ()
+                        _ -> bind tid i (Function (Template retTid Nothing) args) GeneralMismatch ml ctx
+                Nothing -> return () -- Cannot proactively bind without stable ID
+        BuiltinType VoidTy -> return () -- Safe fallback for incomplete inference
+        BuiltinType NullPtrTy -> return ()
+        _ -> reportError ml ctx (CallingNonFunction "expression" rt)
+  where
+    deVoidify = snd . foldFix alg
+      where
+        alg :: TypeInfoF (TemplateId 'Local) (TypeInfo 'Local, Solver (TypeInfo 'Local)) -> (TypeInfo 'Local, Solver (TypeInfo 'Local))
+        alg f = (Fix (fmap fst f), case f of
+            PointerF (orig, _) | TS.isVoid orig -> do
+                tp <- nextTemplate Nothing
+                let applyWrappers (BuiltinType VoidTy) x = x
+                    applyWrappers (Const t') x = Const (applyWrappers t' x)
+                    applyWrappers (Owner t') x = Owner (applyWrappers t' x)
+                    applyWrappers (Nonnull t') x = Nonnull (applyWrappers t' x)
+                    applyWrappers (Nullable t') x = Nullable (applyWrappers t' x)
+                    applyWrappers (Var l t') x = Var l (applyWrappers t' x)
+                    applyWrappers (Sized t' l) x = Sized (applyWrappers t' x) l
+                    applyWrappers _ x = x
+                return $ Pointer (applyWrappers orig tp)
+            _ -> Fix <$> traverse snd f)
+
+    handleFunction _ret params _rt' = do
+        let expCount = length (filter (not . isSpecial) params)
+        let actualParams = filter (not . isSpecial) params
+        let actCount = length args
+        if actCount < expCount
+            then reportError ml ctx (TooFewArgs expCount actCount)
+            else if actCount > expCount && not (any isVarArg params)
+                then reportError ml ctx (TooManyArgs expCount actCount)
+                else do
+                    -- Check argument types
+                    forM_ (zip [0..] (zip args actualParams)) $ \(i, (p_act, p_exp)) -> do
+                        mDetail <- subtype p_act p_exp (ArgumentMismatch i) ml ctx
+                        case mDetail of
+                            Just detail -> reportError ml ctx (TypeMismatch p_exp p_act (ArgumentMismatch i) (Just detail))
+                            Nothing -> return ()
+
+    handleFuncRef tid tps rt = do
+        let name = templateIdBaseName tid
+        ts <- State.gets ssTypeSystem
+        case lookupType name ts of
+            Just descr@(FuncDescr _ _ _ _) -> do
+                case instantiateDescr 0 Nothing (Map.fromList (zip (getDescrTemplates descr) tps)) descr of
+                    FuncDescr _ _ ret params -> handleFunction ret params rt
+                    _                        -> error "impossible"
+            _ -> reportError ml ctx (CallingNonFunction (templateIdBaseName tid) rt)
+
+checkMemberAccess :: TypeInfo 'Local -> Text -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Solver ()
+checkMemberAccess t field mt reason ml ctx = do
+    rt <- resolveType =<< applyBindings t
+    ts <- State.gets ssTypeSystem
+    dtraceM $ "checkMemberAccess: t=" ++ show t ++ " (resolved=" ++ show rt ++ ") field=" ++ T.unpack field ++ " mt=" ++ show mt
+    let go rt' = case resolveType' rt' of
+            Pointer inner -> go inner
+            TypeRef _ (L _ _ tid) args ->
+                let name = TS.templateIdBaseName tid in
+                case lookupType name ts of
+                    Just descr ->
+                        let descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) args)) descr
+                        in dtraceM ("  found descr for " ++ T.unpack name ++ ": " ++ show descr') >> case descr' of
+                            StructDescr _ _ members -> findMember members
+                            UnionDescr  _ _ members -> findMember members
+                            _                       -> return ()
+                    _ -> return ()
+            _ -> return ()
+    go rt
+  where
+    findMember members =
+        case filter (\(l, _) -> C.lexemeText l == field) members of
+            ((_, mty):_) -> do
+                dtraceM ("  unifying mty=" ++ show mty ++ " with mt=" ++ show mt)
+                mDetail <- unify mty mt reason Nothing []
+                case mDetail of
+                    Just detail -> reportError ml ctx (TypeMismatch mt mty reason (Just detail))
+                    Nothing -> return ()
+            [] -> reportError ml ctx (CustomError $ "member '" <> field <> "' not found")
diff --git a/src/Language/Cimple/Analysis/TypeSystem.hs b/src/Language/Cimple/Analysis/TypeSystem.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem.hs
@@ -0,0 +1,933 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE DeriveGeneric       #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE StrictData          #-}
+{-# LANGUAGE TupleSections       #-}
+module Language.Cimple.Analysis.TypeSystem
+    ( module Language.Cimple.Analysis.TypeSystem.Types
+    , getTypeRefName
+    , lookupType
+    , insert
+    , foldArray
+    , vars
+    , builtin
+    , getTemplates
+    , getTemplateVars
+    , collectTemplates
+    , collectTemplateVars
+    , collectUniqueTemplateVars
+    , collectTypes
+    , collect
+    , normalizeDescr
+    , resolve
+    , isVoid
+    , deVoidify
+    , toLocal
+    , toGlobal
+    , renameStateful
+    , renameTemplates
+    , instantiateDescr
+    , instantiate
+    , getDescrTemplates
+    , getDescrLexeme
+    , mkId
+    , resolveRef
+    , resolveRefLocal
+    , indexTemplates
+    , isInt
+    , unwrap
+    , stripAllWrappers
+    , isPointerLike
+    , getInnerType
+    , promoteNonnull
+    , lookupMemberType
+    , descrToTypeInfo
+    , isVarArg
+    , isSpecial
+    , promote
+    , containsTemplate
+    , isGeneric
+    , isSockaddr
+    , isSockaddrIn
+    , isSockaddrIn6
+    , isSockaddrStorage
+    , isNetworkingStruct
+    , isAnyStruct
+    , getTypeLexeme
+    , resolveType'
+    , isLPTSTR
+    , isPointerToChar
+    ) where
+
+import           Control.Applicative                       ((<|>))
+
+import           Control.Arrow                             (second)
+import           Data.Bifunctor                            (bimap)
+
+import           Control.Monad                             (forM_)
+import           Control.Monad.State.Strict                (State)
+import qualified Control.Monad.State.Strict                as State
+import           Data.Fix                                  (Fix (..), foldFix,
+                                                            foldFixM)
+import           Data.Foldable                             (fold, toList)
+import           Data.List                                 (foldl')
+import           Data.Map.Strict                           (Map)
+
+import qualified Data.Graph                                as Graph
+import qualified Data.Map.Strict                           as Map
+import           Data.Maybe                                (fromMaybe)
+import           Data.Set                                  (Set)
+import qualified Data.Set                                  as Set
+import           Data.Text                                 (Text)
+import qualified Data.Text                                 as Text
+import qualified Debug.Trace                               as Debug
+import           Language.Cimple                           (Lexeme (..),
+                                                            LiteralType (..),
+                                                            Node, NodeF (..),
+                                                            lexemeText)
+import qualified Language.Cimple                           as C
+import           Language.Cimple.Analysis.Builtins         (builtins)
+import           Language.Cimple.Analysis.TypeSystem.Types (ArbitraryTemplateId (..),
+                                                            pattern Array,
+                                                            pattern BuiltinType,
+                                                            pattern Conflict,
+                                                            pattern Const,
+                                                            pattern EnumMem,
+                                                            pattern ExternalType,
+                                                            FlatType (..),
+                                                            FullTemplate,
+                                                            pattern FullTemplate,
+                                                            FullTemplateF (..),
+                                                            pattern Function,
+                                                            pattern IntLit,
+                                                            pattern NameLit,
+                                                            pattern Nonnull,
+                                                            pattern Nullable,
+                                                            pattern Owner,
+                                                            Phase (..),
+                                                            pattern Pointer,
+                                                            pattern Proxy,
+                                                            pattern Qualified,
+                                                            Qualifier (..),
+                                                            pattern Singleton,
+                                                            pattern Sized,
+                                                            StdType (..),
+                                                            pattern Template,
+                                                            TemplateId (..),
+                                                            TypeDescr (..),
+                                                            TypeInfo,
+                                                            TypeInfoF (..),
+                                                            TypeRef (..),
+                                                            pattern TypeRef,
+                                                            TypeSystem,
+                                                            pattern Unconstrained,
+                                                            pattern Unsupported,
+                                                            pattern Var,
+                                                            pattern VarArg,
+                                                            fromFlat,
+                                                            isConflict,
+                                                            isUnconstrained,
+                                                            normalizeQuals,
+                                                            normalizeType,
+                                                            stripLexemes,
+                                                            templateIdBaseName,
+                                                            templateIdHint,
+                                                            templateIdToText,
+                                                            toFlat,
+                                                            voidFullTemplate,
+                                                            zipWithF)
+
+
+
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg = if debugging then Debug.trace msg else id
+
+
+getTypeRefName :: TypeInfo p -> Maybe (TemplateId p)
+getTypeRefName = foldFix $ \case
+    TypeRefF _ (L _ _ tid) _ -> Just tid
+    PointerF tid                -> tid
+    QualifiedF _ tid            -> tid
+    _                         -> Nothing
+
+
+lookupType :: Text -> TypeSystem -> Maybe (TypeDescr 'Global)
+lookupType name ts =
+    let res = go Set.empty name
+    in dtrace ("lookupType " ++ Text.unpack name ++ " -> " ++ show (fmap getDescrLexeme res)) res
+  where
+    p = C.AlexPn 0 0 0
+    go visited n
+        | Set.member n visited = Nothing
+        | otherwise =
+            case Map.lookup n ts <|> Map.lookup n builtins of
+                Just (AliasDescr _ _ target) ->
+                    case getTypeRefName target of
+                        Just tid -> go (Set.insert n visited) (templateIdBaseName tid)
+                        Nothing   -> case target of
+                            TypeRef StructRef (L _ _ (TIdName "")) _ -> Map.lookup "" ts
+                            TypeRef UnionRef  (L _ _ (TIdName "")) _ -> Map.lookup "" ts
+                            _ -> Just (AliasDescr (L p C.IdVar n) [] target)
+                Nothing -> Nothing
+                res -> res
+
+insert :: Lexeme Text -> TypeDescr 'Global -> State TypeSystem [TypeInfo 'Global]
+insert name ty = do
+    let nameText = lexemeText name
+    existing <- State.gets (Map.lookup nameText)
+    case (ty, existing) of
+        -- If we have a typedef that points to a struct/union/enum of the same name,
+        -- and we already have the definition, ignore the typedef.
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just StructDescr{}) | templateIdBaseName tid == nameText ->
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just UnionDescr{})  | templateIdBaseName tid == nameText ->
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+        (AliasDescr _ _ (TypeRef _ (L _ _ tid) _), Just EnumDescr{})   | templateIdBaseName tid == nameText ->
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+
+        -- If we are adding a definition and we have a typedef of the same name
+        -- that points to this name, overwrite it.
+        (StructDescr{}, Just (AliasDescr _ _ (TypeRef _ (L _ _ tid) _))) | templateIdBaseName tid == nameText -> do
+            State.modify $ Map.insert nameText ty
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+        (UnionDescr{}, Just (AliasDescr _ _ (TypeRef _ (L _ _ tid) _)))  | templateIdBaseName tid == nameText -> do
+            State.modify $ Map.insert nameText ty
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+
+        -- Merge struct/union definitions, keeping the one with members.
+        (StructDescr _ _ mems, Just (StructDescr _ _ existingMems)) -> do
+            if null existingMems && not (null mems)
+                then State.modify $ Map.insert nameText ty
+                else return ()
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+        (UnionDescr _ _ mems, Just (UnionDescr _ _ existingMems)) -> do
+            if null existingMems && not (null mems)
+                then State.modify $ Map.insert nameText ty
+                else return ()
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+
+        _ -> do
+            State.modify $ Map.insert nameText ty
+            return [TypeRef UnresolvedRef (fmap TIdName name) []]
+
+foldArray :: Lexeme Text -> [[TypeInfo 'Global]] -> TypeInfo 'Global -> TypeInfo 'Global
+foldArray name arrs baseTy = Var (fmap TIdName name) (merge baseTy (concat arrs))
+  where
+    merge ty (Array Nothing dims:xs) = merge (Array (Just ty) dims) xs
+    merge ty []                      = ty
+    merge ty xs                      = error (show (ty, xs))
+
+
+vars :: [[TypeInfo 'Global]] -> [(Lexeme Text, TypeInfo 'Global)]
+vars = map (\(ln, ty) -> (fmap templateIdBaseName ln, ty)) . joinSizer . map go . concat
+  where
+    go (Var name ty) = (name, ty)
+    go x             = error $ show x
+
+    joinSizer (d@(dn@(L _ _ dnameTid), dty@Array{}):s@(sn@(L _ _ snameTid), BuiltinType U32Ty):xs)
+        | let dname = templateIdBaseName dnameTid
+        , let sname = templateIdBaseName snameTid
+        , sname `elem` [dname <> "_length", dname <> "_size"] =
+            (dn, Sized dty sn) : joinSizer xs
+        | otherwise = d : joinSizer (s:xs)
+    joinSizer (d@(dn@(L _ _ dnameTid), dty@Pointer{}):s@(sn@(L _ _ snameTid), BuiltinType U32Ty):xs)
+        | let dname = templateIdBaseName dnameTid
+        , let sname = templateIdBaseName snameTid
+        , sname `elem` [dname <> "_length", dname <> "_size"] =
+            (dn, Sized dty sn) : joinSizer xs
+        | otherwise = d : joinSizer (s:xs)
+    joinSizer (d@(dn@(L _ _ dnameTid), dty@(Owner Pointer{})):s@(sn@(L _ _ snameTid), BuiltinType U32Ty):xs)
+        | let dname = templateIdBaseName dnameTid
+        , let sname = templateIdBaseName snameTid
+        , sname `elem` [dname <> "_length", dname <> "_size"] =
+            (dn, Sized dty sn) : joinSizer xs
+        | otherwise = d : joinSizer (s:xs)
+    joinSizer (d@(dn@(L _ _ dnameTid), dty@(Nonnull Pointer{})):s@(sn@(L _ _ snameTid), BuiltinType U32Ty):xs)
+        | let dname = templateIdBaseName dnameTid
+        , let sname = templateIdBaseName snameTid
+        , sname `elem` [dname <> "_length", dname <> "_size"] =
+            (dn, Sized dty sn) : joinSizer xs
+        | otherwise = d : joinSizer (s:xs)
+    joinSizer (d@(dn@(L _ _ dnameTid), dty@(Nullable Pointer{})):s@(sn@(L _ _ snameTid), BuiltinType U32Ty):xs)
+        | let dname = templateIdBaseName dnameTid
+        , let sname = templateIdBaseName snameTid
+        , sname `elem` [dname <> "_length", dname <> "_size"] =
+            (dn, Sized dty sn) : joinSizer xs
+        | otherwise = d : joinSizer (s:xs)
+    joinSizer (x:xs) = x:joinSizer xs
+    joinSizer []     = []
+
+
+builtin :: Lexeme Text -> TypeInfo 'Global
+builtin (L _ _              "char")  = BuiltinType CharTy
+builtin (L _ _           "uint8_t")  = BuiltinType U08Ty
+builtin (L _ _            "int8_t")  = BuiltinType S08Ty
+builtin (L _ _          "uint16_t")  = BuiltinType U16Ty
+builtin (L _ _           "int16_t")  = BuiltinType S16Ty
+builtin (L _ _          "uint32_t")  = BuiltinType U32Ty
+builtin (L _ _           "int32_t")  = BuiltinType S32Ty
+builtin (L _ _          "uint64_t")  = BuiltinType U64Ty
+builtin (L _ _           "int64_t")  = BuiltinType S64Ty
+builtin (L _ _            "size_t")  = BuiltinType SizeTy
+builtin (L _ _         "ssize_t")    = BuiltinType S64Ty
+builtin (L _ _         "socklen_t")  = BuiltinType U32Ty
+builtin (L _ _         "in_addr_t")  = BuiltinType U32Ty
+builtin (L _ _         "in_port_t")  = BuiltinType U16Ty
+builtin (L _ _       "sa_family_t")  = BuiltinType U16Ty
+builtin (L _ _             "DWORD")  = BuiltinType U32Ty
+builtin (L _ _            "LPDWORD") = Pointer (BuiltinType U32Ty)
+builtin (L _ _              "WORD")  = BuiltinType U16Ty
+builtin (L _ _              "BYTE")  = BuiltinType U08Ty
+builtin (L _ _               "INT")  = BuiltinType S32Ty
+builtin (L _ _             "LPINT")  = Pointer (BuiltinType S32Ty)
+builtin (L _ _            "u_long")  = BuiltinType U32Ty
+builtin (L _ _             "LPSTR")  = Pointer (BuiltinType CharTy)
+builtin (L _ _            "LPCSTR")  = Pointer (Const (BuiltinType CharTy))
+builtin (L p t          "LPTSTR")  = TypeRef UnresolvedRef (L p t (TIdName "LPTSTR")) []
+builtin (L p t          "LPSOCKADDR") = Pointer (TypeRef StructRef (L p t (TIdName "sockaddr")) [])
+builtin (L _ _              "void")  = BuiltinType VoidTy
+builtin (L _ _              "bool")  = BuiltinType BoolTy
+builtin (L _ _             "float")  = BuiltinType F32Ty
+builtin (L _ _            "double")  = BuiltinType F64Ty
+
+builtin (L _ _               "int")  = BuiltinType S32Ty
+builtin (L _ _              "long")  = BuiltinType S64Ty
+builtin (L _ _     "unsigned long")  = BuiltinType U64Ty
+builtin (L _ _      "unsigned int")  = BuiltinType U32Ty
+builtin (L _ _          "unsigned")  = BuiltinType U32Ty
+builtin (L _ _   "long signed int")  = BuiltinType S64Ty
+builtin (L _ _ "long unsigned int")  = BuiltinType U64Ty
+
+builtin (L p t "OpusEncoder")      = ExternalType (L p t (TIdName "OpusEncoder"))
+builtin (L p t "OpusDecoder")      = ExternalType (L p t (TIdName "OpusDecoder"))
+builtin (L p t "cmp_ctx_t")        = ExternalType (L p t (TIdName "cmp_ctx_t"))
+builtin (L p t "pthread_mutex_t")     = ExternalType (L p t (TIdName "pthread_mutex_t"))
+builtin (L p t "pthread_mutexattr_t") = ExternalType (L p t (TIdName "pthread_mutexattr_t"))
+builtin (L p t "pthread_rwlock_t")    = ExternalType (L p t (TIdName "pthread_rwlock_t"))
+builtin (L p t "pthread_rwlockattr_t") = ExternalType (L p t (TIdName "pthread_rwlockattr_t"))
+builtin (L p t "vpx_codec_ctx_t")     = ExternalType (L p t (TIdName "vpx_codec_ctx_t"))
+builtin (L p t "va_list")          = ExternalType (L p t (TIdName "va_list"))
+
+builtin (L p t name)               = TypeRef UnresolvedRef (L p t (TIdName name)) []
+
+
+getTemplateVars :: TypeInfo p -> [FullTemplate p]
+getTemplateVars ty =
+    let res = snd (foldFix alg ty) (TIdAnonymous (Just "")) Set.empty []
+    in dtrace ("getTemplateVars " ++ show ty ++ " -> " ++ show res) res
+  where
+    alg :: TypeInfoF (TemplateId p) (TypeInfo p, TemplateId p -> Set (FullTemplate p) -> [FullTemplate p] -> [FullTemplate p]) -> (TypeInfo p, TemplateId p -> Set (FullTemplate p) -> [FullTemplate p] -> [FullTemplate p])
+    alg f = (Fix (fmap fst f), \hint visited -> dtrace ("alg " ++ show (templateIdBaseName hint) ++ " " ++ show (fmap fst f)) $ case f of
+        VarF l (_, getInner) -> getInner (TIdAnonymous (Just (templateIdBaseName (lexemeText l)))) visited
+        TemplateF (FullTemplate t i) ->
+            let i' = fmap fst i
+                k = FullTemplate t i'
+            in if Set.member k visited
+            then id
+            else let v' = Set.insert k visited
+                 in (k:) . maybe id (\(_, getInner) -> getInner hint v') i
+        PointerF (orig, getInner) | isVoid orig ->
+            let tid = TIdAnonymous (templateIdHint hint)
+            in (FullTemplate tid Nothing:) . getInner hint visited
+        _ -> foldr (.) id (map (\(_, getInner) -> getInner hint visited) (toList f)))
+
+collectUniqueTemplateVars :: [TypeInfo p] -> [FullTemplate p]
+collectUniqueTemplateVars tys =
+    let templates = concatMap getTemplateVars tys
+        -- Uniquify while preserving order.
+        (_, uniqueRaw) = foldl' collectUnique (Set.empty, []) templates
+        collectUnique (seen, acc) t =
+            if Set.member t seen
+            then (seen, acc)
+            else (Set.insert t seen, acc ++ [t])
+    in uniqueRaw
+
+collectTemplateVars :: [TypeInfo 'Global] -> [FullTemplate 'Global]
+collectTemplateVars tys =
+    let uniqueRaw = collectUniqueTemplateVars tys
+        mkTid i t = TIdParam i (templateIdHint $ ftId t)
+    in [ FullTemplate (mkTid i t) Nothing | (i, t) <- zip [(0::Int)..] uniqueRaw ]
+
+normalizeDescr :: [TypeInfo 'Global] -> ([TypeInfo 'Global], [TemplateId 'Global])
+normalizeDescr tys =
+    let vt = collectTemplateVars tys
+        ts = map ftId vt
+        tys' = State.evalState (mapM renameStateful tys) (Map.empty, vt)
+    in (tys', ts)
+
+normalizeMems :: [(Lexeme Text, TypeInfo 'Global)] -> ([(Lexeme Text, TypeInfo 'Global)], [TemplateId 'Global])
+normalizeMems mems =
+    let (tys', ts) = normalizeDescr [ Var (fmap TIdName l) ty | (l, ty) <- mems ]
+        unVar (Var _ t) = t
+        unVar t         = t
+        mems' = zip (map fst mems) (map unVar tys')
+    in (mems', ts)
+
+getTemplates :: TypeInfo p -> [TemplateId p]
+getTemplates ty = map ftId $ getTemplateVars ty
+
+collectTemplates :: [TypeInfo p] -> [TemplateId p]
+collectTemplates tys = map ftId $ collectTemplateVars' tys
+  where
+    collectTemplateVars' :: [TypeInfo p] -> [FullTemplate p]
+    collectTemplateVars' ts =
+        let uniqueRaw = collectUniqueTemplateVars ts
+        in [ FullTemplate (ftId t) Nothing | t <- uniqueRaw ]
+
+collectTypes :: NodeF (Lexeme Text) [TypeInfo 'Global] -> State TypeSystem [TypeInfo 'Global]
+collectTypes node = case node of
+    LiteralExpr ConstId name     -> return [NameLit (fmap TIdName name)]
+    LiteralExpr Int lit          -> return [IntLit (fmap TIdName lit)]
+
+    DeclSpecArray _ Nothing        -> return []
+    DeclSpecArray _ (Just arr)     -> return [Array Nothing arr]
+    CallbackDecl ty name         -> return [Var (fmap TIdName name) (TypeRef FuncRef (fmap TIdName ty) [])]
+    VarDecl ty name []           -> return $ map (Var (fmap TIdName name)) ty
+    VarDecl ty name arrs         -> return $ map (foldArray name arrs) ty
+    MemberDecl l _               -> return l
+    Struct dcl mems              -> aggregate (\l m -> let (m', ts) = normalizeMems m in StructDescr l ts m') dcl mems
+    Union  dcl mems              -> aggregate (\l m -> let (m', ts) = normalizeMems m in UnionDescr  l ts m') dcl mems
+
+    Enumerator name _            -> return [EnumMem (fmap TIdName name)]
+    EnumConsts (Just dcl) mems   -> enum dcl mems
+    EnumDecl dcl mems _          -> enum dcl mems
+    Typedef [BuiltinType ty] dcl -> insert dcl (AliasDescr dcl [] (BuiltinType ty))
+    Typedef [ty] dcl             -> case normalizeDescr [ty] of
+                                      ([ty'], ts) -> insert dcl (AliasDescr dcl ts ty')
+                                      _ -> error "normalizeDescr returned empty list"
+
+    FunctionPrototype ty name params -> return [Var (fmap TIdName name) (Function t (concat params)) | t <- ty]
+    TypedefFunction a -> do
+        forM_ a $ \case
+            Var name (Function ret params) -> do
+                let nameTid = lexemeText name
+                let nameText = case nameTid of TIdName n -> n; _ -> ""
+                case normalizeDescr (ret:params) of
+                    (ret':params', templates) -> do
+                        dtrace ("TypeSystem TypedefFunction: " ++ Text.unpack nameText ++ " templates=" ++ show templates) $
+                          State.modify $ Map.insert nameText (FuncDescr (fmap (const nameText) name) templates ret' params')
+                    _ -> error "normalizeDescr returned empty list"
+            _ -> return ()
+        return a
+
+    TyUserDefined name           -> return [TypeRef UnresolvedRef (fmap TIdName name) []]
+    TyStruct name                -> return [TypeRef StructRef (fmap TIdName name) []]
+    TyUnion name                 -> return [TypeRef UnionRef (fmap TIdName name) []]
+    TyFunc name                  -> return [TypeRef FuncRef (fmap TIdName name) []]
+    TyPointer ns                 -> return $ map (Pointer . deVoidify) ns
+    TyConst ns                   -> return $ map Const ns
+    TyOwner ns                   -> return $ map Owner ns
+    TyNonnull ns                 -> return $ map Nonnull ns
+    TyNullable ns                -> return $ map Nullable ns
+
+    TyStd name                   -> return [builtin name]
+
+    Ellipsis                     -> return [VarArg]
+
+    FunctionDecl _ vars' -> do
+        dtrace ("TypeSystem FunctionDecl: " ++ show vars') $ case vars' of
+            [Var name (Function ret params)] -> do
+                let nameText = case lexemeText name of TIdName n -> n; _ -> ""
+                case normalizeDescr (ret:params) of
+                    (ret':params', templates) ->
+                        State.modify $ Map.insert nameText (FuncDescr (fmap (const nameText) name) templates ret' params')
+                    _ -> error "normalizeDescr returned empty list"
+            _ -> return ()
+        return []
+    FunctionDefn _ vars' _ -> do
+        dtrace ("TypeSystem FunctionDefn: " ++ show vars') $ case vars' of
+            [Var name (Function ret params)] -> do
+                let nameText = case lexemeText name of TIdName n -> n; _ -> ""
+                case normalizeDescr (ret:params) of
+                    (ret':params', templates) ->
+                        State.modify $ Map.insert nameText (FuncDescr (fmap (const nameText) name) templates ret' params')
+                    _ -> error "normalizeDescr returned empty list"
+            _ -> return ()
+        return []
+
+    PreprocDefineConst name _ -> do
+        State.modify $ Map.insert (lexemeText name) (AliasDescr (fmap (const $ lexemeText name) name) [] (BuiltinType S32Ty))
+        return []
+
+    PreprocDefine name -> do
+        State.modify $ Map.insert (lexemeText name) (AliasDescr (fmap (const $ lexemeText name) name) [] (BuiltinType S32Ty))
+        return []
+
+    ConstDefn _ [ty] name _ -> return [Var (fmap TIdName name) ty]
+
+    -- The rest just collects all the types it sees.
+    n                            -> return $ concat n
+
+  where
+    aggregate cons dcl mems = insert dcl (cons dcl (vars mems))
+    enum dcl mems = insert dcl (EnumDescr dcl (concat mems))
+
+
+collect :: [(FilePath, [Node (Lexeme Text)])] -> TypeSystem
+collect programList =
+    resolve . flip State.execState Map.empty . mapM_ (mapM_ (foldFixM collectTypes) . snd) $ programList
+
+
+getDeps :: TypeDescr 'Global -> [Text]
+getDeps = \case
+    StructDescr _ _ mems -> concatMap (getFreeRefs . snd) mems
+    UnionDescr _ _ mems -> concatMap (getFreeRefs . snd) mems
+    EnumDescr _ mems -> concatMap getFreeRefs mems
+    FuncDescr _ _ ret ps -> getFreeRefs ret ++ concatMap getFreeRefs ps
+    AliasDescr _ _ ty -> getFreeRefs ty
+    _ -> []
+  where
+    getFreeRefs = foldFix $ \case
+        TypeRefF _ (L _ _ tid) args -> templateIdBaseName tid : concat args
+        f -> fold f
+
+resolve :: TypeSystem -> TypeSystem
+resolve tys =
+    let -- Step 1: Build dependency graph
+        edges = [ (name, name, getDeps descr) | (name, descr) <- Map.toList tys ]
+        sccs = Graph.stronglyConnComp edges
+
+        -- Step 2: Process SCCs in topological order (Graph.stronglyConnComp returns them leaves-first)
+        finalTys = foldl' resolveScc tys sccs
+    in finalTys
+  where
+    resolveScc acc (Graph.AcyclicSCC name) =
+        case Map.lookup name acc of
+            Just descr ->
+                let seen = Set.singleton name
+                    descr' = resolveRefs seen acc descr
+                    descr'' = reCollect' seen acc descr'
+                in Map.insert name descr'' acc
+            Nothing -> acc
+    resolveScc acc (Graph.CyclicSCC names) =
+        -- For cyclic SCCs, we need at most two passes to stabilize signatures,
+        -- but since C doesn't allow recursive aliases, it's usually stable in one.
+        -- We run it twice to be absolutely sure of normalization stability.
+        let seen = Set.fromList names
+            acc' = foldl' (resolveInMap (resolveRefs seen)) acc names
+            acc'' = foldl' (resolveInMap (reCollect' seen)) acc' names
+        in acc''
+
+    resolveInMap f m name =
+        case Map.lookup name m of
+            Just descr -> Map.insert name (f m descr) m
+            Nothing    -> m
+
+    resolveRefs seen currentTys = \case
+        StructDescr dcl ts mems -> StructDescr dcl ts (map (second (resolveRefWith seen currentTys)) mems)
+        UnionDescr dcl ts mems -> UnionDescr dcl ts (map (second (resolveRefWith seen currentTys)) mems)
+        FuncDescr dcl ts ret params -> FuncDescr dcl ts (resolveRefWith seen currentTys ret) (map (resolveRefWith seen currentTys) params)
+        AliasDescr dcl ts ty' -> AliasDescr dcl ts (resolveRefWith seen currentTys ty')
+        ty -> ty
+
+    reCollect' seen currentTys = \case
+        StructDescr dcl _ mems ->
+            let mems' = map (second (resolveRefWith seen currentTys)) mems
+                (mems'', ts) = normalizeMems mems'
+            in StructDescr dcl ts mems''
+        UnionDescr dcl _ mems ->
+            let mems' = map (second (resolveRefWith seen currentTys)) mems
+                (mems'', ts) = normalizeMems mems'
+            in UnionDescr dcl ts mems''
+        FuncDescr dcl _ ret params ->
+            let ret' = resolveRefWith seen currentTys ret
+                params' = map (resolveRefWith seen currentTys) params
+            in case normalizeDescr (ret':params') of
+                (ret'':params'', ts) ->
+                    FuncDescr dcl ts ret'' params''
+                _ -> error "normalizeDescr returned empty list"
+        AliasDescr dcl _ ty' ->
+            let ty'' = resolveRefWith seen currentTys ty'
+            in case normalizeDescr [ty''] of
+                ([ty'''], ts) ->
+                    AliasDescr dcl ts ty'''
+                _ -> error "normalizeDescr returned empty list"
+        ty -> ty
+
+isVoid :: TypeInfo p -> Bool
+isVoid = foldFix $ \case
+    BuiltinTypeF VoidTy -> True
+    QualifiedF _ t      -> t
+    VarF _ t            -> t
+    SizedF t _          -> t
+    _                   -> False
+
+deVoidify :: TypeInfo p -> TypeInfo p
+deVoidify = id
+
+renameStateful :: TypeInfo p -> State (Map (FullTemplate p) (TypeInfo p), [FullTemplate p]) (TypeInfo p)
+renameStateful = foldFix alg
+  where
+    alg :: TypeInfoF (TemplateId p) (State (Map (FullTemplate p) (TypeInfo p), [FullTemplate p]) (TypeInfo p)) -> State (Map (FullTemplate p) (TypeInfo p), [FullTemplate p]) (TypeInfo p)
+    alg f = do
+        f' <- sequence f
+        case f' of
+            TemplateF (FullTemplate t i) -> do
+                (m, vs) <- State.get
+                let k = FullTemplate t i
+                case Map.lookup k m of
+                    Just t' -> return t'
+                    Nothing -> case vs of
+                        (t_new:vs') -> do
+                            let res = Template (ftId t_new) (ftIndex t_new)
+                            State.put (Map.insert k res m, vs')
+                            return res
+                        [] -> return $ Template (TIdAnonymous (Just "UNKNOWN")) i
+            PointerF t | isVoid t -> do
+                (_, vs) <- State.get
+                case vs of
+                    (t_new:vs') -> do
+                        State.modify $ \(m, _) -> (m, vs')
+                        let applyWrappers (BuiltinType VoidTy) x = x
+                            applyWrappers (Const t'') x = Const (applyWrappers t'' x)
+                            applyWrappers (Owner t'') x = Owner (applyWrappers t'' x)
+                            applyWrappers (Nonnull t'') x = Nonnull (applyWrappers t'' x)
+                            applyWrappers (Nullable t'') x = Nullable (applyWrappers t'' x)
+                            applyWrappers (Var l t'') x = Var l (applyWrappers t'' x)
+                            applyWrappers (Sized t'' l) x = Sized (applyWrappers t'' x) l
+                            applyWrappers _ x = x
+                        return $ Pointer (applyWrappers t (Template (ftId t_new) (ftIndex t_new)))
+                    [] -> return $ Fix f'
+            _ -> return $ Fix f'
+
+renameTemplates :: Map (TemplateId 'Global) (TypeInfo 'Global) -> TypeInfo 'Global -> TypeInfo 'Global
+renameTemplates m = foldFix $ \case
+    TemplateF (FullTemplate t i) ->
+        Map.findWithDefault (Template t i) t m
+    PointerF (BuiltinType VoidTy) -> Map.findWithDefault (Pointer (BuiltinType VoidTy)) (TIdName "T") m
+    f -> Fix f
+
+getDescrTemplates :: TypeDescr p -> [TemplateId p]
+getDescrTemplates = \case
+    StructDescr _ ts _   -> ts
+    UnionDescr  _ ts _   -> ts
+    FuncDescr   _ ts _ _ -> ts
+    AliasDescr  _ ts _   -> ts
+    _                    -> []
+
+
+instantiateDescr :: Integer -> Maybe Text -> Map (TemplateId 'Global) (TypeInfo 'Local) -> TypeDescr 'Global -> TypeDescr 'Local
+instantiateDescr ph parent m descr =
+    case descr of
+        StructDescr l _ mems ->
+            StructDescr l [] (map (second (instantiate ph parent m)) mems)
+        UnionDescr l _ mems ->
+            UnionDescr l [] (map (second (instantiate ph parent m)) mems)
+        FuncDescr l _ ret ps ->
+            FuncDescr l [] (instantiate ph parent m ret) (map (instantiate ph parent m) ps)
+        AliasDescr l _ ty ->
+            AliasDescr l [] (instantiate ph parent m ty)
+        IntDescr l std -> IntDescr l std
+        EnumDescr l mems -> EnumDescr l (map (instantiate ph parent m) mems)
+
+instantiate :: Integer -> Maybe Text -> Map (TemplateId 'Global) (TypeInfo 'Local) -> TypeInfo 'Global -> TypeInfo 'Local
+instantiate ph parent m = foldFix alg
+  where
+    alg f = case f of
+        TemplateF (FullTemplate t _) ->
+            case Map.lookup t m of
+                Just res -> res
+                Nothing  -> Fix (bimap convert id f)
+        _ -> Fix (bimap convert id f)
+
+    convert :: TemplateId 'Global -> TemplateId 'Local
+    convert (TIdName n)      = TIdAnonymous (Just n)
+    convert (TIdParam i h)   = TIdPoly ph i h parent
+    convert (TIdAnonymous h) = TIdAnonymous h
+    convert (TIdRec i)       = TIdRec i
+
+instantiateGlobal :: Map (TemplateId 'Global) (TypeInfo 'Global) -> TypeInfo 'Global -> TypeInfo 'Global
+instantiateGlobal m = foldFix alg
+  where
+    alg f = case f of
+        TemplateF (FullTemplate t _) ->
+            case Map.lookup t m of
+                Just res -> res
+                Nothing  -> Fix f
+        _ -> Fix f
+
+toLocal :: Integer -> Maybe Text -> TypeInfo 'Global -> TypeInfo 'Local
+toLocal ph parent = instantiate ph parent Map.empty
+
+toGlobal :: TypeInfo 'Local -> TypeInfo 'Global
+toGlobal = foldFix alg
+  where
+    alg f = Fix (bimap convert id f)
+    convert :: TemplateId 'Local -> TemplateId 'Global
+    convert (TIdInst _ tid)   = tid
+    convert (TIdPoly _ i h _) = TIdParam i h
+    convert (TIdSolver i h)   = TIdParam i h
+    convert (TIdAnonymous h)  = TIdAnonymous h
+    convert (TIdRec i)        = TIdRec i
+
+
+getDescrLexeme :: TypeDescr p -> Lexeme (TemplateId p)
+getDescrLexeme = \case
+    StructDescr l _ _ -> fmap mkId l
+    UnionDescr l _ _ -> fmap mkId l
+    EnumDescr l _ -> fmap mkId l
+    IntDescr l _ -> fmap mkId l
+    FuncDescr l _ _ _ -> fmap mkId l
+    AliasDescr l _ _ -> fmap mkId l
+
+mkId :: Text -> TemplateId p
+mkId = TIdAnonymous . Just
+
+resolveRef :: TypeSystem -> TypeInfo 'Global -> TypeInfo 'Global
+resolveRef = resolveRefWith Set.empty
+
+resolveRefWith :: Set Text -> TypeSystem -> TypeInfo 'Global -> TypeInfo 'Global
+resolveRefWith seen tys ty = go seen ty
+  where
+    go seen' (TypeRef ref l@(L _ _ tid) args) =
+        let name = templateIdBaseName tid in
+        case lookupType name tys of
+            Nothing -> TypeRef ref l (map (go seen') args)
+            Just descr ->
+                case descr of
+                    AliasDescr _ tps target ->
+                        if Set.member name seen'
+                        then TypeRef ref l (map (go seen') args)
+                        else
+                            let args' = if null args && not (null tps)
+                                        then [ Template t Nothing | t <- tps ]
+                                        else args
+                                m = Map.fromList (zip tps (map (go seen') args'))
+                            in go (Set.insert name seen') (instantiateGlobal m target)
+                    _ ->
+                        let ref' = case descr of
+                                    StructDescr{} -> StructRef
+                                    UnionDescr{}  -> UnionRef
+                                    EnumDescr{}   -> EnumRef
+                                    IntDescr{}    -> IntRef
+                                    FuncDescr{}   -> FuncRef
+                            tps = getDescrTemplates descr
+                            args' = if null args && not (null tps)
+                                    then [ Template t Nothing | t <- tps ]
+                                    else args
+                            l' = getDescrLexeme descr
+                        in TypeRef ref' l' (map (go (Set.insert name seen')) args')
+    go seen' (Fix f) = Fix (fmap (go seen') f)
+
+resolveRefLocal :: TypeSystem -> TypeInfo 'Local -> TypeInfo 'Local
+resolveRefLocal tys ty = go Set.empty ty
+  where
+    go seen (TypeRef ref l@(L _ _ tid) args) =
+        let name = templateIdBaseName tid in
+        if Set.member name seen
+        then TypeRef ref l (map (go seen) args)
+        else case lookupType name tys of
+            Nothing -> TypeRef ref l (map (go seen) args)
+            Just descr ->
+                let tps = getDescrTemplates descr
+                    args' = if null args && not (null tps)
+                            then [ instantiate 0 Nothing (Map.fromList (zip tps args)) (Template t Nothing) | t <- tps ]
+                            else args
+                    descr' = instantiateDescr 0 Nothing (Map.fromList (zip tps args')) descr
+                in case descr' of
+                    AliasDescr _ _ target ->
+                        go (Set.insert name seen) target
+                    _ ->
+                        let ref' = case descr' of
+                                    StructDescr{} -> StructRef
+                                    UnionDescr{}  -> UnionRef
+                                    EnumDescr{}   -> EnumRef
+                                    IntDescr{}    -> IntRef
+                                    FuncDescr{}   -> FuncRef
+                            l' = getDescrLexeme descr'
+                        in TypeRef ref' l' (map (go seen) args')
+    go seen (Fix f) = Fix (fmap (go seen) f)
+
+indexTemplates :: TypeInfo p -> TypeInfo p -> TypeInfo p
+indexTemplates idx = foldFix $ \case
+    TemplateF (FullTemplate t _) -> Template t (Just idx)
+    f             -> Fix f
+
+isInt :: StdType -> Bool
+isInt = \case
+    CharTy   -> True
+    U08Ty    -> True
+    S08Ty    -> True
+    U16Ty    -> True
+    S16Ty    -> True
+    U32Ty    -> True
+    S32Ty    -> True
+    U64Ty    -> True
+    S64Ty    -> True
+    SizeTy   -> True
+    NullPtrTy -> False
+    _        -> False
+
+unwrap :: TypeInfo p -> TypeInfo p
+unwrap (Const t)    = unwrap t
+unwrap (Owner t)    = unwrap t
+unwrap (Nonnull t)  = unwrap t
+unwrap (Nullable t) = unwrap t
+unwrap (Sized t _)  = unwrap t
+unwrap (Var _ t)    = unwrap t
+unwrap t            = t
+
+stripAllWrappers :: TypeInfo p -> TypeInfo p
+stripAllWrappers (Pointer t)        = stripAllWrappers t
+stripAllWrappers (Array (Just t) _) = stripAllWrappers t
+stripAllWrappers (Nonnull t)        = stripAllWrappers t
+stripAllWrappers (Nullable t)       = stripAllWrappers t
+stripAllWrappers (Const t)          = stripAllWrappers t
+stripAllWrappers (Owner t)          = stripAllWrappers t
+stripAllWrappers (Sized t _)        = stripAllWrappers t
+stripAllWrappers (Var _ t)          = stripAllWrappers t
+stripAllWrappers t                  = t
+
+isPointerLike :: TypeInfo p -> Bool
+isPointerLike = foldFix $ \case
+    PointerF _ -> True
+    ArrayF _ _ -> True
+    QualifiedF _ t -> t
+    VarF _ t -> t
+    SizedF t _ -> t
+    _ -> False
+
+getInnerType :: TypeInfo p -> TypeInfo p
+getInnerType t = case unwrap t of
+    Pointer inner        -> inner
+    Array (Just inner) _ -> inner
+    _                    -> t
+
+promoteNonnull :: TypeInfo p -> TypeInfo p
+promoteNonnull = foldFix $ \case
+    QualifiedF qs t -> Qualified (Set.insert QNonnull (Set.delete QNullable qs)) t
+    f           -> Fix f
+
+descrToTypeInfo :: TypeDescr p -> TypeInfo p
+descrToTypeInfo = \case
+    StructDescr l args _ -> TypeRef StructRef (fmap mkId l) (map (\t -> Template t Nothing) args)
+    UnionDescr l args _  -> TypeRef UnionRef (fmap mkId l) (map (\t -> Template t Nothing) args)
+    EnumDescr l _        -> TypeRef EnumRef (fmap mkId l) []
+    IntDescr l _         -> TypeRef IntRef (fmap mkId l) []
+    FuncDescr l args r p ->
+        let sig = Function r p
+        in if null args then sig else TypeRef FuncRef (fmap mkId l) (map (\t -> Template t Nothing) args)
+    AliasDescr l args t  -> if null args then t else TypeRef UnresolvedRef (fmap mkId l) (map (\arg -> Template arg Nothing) args)
+
+isVarArg :: TypeInfo p -> Bool
+isVarArg VarArg = True
+isVarArg _      = False
+
+isSpecial :: TypeInfo p -> Bool
+isSpecial VarArg               = True
+isSpecial (BuiltinType VoidTy) = True
+isSpecial _                    = False
+
+promote :: TypeInfo p -> TypeInfo p -> TypeInfo p
+promote t1 t2                 | t1 == t2 = t1
+promote (BuiltinType F64Ty) _ = BuiltinType F64Ty
+promote _ (BuiltinType F64Ty) = BuiltinType F64Ty
+promote (BuiltinType F32Ty) _ = BuiltinType F32Ty
+promote _ (BuiltinType F32Ty) = BuiltinType F32Ty
+promote (BuiltinType S64Ty) _ = BuiltinType S64Ty
+promote _ (BuiltinType S64Ty) = BuiltinType S64Ty
+promote (BuiltinType U64Ty) _ = BuiltinType U64Ty
+promote _ (BuiltinType U64Ty) = BuiltinType U64Ty
+promote t _                   = t
+
+isSockaddr :: TypeInfo p -> Bool
+isSockaddr t = case unwrap t of
+    TypeRef ref (L _ _ tid) _ -> templateIdBaseName tid == "sockaddr" && (ref == StructRef || ref == UnresolvedRef)
+    _ -> False
+
+isSockaddrIn :: TypeInfo p -> Bool
+isSockaddrIn t = case unwrap t of
+    TypeRef ref (L _ _ tid) _ -> templateIdBaseName tid == "sockaddr_in" && (ref == StructRef || ref == UnresolvedRef)
+    _ -> False
+
+isSockaddrIn6 :: TypeInfo p -> Bool
+isSockaddrIn6 t = case unwrap t of
+    TypeRef ref (L _ _ tid) _ -> templateIdBaseName tid == "sockaddr_in6" && (ref == StructRef || ref == UnresolvedRef)
+    _ -> False
+
+isSockaddrStorage :: TypeInfo p -> Bool
+isSockaddrStorage t = case unwrap t of
+    TypeRef ref (L _ _ tid) _ -> templateIdBaseName tid == "sockaddr_storage" && (ref == StructRef || ref == UnresolvedRef)
+    _ -> False
+
+isNetworkingStruct :: TypeInfo p -> Bool
+isNetworkingStruct t = isSockaddr t || isSockaddrIn t || isSockaddrIn6 t || isSockaddrStorage t
+
+isAnyStruct :: TypeInfo p -> Bool
+isAnyStruct t = case unwrap t of
+    TypeRef StructRef _ _     -> True
+    TypeRef UnresolvedRef _ _ -> True
+    _                         -> False
+
+getTypeLexeme :: TypeInfo p -> Maybe (Lexeme Text)
+getTypeLexeme = \case
+    TypeRef _ l _    -> Just (fmap templateIdBaseName l)
+    Pointer t        -> getTypeLexeme t
+    Sized _ l        -> Just (fmap templateIdBaseName l)
+    Const t          -> getTypeLexeme t
+    Owner t          -> getTypeLexeme t
+    Nonnull t        -> getTypeLexeme t
+    Nullable t       -> getTypeLexeme t
+    ExternalType l   -> Just (fmap templateIdBaseName l)
+    Array (Just t) _ -> getTypeLexeme t
+    Var l _          -> Just (fmap templateIdBaseName l)
+    Function r _     -> getTypeLexeme r
+    IntLit l         -> Just (fmap templateIdBaseName l)
+    NameLit l        -> Just (fmap templateIdBaseName l)
+    EnumMem l        -> Just (fmap templateIdBaseName l)
+    _                -> Nothing
+
+isLPTSTR :: TypeInfo p -> Bool
+isLPTSTR t = case unwrap t of
+    TypeRef _ (L _ _ tid) _ -> templateIdBaseName tid == "LPTSTR" || templateIdBaseName tid == "lptstr"
+    _                        -> False
+
+isPointerToChar :: TypeInfo p -> Bool
+isPointerToChar t = case unwrap t of
+    Pointer t' -> case unwrap t' of
+        BuiltinType CharTy -> True
+        _                  -> False
+    _          -> False
+
+containsTemplate :: TypeInfo p -> Bool
+containsTemplate = foldFix $ \case
+    TemplateF _ -> True
+    f           -> any id f
+
+isGeneric :: TypeInfo p -> Bool
+isGeneric t = fst $ foldFix alg t
+  where
+    alg = \case
+        TemplateF _ -> (True, False)
+        QualifiedF qs (_, _) | QOwner `Set.member` qs -> (True, False)
+        BuiltinTypeF VoidTy -> (False, True)
+        PointerF (isG, isV) -> (isG || isV, False)
+        ArrayF m _ -> (fromMaybe False (fmap fst m), False)
+        f -> (any fst f, False)
+
+resolveType' :: TypeInfo p -> TypeInfo p
+resolveType' (Var _ t)    = resolveType' t
+resolveType' (Nonnull t)  = resolveType' t
+resolveType' (Nullable t) = resolveType' t
+resolveType' (Const t)    = resolveType' t
+resolveType' (Owner t)    = resolveType' t
+resolveType' (Sized t _)  = resolveType' t
+resolveType' t            = t
+
+lookupMemberType :: Text -> TypeDescr p -> Maybe (TypeInfo p)
+lookupMemberType field = \case
+    StructDescr _ _ members -> lookupIn members
+    UnionDescr  _ _ members -> lookupIn members
+    _                       -> Nothing
+  where
+    lookupIn ms = lookup field [ (C.lexemeText l, t) | (l, t) <- ms ]
+
diff --git a/src/Language/Cimple/Analysis/TypeSystem/AlgebraicSolver.hs b/src/Language/Cimple/Analysis/TypeSystem/AlgebraicSolver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/AlgebraicSolver.hs
@@ -0,0 +1,54 @@
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.AlgebraicSolver
+    ( solveSCC
+    ) where
+
+import           Data.Map.Strict (Map)
+import qualified Data.Map.Strict as Map
+import           Data.Set        (Set)
+import qualified Data.Set        as Set
+import qualified Debug.Trace     as Debug
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+-- | Solves a system of monotonic equations for a single SCC.
+-- Uses structural variable elimination (Kleene's algorithm / State Elimination).
+--
+-- This algorithm is purely reductive on the set of variables, ensuring
+-- termination if the 'lfp' function for a single variable is terminating.
+solveSCC :: forall var expr. (Ord var, Eq expr, Show var, Show expr)
+         => (var -> expr -> expr -> expr) -- ^ substitute var expr in_expr
+         -> (var -> expr -> expr)         -- ^ lfp of var in_expr
+         -> (expr -> expr -> expr)         -- ^ join/merge
+         -> expr                          -- ^ bottom (least element)
+         -> Map var (Set expr)             -- ^ equations (var = join requirements)
+         -> Map var expr
+solveSCC subst lfp merge bottom eqns =
+    let initial_m = Map.map (foldl (\acc e -> let res = merge acc e in dtrace ("merge " ++ show acc ++ " " ++ show e ++ " -> " ++ show res) res) bottom . Set.toList) eqns
+    in solve (Map.keys eqns) (dtrace ("solveSCC initial_m: " ++ show initial_m) initial_m)
+  where
+    solve :: [var] -> Map var expr -> Map var expr
+    solve [] _ = Map.empty
+    solve [v] m =
+        let e = Map.findWithDefault bottom v m
+            v_solved = lfp v e
+            res = Map.singleton v v_solved
+        in dtrace ("solve [v] " ++ show v ++ " m=" ++ show m ++ " -> " ++ show res) res
+    solve (v:vs) m =
+        let -- 1. Express v in terms of v and vs.
+            e_v = Map.findWithDefault bottom v m
+            -- 2. "Eliminate" self-dependency of v by finding its LFP.
+            --    This results in an expression v* = f(vs).
+            v_star = lfp v e_v
+            -- 3. Substitute v* into the equations for the remaining variables.
+            m' = Map.map (subst v v_star) (Map.delete v m)
+            -- 4. Recursively solve the smaller system.
+            solved_vs = solve vs m'
+            -- 5. Finally, substitute the solved vs back into v*.
+            v_final = Map.foldrWithKey subst v_star solved_vs
+            res = Map.insert v v_final solved_vs
+        in dtrace ("solve (v:vs) v=" ++ show v ++ " v_star=" ++ show v_star ++ " -> " ++ show res) res
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Canonicalization.hs b/src/Language/Cimple/Analysis/TypeSystem/Canonicalization.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Canonicalization.hs
@@ -0,0 +1,36 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TupleSections       #-}
+
+module Language.Cimple.Analysis.TypeSystem.Canonicalization
+    ( minimize
+    , bisimilar
+    , minimizeGraph
+    , normalizeGraph
+    ) where
+
+import           Language.Cimple.Analysis.TypeSystem           (TypeInfo)
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph (fromTypeInfo,
+                                                                minimizeGraph,
+                                                                normalizeGraph,
+                                                                toTypeInfo)
+
+-- | Minimizes an equi-recursive type by merging bisimilar nodes and returning
+-- a canonical tree representation.
+--
+-- This is the core algorithm for ensuring that recursive types don't unroll
+-- indefinitely during solving.
+minimize :: TypeInfo p -> TypeInfo p
+minimize t =
+    let graph = fromTypeInfo t
+        minGraph = minimizeGraph graph
+        normGraph = normalizeGraph minGraph
+    in toTypeInfo normGraph
+
+-- | Checks if two equi-recursive types represent the same infinite tree.
+bisimilar :: TypeInfo p -> TypeInfo p -> Bool
+bisimilar t1 t2 = minimize t1 == minimize t2
+
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Constraints.hs b/src/Language/Cimple/Analysis/TypeSystem/Constraints.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Constraints.hs
@@ -0,0 +1,77 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE KindSignatures    #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.TypeSystem.Constraints
+    ( Constraint (..)
+    , collectTemplates
+    , mapTypes
+    ) where
+
+import           Data.Aeson                          (ToJSON)
+import           Data.List                           (nub)
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import           GHC.Generics                        (Generic)
+import           Language.Cimple                     (Lexeme (..))
+import           Language.Cimple.Analysis.Errors     (Context (..),
+                                                      MismatchReason (..))
+import           Language.Cimple.Analysis.TypeSystem (ArbitraryTemplateId (..),
+                                                      FullTemplate, Phase (..),
+                                                      TypeInfo,
+                                                      collectUniqueTemplateVars)
+import           Test.QuickCheck                     (Arbitrary (..), oneof,
+                                                      scale)
+
+-- | A type constraint represents a relationship that must hold between types.
+-- It is the core language used by the solver to perform type inference and
+-- check for soundness.
+data Constraint (p :: Phase)
+    = Equality (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    -- ^ T1 and T2 must be the same type.
+    | Subtype (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    -- ^ The first type (actual) must be a subtype of the second (expected).
+    | Lub (TypeInfo p) [TypeInfo p] (Maybe (Lexeme Text)) [Context p] MismatchReason
+    -- ^ The first type is the Least Upper Bound (LUB) of the given list of types.
+    | Callable (TypeInfo p) [TypeInfo p] (TypeInfo p) (Maybe (Lexeme Text)) [Context p] (Maybe Integer) Bool
+    -- ^ Represents a function call. Params: FunctionType, ArgTypes, ReturnType, Location, Context, CallSiteId, ShouldRefresh.
+    | MemberAccess (TypeInfo p) Text (TypeInfo p) (Maybe (Lexeme Text)) [Context p] MismatchReason
+    -- ^ Represents a struct/union member access. Params: BaseType, MemberName, ResultType, Location, Context, Reason.
+    | CoordinatedPair (TypeInfo p) (TypeInfo p) (TypeInfo p) (Maybe (Lexeme Text)) [Context p] (Maybe Integer)
+    -- ^ Conditional constraint: If the first type (trigger) is Nonnull,
+    -- then the second (actual) must be a subtype of the third (expected).
+    deriving (Show, Eq, Ord, Generic)
+
+instance ArbitraryTemplateId p => Arbitrary (Constraint p) where
+    arbitrary = oneof
+        [ Equality <$> arbitrary <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary
+        , Subtype <$> arbitrary <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary
+        , Lub <$> arbitrary <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary
+        , Callable <$> arbitrary <*> arbitrary <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary <*> arbitrary
+        , MemberAccess <$> arbitrary <*> (scale (const 2) $ arbitrary >>= return . T.pack) <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary
+        , CoordinatedPair <$> arbitrary <*> arbitrary <*> arbitrary <*> return Nothing <*> arbitrary <*> arbitrary
+        ]
+
+instance ToJSON (Constraint p)
+
+-- | Collects all unique templates used across all types in the constraint.
+collectTemplates :: Constraint p -> [FullTemplate p]
+collectTemplates = nub . collectUniqueTemplateVars . \case
+    Equality t1 t2 _ _ _         -> [t1, t2]
+    Subtype t1 t2 _ _ _          -> [t1, t2]
+    Lub t1 ts _ _ _              -> t1 : ts
+    Callable t1 ts t2 _ _ _ _    -> t1 : t2 : ts
+    MemberAccess t1 _ t2 _ _ _   -> [t1, t2]
+    CoordinatedPair t1 t2 t3 _ _ _ -> [t1, t2, t3]
+
+-- | Applies a transformation function to all TypeInfo nodes within the constraint.
+mapTypes :: (TypeInfo p -> TypeInfo p) -> Constraint p -> Constraint p
+mapTypes f = \case
+    Equality t1 t2 ml ctx r         -> Equality (f t1) (f t2) ml ctx r
+    Subtype t1 t2 ml ctx r          -> Subtype (f t1) (f t2) ml ctx r
+    Lub t1 ts ml ctx r              -> Lub (f t1) (map f ts) ml ctx r
+    Callable t1 ts t2 ml ctx i s    -> Callable (f t1) (map f ts) (f t2) ml ctx i s
+    MemberAccess t1 n t2 ml ctx r   -> MemberAccess (f t1) n (f t2) ml ctx r
+    CoordinatedPair t1 t2 t3 ml ctx i -> CoordinatedPair (f t1) (f t2) (f t3) ml ctx i
diff --git a/src/Language/Cimple/Analysis/TypeSystem/GraphAlgebra.hs b/src/Language/Cimple/Analysis/TypeSystem/GraphAlgebra.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/GraphAlgebra.hs
@@ -0,0 +1,186 @@
+{-# LANGUAGE FlexibleContexts     #-}
+{-# LANGUAGE RankNTypes           #-}
+{-# LANGUAGE ScopedTypeVariables  #-}
+{-# LANGUAGE StandaloneDeriving   #-}
+{-# LANGUAGE UndecidableInstances #-}
+
+module Language.Cimple.Analysis.TypeSystem.GraphAlgebra
+    ( Graph (..)
+    , NodeId
+    , universalProduct
+    , minimize
+    , merge
+    , prune
+    ) where
+
+import           Control.Monad.State.Strict (execState, modify)
+import           Data.IntMap.Strict         (IntMap)
+import qualified Data.IntMap.Strict         as IntMap
+import           Data.List                  (elemIndex, foldl')
+import           Data.Map.Strict            (Map)
+import qualified Data.Map.Strict            as Map
+import           Data.Maybe                 (fromMaybe)
+import           Data.Set                   (Set)
+import qualified Data.Set                   as Set
+
+-- | A generic structural graph (automaton).
+-- Nodes are indexed by NodeId and contain a value of type 'f NodeId'.
+-- Negative NodeIds are reserved for terminal/virtual nodes.
+data Graph f = Graph
+    { gNodes :: IntMap (f NodeId)
+    , gRoot  :: NodeId
+    }
+
+deriving instance Show (f NodeId) => Show (Graph f)
+deriving instance Eq (f NodeId) => Eq (Graph f)
+deriving instance Ord (f NodeId) => Ord (Graph f)
+
+type NodeId = Int
+
+-- | Computes the Product Automaton of two graphs over a finite auxiliary state space 's'.
+-- This algorithm uses reachability-based construction (Worklist) to avoid
+-- generating unreachable states. It is provably terminating and total.
+universalProduct :: forall f s. (Traversable f, Ord s, Ord (f ()), Ord (f NodeId))
+                 => (NodeId -> NodeId -> s -> f (NodeId, NodeId, s))
+                 -- ^ Pure, non-recursive transition function
+                 -> IntMap (f NodeId) -- ^ Structure of terminal nodes
+                 -> [NodeId]          -- ^ Opaque terminal NodeIds (atomic)
+                 -> [s]               -- ^ (Unused in reachability version) Finite auxiliary state space
+                 -> Graph f           -- ^ Input Graph 1
+                 -> Graph f           -- ^ Input Graph 2
+                 -> s                 -- ^ Initial auxiliary state
+                 -> Graph f
+universalProduct combine structuredTerminals atomicTerminals _allStates g1 g2 startState =
+    let terminals = atomicTerminals ++ IntMap.keys structuredTerminals
+        startTriple = (gRoot g1, gRoot g2, startState)
+        (nodes, stateToId) = buildReachability terminals startTriple
+        rootId = fromMaybe (error "GA: root not found") $ Map.lookup startTriple stateToId
+    in prune $ minimize structuredTerminals atomicTerminals $ Graph nodes rootId
+  where
+    buildReachability _terminals start =
+        let go seen worklist accMap idAcc
+                | Set.null worklist = (idAcc, accMap)
+                | otherwise =
+                    let (triple@(i, j, s), rest) = Set.deleteFindMin worklist
+                        sId = fromMaybe (error "GA: internal worklist error") $ Map.lookup triple accMap
+                        nodeF = combine i j s
+                        -- Determine child triples
+                        childTriples = execState (traverse (\t -> modify (t:)) nodeF) []
+                        -- Update state mapping for new children
+                        (accMap', idAcc', newWork) = foldl' (register seen) (accMap, idAcc, Set.empty) childTriples
+                        -- Set child IDs in node structure
+                        nodeF' = fmap (\t -> fromMaybe (error "GA: lookup failure") (Map.lookup t accMap')) nodeF
+                        idAcc'' = IntMap.insert sId nodeF' idAcc'
+                    in go (Set.insert triple seen) (Set.union rest newWork) accMap' idAcc''
+
+            register seen (m, iAcc, nw) triple
+                | triple `Map.member` m = (m, iAcc, nw)
+                | otherwise =
+                    let newId = Map.size m
+                        m' = Map.insert triple newId m
+                    in (m', iAcc, if Set.member triple seen then nw else Set.insert triple nw)
+
+            (initialMap, _, _) = register Set.empty (Map.empty, IntMap.empty, Set.empty) start
+        in go Set.empty (Set.singleton start) initialMap IntMap.empty
+
+-- | Minimizes a structural graph using Moore's Algorithm (Partition Refinement).
+-- This algorithm is strictly reductive on the partition of a finite set of nodes.
+minimize :: forall f. (Traversable f, Ord (f ()), Ord (f NodeId))
+         => IntMap (f NodeId) -- ^ Structure of terminal nodes to allow merging
+         -> [NodeId]          -- ^ Opaque terminal NodeIds (atomic)
+         -> Graph f -> Graph f
+minimize structuredTerminals atomicTerminals (Graph nodes root) =
+    let terminals = atomicTerminals ++ IntMap.keys structuredTerminals
+        partition = findPartition structuredTerminals atomicTerminals nodes
+        realGroups = filter (not . any (`elem` terminals)) partition
+
+        allNodes = nodes `IntMap.union` structuredTerminals
+        newNodes = IntMap.fromList [ (newIdx, fmap (findClassId terminals partition) (getNode allNodes i))
+                                   | (newIdx, i:_) <- zip [0..] realGroups ]
+        newRoot = findClassId terminals partition root
+    in Graph newNodes newRoot
+
+-- | Merges two graphs into one, ensuring semantically identical nodes are shared.
+merge :: forall f. (Traversable f, Ord (f ()), Ord (f NodeId))
+      => IntMap (f NodeId) -- ^ Structure of terminal nodes
+      -> [NodeId]          -- ^ Opaque terminal NodeIds (atomic)
+      -> Graph f -> Graph f -> (Graph f, NodeId, NodeId)
+merge structuredTerminals atomicTerminals g1 g2 =
+    let terminals = atomicTerminals ++ IntMap.keys structuredTerminals
+        nodes1 = gNodes g1
+        nodes2 = gNodes g2
+        offset = (case IntMap.maxViewWithKey nodes1 of { Just ((k, _), _) -> k; Nothing -> 0 }) + 1
+        shift i | i `elem` terminals = i
+                | otherwise          = i + offset
+        nodes2' = IntMap.fromList [ (shift k, fmap shift n) | (k, n) <- IntMap.toList nodes2 ]
+
+        mergedNodes = IntMap.union nodes1 nodes2'
+        partition = findPartition structuredTerminals atomicTerminals mergedNodes
+        realGroups = filter (not . any (`elem` terminals)) partition
+
+        allNodes = mergedNodes `IntMap.union` structuredTerminals
+        newNodes = IntMap.fromList [ (newIdx, fmap (findClassId terminals partition) (getNode allNodes i))
+                                   | (newIdx, i:_) <- zip [0..] realGroups ]
+        newRoot1 = findClassId terminals partition (gRoot g1)
+        newRoot2 = findClassId terminals partition (shift (gRoot g2))
+    in (Graph newNodes newRoot1, newRoot1, newRoot2)
+
+-- | Standard reachability pruning.
+prune :: forall f. (Traversable f) => Graph f -> Graph f
+prune (Graph nodes root) =
+    let reachableIds = foldl' expand (Set.singleton root) [1 .. IntMap.size nodes]
+        expand seen _ = Set.union seen (Set.fromList $ concatMap (getChildren nodes) (Set.toList seen))
+        newNodes = IntMap.filterWithKey (\k _ -> Set.member k reachableIds) nodes
+    in Graph newNodes root
+
+--------------------------------------------------------------------------------
+-- Internal Helpers
+--------------------------------------------------------------------------------
+
+findPartition :: forall f. (Traversable f, Ord (f ()), Ord (f NodeId))
+              => IntMap (f NodeId) -> [NodeId] -> IntMap (f NodeId) -> [[NodeId]]
+findPartition structuredTerminals atomicTerminals nodes =
+    let allNodes = nodes `IntMap.union` structuredTerminals
+        terminals = atomicTerminals ++ IntMap.keys structuredTerminals
+        initialPartition = [ [t] | t <- atomicTerminals ] ++
+            (Map.elems $ Map.fromListWith (++) $
+                [ (fmap (const ()) node, [i]) | (i, node) <- IntMap.toList allNodes ])
+    in refine allNodes terminals initialPartition
+
+refine :: forall f. (Traversable f, Ord (f NodeId))
+       => IntMap (f NodeId) -> [NodeId] -> [[NodeId]] -> [[NodeId]]
+refine allNodes terminals p =
+    let p' = concatMap (split allNodes terminals p) p
+    in if length p' == length p then p else refine allNodes terminals p'
+
+split :: forall f. (Traversable f, Ord (f NodeId))
+      => IntMap (f NodeId) -> [NodeId] -> [[NodeId]] -> [NodeId] -> [[NodeId]]
+split allNodes terminals p currentGroup =
+    -- Opaque terminal nodes are atomic and never split.
+    -- Structured terminals CAN be merged with regular nodes if they stay bisimilar.
+    if any (`elem` terminals) currentGroup && all (`elem` terminals) currentGroup
+    then [currentGroup]
+    else Map.elems $ Map.fromListWith (++) [ (fmap (findClassId terminals p) (getNode allNodes i), [i]) | i <- currentGroup ]
+
+getNode :: IntMap (f NodeId) -> NodeId -> f NodeId
+getNode nodes i = fromMaybe (error $ "GraphAlgebra: missing node " ++ show i) $ IntMap.lookup i nodes
+
+findClassId :: [NodeId] -> [[NodeId]] -> NodeId -> Int
+findClassId terminals p i
+    | i `elem` terminals = i
+    | otherwise =
+        case elemIndex True (map (elem i) p) of
+            Just idx ->
+                let group = p !! idx
+                in case filter (`elem` terminals) group of
+                    (t:_) -> t
+                    []    -> fromMaybe (error "GraphAlgebra: internal failure in findClassId") $
+                             elemIndex idx [ j | (j, g) <- zip [0..] p, not (any (`elem` terminals) g) ]
+            Nothing -> i
+
+getChildren :: forall f. (Traversable f) => IntMap (f NodeId) -> NodeId -> [NodeId]
+getChildren nodes i
+    | i < 0 = []
+    | otherwise = case IntMap.lookup i nodes of
+        Just node -> execState (traverse (\c -> modify (c:)) node) []
+        Nothing   -> []
diff --git a/src/Language/Cimple/Analysis/TypeSystem/GraphSolver.hs b/src/Language/Cimple/Analysis/TypeSystem/GraphSolver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/GraphSolver.hs
@@ -0,0 +1,94 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.GraphSolver
+    ( ConstraintGraph
+    , solveGraph
+    , solveAll
+    ) where
+
+import qualified Data.Graph                                           as Graph
+import           Data.Map.Strict                                      (Map)
+import qualified Data.Map.Strict                                      as Map
+import           Data.Maybe                                           (fromMaybe)
+import           Data.Set                                             (Set)
+import qualified Data.Set                                             as Set
+import           Language.Cimple.Analysis.TypeSystem                  (FullTemplate,
+                                                                       FullTemplateF (..),
+                                                                       TemplateId (..),
+                                                                       TypeInfo)
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph        (TypeGraph)
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph        as TG
+
+import           Language.Cimple.Analysis.TypeSystem.AlgebraicSolver  (solveSCC)
+import           Language.Cimple.Analysis.TypeSystem.Canonicalization (minimizeGraph)
+import           Language.Cimple.Analysis.TypeSystem.Lattice          (joinGraph)
+
+-- | A graph of constraints where each template points to a set of structural requirements.
+type ConstraintGraph p = Map (FullTemplate p) (Set (TypeGraph p))
+
+-- | Resolves a template through the constraint graph co-inductively.
+-- Guaranteed to terminate by processing the dependency graph's SCCs.
+solveGraph :: ConstraintGraph p -> FullTemplate p -> TypeInfo p
+solveGraph graph start = fromMaybe (TS.Template (ftId start) (ftIndex start)) (fmap TG.toTypeInfo (Map.lookup start (solveAll graph [start])))
+
+-- | Resolves multiple templates simultaneously.
+solveAll :: forall p. ConstraintGraph p -> [FullTemplate p] -> Map (FullTemplate p) (TypeGraph p)
+solveAll graph starts =
+    let reachableKeys = collectReachable Set.empty starts
+        nodes = [ (k, k, getDeps k) | k <- Set.toList reachableKeys ]
+        sccs = Graph.stronglyConnComp nodes
+    in foldl resolveScc Map.empty sccs
+  where
+    getDeps k = case Map.lookup k graph of
+        Nothing  -> []
+        Just gs -> TS.collectUniqueTemplateVars (map TG.toTypeInfo (Set.toList gs))
+
+    collectReachable seen [] = seen
+    collectReachable seen (k:ks)
+        | Set.member k seen = collectReachable seen ks
+        | otherwise = collectReachable (Set.insert k seen) (getDeps k ++ ks)
+
+    resolveScc :: Map (FullTemplate p) (TypeGraph p) -> Graph.SCC (FullTemplate p) -> Map (FullTemplate p) (TypeGraph p)
+    resolveScc acc (Graph.AcyclicSCC k) = resolveAcyclicScc acc k
+    resolveScc acc (Graph.CyclicSCC ks) = resolveCyclicScc acc ks
+
+    substituteAll acc g =
+        let vars = TS.collectUniqueTemplateVars [TG.toTypeInfo g]
+        in foldl (\accG v -> case Map.lookup v acc of
+                                Just vG -> minimizeGraph $ TG.substitute v vG accG
+                                Nothing -> accG) g vars
+
+    resolveAcyclicScc acc k =
+        case Map.lookup k graph of
+            Nothing -> Map.insert k (TG.fromTypeInfo (TS.Template (ftId k) (ftIndex k))) acc
+            Just gs ->
+                let isVar ft = ftId ft == ftId k
+                    resolvedGraphs = map (substituteAll acc) (Set.toList gs)
+                    merged = foldl (joinGraph isVar) (TG.fromTypeInfo TS.Unconstrained) resolvedGraphs
+                in Map.insert k (minimizeGraph merged) acc
+
+    resolveCyclicScc acc ks =
+        let isInternal ft = ftId ft `elem` map ftId ks
+
+            -- In the domain of equi-recursive types, LFP is handled by TG.lfp.
+            lfp' v g = minimizeGraph $ TG.lfp v g
+
+            -- Substitution replaces a template with its solved expression.
+            subst' v vG targetG = minimizeGraph $ TG.substitute v vG targetG
+
+            join' g1 g2 = minimizeGraph $ joinGraph isInternal g1 g2
+
+            -- Initial equations for the SCC: substitute everything from outside the SCC.
+            eqns = Map.fromList [ (k, Set.map (substituteAll acc) (fromMaybe Set.empty (Map.lookup k graph))) | k <- ks ]
+            bottom = TG.fromTypeInfo TS.Unconstrained
+
+            -- Solve the system of equations using variable elimination.
+            resultMap = solveSCC subst' lfp' join' bottom eqns
+        in Map.union resultMap acc
+
+
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Lattice.hs b/src/Language/Cimple/Analysis/TypeSystem/Lattice.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Lattice.hs
@@ -0,0 +1,114 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE RankNTypes          #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.Lattice
+    ( subtypeOf
+    , join
+    , joinSymbolic
+    , joinGraph
+    , meet
+    , meetSymbolic
+    , meetGraph
+    , compatible
+    ) where
+
+import qualified Data.Text                                            as T
+import           Language.Cimple                                      (Lexeme (..))
+import           Language.Cimple.Analysis.TypeSystem                  (pattern Array,
+                                                                       pattern BuiltinType,
+                                                                       pattern ExternalType,
+                                                                       pattern IntLit,
+                                                                       pattern Nullable,
+                                                                       Phase (Local),
+                                                                       pattern Pointer,
+                                                                       pattern Singleton,
+                                                                       StdType (BoolTy, NullPtrTy, S32Ty),
+                                                                       pattern Template,
+                                                                       TypeInfo,
+                                                                       pattern Var,
+                                                                       isNetworkingStruct,
+                                                                       templateIdBaseName)
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import qualified Language.Cimple.Analysis.TypeSystem.Canonicalization as Canonicalization
+import           Language.Cimple.Analysis.TypeSystem.Transition       (Polarity (..),
+                                                                       RigidNodeF (..),
+                                                                       ValueStructure (..))
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph        (TypeGraph,
+                                                                       normalizeGraph,
+                                                                       productConstruction)
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph        as TG
+
+subtypeOf :: TypeInfo p -> TypeInfo p -> Bool
+subtypeOf t1 t2 =
+    let m = meet t1 t2
+    in Canonicalization.bisimilar (TS.normalizeType m) (TS.normalizeType t1)
+
+join :: TypeInfo p -> TypeInfo p -> TypeInfo p
+join = joinSymbolic (const False)
+
+joinSymbolic :: forall p. (TS.FullTemplate p -> Bool) -> TypeInfo p -> TypeInfo p -> TypeInfo p
+joinSymbolic isVar t1 t2 =
+    let g1 = TG.fromTypeInfo t1
+        g2 = TG.fromTypeInfo t2
+    in TG.toTypeInfo $ joinGraph isVar g1 g2
+
+joinGraph :: forall p. (TS.FullTemplate p -> Bool) -> TypeGraph p -> TypeGraph p -> TypeGraph p
+joinGraph isVar g1 g2 =
+    let isVarNode = \case
+            RValue (VTemplate ft _ _) _ _ -> isVar (fmap (const TS.Unconstrained) ft)
+            _ -> False
+    in productConstruction isVarNode TG.PJoin (normalizeGraph g1) (normalizeGraph g2)
+
+meetGraph :: forall p. (TS.FullTemplate p -> Bool) -> TypeGraph p -> TypeGraph p -> TypeGraph p
+meetGraph isVar g1 g2 =
+    let isVarNode = \case
+            RValue (VTemplate ft _ _) _ _ -> isVar (fmap (const TS.Unconstrained) ft)
+            _ -> False
+    in productConstruction isVarNode TG.PMeet (normalizeGraph g1) (normalizeGraph g2)
+
+meet :: TypeInfo p -> TypeInfo p -> TypeInfo p
+meet = meetSymbolic (const False)
+
+meetSymbolic :: forall p. (TS.FullTemplate p -> Bool) -> TypeInfo p -> TypeInfo p -> TypeInfo p
+meetSymbolic isVar t1 t2 =
+    let g1 = TG.fromTypeInfo t1
+        g2 = TG.fromTypeInfo t2
+    in TG.toTypeInfo $ meetGraph isVar g1 g2
+
+
+compatible :: TypeInfo 'Local -> TypeInfo 'Local -> Bool
+compatible t1 t2 | t1 == t2 = True
+compatible t1 t2 | isNetworkingStruct t1 && isNetworkingStruct t2 = True
+compatible (ExternalType (L _ _ n1)) (ExternalType (L _ _ n2)) =
+    templateIdBaseName n1 == templateIdBaseName n2
+compatible (BuiltinType NullPtrTy) (Pointer _) = True
+compatible (Pointer _) (BuiltinType NullPtrTy) = True
+compatible (BuiltinType NullPtrTy) (Nullable _) = True
+compatible (Nullable _) (BuiltinType NullPtrTy) = True
+compatible (Template _ _) _ = True
+compatible _ (Template _ _) = True
+compatible (Pointer _) (Array _ _) = True
+compatible (Array _ _) (Pointer _) = True
+compatible (BuiltinType b1) (BuiltinType b2)
+    | b1 == b2 = True
+    | TS.isInt b1 && TS.isInt b2 = True
+    | b1 == BoolTy && TS.isInt b2 = True
+    | TS.isInt b1 && b2 == BoolTy = True
+    | otherwise = False
+compatible (Singleton b1 _) (BuiltinType b2) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (BuiltinType b1) (Singleton b2 _) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (Singleton b1 _) (Singleton b2 _) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (IntLit (L _ _ v1)) (IntLit (L _ _ v2)) = v1 == v2
+compatible (IntLit (L _ _ v1)) (Singleton S32Ty v2) =
+    (read (T.unpack (templateIdBaseName v1)) :: Integer) == v2
+compatible (Singleton S32Ty v1) (IntLit (L _ _ v2)) =
+    v1 == (read (T.unpack (templateIdBaseName v2)) :: Integer)
+compatible (IntLit _) (BuiltinType b) = TS.isInt b
+compatible (BuiltinType b) (IntLit _) = TS.isInt b
+compatible (Var _ a) e = compatible a e
+compatible a (Var _ e) = compatible a e
+compatible _ _ = False
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Qualification.hs b/src/Language/Cimple/Analysis/TypeSystem/Qualification.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Qualification.hs
@@ -0,0 +1,124 @@
+{-# LANGUAGE DeriveGeneric #-}
+module Language.Cimple.Analysis.TypeSystem.Qualification
+    ( QualState (..)
+    , Nullability (..)
+    , Constness (..)
+    , Ownership (..)
+    , toQuals
+    , fromQuals
+    , stepQual
+    , allowCovariance
+    , joinQuals
+    , meetQuals
+    , subtypeQuals
+    ) where
+
+import           Data.Aeson                                (ToJSON)
+import           Data.Set                                  (Set)
+import qualified Data.Set                                  as Set
+import           GHC.Generics                              (Generic)
+import           Language.Cimple.Analysis.TypeSystem.Types (Qualifier (..))
+import           Test.QuickCheck                           (Arbitrary (..),
+                                                            arbitraryBoundedEnum,
+                                                            genericShrink)
+
+-- | State machine for C pointer qualification rules (C11 6.3.2.3).
+-- Ensures structural termination by keeping the state space finite.
+data QualState
+    = QualTop          -- ^ Not inside a pointer.
+    | QualLevel1Const  -- ^ At level 1, and it was 'const'.
+    | QualLevel1Mutable -- ^ At level 1, and it was 'mutable'.
+    | QualShielded     -- ^ All intermediate levels since depth 1 were 'const'.
+    | QualUnshielded   -- ^ At least one intermediate level since depth 1 was NOT 'const'.
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance ToJSON QualState
+
+instance Arbitrary QualState where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+-- | ADT for Hic Nullability Lattice: Nonnull < Unspecified < Nullable
+data Nullability = QNonnull' | QUnspecified | QNullable'
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance Arbitrary Nullability where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+-- | ADT for C 'const' qualifier.
+data Constness = QMutable' | QConst'
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance ToJSON Constness
+
+instance Arbitrary Constness where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+-- | ADT for ownership (Hic extension).
+data Ownership = QNonOwned' | QOwned'
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance ToJSON Ownership
+
+instance Arbitrary Ownership where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+-- | Bridge from old representation.
+toQuals :: Set Qualifier -> (Nullability, Ownership, Constness)
+toQuals qs =
+    let n = if Set.member QNullable qs then QNullable'
+            else if Set.member QNonnull qs then QNonnull'
+            else QUnspecified
+        o = if Set.member QOwner qs then QOwned' else QNonOwned'
+        c = if Set.member QConst qs then QConst' else QMutable'
+    in (n, o, c)
+
+-- | Bridge to old representation.
+fromQuals :: Nullability -> Ownership -> Constness -> Set Qualifier
+fromQuals n o c = Set.fromList $
+    (case n of QNullable' -> [QNullable]; QNonnull' -> [QNonnull]; QUnspecified -> []) ++
+    (case o of QOwned' -> [QOwner]; QNonOwned' -> []) ++
+    (case c of QConst' -> [QConst]; QMutable' -> [])
+
+-- | Transition function for the qualification FSM.
+-- 'isConst' refers to whether the *target* (expected) level is qualified with 'const'.
+stepQual :: QualState -> Bool -> QualState
+stepQual QualTop isConst = if isConst then QualLevel1Const else QualLevel1Mutable
+stepQual QualLevel1Const isConst = if isConst then QualShielded else QualUnshielded
+stepQual QualLevel1Mutable _ = QualUnshielded
+stepQual QualShielded isConst = if isConst then QualShielded else QualUnshielded
+stepQual QualUnshielded _ = QualUnshielded
+
+-- | Determines if covariance (actual <: expected) is allowed at the current level.
+-- If not allowed, invariance (actual == expected) is required for soundness.
+allowCovariance :: QualState -> Bool
+allowCovariance QualTop           = True
+allowCovariance QualLevel1Const   = True
+allowCovariance QualLevel1Mutable = False
+allowCovariance QualShielded      = True
+allowCovariance QualUnshielded    = False
+
+-- | Join two sets of qualifiers.
+joinQuals :: Set Qualifier -> Set Qualifier -> Set Qualifier
+joinQuals qs1 qs2 =
+    let (n1, o1, c1) = toQuals qs1
+        (n2, o2, c2) = toQuals qs2
+    in fromQuals (max n1 n2) (max o1 o2) (max c1 c2)
+
+-- | Meet two sets of qualifiers.
+meetQuals :: Set Qualifier -> Set Qualifier -> Set Qualifier
+meetQuals qs1 qs2 =
+    let (n1, o1, c1) = toQuals qs1
+        (n2, o2, c2) = toQuals qs2
+    in fromQuals (min n1 n2) (min o1 o2) (min c1 c2)
+
+-- | Check if one set of qualifiers is a subtype of another.
+subtypeQuals :: Set Qualifier -> Set Qualifier -> Bool
+subtypeQuals qs1 qs2 =
+    let (n1, o1, c1) = toQuals qs1
+        (n2, o2, c2) = toQuals qs2
+    in n1 <= n2 && o1 <= o2 && c1 <= c2
+
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Solver.hs b/src/Language/Cimple/Analysis/TypeSystem/Solver.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Solver.hs
@@ -0,0 +1,442 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+{-# OPTIONS_GHC -Wno-unused-top-binds #-}
+module Language.Cimple.Analysis.TypeSystem.Solver
+    ( solveConstraints
+    , verifyConstraints
+    , applyBindings
+    , Constraint (..)
+    ) where
+
+import           Data.Fix                                          (Fix (..),
+                                                                    foldFix,
+                                                                    unFix)
+import           Data.Foldable                                     (toList)
+import           Data.List                                         (foldl',
+                                                                    partition)
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Maybe                                        (fromMaybe)
+import           Data.Set                                          (Set)
+import qualified Data.Set                                          as Set
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import qualified Debug.Trace                                       as Debug
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.Errors                   (Context (..),
+                                                                    ErrorInfo (..),
+                                                                    MismatchDetail (..),
+                                                                    MismatchReason (..),
+                                                                    TypeError (..))
+import           Language.Cimple.Analysis.TypeSystem               (pattern BuiltinType,
+                                                                    FullTemplate,
+                                                                    pattern FullTemplate,
+                                                                    FullTemplateF (..),
+                                                                    Phase (..),
+                                                                    pattern Qualified,
+                                                                    pattern Template,
+                                                                    TemplateId (..),
+                                                                    TypeDescr (..),
+                                                                    TypeInfo,
+                                                                    TypeInfoF (..),
+                                                                    TypeSystem,
+                                                                    collectUniqueTemplateVars,
+                                                                    stripAllWrappers)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Language.Cimple.Analysis.TypeSystem.Constraints
+import qualified Language.Cimple.Analysis.TypeSystem.GraphSolver   as GS
+import           Language.Cimple.Analysis.TypeSystem.Lattice
+import           Language.Cimple.Analysis.TypeSystem.Qualification (subtypeQuals)
+import           Language.Cimple.Analysis.TypeSystem.Transition    (RigidNodeF (..),
+                                                                    SpecialNode (..),
+                                                                    ValueStructure (..))
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph     as TG
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+resolveCallable :: TypeSystem -> Map (FullTemplate 'Local) (TypeInfo 'Local) -> TypeInfo 'Local -> Maybe (TypeInfo 'Local, [TypeInfo 'Local])
+resolveCallable ts bindings ty =
+    let rt = stripAllWrappers $ applyBindings bindings ty
+    in case rt of
+        TS.Function ret params -> Just (ret, params)
+        TS.TypeRef TS.FuncRef (C.L _ _ tid) args ->
+            let name = TS.templateIdBaseName tid
+            in case TS.lookupType name ts of
+                Just (TS.FuncDescr _ tps ret params) ->
+                     let m = Map.fromList (zip tps args)
+                         inst = TS.instantiate 0 Nothing m
+                     in Just (inst ret, map inst params)
+                _ -> Nothing
+        _ -> Nothing
+
+resolveCallableG :: TypeSystem -> Map (FullTemplate 'Local) (TG.TypeGraph 'Local) -> TypeInfo 'Local -> Maybe (TG.TypeGraph 'Local, [TG.TypeGraph 'Local])
+resolveCallableG ts bindings ty =
+    let g = applyBindingsG bindings ty
+        node = TG.getNode (TG.tgRoot g) g
+    in case node of
+        RFunction ret params _ _ ->
+            Just (TG.TypeGraph (TG.tgNodes g) ret, map (TG.TypeGraph (TG.tgNodes g)) params)
+        RValue (VPointer inner _ _) _ _ -> resolveCallableG ts bindings (TG.toTypeInfo (TG.TypeGraph (TG.tgNodes g) inner))
+        RValue (VTypeRef TS.FuncRef (C.L _ _ tid) args) _ _ ->
+            let name = TS.templateIdBaseName tid
+            in case TS.lookupType name ts of
+                Just (TS.FuncDescr _ tps ret params) ->
+                     let argTys = map (TG.toTypeInfo . TG.TypeGraph (TG.tgNodes g)) args
+                         m = Map.fromList (zip tps argTys)
+                         inst = TS.instantiate 0 Nothing m
+                     in Just (TG.fromTypeInfo (inst ret), map (TG.fromTypeInfo . inst) params)
+                _ -> Nothing
+        _ -> Nothing
+
+-- | Solves a list of constraints for a given set of templates.
+-- Uses SCC-based graph reduction to find the least specific
+-- types that satisfy all constraints.
+solveConstraints :: TypeSystem -> Set Integer -> Map (FullTemplate 'Local) (TypeInfo 'Local) -> [Constraint 'Local] -> Map (FullTemplate 'Local) (TypeInfo 'Local)
+solveConstraints ts activePhases initialBindingsMap constraints =
+    let initialBindingsG = Map.map TG.fromTypeInfo initialBindingsMap
+        -- Pass 1: Structural constraints
+        g1 = buildConstraintGraph constraints
+        s1 = GS.solveAll g1 (Map.keys g1)
+        b1 = Map.union s1 initialBindingsG
+
+        -- Pass 2: Activate MemberAccess/Callable using Pass 1 results
+        g2 = foldl' (activateConstraints b1) g1 constraints
+        s2 = GS.solveAll g2 (Map.keys g2)
+        b2 = Map.union s2 initialBindingsG
+
+        -- Pass 3: One more activation for dependencies between MemberAccess and Callable
+        g3 = foldl' (activateConstraints b2) g2 constraints
+        s3 = GS.solveAll g3 (Map.keys g3)
+        finalBindings = Map.union s3 initialBindingsG
+    in Map.mapWithKey (\ft tyG -> let ty = TG.toTypeInfo tyG in if isUnconstrained ty then Fix (TemplateF ft) else ty) finalBindings
+  where
+    isUnconstrained TS.Unconstrained = True
+    isUnconstrained _                = False
+
+    activateConstraints bindings graph = \case
+        MemberAccess base field memberTy _ _ _ ->
+            let gBase = applyBindingsG bindings base
+                go g = let node = TG.getNode (TG.tgRoot g) g in case node of
+                    RValue (VPointer inner _ _) _ _ -> go (TG.TypeGraph (TG.tgNodes g) inner)
+                    RValue (VTypeRef _ (C.L _ _ tid) args) _ _ ->
+                        let name = TS.templateIdBaseName tid
+                        in case TS.lookupType name ts of
+                            Just descr ->
+                                let argTys = map (TG.toTypeInfo . TG.TypeGraph (TG.tgNodes g)) args
+                                    descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) argTys)) descr
+                                in case TS.lookupMemberType field descr' of
+                                    Just t -> decomposeEqualityG (addEdgeG graph memberTy (TG.fromTypeInfo t)) (TG.fromTypeInfo memberTy) (TG.fromTypeInfo t)
+                                    Nothing -> graph
+                            Nothing -> graph
+                    _ -> graph
+            in go gBase
+
+        Callable funcType argTypes returnType _ _ mCsId shouldRefresh ->
+            let refreshedFunc = if shouldRefresh then refreshTemplates activePhases mCsId funcType (Map.map TG.toTypeInfo bindings) else funcType
+                vFunc = applyBindingsG bindings refreshedFunc
+                node = TG.getNode (TG.tgRoot vFunc) vFunc
+            in case resolveCallableG ts bindings refreshedFunc of
+                Just (retG, paramsG) ->
+                    let g0 = decomposeEqualityG graph (TG.fromTypeInfo returnType) retG
+                    in foldl' (\g (pG, a) -> decomposeSubtypeG g (TG.fromTypeInfo a) pG) g0 (zip paramsG argTypes)
+                Nothing ->
+                    case node of
+                        RValue (VTemplate ft _ _) _ _ ->
+                            let tid = TS.ftId ft
+                                baseIdx = case tid of
+                                    TIdSolver idx _    -> idx * 100
+                                    TIdPoly ph idx _ _ -> fromIntegral ph * 1000 + idx * 100
+                                    TIdInst idx _      -> fromIntegral idx * 100
+                                    _                  -> 0
+                                mkT j h = Fix (TemplateF (FullTemplate (TIdSolver (baseIdx + j) (Just h)) Nothing))
+                                retT = mkT 99 "ret"
+                                argTs = [ mkT j "arg" | j <- [0..length argTypes - 1] ]
+                                funcVal = TS.Function retT argTs
+                            in let g0 = decomposeEqualityG graph vFunc (TG.fromTypeInfo funcVal)
+                                   g1 = decomposeEqualityG g0 (TG.fromTypeInfo returnType) (TG.fromTypeInfo retT)
+                               in foldl' (\g (p, a) -> decomposeSubtypeG g (TG.fromTypeInfo a) (TG.fromTypeInfo p)) g1 (zip argTs argTypes)
+                        _ -> graph
+        CoordinatedPair trigger actual expected _ _ _ ->
+            let gTrigger = applyBindingsG bindings trigger
+                node = TG.getNode (TG.tgRoot gTrigger) gTrigger
+                isNonnull = case node of
+                    RValue (VPointer _ _ _) _ _ -> True
+                    _                           -> False -- Simplified for now
+            in if isNonnull
+               then decomposeSubtypeG graph (TG.fromTypeInfo actual) (TG.fromTypeInfo expected)
+               else graph
+        _ -> graph
+
+    buildConstraintGraph cs =
+        let initial = Map.fromList [ (t, Set.empty) | t <- concatMap collectTemplates cs ]
+            -- Structural decomposition: if T = S1 and T = S2, then S1 = S2.
+            -- This pushes constraints down into nested templates.
+            expanded = structuralDecomposition initial cs
+            graphWithTys = foldl' addConstraint initial expanded
+        in Map.map (Set.map TG.fromTypeInfo) graphWithTys
+
+    structuralDecomposition initial cs =
+        let g = foldl' addConstraint initial cs
+            implied = concatMap (extractImplied g) (Map.keys g)
+            newImplied = filter (`notElem` cs) implied
+        in if null newImplied then cs else structuralDecomposition initial (cs ++ newImplied)
+
+    extractImplied graph ft =
+        let values = Set.toList $ Map.findWithDefault Set.empty ft graph
+            (templates, structs) = partition isTemplate values
+        in case structs of
+            (s:ss) -> [Equality s s' Nothing [] GeneralMismatch | s' <- ss] ++
+                      [Equality s t Nothing [] GeneralMismatch | t <- templates]
+            [] -> case templates of
+                (t:ts_) -> [Equality t t' Nothing [] GeneralMismatch | t' <- ts_]
+                [] -> []
+
+    addConstraint graph = \case
+        Equality t1 t2 _ _ _ -> decomposeEquality graph t1 t2
+        Subtype actual expected _ _ _ -> decomposeSubtype graph actual expected
+        Lub t t_list _ _ _ ->
+            foldl' (\acc t_in -> addEdge acc t t_in) graph t_list
+        _ -> graph
+
+    decomposeEquality graph t1 t2 =
+        case (unFix t1, unFix t2) of
+            (TemplateF _, TemplateF _) ->
+                addEdge (addEdge graph t1 t2) t2 t1
+            (TemplateF _, _) -> addEdge graph t1 t2
+            (_, TemplateF _) -> addEdge graph t2 t1
+            (PointerF a, PointerF b) -> decomposeEquality graph a b
+            (ArrayF (Just a) _, ArrayF (Just b) _) -> decomposeEquality graph a b
+            (FunctionF r1 p1, FunctionF r2 p2) | length p1 == length p2 ->
+                let gRet = decomposeEquality graph r1 r2
+                in foldl' (\g (pp1, pp2) -> decomposeEquality g pp1 pp2) gRet (zip p1 p2)
+            (QualifiedF qs1 a, QualifiedF qs2 b) | qs1 == qs2 -> decomposeEquality graph a b
+            (VarF _ a, VarF _ b) -> decomposeEquality graph a b
+            _ -> graph
+
+    decomposeSubtype graph actual expected =
+        case (unFix actual, unFix expected) of
+            (TemplateF _, TemplateF _) ->
+                addEdge (addEdge graph actual expected) expected actual
+            (TemplateF _, _) -> addEdge graph actual expected
+            (_, TemplateF _) -> addEdge graph expected actual
+            (PointerF a, PointerF b) -> decomposeSubtype graph a b
+            (ArrayF (Just a) _, ArrayF (Just b) _) -> decomposeSubtype graph a b
+            (FunctionF r1 p1, FunctionF r2 p2) | length p1 == length p2 ->
+                let gRet = decomposeSubtype graph r1 r2
+                -- Contravariant parameters: expected <: actual for parameters
+                in foldl' (\g (pActual, pExpected) -> decomposeSubtype g pExpected pActual) gRet (zip p1 p2)
+            (QualifiedF qs1 a, QualifiedF qs2 b) ->
+                if subtypeQuals qs1 qs2 then decomposeSubtype graph a b else graph
+            (VarF _ a, VarF _ b) -> decomposeSubtype graph a b
+            -- Peeling wrappers
+            (QualifiedF qs a, b) ->
+                if subtypeQuals qs Set.empty then decomposeSubtype graph a (Fix b) else graph
+            (a, QualifiedF es b) ->
+                if subtypeQuals Set.empty es then decomposeSubtype graph (Fix a) b else graph
+            _ -> graph
+
+    decomposeEqualityG graph g1 g2 =
+        let t1 = TG.toTypeInfo g1
+            t2 = TG.toTypeInfo g2
+        in case (unFix t1, unFix t2) of
+            (TemplateF _, TemplateF _) ->
+                addEdgeG (addEdgeG graph t1 g2) t2 g1
+            (TemplateF _, _) -> addEdgeG graph t1 g2
+            (_, TemplateF _) -> addEdgeG graph t2 g1
+            (PointerF a, PointerF b) -> decomposeEqualityG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            (ArrayF (Just a) _, ArrayF (Just b) _) -> decomposeEqualityG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            (FunctionF r1 p1, FunctionF r2 p2) | length p1 == length p2 ->
+                let gRet = decomposeEqualityG graph (TG.fromTypeInfo r1) (TG.fromTypeInfo r2)
+                in foldl' (\g (pp1, pp2) -> decomposeEqualityG g (TG.fromTypeInfo pp1) (TG.fromTypeInfo pp2)) gRet (zip p1 p2)
+            (QualifiedF qs1 a, QualifiedF qs2 b) | qs1 == qs2 -> decomposeEqualityG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            (VarF _ a, VarF _ b) -> decomposeEqualityG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            _ -> graph
+
+    decomposeSubtypeG graph g1 g2 =
+        let t1 = TG.toTypeInfo g1
+            t2 = TG.toTypeInfo g2
+        in case (unFix t1, unFix t2) of
+            (TemplateF _, TemplateF _) ->
+                addEdgeG (addEdgeG graph t1 g2) t2 g1
+            (TemplateF _, _) -> addEdgeG graph t1 g2
+            (_, TemplateF _) -> addEdgeG graph t2 g1
+            (PointerF a, PointerF b) -> decomposeSubtypeG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            (ArrayF (Just a) _, ArrayF (Just b) _) -> decomposeSubtypeG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            (FunctionF r1 p1, FunctionF r2 p2) | length p1 == length p2 ->
+                let gRet = decomposeSubtypeG graph (TG.fromTypeInfo r1) (TG.fromTypeInfo r2)
+                -- Contravariant parameters: expected <: actual for parameters
+                in foldl' (\g (pActual, pExpected) -> decomposeSubtypeG g (TG.fromTypeInfo pExpected) (TG.fromTypeInfo pActual)) gRet (zip p1 p2)
+            (QualifiedF qs1 a, QualifiedF qs2 b) ->
+                if subtypeQuals qs1 qs2 then decomposeSubtypeG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b) else graph
+            (VarF _ a, VarF _ b) -> decomposeSubtypeG graph (TG.fromTypeInfo a) (TG.fromTypeInfo b)
+            -- Peeling wrappers
+            (QualifiedF qs a, _) ->
+                if subtypeQuals qs Set.empty then decomposeSubtypeG graph (TG.fromTypeInfo a) g2 else graph
+            (_, QualifiedF es b) ->
+                if subtypeQuals Set.empty es then decomposeSubtypeG graph g1 (TG.fromTypeInfo b) else graph
+            _ -> graph
+
+    addEdge graph (Fix (TemplateF ft)) val =
+        let res = if ft `elem` TS.collectUniqueTemplateVars [val]
+                  then Map.insertWith Set.union ft (Set.singleton (TS.Unsupported "recursive type")) graph
+                  else Map.insertWith Set.union ft (Set.singleton val) graph
+        in dtrace ("addEdge " ++ show ft ++ " -> " ++ show val) res
+    addEdge graph _ _ = graph
+
+    addEdgeG graph (Fix (TemplateF ft)) valG =
+        let res = if ft `elem` TS.collectUniqueTemplateVars [TG.toTypeInfo valG]
+                  then Map.insertWith Set.union ft (Set.singleton (TG.fromTypeInfo (TS.Unsupported "recursive type"))) graph
+                  else Map.insertWith Set.union ft (Set.singleton valG) graph
+        in dtrace ("addEdgeG " ++ show ft ++ " -> " ++ show (TG.toTypeInfo valG)) res
+    addEdgeG graph _ _ = graph
+
+applyBindingsG :: Map (FullTemplate 'Local) (TG.TypeGraph 'Local) -> TypeInfo 'Local -> TG.TypeGraph 'Local
+applyBindingsG bindings ty =
+    let g = TG.fromTypeInfo ty
+        vars = TS.collectUniqueTemplateVars [ty]
+    in foldl (\acc v -> case Map.lookup v bindings of
+                            Just vG | not (isUnconstrainedG vG) -> TG.minimizeGraph $ TG.substitute v vG acc
+                            _ -> acc) g vars
+  where
+    isUnconstrainedG gRes = case TG.getNode (TG.tgRoot gRes) gRes of
+        RSpecial SUnconstrained -> True
+        _                       -> False
+
+isTemplate :: TypeInfo p -> Bool
+isTemplate (Fix (TemplateF _)) = True
+isTemplate _                   = False
+
+refreshTemplates :: Set Integer -> Maybe Integer -> TypeInfo 'Local -> Map (FullTemplate 'Local) (TypeInfo 'Local) -> TypeInfo 'Local
+refreshTemplates activePhases mCsId ty bindings =
+    case mCsId of
+        Just csId -> foldFix (alg csId) ty
+        Nothing   -> ty
+  where
+    alg :: Integer -> TypeInfoF (TemplateId 'Local) (TypeInfo 'Local) -> TypeInfo 'Local
+    alg csId f = case f of
+        TemplateF (FullTemplate tid mIdx) ->
+            case tid of
+                TIdPoly ph idx h _ | not (Set.member ph activePhases) ->
+                    -- Use current binding for the template if it exists
+                    let current = applyBindings bindings (Fix f)
+                    in if not (isTemplate current || current == TS.Unconstrained)
+                       then current
+                       else Template (TIdInst csId (TS.TIdParam idx h)) mIdx
+                _ -> Fix f
+        _ -> Fix f
+
+applyBindings :: Map (FullTemplate 'Local) (TypeInfo 'Local) -> TypeInfo 'Local -> TypeInfo 'Local
+applyBindings bindings ty = go Set.empty ty
+  where
+    go seen t = case unFix t of
+        TemplateF ft ->
+            if Set.member ft seen
+            then t
+            else case Map.lookup ft bindings of
+                Just TS.Unconstrained -> t
+                Just ty'              -> go (Set.insert ft seen) ty'
+                Nothing               -> t
+        f -> Fix $ fmap (go seen) f
+
+-- | Verifies that all constraints are satisfied by the given bindings.
+-- Returns a list of errors for unsatisfied constraints.
+verifyConstraints :: TypeSystem -> Set Integer -> Map (FullTemplate 'Local) (TypeInfo 'Local) -> [Constraint 'Local] -> [ErrorInfo 'Local]
+verifyConstraints ts activePhases bindings constraints =
+    concatMap verify constraints
+  where
+    verify = \case
+        Equality t1 t2 ml ctx r ->
+            let v1 = applyBindings bindings t1
+                v2 = applyBindings bindings t2
+            in if v1 == v2
+               then []
+               else [ErrorInfo ml (InUnification v1 v2 r : ctx) (TypeMismatch v1 v2 r (Just (BaseMismatch v1 v2))) []]
+
+        Subtype actual expected ml ctx r ->
+            let vActual = applyBindings bindings actual
+                vExpected = applyBindings bindings expected
+            in if subtypeOf vActual vExpected
+               then []
+               else [ErrorInfo ml (InUnification vExpected vActual r : ctx) (TypeMismatch vExpected vActual r (Just (BaseMismatch vExpected vActual))) []]
+
+        MemberAccess base field memberTy ml ctx r ->
+            let vBase = stripAllWrappers $ applyBindings bindings base
+                vMemberTy = applyBindings bindings memberTy
+            in case vBase of
+                TS.TypeRef _ (C.L _ _ tid) args ->
+                    let name = TS.templateIdBaseName tid
+                    in case TS.lookupType name ts of
+                        Just descr ->
+                            let descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) args)) descr
+                            in case TS.lookupMemberType field descr' of
+                                Just t ->
+                                    if subtypeOf t vMemberTy
+                                    then []
+                                    else [ErrorInfo ml ctx (TypeMismatch vMemberTy t r (Just (BaseMismatch vMemberTy t))) []]
+                                Nothing -> [ErrorInfo ml ctx (CustomError $ "member " <> field <> " not found in struct " <> name) []]
+                        Nothing -> [ErrorInfo ml ctx (CustomError $ "struct " <> name <> " not found") []]
+                _ -> [ErrorInfo ml ctx (TypeMismatch (BuiltinType TS.VoidTy) vBase r (Just (BaseMismatch (BuiltinType TS.VoidTy) vBase))) []]
+
+        Callable funcType argTypes returnType ml ctx mCsId shouldRefresh ->
+            let vFuncOrig = applyBindings bindings funcType
+                vFunc = if shouldRefresh
+                        then refreshTemplates activePhases mCsId vFuncOrig bindings
+                        else vFuncOrig
+            in dtrace ("verify Callable: vFunc=" ++ show vFunc) $ case resolveCallable ts bindings vFunc of
+                Just (ret, params) ->
+                    let vRet = applyBindings bindings ret
+                        vReturnType = applyBindings bindings returnType
+                        errRet = if subtypeOf vRet vReturnType
+                                 then []
+                                 else dtrace ("  Return mismatch: ret=" ++ show vRet ++ " returnType=" ++ show vReturnType) [ErrorInfo ml ctx (TypeMismatch vReturnType vRet GeneralMismatch (Just (BaseMismatch vReturnType vRet))) []]
+                        errArity =
+                            let isVariadic = any TS.isVarArg params
+                                fixedParams = filter (not . TS.isVarArg) params
+                                nFixed = length fixedParams
+                                nActual = length argTypes
+                            in if nActual < nFixed
+                               then [ErrorInfo ml ctx (TooFewArgs nFixed nActual) []]
+                               else if nActual > nFixed && not isVariadic
+                               then [ErrorInfo ml ctx (TooManyArgs nFixed nActual) []]
+                               else []
+                        errArgs = concat [ let vA = applyBindings bindings a
+                                               vP = applyBindings bindings p
+                                           in dtrace ("  Arg check: vA=" ++ show vA ++ " vP=" ++ show vP) $ if TS.isVarArg vP || subtypeOf vA vP
+                                              then []
+                                              else dtrace "    Mismatch!" [ErrorInfo ml ctx (TypeMismatch vP vA GeneralMismatch (Just (BaseMismatch vP vA))) []]
+                                         | (p, a) <- zip params argTypes ]
+                    in errRet ++ errArity ++ errArgs
+                Nothing -> [ErrorInfo ml ctx (CallingNonFunction "expression" vFunc) []]
+
+        CoordinatedPair trigger actual expected ml ctx _mCsId ->
+            let vTrigger = applyBindings bindings trigger
+                isNonnull = \case
+                    TS.Nonnull _ -> True
+                    TS.Pointer _ -> True
+                    _ -> False
+            in if isNonnull vTrigger
+               then let vActual = applyBindings bindings actual
+                        vExpected = applyBindings bindings expected
+                    in if subtypeOf vActual vExpected
+                       then []
+                       else [ErrorInfo ml ctx (TypeMismatch vExpected vActual GeneralMismatch (Just (BaseMismatch vExpected vActual))) []]
+               else []
+
+        Lub t t_list ml ctx r ->
+            let vT = applyBindings bindings t
+                vTs = map (applyBindings bindings) t_list
+            in concat [ if subtypeOf vTi vT
+                        then []
+                        else [ErrorInfo ml (InUnification vT vTi r : ctx) (TypeMismatch vT vTi r (Just (BaseMismatch vT vTi))) []]
+                      | vTi <- vTs ]
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Substitution.hs b/src/Language/Cimple/Analysis/TypeSystem/Substitution.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Substitution.hs
@@ -0,0 +1,38 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.TypeSystem.Substitution
+    ( substituteType
+    , substituteDescr
+    , substituteTypeSystem
+    ) where
+
+import           Data.Fix                            (Fix (..), foldFix)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Maybe                          (fromMaybe)
+import           Data.Text                           (Text)
+import           Language.Cimple.Analysis.TypeSystem (FullTemplate,
+                                                      TypeDescr (..), TypeInfo,
+                                                      TypeInfoF (..))
+
+-- | Replaces all Template nodes in a TypeInfo with their bound values.
+substituteType :: Map (FullTemplate p) (TypeInfo p) -> TypeInfo p -> TypeInfo p
+substituteType bindings = foldFix $ \case
+    TemplateF ft -> fromMaybe (Fix (TemplateF ft)) (Map.lookup ft bindings)
+    f            -> Fix f
+
+-- | Applies substitution to a TypeDescr.
+substituteDescr :: Map (FullTemplate p) (TypeInfo p) -> TypeDescr p -> TypeDescr p
+substituteDescr bindings = \case
+    StructDescr l ts mems -> StructDescr l ts (map (fmap (substituteType bindings)) mems)
+    UnionDescr l ts mems  -> UnionDescr l ts (map (fmap (substituteType bindings)) mems)
+    EnumDescr l tys       -> EnumDescr l (map (substituteType bindings) tys)
+    IntDescr l t          -> IntDescr l t
+    FuncDescr l ts r ps   -> FuncDescr l ts (substituteType bindings r) (map (substituteType bindings) ps)
+    AliasDescr l ts t     -> AliasDescr l ts (substituteType bindings t)
+
+-- | Applies substitution to an entire TypeSystem.
+-- Note: This assumes the bindings and TypeSystem are in the same Phase (usually Global for the final result).
+substituteTypeSystem :: Map (FullTemplate p) (TypeInfo p) -> Map Text (TypeDescr p) -> Map Text (TypeDescr p)
+substituteTypeSystem bindings = Map.map (substituteDescr bindings)
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Transition.hs b/src/Language/Cimple/Analysis/TypeSystem/Transition.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Transition.hs
@@ -0,0 +1,516 @@
+{-# LANGUAGE DeriveFoldable    #-}
+{-# LANGUAGE DeriveFunctor     #-}
+{-# LANGUAGE DeriveGeneric     #-}
+{-# LANGUAGE DeriveTraversable #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE RecordWildCards   #-}
+module Language.Cimple.Analysis.TypeSystem.Transition
+    ( Polarity (..)
+    , ProductState (..)
+    , RigidNodeF (..)
+    , ValueStructure (..)
+    , SpecialNode (..)
+    , stepTransition
+    , toRigid
+    , fromRigid
+    ) where
+
+import           Data.Fix                                          (Fix (..))
+import           Data.Functor                                      (void)
+import           Data.Set                                          (Set)
+import qualified Data.Set                                          as Set
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as Text
+import qualified Debug.Trace                                       as Debug
+import           GHC.Generics                                      (Generic)
+import           Language.Cimple                                   (Lexeme (..))
+import           Language.Cimple.Analysis.TypeSystem               (FlatType (..),
+                                                                    FullTemplateF (..),
+                                                                    Qualifier (..),
+                                                                    StdType (..),
+                                                                    TemplateId (..),
+                                                                    TypeInfo,
+                                                                    TypeInfoF (..),
+                                                                    TypeRef (..),
+                                                                    isInt,
+                                                                    toFlat)
+import           Language.Cimple.Analysis.TypeSystem.Qualification (Constness (..),
+                                                                    Nullability (..),
+                                                                    Ownership (..),
+                                                                    QualState (..),
+                                                                    allowCovariance,
+                                                                    fromQuals,
+                                                                    stepQual,
+                                                                    toQuals)
+import           Test.QuickCheck                                   (Arbitrary (..),
+                                                                    arbitraryBoundedEnum,
+                                                                    genericShrink,
+                                                                    oneof)
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+-- | Polarity of the lattice operation (Join/Upper Bound or Meet/Lower Bound).
+data Polarity = PJoin | PMeet deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+-- | The state of the product automaton.
+data ProductState = ProductState
+    { psPolarity   :: Polarity
+    , psQualL      :: QualState
+    , psQualR      :: QualState
+    , psForceConst :: Bool
+    } deriving (Show, Eq, Ord, Generic)
+
+-- | A canonicalized type node with attributes.
+-- Enforces correct-by-construction property: attributes only where valid.
+data RigidNodeF tid a
+    = RFunction a [a] Constness (Maybe (Lexeme tid)) -- Ret type 'a' must not be another RFunction
+    | RValue (ValueStructure tid a) Constness (Maybe (Lexeme tid))
+    | RSpecial SpecialNode
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+data ValueStructure tid a
+    = VBuiltin StdType
+    | VPointer a Nullability Ownership
+    | VTemplate (FullTemplateF tid a) Nullability Ownership
+    | VTypeRef TypeRef (Lexeme tid) [a]
+    | VArray (Maybe a) [a]
+    | VSingleton StdType Integer
+    | VExternal (Lexeme tid)
+    | VIntLit (Lexeme tid)
+    | VNameLit (Lexeme tid)
+    | VEnumMem (Lexeme tid)
+    | VVarArg
+    deriving (Show, Eq, Ord, Generic, Functor, Foldable, Traversable)
+
+data SpecialNode = SUnconstrained | SConflict
+    deriving (Show, Eq, Ord, Generic, Bounded, Enum)
+
+instance Arbitrary Polarity where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+instance Arbitrary ProductState where
+    arbitrary = ProductState <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary
+    shrink = genericShrink
+
+instance Arbitrary SpecialNode where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+instance (Arbitrary tid, Arbitrary a) => Arbitrary (RigidNodeF tid a) where
+    arbitrary = oneof
+        [ RFunction <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary
+        , RValue <$> arbitrary <*> arbitrary <*> arbitrary
+        , RSpecial <$> arbitrary
+        ]
+    shrink = genericShrink
+
+instance (Arbitrary tid, Arbitrary a) => Arbitrary (ValueStructure tid a) where
+    arbitrary = oneof
+        [ VBuiltin <$> arbitrary
+        , VPointer <$> arbitrary <*> arbitrary <*> arbitrary
+        , VTemplate <$> arbitrary <*> arbitrary <*> arbitrary
+        , VTypeRef <$> arbitrary <*> arbitrary <*> arbitrary
+        , VArray <$> arbitrary <*> arbitrary
+        , VSingleton <$> arbitrary <*> arbitrary
+        , VExternal <$> arbitrary
+        , VIntLit <$> arbitrary
+        , VNameLit <$> arbitrary
+        , VEnumMem <$> arbitrary
+        ]
+    shrink = genericShrink
+
+
+-- | Projects a TypeInfo into its RigidNode form (one level).
+toRigid :: TypeInfo p -> Maybe (RigidNodeF (TemplateId p) (TypeInfo p))
+toRigid ty =
+    let FlatType structure quals size = toFlat ty
+        (nullability, ownership, constness) = toQuals quals
+    in case structure of
+        UnconstrainedF -> Just $ RSpecial SUnconstrained
+        ConflictF      -> Just $ RSpecial SConflict
+        FunctionF r ps -> Just $ RFunction r ps constness size
+        UnsupportedF _ -> Just $ RSpecial SConflict
+        _ -> RValue <$> toValueStructure structure nullability ownership <*> pure constness <*> pure size
+
+toValueStructure :: TypeInfoF tid a -> Nullability -> Ownership -> Maybe (ValueStructure tid a)
+toValueStructure structure n o = case structure of
+    TypeRefF r l args -> Just $ VTypeRef r l args
+    PointerF a        -> Just $ VPointer a n o
+    BuiltinTypeF s    -> Just $ VBuiltin s
+    ExternalTypeF l   -> Just $ VExternal l
+    ArrayF m ds       -> Just $ VArray m ds
+    TemplateF ft      -> Just $ VTemplate ft n o
+    SingletonF s i    -> Just $ VSingleton s i
+    IntLitF l         -> Just $ VIntLit l
+    NameLitF l        -> Just $ VNameLit l
+    EnumMemF l        -> Just $ VEnumMem l
+    VarArgF           -> Just $ VVarArg
+    _                 -> Nothing
+
+-- | Reconstructs a TypeInfo from a RigidNode.
+fromRigid :: (a -> TypeInfo p) -> RigidNodeF (TemplateId p) a -> TypeInfo p
+fromRigid f = \case
+    RFunction r ps c s -> fromValueNode' f r ps c s
+    RValue v c s   -> fromValueNode f v c s
+    RSpecial s     -> fromSpecialNode s
+
+fromValueNode' :: (a -> TypeInfo p) -> a -> [a] -> Constness -> Maybe (Lexeme (TemplateId p)) -> TypeInfo p
+fromValueNode' f r ps c s =
+    let base = Fix (FunctionF (f r) (map f ps))
+        qs = fromQuals QUnspecified QNonOwned' c
+        withQuals = if Set.null qs then base else Fix (QualifiedF qs base)
+    in maybe withQuals (Fix . SizedF withQuals) s
+
+fromValueNode :: (a -> TypeInfo p) -> ValueStructure (TemplateId p) a -> Constness -> Maybe (Lexeme (TemplateId p)) -> TypeInfo p
+fromValueNode f v c s =
+    let (base, n, o) = fromValueStructure f v
+        qs = fromQuals n o c
+        withQuals = if Set.null qs then base else Fix (QualifiedF qs base)
+    in maybe withQuals (Fix . SizedF withQuals) s
+
+fromValueStructure :: (a -> TypeInfo p) -> ValueStructure (TemplateId p) a -> (TypeInfo p, Nullability, Ownership)
+fromValueStructure f = \case
+    VBuiltin s       -> (Fix (BuiltinTypeF s), QUnspecified, QNonOwned')
+    VPointer a n o   -> (Fix (PointerF (f a)), n, o)
+    VTemplate ft n o -> (Fix (TemplateF (fmap f ft)), n, o)
+    VTypeRef r l as  -> (Fix (TypeRefF r l (map f as)), QUnspecified, QNonOwned')
+    VArray m ds      -> (Fix (ArrayF (fmap f m) (map f ds)), QUnspecified, QNonOwned')
+    VSingleton s i   -> (Fix (SingletonF s i), QUnspecified, QNonOwned')
+    VExternal l      -> (Fix (ExternalTypeF l), QUnspecified, QNonOwned')
+    VIntLit l        -> (Fix (IntLitF l), QUnspecified, QNonOwned')
+    VNameLit l       -> (Fix (NameLitF l), QUnspecified, QNonOwned')
+    VEnumMem l       -> (Fix (EnumMemF l), QUnspecified, QNonOwned')
+    VVarArg          -> (Fix VarArgF, QUnspecified, QNonOwned')
+
+fromSpecialNode :: SpecialNode -> TypeInfo p
+fromSpecialNode = \case
+    SUnconstrained -> Fix UnconstrainedF
+    SConflict      -> Fix ConflictF
+-- | The core transition function for the product automaton.
+stepTransition :: (Eq a, Show a)
+               => ProductState
+               -> (a -> Maybe (RigidNodeF (TemplateId p) a)) -- ^ Rigid node lookup
+               -> (a -> (Nullability, Ownership, Constness)) -- ^ Lookup quals for children
+               -> (a, a) -- ^ (bot, top)
+               -> RigidNodeF (TemplateId p) a
+               -> RigidNodeF (TemplateId p) a
+               -> RigidNodeF (TemplateId p) (a, a, ProductState)
+stepTransition ps lookupNode getQuals terminals nL nR =
+    let res = step ps lookupNode getQuals terminals nL nR
+    in dtrace ("stepTransition: ps=" ++ show ps ++ " nL=" ++ show (void nL) ++ " nR=" ++ show (void nR) ++ " -> res=" ++ show (void res)) res
+
+step :: (Eq a, Show a)
+     => ProductState
+     -> (a -> Maybe (RigidNodeF (TemplateId p) a))
+     -> (a -> (Nullability, Ownership, Constness))
+     -> (a, a)
+     -> RigidNodeF (TemplateId p) a
+     -> RigidNodeF (TemplateId p) a
+     -> RigidNodeF (TemplateId p) (a, a, ProductState)
+step ps@ProductState{..} lookupNode getQuals terminals nL nR =
+    case (nL, nR) of
+        -- 1. Atomic Merge (Units and Zeros)
+        (RSpecial SUnconstrained, _) -> case psPolarity of
+            PJoin -> fmap (\r -> (fst terminals, r, ps { psQualL = QualTop })) nR
+            PMeet -> RSpecial SUnconstrained
+        (_, RSpecial SUnconstrained) -> case psPolarity of
+            PJoin -> fmap (\l -> (l, fst terminals, ps { psQualR = QualTop })) nL
+            PMeet -> RSpecial SUnconstrained
+
+        (RSpecial SConflict, _) -> case psPolarity of
+            PJoin -> RSpecial SConflict
+            PMeet -> fmap (\r -> (snd terminals, r, ps { psQualL = QualTop })) nR
+        (_, RSpecial SConflict) -> case psPolarity of
+            PJoin -> RSpecial SConflict
+            PMeet -> fmap (\l -> (l, snd terminals, ps { psQualR = QualTop })) nL
+
+        -- 2. Value vs Value
+        (RValue vL cL sL, RValue vR cR sR) ->
+            case stepValueStructure ps lookupNode getQuals terminals cL cR vL vR of
+                Just (resV, _, _) ->
+                    let resC = case psPolarity of
+                            PJoin -> max cL cR
+                            PMeet -> min cL cR
+                        resC' = if psForceConst then QConst' else resC
+                        resS = if sL == sR then sL else Nothing
+
+                        invariance = not (psForceConst || (allowCovariance psQualL && allowCovariance psQualR))
+                        isLevel1 = case psQualL of { QualLevel1Const -> True; QualLevel1Mutable -> True; _ -> False }
+                                || case psQualR of { QualLevel1Const -> True; QualLevel1Mutable -> True; _ -> False }
+                        qualConflict = invariance && not isLevel1 && cL /= cR
+                    in if qualConflict then zero ps
+                       else RValue resV resC' resS
+                Nothing -> stepMismatched ps lookupNode getQuals terminals cL cR nL nR
+        -- 3. Function vs Function
+        (RFunction rL pL cL sL, RFunction rR pR cR sR) ->
+            if length pL /= length pR then zero ps
+            else
+                let resC = case psPolarity of
+                        PJoin -> max cL cR
+                        PMeet -> min cL cR
+                    resC' = if psForceConst then QConst' else resC
+                    resS = if sL == sR then sL else Nothing
+
+                    invariance = not (psForceConst || (allowCovariance psQualL && allowCovariance psQualR))
+                    qualConflict = invariance && cL /= cR
+
+                    psRes = ps { psQualL = QualTop, psQualR = QualTop, psForceConst = False }
+                    psContra = psRes { psPolarity = flipPol psPolarity }
+                in if qualConflict then zero ps
+                   else RFunction (rL, rR, psRes) (zipWith (\l r -> (l, r, psContra)) pL pR) resC' resS
+
+        -- 4. Mismatched constructors (Cross-joins, etc.)
+        (sL, sR) -> stepMismatched ps lookupNode getQuals terminals QMutable' QMutable' sL sR
+
+stepMismatched :: (Eq a, Show a)
+               => ProductState
+               -> (a -> Maybe (RigidNodeF (TemplateId p) a))
+               -> (a -> (Nullability, Ownership, Constness))
+               -> (a, a)
+               -> Constness -> Constness
+               -> RigidNodeF (TemplateId p) a
+               -> RigidNodeF (TemplateId p) a
+               -> RigidNodeF (TemplateId p) (a, a, ProductState)
+stepMismatched ps@ProductState{..} lookupNode _ terminals@(bot, _) cL cR nL nR =
+    let invariance = not (psForceConst || (allowCovariance psQualL && allowCovariance psQualR))
+        isLevel1 = case psQualL of { QualLevel1Const -> True; QualLevel1Mutable -> True; _ -> False }
+                || case psQualR of { QualLevel1Const -> True; QualLevel1Mutable -> True; _ -> False }
+        qualConflict = invariance && not isLevel1 && cL /= cR
+    in case (nL, nR) of
+        (RValue (VPointer tL nullL oL) _ sL, RValue (VArray (Just tR) dsR) _ sR) ->
+            let (resState, canJoin) = getTargetState ps lookupNode terminals cL cR tL tR
+                resN = case psPolarity of { PJoin -> max nullL QUnspecified; PMeet -> min nullL QUnspecified }
+                resO = case psPolarity of { PJoin -> max oL QNonOwned'; PMeet -> min oL QNonOwned' }
+                resC = case psPolarity of { PJoin -> max cL cR; PMeet -> min cL cR }
+                resC' = if psForceConst then QConst' else resC
+                resS = if sL == sR then sL else Nothing
+            in if canJoin && not qualConflict then case psPolarity of
+                PJoin -> RValue (VPointer (tL, tR, resState) resN resO) resC' resS
+                PMeet -> RValue (VArray (Just (tL, tR, resState)) (map (\r -> (bot, r, ps { psQualL = QualTop, psQualR = QualTop })) dsR)) resC' resS
+            else zero ps
+        (RValue (VArray (Just tL) dsL) _ sL, RValue (VPointer tR nullR oR) _ sR) ->
+            let (resState, canJoin) = getTargetState ps lookupNode terminals cL cR tL tR
+                resN = case psPolarity of { PJoin -> max QUnspecified nullR; PMeet -> min QUnspecified nullR }
+                resO = case psPolarity of { PJoin -> max QNonOwned' oR; PMeet -> min QNonOwned' oR }
+                resC = case psPolarity of { PJoin -> max cL cR; PMeet -> min cL cR }
+                resC' = if psForceConst then QConst' else resC
+                resS = if sL == sR then sL else Nothing
+            in if canJoin && not qualConflict then case psPolarity of
+                PJoin -> RValue (VPointer (tL, tR, resState) resN resO) resC' resS
+                PMeet -> RValue (VArray (Just (tL, tR, resState)) (map (\l -> (l, bot, ps { psQualL = QualTop, psQualR = QualTop })) dsL)) resC' resS
+            else zero ps
+
+        -- nullptr_t vs Pointer/Array
+        (RValue vL _ _, RValue (VPointer tR nullR oR) _ _) | isNull vL ->
+            case psPolarity of
+                PJoin -> if invariance && not isLevel1 then zero ps
+                         else let (resState, _) = getTargetState ps lookupNode terminals cL cR bot tR
+                              in RValue (VPointer (bot, tR, resState) nullR oR) cR Nothing
+                PMeet -> if invariance && not isLevel1 then zero ps
+                         else RValue (fmap (\x -> (x, x, ps)) vL) cL Nothing
+        (RValue (VPointer tL nullL oL) _ _, RValue vR _ _) | isNull vR ->
+            case psPolarity of
+                PJoin -> if invariance && not isLevel1 then zero ps
+                         else let (resState, _) = getTargetState ps lookupNode terminals cL cR tL bot
+                              in RValue (VPointer (tL, bot, resState) nullL oL) cL Nothing
+                PMeet -> if invariance && not isLevel1 then zero ps
+                         else RValue (fmap (\x -> (x, x, ps)) vR) cR Nothing
+
+        (RValue vL _ _, RValue (VArray (Just tR) dsR) _ _) | isNull vL ->
+            case psPolarity of
+                PJoin -> if invariance && not isLevel1 then zero ps
+                         else let (resState, _) = getTargetState ps lookupNode terminals cL cR bot tR
+                              in RValue (VArray (Just (bot, tR, resState)) (map (\r -> (bot, r, ps { psQualL = QualTop, psQualR = QualTop })) dsR)) cR Nothing
+                PMeet -> if invariance && not isLevel1 then zero ps
+                         else RValue (fmap (\x -> (x, x, ps)) vL) cL Nothing
+        (RValue (VArray (Just tL) dsL) _ _, RValue vR _ _) | isNull vR ->
+            case psPolarity of
+                PJoin -> if invariance && not isLevel1 then zero ps
+                         else let (resState, _) = getTargetState ps lookupNode terminals cL cR tL bot
+                              in RValue (VArray (Just (tL, bot, resState)) (map (\l -> (l, bot, ps { psQualL = QualTop, psQualR = QualTop })) dsL)) cL Nothing
+                PMeet -> if invariance && not isLevel1 then zero ps
+                         else RValue (fmap (\x -> (x, x, ps)) vR) cR Nothing
+
+        _ -> zero ps
+
+isNull :: ValueStructure tid a -> Bool
+isNull (VBuiltin NullPtrTy)     = True
+isNull (VSingleton NullPtrTy _) = True
+isNull _                        = False
+
+stepValueStructure :: (Eq a, Show a)
+                  => ProductState
+                  -> (a -> Maybe (RigidNodeF (TemplateId p) a))
+                  -> (a -> (Nullability, Ownership, Constness))
+                  -> (a, a)
+                  -> Constness -> Constness
+                  -> ValueStructure (TemplateId p) a
+                  -> ValueStructure (TemplateId p) a
+                  -> Maybe (ValueStructure (TemplateId p) (a, a, ProductState), Nullability, Ownership)
+stepValueStructure ps lookupNode getQuals terminals@(_, top) cL cR sL sR =
+    case (sL, sR) of
+        (VBuiltin b1, VBuiltin b2)
+            | b1 == b2 -> Just (VBuiltin b1, QUnspecified, QNonOwned')
+            | isInt b1 && isInt b2 ->
+                let m = case psPolarity ps of
+                             PJoin -> if b1 > b2 then b1 else b2
+                             PMeet -> if b1 < b2 then b1 else b2
+                    invariance = not (psForceConst ps || (allowCovariance (psQualL ps) && allowCovariance (psQualR ps)))
+                in if invariance && (b1 /= b2) then Nothing
+                   else Just (VBuiltin m, QUnspecified, QNonOwned')
+
+        (VSingleton b2 v2, VBuiltin b1) -> mergeSingleton ps getQuals b2 v2 b1
+        (VBuiltin b1, VSingleton b2 v2) ->
+            case mergeSingleton ps { psQualL = psQualR ps, psQualR = psQualL ps } getQuals b2 v2 b1 of
+                Just (res, n, o) -> Just (fmap (\(r', l', p) -> (l', r', p { psQualL = psQualR p, psQualR = psQualL p })) res, n, o)
+                Nothing -> Nothing
+
+        (VSingleton b1 v1, VSingleton b2 v2)
+            | b1 == b2 && v1 == v2 -> Just (VSingleton b1 v1, QUnspecified, QNonOwned')
+            | isInt b1 && isInt b2 ->
+                let invariance = not (psForceConst ps || (allowCovariance (psQualL ps) && allowCovariance (psQualR ps)))
+                in case psPolarity ps of
+                    PJoin ->
+                        let m = if b1 > b2 then b1 else b2
+                        in if invariance && b1 /= b2 then Nothing
+                           else if v1 == v2 then Just (VSingleton m v1, QUnspecified, QNonOwned')
+                           else if invariance && b1 == b2 then Nothing
+                           else Just (VBuiltin m, QUnspecified, QNonOwned')
+                    PMeet ->
+                        if v1 == v2 then
+                            let m = if b1 < b2 then b1 else b2
+                            in if invariance && b1 /= b2 then Nothing
+                               else Just (VSingleton m v1, QUnspecified, QNonOwned')
+                        else Nothing
+            | psPolarity ps == PJoin && b1 == b2 ->
+                let invariance = not (psForceConst ps || (allowCovariance (psQualL ps) && allowCovariance (psQualR ps)))
+                in if invariance && b1 /= NullPtrTy then Nothing
+                   else Just (VBuiltin b1, QUnspecified, QNonOwned')
+            | otherwise -> Nothing
+
+        (VPointer tL nL oL, VPointer tR nR oR) ->
+            let (resState, canJoin) = getTargetState ps lookupNode terminals cL cR tL tR
+                resN = case psPolarity ps of { PJoin -> max nL nR; PMeet -> min nL nR }
+                resO = case psPolarity ps of { PJoin -> max oL oR; PMeet -> min oL oR }
+            in if canJoin then Just (VPointer (tL, tR, resState) resN resO, QUnspecified, QNonOwned')
+               else Nothing
+
+        (VArray (Just tL) dsL, VArray (Just tR) dsR) ->
+            let (resState, canJoin) = getTargetState ps lookupNode terminals cL cR tL tR
+            in if not canJoin then Nothing
+               else case psPolarity ps of
+                PJoin ->
+                    let resDs = if length dsL == length dsR
+                                     then zipWith (\l r -> (l, r, ps { psQualL = QualTop, psQualR = QualTop })) dsL dsR
+                                     else []
+                    in Just (VArray (Just (tL, tR, resState)) resDs, QUnspecified, QNonOwned')
+                PMeet ->
+                    let resDs = if null dsL then map (\r -> (top, r, ps { psQualL = QualTop, psQualR = QualTop })) dsR
+                                else if null dsR then map (\l -> (l, top, ps { psQualL = QualTop, psQualR = QualTop })) dsL
+                                else if length dsL == length dsR
+                                then zipWith (\l r -> (l, r, ps { psQualL = QualTop, psQualR = QualTop })) dsL dsR
+                                else []
+                    in if null dsL || null dsR || length dsL == length dsR
+                       then Just (VArray (Just (tL, tR, resState)) resDs, QUnspecified, QNonOwned')
+                       else Nothing
+
+        (l, r) | void l == void r ->
+            Just (fmap (\(a, b) -> (a, b, ps { psForceConst = False })) (zipValueStructures l r), QUnspecified, QNonOwned')
+
+        _ -> Nothing
+
+mergeSingleton :: ProductState
+               -> (a -> (Nullability, Ownership, Constness))
+               -> StdType -> Integer -> StdType
+               -> Maybe (ValueStructure tid (a, a, ProductState), Nullability, Ownership)
+mergeSingleton ProductState{..} _ b1 v1 b2 =
+    if b1 == b2 || (isInt b1 && isInt b2)
+    then case psPolarity of
+        PJoin ->
+            let m = if b1 > b2 then b1 else b2
+                invariance = not (psForceConst || (allowCovariance psQualL && allowCovariance psQualR))
+                isIdentityWidening = b1 == NullPtrTy && b2 == NullPtrTy
+            in if invariance && not isIdentityWidening then Nothing else Just (VBuiltin m, QUnspecified, QNonOwned')
+        PMeet ->
+            let m = if b1 < b2 then b1 else b2
+                isIdentityNarrowing = b1 == NullPtrTy && b2 == NullPtrTy
+                invariance = not (allowCovariance psQualR) && not isIdentityNarrowing
+            in if invariance && b1 /= b2 then Nothing else Just (VSingleton m v1, QUnspecified, QNonOwned')
+    else Nothing
+
+zipValueStructures :: ValueStructure tid a -> ValueStructure tid b -> ValueStructure tid (a, b)
+zipValueStructures (VBuiltin s) (VBuiltin _) = VBuiltin s
+zipValueStructures (VPointer a n o) (VPointer b _ _) = VPointer (a, b) n o
+zipValueStructures (VTemplate ft n o) (VTemplate ft2 _ _) = VTemplate (zipFT ft ft2) n o
+zipValueStructures (VTypeRef r l as1) (VTypeRef _ _ as2) = VTypeRef r l (zip as1 as2)
+zipValueStructures (VArray m1 ds1) (VArray m2 ds2) = VArray (zipWithMaybe (,) m1 m2) (zip ds1 ds2)
+zipValueStructures (VSingleton s i) (VSingleton _ _) = VSingleton s i
+zipValueStructures (VExternal l) (VExternal _) = VExternal l
+zipValueStructures (VIntLit l) (VIntLit _) = VIntLit l
+zipValueStructures (VNameLit l) (VNameLit _) = VNameLit l
+zipValueStructures (VEnumMem l) (VEnumMem _) = VEnumMem l
+zipValueStructures VVarArg VVarArg = VVarArg
+zipValueStructures _ _ = error "zipValueStructures: mismatch"
+
+zipFT :: FullTemplateF tid a -> FullTemplateF tid b -> FullTemplateF tid (a, b)
+zipFT (FT tid i1) (FT _ i2) = FT tid (zipWithMaybe (,) i1 i2)
+
+zipWithMaybe :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c
+zipWithMaybe f (Just a) (Just b) = Just (f a b)
+zipWithMaybe _ _ _               = Nothing
+
+flipPol :: Polarity -> Polarity
+flipPol PJoin = PMeet
+flipPol PMeet = PJoin
+
+
+zero :: ProductState -> RigidNodeF tid (a, b, ProductState)
+zero ps = case psPolarity ps of
+    PJoin -> RSpecial SConflict
+    PMeet -> RSpecial SUnconstrained
+
+getTargetState :: (Eq a, Show a)
+               => ProductState
+               -> (a -> Maybe (RigidNodeF tid a)) -- ^ Rigid node lookup
+               -> (a, a)
+               -> Constness -> Constness
+               -> a -> a
+               -> (ProductState, Bool)
+getTargetState ProductState{..} lookupNode (bot, top) cL cR tL tR =
+    let resC = case psPolarity of { PJoin -> max cL cR; PMeet -> min cL cR }
+        resC' = if psForceConst then QConst' else resC
+
+        nextL_base = stepQual psQualL (resC' == QConst')
+        nextR_base = stepQual psQualR (resC' == QConst')
+        invariance_base = not (allowCovariance nextL_base && allowCovariance nextR_base)
+
+        isIdentity t = t == bot || case lookupNode t of
+            Just (RValue (VPointer t' _ _) _ _)    -> isIdentity t'
+            Just (RValue (VArray (Just t') _) _ _) -> isIdentity t'
+            Just (RValue (VArray Nothing _) _ _)   -> True
+            Just (RSpecial SUnconstrained)         -> True
+            _                                      -> False
+
+        isTop t = t == top || case lookupNode t of
+            Just (RSpecial SConflict) -> True
+            _                         -> False
+
+        isIdL = case psPolarity of { PJoin -> isIdentity tL; PMeet -> isTop tL }
+        isIdR = case psPolarity of { PJoin -> isIdentity tR; PMeet -> isTop tR }
+
+        -- Sound LUB discovery: force const only if targets differ and we are in an invariant context.
+        -- Do not force if one side is the lattice identity.
+        forceConst = psPolarity == PJoin && not (tL == tR) && invariance_base && not (isIdL || isIdR)
+
+        nextL = if forceConst then stepQual psQualL True else nextL_base
+        nextR = if forceConst then stepQual psQualR True else nextR_base
+
+        canJoin = psPolarity == PMeet || tL == tR || allowCovariance nextL || allowCovariance nextR || forceConst || isIdL || isIdR
+    in (ProductState psPolarity nextL nextR forceConst, canJoin)
+
diff --git a/src/Language/Cimple/Analysis/TypeSystem/TypeGraph.hs b/src/Language/Cimple/Analysis/TypeSystem/TypeGraph.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/TypeGraph.hs
@@ -0,0 +1,299 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE DeriveGeneric       #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE RankNTypes          #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TupleSections       #-}
+
+{- |
+Module      : Language.Cimple.Analysis.TypeSystem.TypeGraph
+Description : Graph representation of equi-recursive C types.
+
+This module implements the "Rigorous, Total Type Solver" architectural vision.
+It represents C types as finite directed graphs of "Rigid Nodes".
+-}
+module Language.Cimple.Analysis.TypeSystem.TypeGraph
+    ( -- * Core Types
+      TypeGraph
+    , pattern TypeGraph
+    , NodeId
+    , Node
+    , Polarity (..)
+
+      -- * Conversion
+    , fromTypeInfo
+    , toTypeInfo
+
+      -- * Graph Operations
+    , productConstruction
+    , substitute
+    , lfp
+    , minimizeGraph
+    , normalizeGraph
+    , tgNodes
+    , tgRoot
+    , getNode
+    )
+where
+
+import           Control.Monad.State.Strict                        (get, modify,
+                                                                    put,
+                                                                    runState,
+                                                                    state)
+import           Data.Fix                                          (Fix (..))
+import           Data.IntMap.Strict                                (IntMap)
+import qualified Data.IntMap.Strict                                as IntMap
+import           Data.List                                         (elemIndex)
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import qualified Data.Text                                         as Text
+import           GHC.Generics                                      (Generic)
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.TypeSystem               (Phase (..), TemplateId (..),
+                                                                    TypeInfo)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import qualified Language.Cimple.Analysis.TypeSystem.GraphAlgebra  as GA
+import           Language.Cimple.Analysis.TypeSystem.Qualification (Constness (..),
+                                                                    Nullability (..),
+                                                                    Ownership (..),
+                                                                    QualState (..))
+import           Language.Cimple.Analysis.TypeSystem.Transition    (Polarity (..),
+                                                                    ProductState (..),
+                                                                    RigidNodeF (..),
+                                                                    SpecialNode (..),
+                                                                    ValueStructure (..),
+                                                                    fromRigid,
+                                                                    stepTransition,
+                                                                    toRigid)
+
+--------------------------------------------------------------------------------
+-- Core Types
+--------------------------------------------------------------------------------
+
+-- | Type for internal node identifiers in the graph.
+type NodeId = GA.NodeId
+
+-- | Internal representation of a type node where children are identified by ID.
+type Node p = RigidNodeF (TemplateId p) NodeId
+
+-- | A graph representation of an equi-recursive type.
+type TypeGraph p = GA.Graph (RigidNodeF (TemplateId p))
+
+-- | Pattern for deconstructing a TypeGraph into its node map and root ID.
+pattern TypeGraph :: IntMap (Node p) -> NodeId -> TypeGraph p
+pattern TypeGraph nodes root = GA.Graph nodes root
+{-# COMPLETE TypeGraph #-}
+
+tgNodes :: TypeGraph p -> IntMap (Node p)
+tgNodes = GA.gNodes
+
+tgRoot :: TypeGraph p -> NodeId
+tgRoot = GA.gRoot
+
+-- | Looks up a node in the graph, handling terminal NodeIds.
+getNode :: NodeId -> TypeGraph p -> Node p
+getNode i (TypeGraph nodes _)
+    | i == -1 = RSpecial SUnconstrained
+    | i == -2 = RSpecial SConflict
+    | otherwise = IntMap.findWithDefault (RSpecial SConflict) i nodes
+
+--------------------------------------------------------------------------------
+-- Conversion: Tree <-> Graph
+--------------------------------------------------------------------------------
+
+-- | Converts a 'TypeInfo' tree into a 'TypeGraph'.
+fromTypeInfo :: (Ord (TemplateId p)) => TypeInfo p -> TypeGraph p
+fromTypeInfo t =
+    let (rootId, (_, _, m)) = runState (go [] (TS.normalizeType t)) (0, Map.empty, IntMap.empty)
+    in TypeGraph m rootId
+  where
+    go stack ty = do
+        (nextId, treeToId, idToNode) <- get
+        case Map.lookup ty treeToId of
+            Just i -> return i
+            Nothing ->
+                let rigid = toRigid ty
+                in case rigid of
+                    Nothing -> return (-2) -- Fallback to Conflict for unsupported types
+                    Just r -> case r of
+                        RSpecial SUnconstrained -> return (-1)
+                        RSpecial SConflict      -> return (-2)
+                        RValue (VTemplate (TS.FullTemplate (TS.TIdRec i) Nothing) _ _) _ _
+                            | i >= 0 && i < length stack -> return (stack !! i)
+                        _ -> do
+                            let i = nextId
+                            put (nextId + 1, Map.insert ty i treeToId, idToNode)
+                            rigid' <- traverse (go (i:stack)) r
+                            modify $ \(nextId', treeToId', idToNode') ->
+                                (nextId', treeToId', IntMap.insert i rigid' idToNode')
+                            return i
+
+-- | Converts a 'TypeGraph' back into a 'TypeInfo' tree.
+toTypeInfo :: forall p. TypeGraph p -> TypeInfo p
+toTypeInfo (TypeGraph nodes root) = TS.normalizeType $ go [] root
+  where
+    go _ i | i == -1 = TS.Unconstrained
+    go _ i | i == -2 = TS.Conflict
+    go stack i = case elemIndex i stack of
+        Just depth -> TS.Template (TS.TIdRec depth) Nothing
+        Nothing ->
+            case IntMap.lookup i nodes of
+                Just node -> fromRigid (go (i:stack)) node
+                Nothing   -> Fix (TS.UnsupportedF $ Text.pack $ "graph corruption: missing node " ++ show i)
+
+--------------------------------------------------------------------------------
+-- Product Construction
+--------------------------------------------------------------------------------
+
+-- | Computes the Product Automaton of two graphs, handling variance.
+productConstruction :: forall p. (Ord (TemplateId p))
+                    => (Node p -> Bool) -- ^ Variables to treat as identities/zeros
+                    -> Polarity -> TypeGraph p -> TypeGraph p -> TypeGraph p
+productConstruction isVar startPol g1 g2 =
+    let structuredTerminals = IntMap.fromList [(-1, RSpecial SUnconstrained), (-2, RSpecial SConflict)]
+
+        (gMerged, r1, r2) = GA.merge structuredTerminals [] (minimizeGraph g1) (minimizeGraph g2)
+
+        allStates = [ ProductState pol qL qR fc
+                    | pol <- [PJoin, PMeet]
+                    , qL <- [QualTop, QualLevel1Const, QualLevel1Mutable, QualShielded, QualUnshielded]
+                    , qR <- [QualTop, QualLevel1Const, QualLevel1Mutable, QualShielded, QualUnshielded]
+                    , fc <- [True, False]
+                    ]
+
+        maybeIdentity pol nOther n =
+            let isId = case nOther of
+                    RSpecial SUnconstrained -> pol == PJoin
+                    RSpecial SConflict      -> pol == PMeet
+                    _                       -> False
+            in if isVar n && not isId
+               then case pol of
+                   PJoin -> RSpecial SUnconstrained
+                   PMeet -> RSpecial SConflict
+               else n
+
+        combineGA i j ps =
+            let n1Raw = getGNode i (GA.gNodes gMerged)
+                n2Raw = getGNode j (GA.gNodes gMerged)
+                n1 = maybeIdentity (psPolarity ps) n2Raw n1Raw
+                n2 = maybeIdentity (psPolarity ps) n1Raw n2Raw
+                lookupNode idx = Just $ getGNode idx (GA.gNodes gMerged)
+                getQuals idx = case getGNode idx (GA.gNodes gMerged) of
+                    RValue (VPointer _ n o) c _ -> (n, o, c)
+                    RValue (VTemplate _ n o) c _ -> (n, o, c)
+                    RValue _ c _ -> (QUnspecified, QNonOwned', c)
+                    _ -> (QUnspecified, QNonOwned', QMutable')
+            in stepTransition ps lookupNode getQuals (-1, -2) n1 n2
+
+        startState = ProductState startPol QualTop QualTop False
+        gRes = GA.universalProduct combineGA structuredTerminals [] allStates gMerged { GA.gRoot = r1 } gMerged { GA.gRoot = r2 } startState
+    in gRes
+  where
+    getGNode idx nodes
+        | idx == -1 = RSpecial SUnconstrained
+        | idx == -2 = RSpecial SConflict
+        | otherwise = IntMap.findWithDefault (RSpecial SConflict) idx nodes
+
+--------------------------------------------------------------------------------
+-- Symbolic Operations
+--------------------------------------------------------------------------------
+
+-- | Substitutes a template variable with another graph.
+substitute :: forall p. (Ord (TemplateId p)) => TS.FullTemplate p -> TypeGraph p -> TypeGraph p -> TypeGraph p
+substitute v vGraph (TypeGraph nodes root) =
+    let (newRoot, (_, _, newNodes)) = runState (go root) (0, Map.empty, IntMap.empty)
+    in normalizeGraph $ TypeGraph newNodes newRoot
+  where
+    vGraph' = normalizeGraph vGraph
+    v' = TS.voidFullTemplate v
+
+    go i | i < 0 = return i
+    go i = do
+        (_, o2n, _) <- get
+        case Map.lookup i o2n of
+            Just i' -> return i'
+            Nothing -> do
+                let node = IntMap.findWithDefault (RSpecial SConflict) i nodes
+                case node of
+                    RValue (VTemplate ft _ _) _ _ | TS.voidFullTemplate ft == v' -> do
+                        i' <- mergeVGraph vGraph'
+                        modify $ \(nId, o2n', acc) -> (nId, Map.insert i i' o2n', acc)
+                        return i'
+                    _ -> do
+                        i' <- state $ \(nId, o2n', acc) -> (nId, (nId + 1, Map.insert i nId o2n', acc))
+                        node' <- traverse go node
+                        modify $ \(nId, o2n', acc) -> (nId, o2n', IntMap.insert i' node' acc)
+                        return i'
+
+    mergeVGraph graph = do
+        (idOffset, o2n, acc) <- get
+        let vNodes = tgNodes graph
+            vRoot = tgRoot graph
+            shift id' | id' < 0 = id'
+                      | otherwise = id' + idOffset
+            shiftedNodes = IntMap.fromList [ (shift k, fmap shift n) | (k, n) <- IntMap.toList vNodes ]
+        put (idOffset + IntMap.size shiftedNodes, o2n, IntMap.union acc shiftedNodes)
+        return (shift vRoot)
+
+-- | Computes the Least Fixed Point (LFP) for an equi-recursive type equation X = f(X).
+lfp :: TS.FullTemplate p -> TypeGraph p -> TypeGraph p
+lfp v (TypeGraph nodes root) =
+    let v' = TS.voidFullTemplate v
+        vNodes = IntMap.filter (\case { RValue (VTemplate ft _ _) _ _ -> TS.voidFullTemplate ft == v'; _ -> False }) nodes
+        newRoot = if root `IntMap.member` vNodes then (-1) else root
+        sub i | i `IntMap.member` vNodes = newRoot
+              | otherwise = i
+        newNodes = IntMap.map (fmap sub) nodes
+        finalNodes = foldr IntMap.delete newNodes (IntMap.keys vNodes)
+    in normalizeGraph $ TypeGraph finalNodes newRoot
+
+--------------------------------------------------------------------------------
+-- Minimization and Normalization
+--------------------------------------------------------------------------------
+
+-- | Minimizes a 'TypeGraph' using Moore's Algorithm.
+minimizeGraph :: forall p. (Ord (TemplateId p)) => TypeGraph p -> TypeGraph p
+minimizeGraph (TypeGraph nodes root) =
+    let structuredTerminals = IntMap.fromList [(-1, RSpecial SUnconstrained), (-2, RSpecial SConflict)]
+        normNodes = IntMap.map stripLexeme nodes
+    in GA.minimize structuredTerminals [] (TypeGraph normNodes root)
+
+-- | Strips source positions from lexemes in a type node.
+stripLexeme :: RigidNodeF tid a -> RigidNodeF tid a
+stripLexeme = \case
+    RValue v c s -> RValue (stripStructure v) c (fmap stripL s)
+    RFunction r ps c s -> RFunction r ps c (fmap stripL s)
+    n -> n
+  where
+    stripL (C.L _ cl t) = C.L (C.AlexPn 0 0 0) cl t
+    stripStructure = \case
+        VTypeRef r l args -> VTypeRef r (stripL l) args
+        VExternal l -> VExternal (stripL l)
+        VIntLit l -> VIntLit (stripL l)
+        VNameLit l -> VNameLit (stripL l)
+        VEnumMem l -> VEnumMem (stripL l)
+        s -> s
+
+-- | Normalizes node IDs in a graph to ensure a canonical 'IntMap' representation.
+normalizeGraph :: TypeGraph p -> TypeGraph p
+normalizeGraph (TypeGraph nodes root) =
+    let (newRoot, (_, _, newNodes)) = runState (goNorm root) (0, Map.empty, IntMap.empty)
+    in TypeGraph newNodes newRoot
+  where
+    goNorm i | i < 0 = return i
+    goNorm i = do
+        (nextId, oldToNew, acc) <- get
+        case Map.lookup i oldToNew of
+            Just i' -> return i'
+            Nothing -> do
+                let node = IntMap.findWithDefault (RSpecial SConflict) i nodes
+                let i' = nextId
+                put (nextId + 1, Map.insert i i' oldToNew, acc)
+                node' <- traverse goNorm node
+                (nextId', oldToNew', acc') <- get
+                put (nextId', oldToNew', IntMap.insert i' node' acc')
+                return i'
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Types.hs b/src/Language/Cimple/Analysis/TypeSystem/Types.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Types.hs
@@ -0,0 +1,646 @@
+{-# LANGUAGE DataKinds             #-}
+{-# LANGUAGE DeriveGeneric         #-}
+{-# LANGUAGE DeriveTraversable     #-}
+{-# LANGUAGE DerivingVia           #-}
+{-# LANGUAGE FlexibleInstances     #-}
+{-# LANGUAGE GADTs                 #-}
+{-# LANGUAGE KindSignatures        #-}
+{-# LANGUAGE LambdaCase            #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE OverloadedStrings     #-}
+{-# LANGUAGE PatternSynonyms       #-}
+{-# LANGUAGE StandaloneDeriving    #-}
+{-# LANGUAGE StrictData            #-}
+{-# LANGUAGE TemplateHaskell       #-}
+{-# LANGUAGE ViewPatterns          #-}
+module Language.Cimple.Analysis.TypeSystem.Types
+    ( StdType (..)
+    , Phase (..)
+    , TemplateId (..)
+    , FullTemplate
+    , pattern FullTemplate
+    , FullTemplateF (..)
+    , TypeRef (..)
+    , TypeInfo
+    , TypeInfoF (..)
+    , TypeDescr (..)
+    , TypeSystem
+    , templateIdToText
+    , templateIdBaseName
+    , templateIdHint
+    , isConflict
+    , isUnconstrained
+    , pattern TypeRef
+    , pattern Pointer
+    , pattern Sized
+    , pattern Const
+    , pattern Owner
+    , pattern Nonnull
+    , pattern Nullable
+    , pattern Qualified
+    , pattern BuiltinType
+    , pattern ExternalType
+    , pattern Array
+    , pattern Var
+    , pattern Function
+    , pattern Template
+    , pattern Singleton
+    , pattern VarArg
+    , pattern IntLit
+    , pattern NameLit
+    , pattern EnumMem
+    , pattern Unconstrained
+    , pattern Conflict
+    , pattern Proxy
+    , pattern Unsupported
+    , Qualifier (..)
+    , FlatType (..)
+    , toFlat
+    , fromFlat
+    , normalizeQuals
+    , zipWithF
+    , voidFullTemplate
+    , normalizeType
+    , stripLexemes
+    , ArbitraryTemplateId (..)
+    ) where
+
+import           Control.Applicative          ((<|>))
+import           Data.Aeson                   (FromJSON (..), FromJSON1 (..),
+                                               ToJSON (..), ToJSON1 (..), Value,
+                                               genericParseJSON, genericToJSON,
+                                               object, withObject, (.:), (.=))
+import           Data.Aeson.TH                (defaultOptions)
+import           Data.Aeson.Types             (Parser)
+import           Data.Bifunctor               (Bifunctor (..))
+import           Data.Fix                     (Fix (..), foldFix)
+import           Data.Foldable                (toList)
+import           Data.Functor.Classes         (Eq1, Ord1, Read1, Show1)
+import           Data.Functor.Classes.Generic (FunctorClassesDefault (..))
+import           Data.Map.Strict              (Map)
+import           Data.Set                     (Set)
+import qualified Data.Set                     as Set
+import           Data.Text                    (Text)
+import qualified Data.Text                    as Text
+import           GHC.Generics                 (Generic, Generic1)
+import           Language.Cimple              (Lexeme (..))
+import qualified Language.Cimple              as C
+import           Prettyprinter                (Pretty (..))
+import           Test.QuickCheck              (Arbitrary (..), Gen,
+                                               arbitraryBoundedEnum, elements,
+                                               genericShrink, oneof, scale,
+                                               sized)
+
+data StdType
+    = VoidTy
+    | BoolTy
+    | CharTy
+    | U08Ty
+    | S08Ty
+    | U16Ty
+    | S16Ty
+    | U32Ty
+    | S32Ty
+    | U64Ty
+    | S64Ty
+    | SizeTy
+    | F32Ty
+    | F64Ty
+    | NullPtrTy
+    deriving (Show, Read, Eq, Ord, Generic)
+
+instance ToJSON StdType
+instance FromJSON StdType
+
+instance Arbitrary StdType where
+    arbitrary = elements [VoidTy, BoolTy, CharTy, U08Ty, S08Ty, U16Ty, S16Ty, U32Ty, S32Ty, U64Ty, S64Ty, SizeTy, F32Ty, F64Ty, NullPtrTy]
+    shrink = genericShrink
+
+data Phase = Global | Local
+    deriving (Show, Read, Eq, Ord, Generic, Bounded, Enum)
+
+instance Arbitrary Phase where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+-- | Structured identity for templates to ensure stable naming during solving.
+data TemplateId (p :: Phase) where
+    TIdName      :: Text -> TemplateId 'Global        -- ^ Original name from source (e.g. "T")
+    TIdParam     :: Int -> Maybe Text -> TemplateId 'Global -- ^ Generalized parameter (P0, P1, ...)
+    TIdInst      :: Integer -> TemplateId 'Global -> TemplateId 'Local -- ^ Instantiated at a specific call site ID
+    TIdPoly      :: Integer -> Int -> Maybe Text -> Maybe Text -> TemplateId 'Local -- ^ Generalized parameter scoped to a phase
+    TIdSolver    :: Int -> Maybe Text -> TemplateId 'Local -- ^ Temporary solver template with an optional hint
+    TIdAnonymous :: Maybe Text -> TemplateId p        -- ^ Anonymous template (e.g. from void*)
+    TIdRec       :: Int -> TemplateId p               -- ^ Recursion point for equi-recursive types
+
+deriving instance Show (TemplateId p)
+deriving instance Eq (TemplateId p)
+deriving instance Ord (TemplateId p)
+
+class ArbitraryTemplateId (p :: Phase) where
+    arbitraryTemplateId :: Gen (TemplateId p)
+
+instance ArbitraryTemplateId 'Global where
+    arbitraryTemplateId = oneof
+        [ TIdName . Text.pack <$> arbitrary
+        , TIdParam <$> arbitrary <*> (fmap Text.pack <$> arbitrary)
+        , TIdAnonymous . fmap Text.pack <$> arbitrary
+        , TIdRec <$> arbitrary
+        ]
+
+instance ArbitraryTemplateId 'Local where
+    arbitraryTemplateId = oneof
+        [ TIdInst <$> arbitrary <*> arbitraryTemplateId
+        , TIdPoly <$> arbitrary <*> arbitrary <*> (fmap Text.pack <$> arbitrary) <*> (fmap Text.pack <$> arbitrary)
+        , TIdSolver <$> arbitrary <*> (fmap Text.pack <$> arbitrary)
+        , TIdAnonymous . fmap Text.pack <$> arbitrary
+        , TIdRec <$> arbitrary
+        ]
+
+instance ArbitraryTemplateId p => Arbitrary (TemplateId p) where
+    arbitrary = arbitraryTemplateId
+
+instance ToJSON (TemplateId p) where
+    toJSON (TIdName n)             = object ["tag" .= ("TIdName" :: Text), "contents" .= n]
+    toJSON (TIdParam i h)          = object ["tag" .= ("TIdParam" :: Text), "index" .= i, "hint" .= h]
+    toJSON (TIdInst i tid)         = object ["tag" .= ("TIdInst" :: Text), "index" .= i, "tid" .= tid]
+    toJSON (TIdPoly ph i h p)      = object ["tag" .= ("TIdPoly" :: Text), "phase" .= ph, "index" .= i, "hint" .= h, "parent" .= p]
+    toJSON (TIdSolver i h)         = object ["tag" .= ("TIdSolver" :: Text), "index" .= i, "hint" .= h]
+    toJSON (TIdAnonymous h)        = object ["tag" .= ("TIdAnonymous" :: Text), "hint" .= h]
+    toJSON (TIdRec i)              = object ["tag" .= ("TIdRec" :: Text), "index" .= i]
+
+class FromJSONTemplateId (p :: Phase) where
+    parseTemplateId :: Value -> Parser (TemplateId p)
+
+instance FromJSONTemplateId 'Global where
+    parseTemplateId = withObject "TemplateId Global" $ \v -> do
+        tag <- v .: "tag"
+        case (tag :: Text) of
+            "TIdName"      -> TIdName <$> v .: "contents"
+            "TIdParam"     -> TIdParam <$> v .: "index" <*> v .: "hint"
+            "TIdAnonymous" -> TIdAnonymous <$> v .: "hint"
+            "TIdRec"       -> TIdRec <$> v .: "index"
+            _              -> fail $ "Invalid TemplateId Global tag: " ++ Text.unpack tag
+
+instance FromJSONTemplateId 'Local where
+    parseTemplateId = withObject "TemplateId Local" $ \v -> do
+        tag <- v .: "tag"
+        case (tag :: Text) of
+            "TIdInst"      -> TIdInst <$> v .: "index" <*> v .: "tid"
+            "TIdPoly"      -> TIdPoly <$> v .: "phase" <*> v .: "index" <*> v .: "hint" <*> v .: "parent"
+            "TIdSolver"    -> TIdSolver <$> v .: "index" <*> v .: "hint"
+            "TIdAnonymous" -> TIdAnonymous <$> v .: "hint"
+            "TIdRec"       -> TIdRec <$> v .: "index"
+            _              -> fail $ "Invalid TemplateId Local tag: " ++ Text.unpack tag
+
+instance FromJSONTemplateId p => FromJSON (TemplateId p) where
+    parseJSON = parseTemplateId
+
+-- | Unified identity for a template and its optional index.
+data FullTemplateF tid a = FT
+    { ftId    :: tid
+    , ftIndex :: Maybe a
+    }
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+
+deriving via FunctorClassesDefault (FullTemplateF tid) instance Show tid => Show1 (FullTemplateF tid)
+deriving via FunctorClassesDefault (FullTemplateF tid) instance Read tid => Read1 (FullTemplateF tid)
+deriving via FunctorClassesDefault (FullTemplateF tid) instance Eq tid => Eq1 (FullTemplateF tid)
+deriving via FunctorClassesDefault (FullTemplateF tid) instance Ord tid => Ord1 (FullTemplateF tid)
+
+instance (ToJSON tid, ToJSON a) => ToJSON (FullTemplateF tid a)
+instance (FromJSON tid, FromJSON a) => FromJSON (FullTemplateF tid a)
+
+instance (Arbitrary tid, Arbitrary a) => Arbitrary (FullTemplateF tid a) where
+    arbitrary = FT <$> arbitrary <*> arbitrary
+    shrink (FT tid idx) = [FT tid' idx | tid' <- shrink tid] ++ [FT tid idx' | idx' <- shrink idx]
+
+instance ToJSON tid => ToJSON1 (FullTemplateF tid)
+instance FromJSON tid => FromJSON1 (FullTemplateF tid)
+
+type FullTemplate p = FullTemplateF (TemplateId p) (TypeInfo p)
+
+pattern FullTemplate :: tid -> Maybe a -> FullTemplateF tid a
+pattern FullTemplate tid idx = FT tid idx
+
+{-# COMPLETE FullTemplate #-}
+
+instance Pretty (TemplateId p) where
+    pretty = pretty . templateIdToText
+
+templateIdToText :: TemplateId p -> Text
+templateIdToText (TIdName n) = n
+templateIdToText (TIdParam i Nothing) = "P" <> Text.pack (show i)
+templateIdToText (TIdParam i (Just n))
+    | Text.null n = "P" <> Text.pack (show i)
+    | otherwise   = "P" <> Text.pack (show i) <> "(" <> n <> ")"
+templateIdToText (TIdInst i tid) = templateIdToText tid <> ":inst:" <> Text.pack (show i)
+templateIdToText (TIdPoly _ i (Just n) _)
+    | Text.null n = "P" <> Text.pack (show i)
+    | otherwise   = n
+templateIdToText (TIdPoly ph i Nothing parent) =
+    "P" <> Text.pack (show i) <> "@" <> Text.pack (show ph) <> maybe "" (":" <>) parent
+templateIdToText (TIdSolver i Nothing) = "T" <> Text.pack (show i)
+templateIdToText (TIdSolver i (Just n))
+    | Text.null n = "T" <> Text.pack (show i)
+    | otherwise   = "T" <> Text.pack (show i) <> "(" <> n <> ")"
+templateIdToText (TIdAnonymous Nothing) = "ANON"
+templateIdToText (TIdAnonymous (Just n))
+    | Text.null n = "ANON"
+    | otherwise   = n
+templateIdToText (TIdRec i) = "rec" <> Text.pack (show i)
+
+templateIdBaseName :: TemplateId p -> Text
+templateIdBaseName (TIdName n)              = n
+templateIdBaseName (TIdParam _ Nothing)     = ""
+templateIdBaseName (TIdParam _ (Just n))    = n
+templateIdBaseName (TIdInst _ tid)          = templateIdBaseName tid
+templateIdBaseName (TIdPoly _ _ Nothing _)  = ""
+templateIdBaseName (TIdPoly _ _ (Just n) _) = n
+templateIdBaseName (TIdSolver _ Nothing)    = ""
+templateIdBaseName (TIdSolver _ (Just n))   = n
+templateIdBaseName (TIdAnonymous Nothing)   = ""
+templateIdBaseName (TIdAnonymous (Just n))  = n
+templateIdBaseName (TIdRec i)               = "rec" <> Text.pack (show i)
+
+templateIdHint :: TemplateId p -> Maybe Text
+templateIdHint (TIdName n)          = Just n
+templateIdHint (TIdParam _ hint)    = hint
+templateIdHint (TIdInst _ tid)      = templateIdHint tid
+templateIdHint (TIdPoly _ _ hint _) = hint
+templateIdHint (TIdSolver _ hint)   = hint
+templateIdHint (TIdAnonymous hint)  = hint
+templateIdHint (TIdRec _)           = Nothing
+
+data TypeRef
+    = UnresolvedRef
+    | StructRef
+    | UnionRef
+    | EnumRef
+    | IntRef
+    | FuncRef
+    deriving (Show, Read, Eq, Ord, Generic, Bounded, Enum)
+
+instance ToJSON TypeRef
+instance FromJSON TypeRef
+
+data TypeInfoF lexeme a
+    = TypeRefF TypeRef (Lexeme lexeme) [a]
+    | PointerF a
+    | SizedF a (Lexeme lexeme)
+    | QualifiedF (Set Qualifier) a
+    | BuiltinTypeF StdType
+    | ExternalTypeF (Lexeme lexeme)
+    | ArrayF (Maybe a) [a]
+    | VarF (Lexeme lexeme) a
+    | FunctionF a [a]
+    | TemplateF (FullTemplateF lexeme a)
+    | SingletonF StdType Integer
+    | VarArgF
+    | IntLitF (Lexeme lexeme)
+    | NameLitF (Lexeme lexeme)
+    | EnumMemF (Lexeme lexeme)
+    | UnconstrainedF
+    | ConflictF
+    | ProxyF a
+    | UnsupportedF Text
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault (TypeInfoF lexeme)
+
+instance FromJSON lexeme => FromJSON1 (TypeInfoF lexeme)
+instance ToJSON lexeme => ToJSON1 (TypeInfoF lexeme)
+
+instance Bifunctor FullTemplateF where
+    bimap f g (FT tid idx) = FT (f tid) (fmap g idx)
+
+instance Bifunctor TypeInfoF where
+    bimap f g (TypeRefF r l args) = TypeRefF r (fmap f l) (map g args)
+    bimap _ g (PointerF a)        = PointerF (g a)
+    bimap f g (SizedF a l)        = SizedF (g a) (fmap f l)
+    bimap _ g (QualifiedF qs a)   = QualifiedF qs (g a)
+    bimap _ _ (BuiltinTypeF s)    = BuiltinTypeF s
+    bimap f _ (ExternalTypeF l)   = ExternalTypeF (fmap f l)
+    bimap _ g (ArrayF m args)     = ArrayF (fmap g m) (map g args)
+    bimap f g (VarF l a)          = VarF (fmap f l) (g a)
+    bimap _ g (FunctionF r ps)    = FunctionF (g r) (map g ps)
+    bimap f g (TemplateF ft)      = TemplateF (bimap f g ft)
+    bimap _ _ (SingletonF s i)    = SingletonF s i
+    bimap _ _ VarArgF             = VarArgF
+    bimap f _ (IntLitF l)         = IntLitF (fmap f l)
+    bimap f _ (NameLitF l)        = NameLitF (fmap f l)
+    bimap f _ (EnumMemF l)        = EnumMemF (fmap f l)
+    bimap _ _ UnconstrainedF      = UnconstrainedF
+    bimap _ _ ConflictF           = ConflictF
+    bimap _ g (ProxyF a)          = ProxyF (g a)
+    bimap _ _ (UnsupportedF t)    = UnsupportedF t
+
+-- | Zips two TypeInfoF structures together if they have the same constructor.
+zipWithF :: Eq tid => (a -> b -> c) -> TypeInfoF tid a -> TypeInfoF tid b -> Maybe (TypeInfoF tid c)
+zipWithF f (PointerF a) (PointerF b) = Just $ PointerF (f a b)
+zipWithF f (QualifiedF qs1 a) (QualifiedF qs2 b)
+    | qs1 == qs2 = Just $ QualifiedF qs1 (f a b)
+zipWithF f (SizedF a l1) (SizedF b l2) | l1 == l2 = Just $ SizedF (f a b) l1
+zipWithF _ (BuiltinTypeF s1) (BuiltinTypeF s2) | s1 == s2 = Just $ BuiltinTypeF s1
+zipWithF _ (ExternalTypeF l1) (ExternalTypeF l2) | l1 == l2 = Just $ ExternalTypeF l1
+zipWithF f (ArrayF m1 d1) (ArrayF m2 d2)
+    | length d1 == length d2 = Just $ ArrayF (f <$> m1 <*> m2) (zipWith f d1 d2)
+zipWithF f (VarF l1 a) (VarF l2 b) | l1 == l2 = Just $ VarF l1 (f a b)
+zipWithF f (TemplateF (FT t1 i1)) (TemplateF (FT t2 i2))
+    | t1 == t2 = case (i1, i2) of
+        (Just a, Just b)   -> Just $ TemplateF (FT t1 (Just (f a b)))
+        (Nothing, Nothing) -> Just $ TemplateF (FT t1 Nothing)
+        _                  -> Nothing
+zipWithF _ (SingletonF s1 i1) (SingletonF s2 i2) | s1 == s2 && i1 == i2 = Just $ SingletonF s1 i1
+zipWithF _ VarArgF VarArgF = Just VarArgF
+zipWithF _ (IntLitF l1) (IntLitF l2) | l1 == l2 = Just $ IntLitF l1
+zipWithF _ (NameLitF l1) (NameLitF l2) | l1 == l2 = Just $ NameLitF l1
+zipWithF _ (EnumMemF l1) (EnumMemF l2) | l1 == l2 = Just $ EnumMemF l1
+zipWithF _ UnconstrainedF UnconstrainedF = Just UnconstrainedF
+zipWithF _ ConflictF ConflictF = Just ConflictF
+zipWithF f (ProxyF a) (ProxyF b) = Just $ ProxyF (f a b)
+zipWithF _ (UnsupportedF t1) (UnsupportedF t2) | t1 == t2 = Just $ UnsupportedF t1
+zipWithF _ _ _ = Nothing
+
+-- | Strips the index from a FullTemplate.
+voidFullTemplate :: FullTemplateF tid a -> FullTemplateF tid ()
+voidFullTemplate (FT tid _) = FT tid Nothing
+
+type TypeInfo p = Fix (TypeInfoF (TemplateId p))
+
+instance ArbitraryTemplateId p => Arbitrary (TypeInfo p) where
+    arbitrary = sized $ \n ->
+        if n <= 0
+        then oneof [ BuiltinType <$> arbitrary
+                   , Template <$> arbitrary <*> return Nothing
+                   , return VarArg
+                   , return Unconstrained
+                   , return Conflict
+                   ]
+        else oneof [ BuiltinType <$> arbitrary
+                   , Pointer <$> scale (\x -> x - 1) arbitrary
+                   , Sized <$> scale (\x -> x - 1) arbitrary <*> arbitrary
+                   , Qualified <$> arbitrary <*> scale (\x -> x - 1) arbitrary
+                   , Array <$> scale (\x -> x - 1) arbitrary <*> scale (\x -> x - 1) (oneof [return [], (:[]) <$> arbitrary])
+                   , Function <$> scale (\x -> x - 1) arbitrary <*> scale (\x -> x - 1) (oneof [return [], (:[]) <$> arbitrary])
+                   , Template <$> arbitrary <*> scale (\x -> x - 1) arbitrary
+                   , Singleton <$> arbitrary <*> arbitrary
+                   , return VarArg
+                   , return Unconstrained
+                   , return Conflict
+                   ]
+
+    shrink (Fix f) =
+        toList f ++
+        case f of
+            PointerF a          -> [Pointer a' | a' <- shrink a]
+            SizedF a l          -> [Sized a' l | a' <- shrink a]
+            QualifiedF qs a     -> [Qualified qs' a | qs' <- shrink qs] ++
+                                   [Qualified qs a' | a' <- shrink a]
+            ArrayF m ds         -> [Array m' ds | m' <- shrink m] ++
+                                   [Array m ds' | ds' <- shrink ds]
+            VarF l a            -> [Var l a' | a' <- shrink a]
+            FunctionF r ps      -> [Function r' ps | r' <- shrink r] ++
+                                   [Function r ps' | ps' <- shrink ps]
+            TemplateF (FT t m)  -> [Template t m' | m' <- shrink m]
+            TypeRefF r l args   -> [TypeRef r l args' | args' <- shrink args]
+            ProxyF a            -> [a' | a' <- shrink a]
+            _                   -> []
+
+pattern TypeRef :: TypeRef -> Lexeme (TemplateId p) -> [TypeInfo p] -> TypeInfo p
+pattern TypeRef r l args = Fix (TypeRefF r l args)
+
+pattern Pointer :: TypeInfo p -> TypeInfo p
+pattern Pointer a = Fix (PointerF a)
+
+pattern Sized :: TypeInfo p -> Lexeme (TemplateId p) -> TypeInfo p
+pattern Sized a l = Fix (SizedF a l)
+
+matchQual :: Qualifier -> TypeInfo p -> Maybe (TypeInfo p)
+matchQual q (Fix f) = case f of
+    QualifiedF qs t | Set.member q qs -> Just $ wrapQualified (Set.delete q qs) t
+    _ -> Nothing
+
+pattern Const :: TypeInfo p -> TypeInfo p
+pattern Const a <- (matchQual QConst -> Just a) where
+    Const a = wrapQualified (Set.singleton QConst) a
+
+pattern Owner :: TypeInfo p -> TypeInfo p
+pattern Owner a <- (matchQual QOwner -> Just a) where
+    Owner a = wrapQualified (Set.singleton QOwner) a
+
+pattern Nonnull :: TypeInfo p -> TypeInfo p
+pattern Nonnull a <- (matchQual QNonnull -> Just a) where
+    Nonnull a = wrapQualified (Set.singleton QNonnull) a
+
+pattern Nullable :: TypeInfo p -> TypeInfo p
+pattern Nullable a <- (matchQual QNullable -> Just a) where
+    Nullable a = wrapQualified (Set.singleton QNullable) a
+
+pattern Qualified :: Set Qualifier -> TypeInfo p -> TypeInfo p
+pattern Qualified qs a = Fix (QualifiedF qs a)
+
+pattern BuiltinType :: StdType -> TypeInfo p
+pattern BuiltinType s = Fix (BuiltinTypeF s)
+
+pattern ExternalType :: Lexeme (TemplateId p) -> TypeInfo p
+pattern ExternalType l = Fix (ExternalTypeF l)
+
+pattern Array :: Maybe (TypeInfo p) -> [TypeInfo p] -> TypeInfo p
+pattern Array m args = Fix (ArrayF m args)
+
+pattern Var :: Lexeme (TemplateId p) -> TypeInfo p -> TypeInfo p
+pattern Var l a = Fix (VarF l a)
+
+pattern Function :: TypeInfo p -> [TypeInfo p] -> TypeInfo p
+pattern Function r ps = Fix (FunctionF r ps)
+
+pattern Template :: TemplateId p -> Maybe (TypeInfo p) -> TypeInfo p
+pattern Template l m = Fix (TemplateF (FullTemplate l m))
+
+
+pattern Singleton :: StdType -> Integer -> TypeInfo p
+pattern Singleton s i = Fix (SingletonF s i)
+
+pattern VarArg :: TypeInfo p
+pattern VarArg = Fix VarArgF
+
+pattern IntLit :: Lexeme (TemplateId p) -> TypeInfo p
+pattern IntLit l = Fix (IntLitF l)
+
+pattern NameLit :: Lexeme (TemplateId p) -> TypeInfo p
+pattern NameLit l = Fix (NameLitF l)
+
+pattern EnumMem :: Lexeme (TemplateId p) -> TypeInfo p
+pattern EnumMem l = Fix (EnumMemF l)
+
+pattern Unconstrained :: TypeInfo p
+pattern Unconstrained = Fix UnconstrainedF
+
+pattern Conflict :: TypeInfo p
+pattern Conflict = Fix ConflictF
+
+pattern Proxy :: TypeInfo p -> TypeInfo p
+pattern Proxy a = Fix (ProxyF a)
+
+pattern Unsupported :: Text -> TypeInfo p
+pattern Unsupported t = Fix (UnsupportedF t)
+
+{-# COMPLETE TypeRef, Pointer, Sized, Const, Owner, Nonnull, Nullable, Qualified, BuiltinType, ExternalType, Array, Var, Function, Template, Singleton, VarArg, IntLit, NameLit, EnumMem, Unconstrained, Conflict, Proxy, Unsupported #-}
+
+data Qualifier = QOwner | QNullable | QNonnull | QConst
+    deriving (Show, Read, Eq, Ord, Generic, Enum, Bounded)
+
+instance ToJSON Qualifier
+instance FromJSON Qualifier
+
+instance Arbitrary Qualifier where
+    arbitrary = arbitraryBoundedEnum
+    shrink = genericShrink
+
+instance (Arbitrary lexeme, Arbitrary a) => Arbitrary (TypeInfoF lexeme a) where
+    arbitrary = sized $ \n ->
+        if n <= 0
+        then oneof [ BuiltinTypeF <$> arbitrary
+                   , TemplateF <$> arbitrary
+                   , pure VarArgF
+                   , pure UnconstrainedF
+                   , pure ConflictF
+                   ]
+        else oneof [ TypeRefF <$> arbitrary <*> arbitrary <*> scale (\x -> x - 1) arbitrary
+                   , PointerF <$> scale (\x -> x - 1) arbitrary
+                   , SizedF <$> scale (\x -> x - 1) arbitrary <*> arbitrary
+                   , QualifiedF <$> arbitrary <*> scale (\x -> x - 1) arbitrary
+                   , BuiltinTypeF <$> arbitrary
+                   , ExternalTypeF <$> arbitrary
+                   , ArrayF <$> scale (\x -> x - 1) (oneof [return Nothing, Just <$> arbitrary]) <*> scale (\x -> x - 1) (oneof [return [], (:[]) <$> arbitrary])
+                   , VarF <$> arbitrary <*> scale (\x -> x - 1) arbitrary
+                   , FunctionF <$> scale (\x -> x - 1) arbitrary <*> scale (\x -> x - 1) (oneof [return [], (:[]) <$> arbitrary])
+                   , TemplateF <$> arbitrary
+                   , SingletonF <$> arbitrary <*> arbitrary
+                   , pure VarArgF
+                   , IntLitF <$> arbitrary
+                   , NameLitF <$> arbitrary
+                   , EnumMemF <$> arbitrary
+                   , pure UnconstrainedF
+                   , pure ConflictF
+                   , ProxyF <$> scale (\x -> x - 1) arbitrary
+                   , UnsupportedF <$> (Text.pack <$> arbitrary)
+                   ]
+    shrink = \case
+        TypeRefF r l args -> [TypeRefF r l args' | args' <- shrink args]
+        PointerF a -> [PointerF a' | a' <- shrink a]
+        SizedF a l -> [SizedF a' l | a' <- shrink a]
+        QualifiedF qs a -> [QualifiedF qs' a | qs' <- shrink qs] ++ [QualifiedF qs a' | a' <- shrink a]
+        ArrayF m ds -> [ArrayF m' ds | m' <- shrink m] ++ [ArrayF m ds' | ds' <- shrink ds]
+        VarF l a -> [VarF l a' | a' <- shrink a]
+        FunctionF r ps -> [FunctionF r' ps | r' <- shrink r] ++ [FunctionF r ps' | ps' <- shrink ps]
+        TemplateF ft -> [TemplateF ft' | ft' <- shrink ft]
+        ProxyF a -> [ProxyF a' | a' <- shrink a]
+        _ -> []
+
+instance Arbitrary TypeRef where
+    arbitrary = arbitraryBoundedEnum
+
+isConflict :: TypeInfo p -> Bool
+isConflict = \case
+    Fix ConflictF -> True
+    Fix (QualifiedF _ t) -> isConflict t
+    Fix (SizedF t _) -> isConflict t
+    Fix (VarF _ t) -> isConflict t
+    Fix (ProxyF t) -> isConflict t
+    _ -> False
+
+isUnconstrained :: TypeInfo p -> Bool
+isUnconstrained = \case
+    Fix UnconstrainedF -> True
+    Fix (QualifiedF _ t) -> isUnconstrained t
+    Fix (SizedF t _) -> isUnconstrained t
+    Fix (VarF _ t) -> isUnconstrained t
+    Fix (ProxyF t) -> isUnconstrained t
+    _ -> False
+
+data FlatType p = FlatType
+    { ftStructure :: TypeInfoF (TemplateId p) (TypeInfo p)
+    , ftQuals     :: Set Qualifier
+    , ftSize      :: Maybe (Lexeme (TemplateId p))
+    } deriving (Show, Eq, Generic)
+
+toFlat :: TypeInfo p -> FlatType p
+toFlat ty = go Set.empty Nothing (normalizeType ty)
+  where
+    go qs sz (Fix f) = case f of
+        UnconstrainedF -> FlatType UnconstrainedF (normalizeQuals (Set.insert QNonnull qs)) Nothing
+        ConflictF      -> FlatType ConflictF (normalizeQuals (Set.insert QNullable $ Set.insert QConst $ Set.insert QOwner qs)) Nothing
+        BuiltinTypeF NullPtrTy | QNonnull `Set.member` qs -> FlatType UnconstrainedF (normalizeQuals qs) Nothing
+        SingletonF NullPtrTy 0 | QNonnull `Set.member` qs -> FlatType UnconstrainedF (normalizeQuals qs) Nothing
+        QualifiedF qs' t -> go (qs <> qs') sz t
+        SizedF t l  -> go qs (sz <|> Just l) t
+        VarF _ t    -> go qs sz t
+        ProxyF t    -> go qs sz t
+        _           -> FlatType f (normalizeQuals qs) sz
+
+normalizeQuals :: Set Qualifier -> Set Qualifier
+normalizeQuals qs =
+    if Set.member QNullable qs then Set.delete QNonnull qs else qs
+
+wrapQualified :: Set Qualifier -> TypeInfo p -> TypeInfo p
+wrapQualified qs (Fix (QualifiedF qs' t)) = wrapQualified (qs <> qs') t
+wrapQualified qs (Fix (SizedF t l))       = Sized (wrapQualified qs t) l
+wrapQualified _ (Fix UnconstrainedF)      = Unconstrained
+wrapQualified _ (Fix ConflictF)           = Conflict
+wrapQualified qs t                        | Set.null qs = t
+wrapQualified qs t                        = Qualified (normalizeQuals qs) t
+
+normalizeType :: TypeInfo p -> TypeInfo p
+normalizeType = foldFix $ \case
+    ArrayF Nothing ds -> Array (Just Unconstrained) ds
+    QualifiedF qs t   -> wrapQualified qs t
+    SizedF t (C.L _ cl l) -> Fix $ SizedF t (C.L (C.AlexPn 0 0 0) cl l)
+    VarF _ t          -> t
+    ProxyF t    -> t
+    TypeRefF r (C.L _ cl t) args -> Fix $ TypeRefF r (C.L (C.AlexPn 0 0 0) cl t) args
+
+    ExternalTypeF (C.L _ cl t) -> Fix $ ExternalTypeF (C.L (C.AlexPn 0 0 0) cl t)
+    IntLitF (C.L _ cl t) -> Fix $ IntLitF (C.L (C.AlexPn 0 0 0) cl t)
+    NameLitF (C.L _ cl t) -> Fix $ NameLitF (C.L (C.AlexPn 0 0 0) cl t)
+    EnumMemF (C.L _ cl t) -> Fix $ EnumMemF (C.L (C.AlexPn 0 0 0) cl t)
+    f                 -> Fix f
+
+stripLexemes :: TypeInfo p -> TypeInfo p
+stripLexemes = foldFix $ \case
+    TypeRefF r (C.L _ cl t) args -> Fix $ TypeRefF r (C.L (C.AlexPn 0 0 0) cl t) args
+    SizedF a (C.L _ cl t) -> Fix $ SizedF a (C.L (C.AlexPn 0 0 0) cl t)
+    ExternalTypeF (C.L _ cl t) -> Fix $ ExternalTypeF (C.L (C.AlexPn 0 0 0) cl t)
+    VarF (C.L _ cl t) a -> Fix $ VarF (C.L (C.AlexPn 0 0 0) cl t) a
+    IntLitF (C.L _ cl t) -> Fix $ IntLitF (C.L (C.AlexPn 0 0 0) cl t)
+    NameLitF (C.L _ cl t) -> Fix $ NameLitF (C.L (C.AlexPn 0 0 0) cl t)
+    EnumMemF (C.L _ cl t) -> Fix $ EnumMemF (C.L (C.AlexPn 0 0 0) cl t)
+    f -> Fix f
+
+fromFlat :: FlatType p -> TypeInfo p
+fromFlat (FlatType ConflictF _ _) = Conflict
+fromFlat (FlatType UnconstrainedF _ _) = Unconstrained
+fromFlat (FlatType s qs sz) =
+    let base = Fix (normalizeStructure s)
+        withQuals = if Set.null qs then base else Qualified qs base
+    in maybe withQuals (Sized withQuals) sz
+  where
+    normalizeStructure (ArrayF Nothing ds) = ArrayF (Just Unconstrained) ds
+    normalizeStructure f                   = f
+
+data TypeDescr (p :: Phase)
+    = StructDescr (Lexeme Text) [TemplateId p] [(Lexeme Text, TypeInfo p)]
+    | UnionDescr (Lexeme Text) [TemplateId p] [(Lexeme Text, TypeInfo p)]
+    | EnumDescr (Lexeme Text) [TypeInfo p]
+    | IntDescr (Lexeme Text) StdType
+    | FuncDescr (Lexeme Text) [TemplateId p] (TypeInfo p) [TypeInfo p]
+    | AliasDescr (Lexeme Text) [TemplateId p] (TypeInfo p)
+    deriving (Show, Eq, Generic)
+
+instance ToJSON (TypeDescr p) where
+    toJSON = genericToJSON defaultOptions
+
+instance FromJSONTemplateId p => FromJSON (TypeDescr p) where
+    parseJSON = genericParseJSON defaultOptions
+
+type TypeSystem = Map Text (TypeDescr 'Global)
diff --git a/src/Language/Cimple/Analysis/TypeSystem/Unification.hs b/src/Language/Cimple/Analysis/TypeSystem/Unification.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/TypeSystem/Unification.hs
@@ -0,0 +1,513 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.Unification
+    ( UnifyResult (..)
+    , UnifyState (..)
+    , Unify
+    , runUnification
+    , unify
+    , subtype
+    , applyBindings
+    , applyBindingsDeep
+    , resolveType
+    , unwrap
+    , reportError
+    ) where
+
+import           Control.Applicative                               ((<|>))
+import           Control.Monad                                     (foldM, void,
+                                                                    when,
+                                                                    zipWithM_)
+import           Control.Monad.State.Strict                        (State,
+                                                                    StateT,
+                                                                    execState,
+                                                                    lift)
+import qualified Control.Monad.State.Strict                        as State
+import           Data.Fix                                          (Fix (..),
+                                                                    foldFix,
+                                                                    foldFixM,
+                                                                    unFix)
+import qualified Data.Graph                                        as Graph
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Maybe                                        (catMaybes,
+                                                                    fromMaybe)
+import           Data.Set                                          (Set)
+import qualified Data.Set                                          as Set
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import qualified Data.Tree                                         as Tree
+import qualified Debug.Trace                                       as Debug
+import           Language.Cimple                                   (Lexeme (..))
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.Errors                   (Context (..),
+                                                                    ErrorInfo (..),
+                                                                    MismatchContext (..),
+                                                                    MismatchDetail (..),
+                                                                    MismatchReason (..),
+                                                                    Provenance (..),
+                                                                    Qualifier (..),
+                                                                    TypeError (..))
+import qualified Language.Cimple.Analysis.Pretty                   as P
+import           Language.Cimple.Analysis.TypeSystem               (pattern Array,
+                                                                    pattern BuiltinType,
+                                                                    pattern Const,
+                                                                    pattern ExternalType,
+                                                                    FullTemplate,
+                                                                    pattern FullTemplate,
+                                                                    FullTemplateF (..),
+                                                                    pattern Function,
+                                                                    pattern IntLit,
+                                                                    pattern Nonnull,
+                                                                    pattern Nullable,
+                                                                    pattern Owner,
+                                                                    Phase (..),
+                                                                    pattern Pointer,
+                                                                    pattern Qualified,
+                                                                    pattern Singleton,
+                                                                    pattern Sized,
+                                                                    StdType (..),
+                                                                    pattern Template,
+                                                                    TemplateId (..),
+                                                                    TypeDescr (..),
+                                                                    TypeInfo,
+                                                                    TypeInfoF (..),
+                                                                    TypeRef (..),
+                                                                    pattern TypeRef,
+                                                                    TypeSystem,
+                                                                    pattern Unsupported,
+                                                                    pattern Var,
+                                                                    pattern VarArg,
+                                                                    isNetworkingStruct,
+                                                                    isPointerLike,
+                                                                    isVarArg,
+                                                                    isVoid,
+                                                                    promoteNonnull,
+                                                                    templateIdBaseName,
+                                                                    templateIdHint,
+                                                                    templateIdToText,
+                                                                    unwrap)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import qualified Language.Cimple.Analysis.TypeSystem.GraphSolver   as GS
+import           Language.Cimple.Analysis.TypeSystem.Lattice       (join)
+import           Language.Cimple.Analysis.TypeSystem.Qualification (QualState (..),
+                                                                    allowCovariance,
+                                                                    stepQual,
+                                                                    subtypeQuals)
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph     as TG
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+dtrace :: String -> a -> a
+dtrace msg x = if debugging then Debug.trace msg x else x
+
+data UnifyResult = UnifyResult
+    { urErrors   :: [ErrorInfo 'Local]
+    , urBindings :: Map (FullTemplate 'Local) (TypeInfo 'Local, Provenance 'Local)
+    } deriving (Show)
+
+data UnifyState = UnifyState
+    { usBindings   :: Map (FullTemplate 'Local) (TypeInfo 'Local, Provenance 'Local)
+    , usErrors     :: [ErrorInfo 'Local]
+    , usTypeSystem :: TypeSystem
+    , usSeen       :: Set (TypeInfo 'Local, TypeInfo 'Local, QualState)
+    , usNextId     :: Int
+    , usFinalPass  :: Bool
+    }
+
+type Unify = State UnifyState
+
+runUnification :: TypeSystem -> Unify a -> UnifyResult
+runUnification ts action =
+    let initialState = UnifyState Map.empty [] ts Set.empty 0 True
+        finalState = execState action initialState
+    in UnifyResult (usErrors finalState) (usBindings finalState)
+
+unify :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+unify = unifyRecursive QualTop
+
+unifyRecursive :: QualState -> TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+unifyRecursive qstate t1 t2 reason ml ctx = do
+    dtraceM $ "UNIFY(" ++ show qstate ++ "): " ++ show t1 ++ " with " ++ show t2
+    m1 <- subtypeRecursive qstate t1 t2 reason ml ctx
+    m2 <- subtypeRecursive qstate t2 t1 reason ml ctx
+    return (m1 <|> m2)
+
+subtype :: TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+subtype actual expected reason ml ctx = subtypeRecursive QualTop actual expected reason ml ctx
+
+subtypeRecursive :: QualState -> TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+subtypeRecursive qstate actual expected reason ml ctx = do
+    ab0 <- resolveType =<< applyBindings actual
+    eb0 <- resolveType =<< applyBindings expected
+    ab1 <- deVoidify ab0
+    eb1 <- deVoidify eb0
+
+    dtraceM $ "SUBTYPE(" ++ show qstate ++ "): " ++ show ab1 ++ " <: " ++ show eb1
+    seen <- State.gets usSeen
+    if Set.member (ab1, eb1, qstate) seen
+        then dtraceM "  ALREADY SEEN" >> return Nothing
+        else do
+            State.modify $ \s -> s { usSeen = Set.insert (ab1, eb1, qstate) (usSeen s) }
+            res <- subtypeImpl qstate ab1 eb1 reason ml ctx
+            State.modify $ \s -> s { usSeen = seen }
+            return res
+
+deVoidify :: TypeInfo 'Local -> Unify (TypeInfo 'Local)
+deVoidify = foldFixM alg
+  where
+    alg (PointerF it) | TS.isVoid it = do
+        tid <- nextSolverTemplate Nothing
+        return $ Pointer (applyWrappers it tid)
+    alg f = return $ Fix f
+
+    applyWrappers (BuiltinType VoidTy) x = x
+    applyWrappers (Const t) x            = Const (applyWrappers t x)
+    applyWrappers (Owner t) x            = Owner (applyWrappers t x)
+    applyWrappers (Nonnull t) x          = Nonnull (applyWrappers t x)
+    applyWrappers (Nullable t) x         = Nullable (applyWrappers t x)
+    applyWrappers (Qualified qs t) x     = Qualified qs (applyWrappers t x)
+    applyWrappers (Var l t) x            = Var l (applyWrappers t x)
+    applyWrappers (Sized t l) x          = Sized (applyWrappers t x) l
+    applyWrappers _ x                    = x
+
+nextSolverTemplate :: Maybe Text -> Unify (TypeInfo 'Local)
+nextSolverTemplate mHint = do
+    i <- State.gets usNextId
+    State.modify $ \s -> s { usNextId = i + 1 }
+    return $ Template (TIdSolver i mHint) Nothing
+
+subtypeImpl :: QualState -> TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+subtypeImpl qstate actual expected reason ml ctx = do
+    let ctx' = InUnification expected actual reason : ctx
+    let reportMismatch d = reportError ml ctx' (TypeMismatch expected actual reason (Just d)) >> return (Just d)
+    dtraceM $ "subtypeImpl " ++ show actual ++ " <: " ++ show expected
+    case (actual, expected) of
+        (Unsupported msg, _) -> reportError ml ctx' (CustomError $ "unsupported expression: " <> msg) >> return (Just (BaseMismatch expected actual))
+        (_, Unsupported msg) -> reportError ml ctx' (CustomError $ "unsupported type: " <> msg) >> return (Just (BaseMismatch expected actual))
+
+        (BuiltinType NullPtrTy, Nonnull _) -> reportMismatch (MissingQualifier QNonnull expected actual)
+        (BuiltinType NullPtrTy, Nullable _) -> return Nothing
+        (BuiltinType NullPtrTy, Pointer _) -> return Nothing
+        (BuiltinType NullPtrTy, Owner _) -> return Nothing
+        (Nullable _, BuiltinType NullPtrTy) -> return Nothing
+        (Pointer _, BuiltinType NullPtrTy) -> return Nothing
+        (Owner _, BuiltinType NullPtrTy) -> return Nothing
+
+        (BuiltinType VoidTy, a) -> do
+            let tid = TIdAnonymous (Just "") -- Default hint for anonymous void*
+            bind tid Nothing a reason ml ctx' >> return Nothing
+        (a, BuiltinType VoidTy) -> do
+            let tid = TIdAnonymous (Just "")
+            bind tid Nothing a reason ml ctx' >> return Nothing
+
+        (Template t i, a) -> bind t i a reason ml ctx' >> return Nothing
+        (a, Template t i) -> bind t i a reason ml ctx' >> return Nothing
+
+        (Qualified qs a, Qualified es e) -> do
+            let errNonnull = if Set.member QNonnull es && not (Set.member QNonnull qs)
+                             then Just (MissingQualifier QNonnull expected actual)
+                             else Nothing
+            let errNullable = if Set.member QNullable qs && not (Set.member QNullable es)
+                              then Just (BaseMismatch expected actual)
+                              else Nothing
+            let errConst = if Set.member QConst es && not (Set.member QConst qs) && not (allowCovariance qstate)
+                           then Just (MissingQualifier QConst expected actual)
+                           else if Set.member QConst qs && not (Set.member QConst es) && qstate /= QualTop
+                           then Just (UnexpectedQualifier QConst expected actual)
+                           else Nothing
+            let errOwner = if Set.member QOwner es && not (Set.member QOwner qs)
+                           then Just (MissingQualifier QOwner expected actual)
+                           else Nothing
+            case catMaybes [errNonnull, errNullable, errConst, errOwner] of
+                (err:_) -> reportMismatch err
+                []      -> subtypeRecursive qstate a e reason ml ctx'
+
+        (Qualified qs a, e) -> do
+            let errNullable = if Set.member QNullable qs
+                              then Just (BaseMismatch expected actual)
+                              else Nothing
+            let errConst = if Set.member QConst qs && qstate /= QualTop
+                           then Just (UnexpectedQualifier QConst expected actual)
+                           else Nothing
+            case catMaybes [errNullable, errConst] of
+                (err:_) -> reportMismatch err
+                []      -> subtypeRecursive qstate a e reason ml ctx'
+
+        (a, Qualified es e) -> do
+            let check q = case q of
+                    QNonnull -> if Set.member QNonnull es
+                                then case a of
+                                    Function {} -> Nothing
+                                    Array {} -> Nothing
+                                    Pointer (Function {}) -> Nothing
+                                    Pointer (Array {}) -> Nothing
+                                    _ -> Just (MissingQualifier QNonnull expected actual)
+                                else Nothing
+                    QConst -> if Set.member QConst es && not (allowCovariance qstate)
+                              then Just (MissingQualifier QConst expected actual)
+                              else Nothing
+                    QOwner -> if Set.member QOwner es && not (Set.member QOwner (TS.ftQuals (TS.toFlat actual)))
+                              then Just (MissingQualifier QOwner expected actual)
+                              else Nothing
+                    _ -> Nothing
+            case catMaybes [check QNonnull, check QConst, check QOwner] of
+                (err:_) -> reportMismatch err
+                []      -> subtypeRecursive qstate a e reason ml ctx'
+
+        (Sized a _, Sized e _)   -> subtypeRecursive qstate a e reason ml ctx'
+        (Sized a _, e)           -> subtypeRecursive qstate a e reason ml ctx'
+        (_, Sized _ _)           -> reportMismatch (BaseMismatch expected actual)
+
+        (Pointer _, Pointer _) -> fmap (wrap InPointer) <$> subtypePtr qstate actual expected reason ml ctx'
+        (Array (Just _) _, Pointer _) -> fmap (wrap InPointer) <$> subtypePtr qstate actual expected reason ml ctx'
+        (Pointer _, Array (Just _) _) -> fmap (wrap InPointer) <$> subtypePtr qstate actual expected reason ml ctx'
+        (Array (Just a) ds1, Array (Just e) ds2) -> do
+            m1 <- fmap (wrap InArray) <$> subtypeRecursive qstate a e reason ml ctx'
+            if length ds1 /= length ds2
+                then reportMismatch (BaseMismatch expected actual)
+                else do
+                    m2 <- foldM (\m (d1, d2) -> (m <|>) . fmap (wrap InArray) <$> subtypeRecursive qstate d1 d2 reason ml ctx') Nothing (zip ds1 ds2)
+                    return $ m1 <|> m2
+
+        (Function ra pa, Pointer e) -> subtypeRecursive qstate (Function ra pa) e reason ml ctx'
+        (Pointer a, Function re pe) -> subtypeRecursive qstate a (Function re pe) reason ml ctx'
+
+        (Pointer a, TypeRef FuncRef (L _ _ tid) args) -> do
+            ts <- State.gets usTypeSystem
+            case TS.lookupType (TS.templateIdBaseName tid) ts of
+                Just descr ->
+                    let descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) args)) descr
+                    in case descr' of
+                        FuncDescr _ _ ret params ->
+                            subtypeRecursive qstate (Pointer a) (Pointer (Function ret params)) reason ml ctx'
+                        _ -> reportMismatch (BaseMismatch expected actual)
+                _ -> reportMismatch (BaseMismatch expected actual)
+
+        (TypeRef FuncRef (L _ _ tid) args, Pointer e) -> do
+            ts <- State.gets usTypeSystem
+            case TS.lookupType (TS.templateIdBaseName tid) ts of
+                Just descr ->
+                    let descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip (TS.getDescrTemplates descr) args)) descr
+                    in case descr' of
+                        FuncDescr _ _ ret params ->
+                            subtypeRecursive qstate (Function ret params) e reason ml ctx'
+                        _ -> reportMismatch (BaseMismatch expected actual)
+                _ -> reportMismatch (BaseMismatch expected actual)
+
+        (Function ra pa, Function re pe) -> do
+            mRet <- fmap (wrap InFunctionReturn) <$> subtype ra re reason ml ctx'
+            let expCount = length (filter (not . isVarArg) pe)
+                actCount = length pa
+            if actCount < expCount
+                then reportError ml ctx' (TooFewArgs expCount actCount) >> reportMismatch (ArityMismatch expCount actCount)
+                else if actCount > expCount && not (any isVarArg pe)
+                    then reportError ml ctx' (TooManyArgs expCount actCount) >> reportMismatch (ArityMismatch expCount actCount)
+                    else do
+                        mArgs <- foldM (\m (i, (p_act, p_exp)) -> (m <|>) . fmap (wrap (InFunctionParam i)) <$> subtype p_exp p_act reason ml ctx') Nothing (zip [0..] (zip pa (filter (not . isVarArg) pe)))
+                        return $ mRet <|> mArgs
+
+        (TypeRef r1 (L _ _ n1) a1, TypeRef r2 (L _ _ n2) a2)
+            | (r1 == r2 || r1 == TS.UnresolvedRef || r2 == TS.UnresolvedRef) && n1 == n2 && length a1 == length a2 ->
+                foldM (\m (v1, v2) -> (m <|>) <$> unifyRecursive QualUnshielded v1 v2 reason ml ctx') Nothing (zip a1 a2)
+
+        (BuiltinType b1, BuiltinType b2) | b1 == b2 -> return Nothing
+        (Singleton b1 v1, Singleton b2 v2) | b1 == b2 && v1 == v2 -> return Nothing
+        (Singleton b1 v1, Singleton b2 v2) | b1 == b2 && v1 /= v2 -> reportMismatch (BaseMismatch expected actual)
+        (Singleton b1 _, BuiltinType b2) | b1 == b2 -> return Nothing
+        (BuiltinType b1, Singleton b2 _) | b1 == b2 -> return Nothing
+
+        (TypeRef TS.EnumRef _ _, BuiltinType b) | TS.isInt b -> return Nothing
+
+        (a, e) | a == e -> return Nothing
+        (a, e) -> if compatible a e
+                    then return Nothing
+                    else reportMismatch (BaseMismatch expected actual)
+  where
+    wrap mctx detail = MismatchDetail expected actual reason (Just (mctx, detail))
+
+subtypePtr :: QualState -> TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+subtypePtr qstate actual expected reason ml ctx = do
+    let ctx' = InUnification expected actual reason : ctx
+    let reportMismatch d = reportError ml ctx' (TypeMismatch expected actual reason (Just d)) >> return (Just d)
+    ab1 <- resolveType =<< applyBindings actual
+    eb1 <- resolveType =<< applyBindings expected
+    case (ab1, eb1) of
+        (Const a, Const e) -> subtypePtr qstate a e reason ml ctx'
+        (a, Const e)       -> subtypePtr' qstate True a e reason ml ctx'
+        (Const _, _)       -> reportMismatch (MissingQualifier QConst expected actual)
+        _                  -> subtypePtr' qstate (isPtrToConst eb1) ab1 eb1 reason ml ctx'
+  where
+    isPtrToConst = \case
+        Pointer e -> isTargetConst e
+        Array (Just e) _ -> isTargetConst e
+        _ -> False
+
+    isTargetConst = \case
+        Fix (QualifiedF qs t) -> QConst `Set.member` qs || isTargetConst t
+        Fix (VarF _ t) -> isTargetConst t
+        Fix (SizedF t _) -> isTargetConst t
+        _ -> False
+
+subtypePtr' :: QualState -> Bool -> TypeInfo 'Local -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify (Maybe (MismatchDetail 'Local))
+subtypePtr' qstate isCurrentConst actual expected reason ml ctx = do
+    let ctx' = InUnification expected actual reason : ctx
+    let reportMismatch d = reportError ml ctx' (TypeMismatch expected actual reason (Just d)) >> return (Just d)
+    ab1 <- resolveType =<< applyBindings actual
+    eb1 <- resolveType =<< applyBindings expected
+    let canBeCovariant = allowCovariance qstate
+    let nextQstate = stepQual qstate isCurrentConst
+    let subUnify a e = do
+            if canBeCovariant
+                then subtypeRecursive nextQstate a e reason ml ctx'
+                else unifyRecursive nextQstate a e reason ml ctx'
+    case (ab1, eb1) of
+        (Pointer a, Pointer e) -> subUnify a e
+        (Array (Just a) _, Pointer e) -> subUnify a e
+        (Pointer a, Array (Just e) _) -> subUnify a e
+        (a, e) -> if canBeCovariant
+                    then subtypeRecursive nextQstate a e reason ml ctx'
+                    else if compatible a e
+                        then return Nothing
+                        else reportMismatch (BaseMismatch expected actual)
+
+compatible :: TypeInfo 'Local -> TypeInfo 'Local -> Bool
+compatible t1 t2 | dtrace ("compatible: " ++ show t1 ++ " vs " ++ show t2) (t1 == t2) = True
+compatible t1 t2 | isNetworkingStruct t1 && isNetworkingStruct t2 = True
+compatible (ExternalType (L _ _ n1)) (ExternalType (L _ _ n2)) = TS.templateIdBaseName n1 == TS.templateIdBaseName n2
+compatible (BuiltinType NullPtrTy) (Pointer _) = True
+compatible (Pointer _) (BuiltinType NullPtrTy) = True
+compatible (BuiltinType NullPtrTy) (Nullable _) = True
+compatible (Nullable _) (BuiltinType NullPtrTy) = True
+compatible (Template _ _) _ = True
+compatible _ (Template _ _) = True
+compatible (Pointer _) (Array _ _) = True
+compatible (Array _ _) (Pointer _) = True
+compatible (BuiltinType b1) (BuiltinType b2)
+    | b1 == b2 = True
+    | TS.isInt b1 && TS.isInt b2 = True
+    | b1 == BoolTy && TS.isInt b2 = True
+    | TS.isInt b1 && b2 == BoolTy = True
+    | otherwise = False
+compatible (Singleton b1 _) (BuiltinType b2) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (BuiltinType b1) (Singleton b2 _) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (Singleton b1 _) (Singleton b2 _) = compatible (BuiltinType b1) (BuiltinType b2)
+compatible (IntLit (L _ _ v1)) (IntLit (L _ _ v2)) = v1 == v2
+compatible (IntLit (L _ _ v1)) (Singleton S32Ty v2) = (read (T.unpack (TS.templateIdBaseName v1)) :: Integer) == v2
+compatible (Singleton S32Ty v1) (IntLit (L _ _ v2)) = v1 == (read (T.unpack (TS.templateIdBaseName v2)) :: Integer)
+compatible (IntLit _) (BuiltinType b) = TS.isInt b
+compatible (BuiltinType b) (IntLit _) = TS.isInt b
+
+compatible (Var _ a) e = compatible a e
+compatible a (Var _ e) = compatible a e
+compatible _ _ = False
+
+
+bind :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> MismatchReason -> Maybe (Lexeme Text) -> [Context 'Local] -> Unify ()
+bind tid index ty reason ml ctx = do
+    rep <- applyBindings (Template tid index)
+    case rep of
+        Template tid' index' -> do
+            bindings <- State.gets usBindings
+            let k = FullTemplate tid' index'
+            case Map.lookup k bindings of
+                Just (existing, _) -> void $ unify existing ty reason ml ctx
+                Nothing ->
+                    case ty of
+                        Template tid'' i'' | tid'' == tid' && i'' == index' -> return ()
+                        _ | occurs tid' index' ty -> do
+                            let prov = FromContext (ErrorInfo ml ctx (TypeMismatch (Template tid' index') ty reason Nothing) [])
+                            dtraceM $ "BIND (Occurs): " ++ show (Template tid' index') ++ " -> " ++ show ty
+                            State.modify $ \s -> s { usBindings = Map.insert k (ty, prov) (usBindings s) }
+                        Unsupported _ -> return ()
+                        _ -> do
+                            let prov = FromContext (ErrorInfo ml ctx (TypeMismatch (Template tid' index') ty reason Nothing) [])
+                            dtraceM $ "BIND: " ++ show (Template tid' index') ++ " -> " ++ show ty
+                            State.modify $ \s -> s { usBindings = Map.insert k (ty, prov) (usBindings s) }
+        _ -> void $ unify rep ty reason ml ctx
+
+occurs :: TemplateId 'Local -> Maybe (TypeInfo 'Local) -> TypeInfo 'Local -> Bool
+occurs tid index ty = snd $ foldFix alg ty
+  where
+    alg f = (Fix (fmap fst f), (Fix (fmap fst f) == Template tid index) || any snd f)
+
+applyBindings :: TypeInfo 'Local -> Unify (TypeInfo 'Local)
+applyBindings ty = do
+    bindings <- State.gets usBindings
+    return $ resolveChain Set.empty ty bindings
+  where
+    resolveChain seen t@(Fix (TemplateF (FullTemplate tid i))) b =
+        let k = FullTemplate tid i in
+        if Set.member k seen
+        then t
+        else case Map.lookup k b of
+            Just (target, _) -> resolveChain (Set.insert k seen) target b
+            Nothing          -> t
+    resolveChain _ t _ = t
+
+applyBindingsDeep :: TypeInfo 'Local -> Unify (TypeInfo 'Local)
+applyBindingsDeep ty = do
+    bindings <- State.gets usBindings
+    let graph = Map.map (\(t, _) -> Set.singleton (TG.fromTypeInfo t)) bindings
+        initialKeys = TS.collectUniqueTemplateVars [ty]
+        resolvedMap = GS.solveAll graph initialKeys
+    return $ foldFix (alg resolvedMap) ty
+  where
+    alg m (TemplateF (FullTemplate tid i)) =
+        maybe (Template tid i) TG.toTypeInfo (Map.lookup (FullTemplate tid i) m)
+    alg _ f = Fix f
+
+resolveType :: TypeInfo 'Local -> Unify (TypeInfo 'Local)
+resolveType ty = do
+    ts <- State.gets usTypeSystem
+    return $ go ts Set.empty ty
+  where
+    go ts seen (TypeRef ref l@(L _ _ tid) args) =
+        let name = TS.templateIdBaseName tid in
+        if Set.member name seen
+        then TypeRef ref l (map (go ts seen) args)
+        else case TS.lookupType name ts of
+            Nothing -> TypeRef ref l (map (go ts seen) args)
+            Just descr ->
+                let tps = TS.getDescrTemplates descr
+                    args' = if null args && not (null tps)
+                            then [ TS.instantiate 0 Nothing (Map.fromList (zip tps args)) (TS.Template t Nothing) | t <- tps ]
+                            else args
+                    descr' = TS.instantiateDescr 0 Nothing (Map.fromList (zip tps args')) descr
+                in case descr' of
+                    AliasDescr _ _ target ->
+                        go ts (Set.insert name seen) target
+                    FuncDescr _ _ ret params ->
+                        go ts (Set.insert name seen) (Function ret params)
+                    _ ->
+                        let ref' = case descr' of
+                                     StructDescr{} -> TS.StructRef
+                                     UnionDescr{}  -> TS.UnionRef
+                                     EnumDescr{}   -> TS.EnumRef
+                                     _             -> TS.IntRef
+                        in TypeRef ref' (TS.getDescrLexeme descr') (map (go ts seen) args')
+    go ts seen (Fix (TS.VarF _ inner)) = go ts seen inner
+    go ts seen (Fix f) = Fix (fmap (go ts seen) f)
+
+reportError :: Maybe (Lexeme Text) -> [Context 'Local] -> TypeError 'Local -> Unify ()
+reportError ml ctx err = do
+    isFinal <- State.gets usFinalPass
+    dtraceM $ "reportError: final=" ++ show isFinal ++ " err=" ++ show err
+    when isFinal $ do
+        bindings <- State.gets usBindings
+        let allTypes = case err of
+                TypeMismatch expected actual _ _ -> expected : actual : concatMap getContextTypes ctx
+                _ -> concatMap getContextTypes ctx
+        let expls = concatMap (P.explainType bindings) allTypes
+        State.modify $ \s -> s { usErrors = usErrors s ++ [ErrorInfo ml ctx err (P.dedupDocs expls)] }
+  where
+    getContextTypes = \case
+        InUnification e a _ -> [e, a]
+        _ -> []
diff --git a/src/Language/Cimple/Analysis/Types.hs b/src/Language/Cimple/Analysis/Types.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Types.hs
@@ -0,0 +1,30 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Types
+    ( FunctionName
+    , NodeId
+    , Context
+    , lookupOrError
+    ) where
+
+import           Data.Fix        (Fix (..))
+import           Data.Map.Strict (Map)
+import qualified Data.Map.Strict as Map
+import           Data.Maybe      (fromMaybe)
+import           Data.Set        (Set)
+import           Data.Text       (Text)
+import qualified Data.Text       as Text
+import           GHC.Stack       (HasCallStack)
+import qualified Language.Cimple as C
+
+-- | A unique identifier for a C AST node.
+type NodeId = Int
+
+-- | The call-string context, limited to depth k.
+type Context = [NodeId]
+
+-- | A function name is just Text.
+type FunctionName = Text
+
+-- | A safer version of 'Map.!'.
+lookupOrError :: (Ord k, Show k) => String -> Map k a -> k -> a
+lookupOrError context m k = fromMaybe (error $ context ++ ": Key not found in map: " ++ show k) (Map.lookup k m)
diff --git a/src/Language/Cimple/Analysis/Worklist.hs b/src/Language/Cimple/Analysis/Worklist.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Analysis/Worklist.hs
@@ -0,0 +1,37 @@
+module Language.Cimple.Analysis.Worklist (
+    Worklist,
+    empty,
+    fromList,
+    push,
+    pushList,
+    pop,
+    toList
+) where
+
+import qualified Data.Foldable as F
+import           Data.Sequence (Seq, (|>))
+import qualified Data.Sequence as Seq
+
+newtype Worklist a = Worklist (Seq a)
+    deriving (Show, Eq)
+
+empty :: Worklist a
+empty = Worklist Seq.empty
+
+fromList :: [a] -> Worklist a
+fromList = Worklist . Seq.fromList
+
+push :: a -> Worklist a -> Worklist a
+push a (Worklist s) = Worklist (s |> a)
+
+pushList :: [a] -> Worklist a -> Worklist a
+pushList l (Worklist s) = Worklist (s <> Seq.fromList l)
+
+pop :: Worklist a -> Maybe (a, Worklist a)
+pop (Worklist s) =
+    case Seq.viewl s of
+        Seq.EmptyL  -> Nothing
+        a Seq.:< s' -> Just (a, Worklist s')
+
+toList :: Worklist a -> [a]
+toList (Worklist s) = F.toList s
diff --git a/src/Language/Cimple/Hic.hs b/src/Language/Cimple/Hic.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic.hs
@@ -0,0 +1,30 @@
+{-# LANGUAGE LambdaCase #-}
+{-# LANGUAGE RankNTypes #-}
+module Language.Cimple.Hic
+    ( lower
+    ) where
+
+import           Data.Fix                                  (Fix (..), foldFix)
+import           Data.Maybe                                (listToMaybe,
+                                                            mapMaybe)
+import qualified Language.Cimple                           as C
+import           Language.Cimple.Hic.Ast
+import           Language.Cimple.Hic.Feature               (featureLower)
+import qualified Language.Cimple.Hic.Inference.Iteration   as Iteration
+import qualified Language.Cimple.Hic.Inference.Raise       as Raise
+import qualified Language.Cimple.Hic.Inference.Scoped      as Scoped
+import qualified Language.Cimple.Hic.Inference.TaggedUnion as TaggedUnion
+
+-- | Lowers a Hic AST back to a standard Cimple AST.
+lower :: Node lexeme -> C.Node lexeme
+lower = foldFix $ \case
+    CimpleNode f -> Fix f
+    HicNode h    -> lowerHic h
+
+lowerHic :: HicNode lexeme (C.Node lexeme) -> C.Node lexeme
+lowerHic h =
+    let features = [TaggedUnion.feature, Scoped.feature, Raise.feature, Iteration.feature]
+        applyLower f = featureLower f h
+    in case listToMaybe $ mapMaybe applyLower features of
+        Just n  -> n
+        Nothing -> error "lowerHic: No feature could lower this node"
diff --git a/src/Language/Cimple/Hic/Analyze.hs b/src/Language/Cimple/Hic/Analyze.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Analyze.hs
@@ -0,0 +1,22 @@
+{-# LANGUAGE LambdaCase #-}
+module Language.Cimple.Hic.Analyze
+    ( nodeName
+    ) where
+
+import           Language.Cimple.Hic.Ast (HicNode (..))
+
+nodeName :: HicNode lexeme a -> String
+nodeName = \case
+    Scoped{}         -> "Scoped"
+    Raise{}          -> "Raise"
+    Transition{}     -> "Transition"
+    TaggedUnion{}    -> "TaggedUnion"
+    TaggedUnionGet{} -> "TaggedUnionGet"
+    Match{}          -> "Match"
+    TaggedUnionMemberAccess{} -> "TaggedUnionMemberAccess"
+    TaggedUnionGetTag{} -> "TaggedUnionGetTag"
+    TaggedUnionConstruct{} -> "TaggedUnionConstruct"
+    ForEach{}        -> "ForEach"
+    Find{}           -> "Find"
+    IterationElement{} -> "IterationElement"
+    IterationIndex{} -> "IterationIndex"
diff --git a/src/Language/Cimple/Hic/Ast.hs b/src/Language/Cimple/Hic/Ast.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Ast.hs
@@ -0,0 +1,289 @@
+{-# LANGUAGE DeriveGeneric         #-}
+{-# LANGUAGE DeriveTraversable     #-}
+{-# LANGUAGE DerivingVia           #-}
+{-# LANGUAGE FlexibleInstances     #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE OverloadedStrings     #-}
+{-# LANGUAGE ScopedTypeVariables   #-}
+{-# LANGUAGE Strict                #-}
+{-# LANGUAGE TemplateHaskell       #-}
+module Language.Cimple.Hic.Ast
+    ( Node, NodeF (..)
+    , HicNode (..)
+    , TaggedUnionMember (..)
+    , MatchCase (..)
+    , CleanupAction (..)
+    , ReturnIntent (..)
+    ) where
+
+import           Data.Aeson                   (FromJSON, FromJSON1, ToJSON,
+                                               ToJSON1)
+import           Data.Aeson.TH                (defaultOptions, deriveJSON1)
+import           Data.Bifunctor               (Bifunctor (..))
+import           Data.Fix                     (Fix (..), foldFix)
+import           Data.Foldable                (fold)
+import           Data.Functor.Classes         (Eq1, Ord1, Read1, Show1)
+import           Data.Functor.Classes.Generic (FunctorClassesDefault (..))
+import           Data.Hashable                (Hashable (..))
+import           Data.Hashable.Lifted         (Hashable1)
+import           Data.Text                    (Text)
+import qualified Data.Text                    as Text
+import           GHC.Generics                 (Generic, Generic1)
+import qualified Language.Cimple              as C
+
+-- | The High-level Cimple (Hic) AST.
+-- It wraps the base Cimple AST and adds a 'HicNode' constructor for lifted constructs.
+data NodeF lexeme a
+    = CimpleNode (C.NodeF lexeme a)
+    | HicNode (HicNode lexeme a)
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault (NodeF lexeme)
+
+instance Bifunctor NodeF where
+    bimap f g (CimpleNode cn) = CimpleNode (bimap f g cn)
+    bimap f g (HicNode hn)    = HicNode (bimap f g hn)
+
+type Node lexeme = Fix (NodeF lexeme)
+
+instance C.Concats (NodeF lexeme [lexeme]) lexeme where
+    concats (CimpleNode f) = C.concats f
+    concats (HicNode h)    = C.concats h
+
+instance C.Concats (HicNode lexeme [lexeme]) lexeme where
+    concats (Scoped r b c)    = r ++ b ++ concatMap C.concats c
+    concats (Raise o v r)     = fold o ++ v ++ C.concats r
+    concats (Transition f t)  = f ++ t
+    concats (TaggedUnion n tt tf ut uf m) =
+        [n] ++ tt ++ [tf] ++ ut ++ [uf] ++ concatMap C.concats m
+    concats (TaggedUnionGet _ p o _isPtr tf tv uf m e) = p ++ o ++ [tf] ++ tv ++ [uf] ++ [m] ++ e
+    concats (Match o _ tf c d) = o ++ [tf] ++ concatMap C.concats c ++ fold d
+    concats (TaggedUnionMemberAccess o uf m) = o ++ [uf] ++ [m]
+    concats (TaggedUnionGetTag _ p o _isPtr tf) = p ++ o ++ [tf]
+    concats (TaggedUnionConstruct o _isPtr ty tf tv uf m d) = o ++ [ty] ++ [tf] ++ tv ++ [uf] ++ [m] ++ d
+    concats (ForEach is in_ c s cons b _hi) = is ++ in_ ++ c ++ s ++ concat cons ++ b
+    concats (Find i in_ c s con p f m) = [i] ++ in_ ++ c ++ s ++ con ++ p ++ f ++ fold m
+    concats (IterationElement i c) = i : c
+    concats (IterationIndex i) = [i]
+
+instance C.Concats (TaggedUnionMember lexeme [lexeme]) lexeme where
+    concats (TaggedUnionMember e m t) = [e, m] ++ t
+
+instance C.Concats (MatchCase lexeme [lexeme]) lexeme where
+    concats (MatchCase v b) = v ++ b
+
+instance C.Concats (CleanupAction [lexeme]) lexeme where
+    concats (CleanupAction l b) = fold l ++ b
+
+instance C.Concats (ReturnIntent [lexeme]) lexeme where
+    concats (ReturnValue v) = v
+    concats (ReturnError e) = e
+    concats ReturnVoid      = []
+
+instance C.HasLocation lexeme => C.HasLocation (Node lexeme) where
+    sloc file (n :: Node lexeme) =
+        case foldFix (C.concats :: NodeF lexeme [lexeme] -> [lexeme]) n of
+            []  -> Text.pack file <> ":0:0"
+            l:_ -> C.sloc file (l :: lexeme)
+
+-- | Generic high-level language constructs inferred from C.
+data HicNode lexeme a
+    -- | A scoped block with mandatory cleanup.
+    -- Inferred from: { resource = alloc(); ... if (err) goto CLEANUP; ... CLEANUP: free(resource); }
+    = Scoped
+        { scopedResource :: a
+        , scopedBody     :: a
+        , scopedCleanup  :: [CleanupAction a]
+        }
+
+    -- | Explicit error propagation.
+    | Raise
+        { raiseOutParam :: Maybe a
+        , raiseValue    :: a
+        , raiseReturn   :: ReturnIntent a
+        }
+
+    -- | A structured protocol/state-machine transition.
+    | Transition
+        { transitionFrom :: a
+        , transitionTo   :: a
+        }
+
+    -- | A tagged union (sum type).
+    -- Inferred from: struct { Enum tag; union { ... } data; }
+    | TaggedUnion
+        { tuName       :: lexeme
+        , tuTagType    :: a
+        , tuTagField   :: lexeme
+        , tuUnionType  :: a
+        , tuUnionField :: lexeme
+        , tuMembers    :: [TaggedUnionMember lexeme a]
+        }
+
+    -- | A type-safe getter for a tagged union member.
+    -- Inferred from: Member* get(TaggedUnion *u) { return u->tag == VAL ? u->data.member : NULL; }
+    | TaggedUnionGet
+        { tugScope      :: C.Scope
+        , tugProto      :: a
+        , tugObject     :: a
+        , tugIsPointer  :: Bool
+        , tugTagField   :: lexeme
+        , tugTagValue   :: a
+        , tugUnionField :: lexeme
+        , tugMember     :: lexeme
+        , tugElse       :: a
+        }
+
+    -- | A pattern match over a tagged union.
+    -- Inferred from: switch (u->tag) { case VAL: ... u->data.member ... }
+    | Match
+        { matchObject   :: a
+        , matchIsPtr    :: Bool
+        , matchTagField :: lexeme
+        , matchCases    :: [MatchCase lexeme a]
+        , matchDefault  :: Maybe a
+        }
+
+    -- | A high-level access to a member of a tagged union.
+    -- Inferred from: u->data.member
+    | TaggedUnionMemberAccess
+        { tumaObject     :: a
+        , tumaUnionField :: lexeme
+        , tumaMember     :: lexeme
+        }
+
+    -- | Safe access to the tag of a tagged union.
+    | TaggedUnionGetTag
+        { tugtScope     :: C.Scope
+        , tugtProto     :: a
+        , tugtObject    :: a
+        , tugtIsPointer :: Bool
+        , tugtTagField  :: lexeme
+        }
+
+    -- | Atomic construction of a tagged union.
+    -- Inferred from: *u = (TaggedUnion) { tag, data };
+    -- Or coalesced from sequential assignments: u.tag = val; u.data.mem = val;
+    | TaggedUnionConstruct
+        { tucObject     :: a
+        , tucIsPointer  :: Bool
+        , tucType       :: lexeme
+        , tucTagField   :: lexeme
+        , tucTagValue   :: a
+        , tucUnionField :: lexeme
+        , tucMember     :: lexeme
+        , tucDataValue  :: a
+        }
+
+    -- | A high-level iteration over one or more collections (zipped).
+    -- Inferred from: for (init; cond; step) { ... c1[i] ... c2[i] ... }
+    | ForEach
+        { feIterators  :: [lexeme]
+        , feInit       :: a
+        , feCond       :: a
+        , feStep       :: a
+        , feContainers :: [a]
+        , feBody       :: a
+        , feHasIndex   :: Bool
+        }
+
+    -- | A high-level search operation.
+    -- Inferred from: for (init; cond; step) { if (pred) foundAction; } missingAction;
+    | Find
+        { fIterator  :: lexeme
+        , fInit      :: a
+        , fCond      :: a
+        , fStep      :: a
+        , fContainer :: a
+        , fPredicate :: a
+        , fOnFound   :: a
+        , fOnMissing :: Maybe a
+        }
+
+    -- | A high-level access to the current element in an iteration.
+    | IterationElement
+        { ieIterator  :: lexeme
+        , ieContainer :: a
+        }
+
+    -- | A high-level access to the current index in an iteration.
+    | IterationIndex
+        { iiIterator :: lexeme
+        }
+
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault (HicNode lexeme)
+
+instance Bifunctor HicNode where
+    bimap _ g (Scoped r b c) = Scoped (g r) (g b) (map (fmap g) c)
+    bimap _ g (Raise o v r) = Raise (fmap g o) (g v) (fmap g r)
+    bimap _ g (Transition fr to) = Transition (g fr) (g to)
+    bimap f g (TaggedUnion n tt tf ut uf m) =
+        TaggedUnion (f n) (g tt) (f tf) (g ut) (f uf) (map (bimap f g) m)
+    bimap f g (TaggedUnionGet sc p o isPtr tf tv uf m e) =
+        TaggedUnionGet sc (g p) (g o) isPtr (f tf) (g tv) (f uf) (f m) (g e)
+    bimap f g (Match o isPtr tf c d) = Match (g o) isPtr (f tf) (map (bimap f g) c) (fmap g d)
+    bimap f g (TaggedUnionMemberAccess o uf m) = TaggedUnionMemberAccess (g o) (f uf) (f m)
+    bimap f g (TaggedUnionGetTag sc p o isPtr tf) = TaggedUnionGetTag sc (g p) (g o) isPtr (f tf)
+    bimap f g (TaggedUnionConstruct o isPtr ty tf tv uf m d) =
+        TaggedUnionConstruct (g o) isPtr (f ty) (f tf) (g tv) (f uf) (f m) (g d)
+    bimap f g (ForEach is in_ c s cons b hi) = ForEach (map f is) (g in_) (g c) (g s) (map g cons) (g b) hi
+    bimap f g (Find i in_ c s con p found missing) = Find (f i) (g in_) (g c) (g s) (g con) (g p) (g found) (fmap g missing)
+    bimap f g (IterationElement i c) = IterationElement (f i) (g c)
+    bimap f _ (IterationIndex i) = IterationIndex (f i)
+
+data TaggedUnionMember lexeme a = TaggedUnionMember
+    { tumEnumVal :: lexeme
+    , tumMember  :: lexeme
+    , tumType    :: a
+    }
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault (TaggedUnionMember lexeme)
+
+instance Bifunctor TaggedUnionMember where
+    bimap f g (TaggedUnionMember e m t) = TaggedUnionMember (f e) (f m) (g t)
+
+data MatchCase lexeme a = MatchCase
+    { mcValue :: a
+    , mcBody  :: a
+    }
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault (MatchCase lexeme)
+
+instance Bifunctor MatchCase where
+    bimap _ g (MatchCase v b) = MatchCase (g v) (g b)
+
+data CleanupAction a
+    = CleanupAction
+        { cleanupLabel :: Maybe a
+        , cleanupBody  :: a
+        }
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault CleanupAction
+
+data ReturnIntent a
+    = ReturnVoid
+    | ReturnValue a
+    | ReturnError a -- The "sentinel" return value like -1 or nullptr
+    deriving (Show, Read, Eq, Ord, Generic, Generic1, Functor, Foldable, Traversable)
+    deriving (Show1, Read1, Eq1, Ord1) via FunctorClassesDefault ReturnIntent
+
+instance (Hashable lexeme, Hashable a) => Hashable (NodeF lexeme a)
+instance (Hashable lexeme, Hashable a) => Hashable (HicNode lexeme a)
+instance (Hashable lexeme, Hashable a) => Hashable (TaggedUnionMember lexeme a)
+instance (Hashable lexeme, Hashable a) => Hashable (MatchCase lexeme a)
+instance Hashable a => Hashable (CleanupAction a)
+instance Hashable a => Hashable (ReturnIntent a)
+
+instance Hashable lexeme => Hashable1 (NodeF lexeme)
+instance Hashable lexeme => Hashable1 (HicNode lexeme)
+instance Hashable lexeme => Hashable1 (TaggedUnionMember lexeme)
+instance Hashable lexeme => Hashable1 (MatchCase lexeme)
+instance Hashable1 CleanupAction
+instance Hashable1 ReturnIntent
+
+deriveJSON1 defaultOptions ''CleanupAction
+deriveJSON1 defaultOptions ''ReturnIntent
+deriveJSON1 defaultOptions ''MatchCase
+deriveJSON1 defaultOptions ''TaggedUnionMember
+deriveJSON1 defaultOptions ''HicNode
+deriveJSON1 defaultOptions ''NodeF
diff --git a/src/Language/Cimple/Hic/Context.hs b/src/Language/Cimple/Hic/Context.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Context.hs
@@ -0,0 +1,26 @@
+{-# LANGUAGE StrictData #-}
+module Language.Cimple.Hic.Context
+    ( Context (..)
+    , emptyContext
+    ) where
+
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.TypeSystem (TypeSystem)
+import           Language.Cimple.Hic.Ast             (HicNode, Node)
+
+data Context = Context
+    { ctxEnums         :: Map Text [Text]
+    , ctxUnions        :: Map Text [Text]
+    , ctxTypedefs      :: Map Text (C.Node (C.Lexeme Text))
+    -- | Registry of inferred TaggedUnions.
+    -- This is populated by the TaggedUnion feature.
+    , ctxTaggedUnions  :: Map Text (HicNode (C.Lexeme Text) (Node (C.Lexeme Text)))
+    , ctxTypeSystem    :: TypeSystem
+    } deriving (Eq, Show)
+
+
+emptyContext :: Context
+emptyContext = Context Map.empty Map.empty Map.empty Map.empty Map.empty
diff --git a/src/Language/Cimple/Hic/Feature.hs b/src/Language/Cimple/Hic/Feature.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Feature.hs
@@ -0,0 +1,28 @@
+{-# LANGUAGE RankNTypes #-}
+module Language.Cimple.Hic.Feature
+    ( Feature (..)
+    ) where
+
+import           Control.Monad.State.Strict        (State)
+import           Data.Text                         (Text)
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Hic.Ast           (HicNode, Node)
+import           Language.Cimple.Hic.Context       (Context)
+import           Language.Cimple.Hic.Program.Types (Program)
+
+data Feature = Feature
+    { featureName     :: Text
+    -- | Phase 1: Gather global context.
+    -- Runs in the fixpoint loop.
+    , featureGather   :: Program (C.Lexeme Text) -> Context -> Context
+
+    -- | Phase 2: Infer high-level constructs.
+    -- Runs in the fixpoint loop. Returns True if changes were made.
+    , featureInfer    :: Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+
+    -- | Phase 3: Validate invariants after inference is complete.
+    , featureValidate :: Context -> Program (C.Lexeme Text) -> [Text]
+
+    -- | Lowering: Convert high-level constructs back to Cimple.
+    , featureLower    :: forall l. HicNode l (C.Node l) -> Maybe (C.Node l)
+    }
diff --git a/src/Language/Cimple/Hic/Inference.hs b/src/Language/Cimple/Hic/Inference.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference.hs
@@ -0,0 +1,67 @@
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Hic.Inference
+    ( inferProgram
+    ) where
+
+import           Control.Monad                             (foldM)
+import           Control.Monad.State.Strict                (State, evalState)
+import           Data.Fix                                  (Fix (..), hoistFix)
+import           Data.List                                 (foldl')
+import           Data.Map.Strict                           (Map)
+import qualified Data.Map.Strict                           as Map
+import           Data.Text                                 (Text)
+import qualified Language.Cimple                           as C
+import           Language.Cimple.Hic.Ast                   (Node, NodeF (..))
+import           Language.Cimple.Hic.Context               (Context)
+import           Language.Cimple.Hic.Feature               (Feature (..))
+import           Language.Cimple.Hic.Inference.Context     (collectContext)
+import qualified Language.Cimple.Hic.Inference.Iteration   as Iteration
+import qualified Language.Cimple.Hic.Inference.Raise       as Raise
+import qualified Language.Cimple.Hic.Inference.Scoped      as Scoped
+import qualified Language.Cimple.Hic.Inference.TaggedUnion as TaggedUnion
+import           Language.Cimple.Hic.Program.Types         (Program (..))
+import qualified Language.Cimple.Program                   as Program
+
+-- | Global inference over an entire Program.
+inferProgram :: Program.Program Text -> (Map FilePath [Node (C.Lexeme Text)], [Text])
+inferProgram cprog =
+    let initialCtx = collectContext cprog
+        wrapNode = hoistFix CimpleNode
+        initialProg :: Program (C.Lexeme Text) = Program
+            { progAsts = Map.fromList [ (f, map wrapNode ns) | (f, ns) <- Program.toList cprog ]
+            , progDiagnostics = []
+            }
+
+        features = [TaggedUnion.feature, Scoped.feature, Raise.feature, Iteration.feature]
+
+        (finalProg, finalCtx) = fixpoint features initialCtx initialProg
+
+        diags = concatMap (\f -> featureValidate f finalCtx finalProg) features
+    in (progAsts finalProg, diags)
+
+-- | Runs the Gather and Infer phases for all features.
+-- We use a fixed number of passes (3) to ensure guaranteed termination while
+-- allowing enough iterations for feature interactions (e.g., TaggedUnion -> Iteration).
+fixpoint :: [Feature] -> Context -> Program (C.Lexeme Text) -> (Program (C.Lexeme Text), Context)
+fixpoint features ctx prog =
+    foldl' (\(p, c) _ -> onePass p c) (prog, ctx) [1..3 :: Int]
+  where
+    onePass p c =
+        let c' = foldl' (\acc f -> featureGather f p acc) c features
+            p' = evalState (inferAll features c' p) False
+        in (p', c')
+
+inferAll :: [Feature] -> Context -> Program (C.Lexeme Text) -> State Bool (Program (C.Lexeme Text))
+inferAll features ctx prog = do
+    newAsts <- mapM (inferFile features ctx) (Map.toList (progAsts prog))
+    return $ prog { progAsts = Map.fromList newAsts }
+
+inferFile :: [Feature] -> Context -> (FilePath, [Node (C.Lexeme Text)]) -> State Bool (FilePath, [Node (C.Lexeme Text)])
+inferFile features ctx (file, nodes) = do
+    newNodes <- mapM (inferNode features ctx file) nodes
+    return (file, newNodes)
+
+inferNode :: [Feature] -> Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+inferNode features ctx file node =
+    foldM (\n f -> featureInfer f ctx file n) node features
diff --git a/src/Language/Cimple/Hic/Inference/Context.hs b/src/Language/Cimple/Hic/Inference/Context.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Context.hs
@@ -0,0 +1,45 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.Context
+    ( collectContext
+    ) where
+
+import           Data.Fix                            (Fix (..))
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+import           Language.Cimple.Hic.Context         (Context (..))
+import qualified Language.Cimple.Program             as Program
+
+collectContext :: Program.Program Text -> Context
+collectContext prog =
+    let tus = Program.toList prog
+        typeSystem = TS.collect tus
+        ctx = foldl (flip collectFile) (initialContext { ctxTypeSystem = typeSystem }) tus
+    in ctx
+  where
+    initialContext = Context Map.empty Map.empty Map.empty Map.empty Map.empty
+
+    collectFile (_, nodes) ctx = foldl (flip collectNode) ctx nodes
+
+    collectNode (Fix node) ctx =
+        let ctx' = case node of
+                C.EnumDecl name members _ ->
+                    ctx { ctxEnums = Map.insert (C.lexemeText name) (map extractEnumMember members) (ctxEnums ctx) }
+                C.Union name members ->
+                    ctx { ctxUnions = Map.insert (C.lexemeText name) (map extractMemberName members) (ctxUnions ctx) }
+                C.Struct name members ->
+                    ctx { ctxUnions = Map.insert (C.lexemeText name) (map extractMemberName members) (ctxUnions ctx) }
+                C.Typedef ty name ->
+                    ctx { ctxTypedefs = Map.insert (C.lexemeText name) ty (ctxTypedefs ctx) }
+                _ -> ctx
+        in foldl (flip collectNode) ctx' node
+
+    extractEnumMember (Fix (C.Enumerator name _)) = C.lexemeText name
+    extractEnumMember _                           = ""
+
+    extractMemberName (Fix node) = case node of
+        C.MemberDecl (Fix (C.VarDecl _ name _)) Nothing ->
+            C.lexemeText name
+        _ -> ""
diff --git a/src/Language/Cimple/Hic/Inference/Iteration.hs b/src/Language/Cimple/Hic/Inference/Iteration.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Iteration.hs
@@ -0,0 +1,362 @@
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RankNTypes          #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Hic.Inference.Iteration
+    ( feature
+    ) where
+
+import           Control.Monad.State.Strict          (State, modify)
+import qualified Control.Monad.State.Strict          as State
+import           Data.Fix                            (Fix (..), foldFix)
+import           Data.Foldable                       (foldMap)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Maybe                          (listToMaybe)
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Hic.Ast             (HicNode (..), Node,
+                                                      NodeF (..))
+import           Language.Cimple.Hic.Context         (Context (..))
+import           Language.Cimple.Hic.Feature         (Feature (..))
+import           Language.Cimple.Hic.Inference.Utils (dummyLexeme, getTypeName)
+import           Language.Cimple.Hic.Program.Types   (Program (..))
+
+feature :: Feature
+feature = Feature
+    { featureName     = "Iteration"
+    , featureGather   = \_ ctx -> ctx
+    , featureInfer    = infer
+    , featureValidate = validate
+    , featureLower    = lower
+    }
+
+-- | Phase 2: Infer Iteration constructs.
+infer :: Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+infer ctx _file node = snd (foldFix alg node) Map.empty
+  where
+    alg f =
+        let original = Fix (fmap fst f)
+        in (original, \env -> do
+            let env' = updateEnv env (fmap fst f)
+            f' <- traverse (\(_, transform) -> transform env') f
+            let n' = Fix f'
+            case attemptTransform ctx env' n' of
+                Just newNode -> modify (const True) >> return newNode
+                Nothing      -> return n')
+
+attemptTransform :: Context -> Map Text Text -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+attemptTransform _ctx _env node =
+    case node of
+        Fix (CimpleNode (C.ForStmt lInit lCond lStep lBody)) ->
+            inferFor lInit lCond lStep lBody
+        Fix (CimpleNode (C.CompoundStmt stmts)) ->
+            Fix . CimpleNode . C.CompoundStmt <$> inferFind stmts
+        _ -> Nothing
+
+inferFor :: Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+inferFor lInit lCond lStep lBody = do
+    (itL, _) <- matchInit lInit
+    (itL2, _, _) <- matchCond lCond
+    let it = C.lexemeText itL
+    if it /= C.lexemeText itL2 then Nothing else do
+        _ <- matchStep it lStep
+        containers <- identifyContainers it lBody
+        if isAssigned it lBody then Nothing else do
+            let feBody' = substitute it containers lBody
+            return $ Fix $ HicNode $ ForEach
+                { feIterators  = replicate (length containers) itL
+                , feInit       = lInit
+                , feCond       = lCond
+                , feStep       = lStep
+                , feContainers = containers
+                , feBody       = feBody'
+                , feHasIndex   = hasIndex feBody'
+                }
+
+matchInit :: Node (C.Lexeme Text) -> Maybe (C.Lexeme Text, Node (C.Lexeme Text))
+matchInit (Fix (CimpleNode (C.VarDeclStmt (Fix (CimpleNode (C.VarDecl _ name []))) (Just val)))) =
+    Just (name, val)
+matchInit (Fix (CimpleNode (C.AssignExpr (Fix (CimpleNode (C.VarExpr name))) C.AopEq val))) =
+    Just (name, val)
+matchInit _ = Nothing
+
+matchCond :: Node (C.Lexeme Text) -> Maybe (C.Lexeme Text, C.BinaryOp, Node (C.Lexeme Text))
+matchCond (Fix (CimpleNode (C.BinaryExpr (Fix (CimpleNode (C.VarExpr name))) op bound))) =
+    Just (name, op, bound)
+matchCond _ = Nothing
+
+matchStep :: Text -> Node (C.Lexeme Text) -> Maybe ()
+matchStep it (Fix (CimpleNode (C.UnaryExpr op (Fix (CimpleNode (C.VarExpr name))))))
+    | it == C.lexemeText name && (op == C.UopIncr) = Just ()
+matchStep it (Fix (CimpleNode (C.AssignExpr (Fix (CimpleNode (C.VarExpr name))) C.AopPlus val)))
+    | it == C.lexemeText name && isOne val = Just ()
+matchStep _ _ = Nothing
+
+isOne :: Node (C.Lexeme Text) -> Bool
+isOne = foldFix $ \case
+    CimpleNode (C.LiteralExpr C.Int l) -> C.lexemeText l == "1"
+    _                                  -> False
+
+identifyContainers :: Text -> Node (C.Lexeme Text) -> Maybe [Node (C.Lexeme Text)]
+identifyContainers it bodyNode =
+    let usages = findUsages it bodyNode
+        indexings = [ c | Indexing c <- usages ]
+    in if null indexings
+       then Nothing
+       else do
+           let containerMap = Map.fromList [ (C.removeSloc (stripHic c), c) | c <- indexings ]
+           let uniqueContainers = Map.elems containerMap
+           if all isStable uniqueContainers then Just uniqueContainers else Nothing
+
+isStable :: Node (C.Lexeme Text) -> Bool
+isStable node = fst $ foldFix alg node
+  where
+    alg f = (stable, constant)
+      where
+        constant = case f of
+            CimpleNode (C.LiteralExpr _ _) -> True
+            _                              -> False
+
+        stable = case f of
+            CimpleNode (C.VarExpr _)                 -> True
+            CimpleNode (C.MemberAccess (s, _) _)     -> s
+            CimpleNode (C.PointerAccess (s, _) _)    -> s
+            CimpleNode (C.ArrayAccess (s, _) (_, c)) -> s && c
+            CimpleNode (C.ParenExpr (s, _))          -> s
+            _                                        -> False
+
+isAssigned :: Text -> Node (C.Lexeme Text) -> Bool
+isAssigned it node = fst $ foldFix alg node
+  where
+    alg :: NodeF (C.Lexeme Text) (Bool, Bool) -> (Bool, Bool)
+    alg f = (assigned, isIter)
+      where
+        isIter = case f of
+            CimpleNode (C.VarExpr i) -> C.lexemeText i == it
+            _                        -> False
+
+        assigned = (case f of
+            CimpleNode (C.AssignExpr (_, lhsIsIter) _ (rhsAssigned, _)) -> lhsIsIter || rhsAssigned
+            CimpleNode (C.UnaryExpr op (eAssigned, eIsIter)) ->
+                (op `elem` [C.UopIncr, C.UopDecr] && eIsIter) || eAssigned
+            _ -> any fst f)
+
+stripHic :: Node (C.Lexeme Text) -> C.Node (C.Lexeme Text)
+stripHic = foldFix $ \case
+    CimpleNode f -> Fix f
+    HicNode h    ->
+        case h of
+            IterationElement _ c -> Fix (C.ArrayAccess c (Fix (C.VarExpr (dummyLexeme "dummy"))))
+            IterationIndex _     -> Fix (C.VarExpr (dummyLexeme "dummy"))
+            _                    -> error "Unexpected HicNode in identifyContainers"
+
+data Usage = Indexing (Node (C.Lexeme Text))
+
+data UsageInfo = UsageInfo
+    { uiNode   :: Node (C.Lexeme Text)
+    , uiUsages :: [Usage]
+    , uiIsIter :: Bool
+    }
+
+findUsages :: Text -> Node (C.Lexeme Text) -> [Usage]
+findUsages it = uiUsages . foldFix alg
+  where
+    alg :: NodeF (C.Lexeme Text) UsageInfo -> UsageInfo
+    alg f = UsageInfo
+        { uiNode = Fix (fmap uiNode f)
+        , uiUsages = usages
+        , uiIsIter = isIter
+        }
+      where
+        isIter = case f of
+            CimpleNode (C.VarExpr i) -> C.lexemeText i == it
+            _                        -> False
+
+        usages = (case f of
+            CimpleNode (C.ArrayAccess container idx) ->
+                if uiIsIter idx then [Indexing (uiNode container)] else []
+            HicNode (IterationElement _ container) -> [Indexing (uiNode container)]
+            _ -> []) ++ foldMap uiUsages f
+
+isVar :: Text -> Node (C.Lexeme Text) -> Bool
+isVar it = foldFix $ \case
+    CimpleNode (C.VarExpr i) -> C.lexemeText i == it
+    HicNode (IterationIndex i) -> C.lexemeText i == it
+    _                        -> False
+
+substitute :: Text -> [Node (C.Lexeme Text)] -> Node (C.Lexeme Text) -> Node (C.Lexeme Text)
+substitute it containers = foldFix $ \f ->
+    case f of
+        CimpleNode (C.ArrayAccess c idx)
+            | isVar it idx ->
+                case listToMaybe [ con | con <- containers, C.removeSloc (stripHic c) == C.removeSloc (stripHic con) ] of
+                    Just con | length containers == 1 ->
+                        case extractLexeme idx of
+                            Just l  -> Fix (HicNode (IterationElement l con))
+                            Nothing -> error "substitute: expected VarExpr"
+                    _ -> Fix (CimpleNode (C.ArrayAccess c (Fix (HicNode (IterationIndex (dummyLexeme it))))))
+        CimpleNode (C.VarExpr i)
+            | C.lexemeText i == it ->
+                Fix (HicNode (IterationIndex i))
+        _ -> Fix f
+  where
+    extractLexeme :: Node (C.Lexeme Text) -> Maybe (C.Lexeme Text)
+    extractLexeme = foldFix $ \case
+        CimpleNode (C.VarExpr l)   -> Just l
+        CimpleNode (C.ParenExpr e) -> e
+        HicNode (IterationIndex l) -> Just l
+        _                          -> Nothing
+
+hasIndex :: Node (C.Lexeme Text) -> Bool
+hasIndex = foldFix $ \case
+    HicNode (IterationIndex _) -> True
+    f                          -> any id f
+
+inferFind :: [Node (C.Lexeme Text)] -> Maybe [Node (C.Lexeme Text)]
+inferFind stmts = do
+    (prefix, loop, suffix) <- findLoop stmts
+    case loop of
+        Fix (CimpleNode (C.ForStmt lInit lCond lStep lBody)) -> do
+            (itL, _) <- matchInit lInit
+            (itL2, _, _) <- matchCond lCond
+            let it = C.lexemeText itL
+            if it /= C.lexemeText itL2 then Nothing else do
+                _ <- matchStep it lStep
+                (lPred, foundAction) <- matchFindBody it lBody
+                containers <- identifyContainers it lPred
+                container <- listToMaybe containers
+                let newStmt = Fix $ HicNode $ Find
+                        { fIterator  = itL
+                        , fInit      = lInit
+                        , fCond      = lCond
+                        , fStep      = lStep
+                        , fContainer = container
+                        , fPredicate = substitute it [container] lPred
+                        , fOnFound   = substitute it [container] foundAction
+                        , fOnMissing = listToMaybe suffix
+                        }
+                return $ prefix ++ [newStmt] ++ drop 1 suffix
+        Fix (HicNode (ForEach (itL:_) lInit lCond lStep _ lBody _)) -> do
+            let it = C.lexemeText itL
+            (lPred, foundAction) <- matchFindBody it lBody
+            -- ForEach already has containers, but we want the one used in lPred
+            containers' <- identifyContainers it lPred
+            container <- listToMaybe containers'
+            let newStmt = Fix $ HicNode $ Find
+                    { fIterator  = itL
+                    , fInit      = lInit
+                    , fCond      = lCond
+                    , fStep      = lStep
+                    , fContainer = container
+                    , fPredicate = substitute it [container] lPred
+                    , fOnFound   = substitute it [container] foundAction
+                    , fOnMissing = listToMaybe suffix
+                    }
+            return $ prefix ++ [newStmt] ++ drop 1 suffix
+        _ -> Nothing
+
+findLoop :: [Node (C.Lexeme Text)] -> Maybe ([Node (C.Lexeme Text)], Node (C.Lexeme Text), [Node (C.Lexeme Text)])
+findLoop [] = Nothing
+findLoop (s@(Fix (CimpleNode C.ForStmt{})) : ss) = Just ([], s, ss)
+findLoop (s@(Fix (HicNode ForEach{})) : ss)      = Just ([], s, ss)
+findLoop (s : ss) = do
+    (p, l, su) <- findLoop ss
+    return (s:p, l, su)
+
+matchFindBody :: Text -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text), Node (C.Lexeme Text))
+matchFindBody it (Fix (CimpleNode (C.CompoundStmt [Fix (CimpleNode (C.IfStmt cond then_ Nothing)) ]))) =
+    if usesIterator it cond then Just (cond, then_) else Nothing
+matchFindBody it (Fix (CimpleNode (C.IfStmt cond (Fix (CimpleNode (C.CompoundStmt [then_]))) Nothing))) =
+    if usesIterator it cond then Just (cond, then_) else Nothing
+matchFindBody it (Fix (CimpleNode (C.IfStmt cond then_ Nothing))) =
+    if usesIterator it cond then Just (cond, then_) else Nothing
+matchFindBody _ _ = Nothing
+
+usesIterator :: Text -> Node (C.Lexeme Text) -> Bool
+usesIterator it = foldFix $ \case
+    CimpleNode (C.VarExpr i) | C.lexemeText i == it -> True
+    HicNode (IterationIndex i) | C.lexemeText i == it -> True
+    HicNode (IterationElement i _) | C.lexemeText i == it -> True
+    f -> any id f
+
+updateEnv :: Map Text Text -> NodeF (C.Lexeme Text) (Node (C.Lexeme Text)) -> Map Text Text
+updateEnv env (CimpleNode (C.VarDecl ty name _)) =
+    case getTypeName ty of
+        Just tyName -> Map.insert (C.lexemeText name) tyName env
+        Nothing     -> env
+updateEnv env (CimpleNode (C.VarDeclStmt (Fix (CimpleNode (C.VarDecl ty name _))) _)) =
+    case getTypeName ty of
+        Just tyName -> Map.insert (C.lexemeText name) tyName env
+        Nothing     -> env
+updateEnv env (CimpleNode (C.FunctionDefn _ (Fix (CimpleNode (C.FunctionPrototype _ _ params))) _)) =
+    foldl updateFromParam env params
+  where
+    updateFromParam e (Fix (CimpleNode (C.VarDecl ty name _))) =
+        case getTypeName ty of
+            Just tyName -> Map.insert (C.lexemeText name) tyName e
+            Nothing     -> e
+    updateFromParam e _ = e
+updateEnv env (CimpleNode (C.FunctionPrototype _ _ params)) =
+    foldl updateFromParam env params
+  where
+    updateFromParam e (Fix (CimpleNode (C.VarDecl ty name _))) =
+        case getTypeName ty of
+            Just tyName -> Map.insert (C.lexemeText name) tyName e
+            Nothing     -> e
+    updateFromParam e _ = e
+updateEnv env _ = env
+
+
+paraFix :: Functor f => (f (Fix f, a) -> a) -> Fix f -> a
+paraFix f = snd . foldFix (\x -> (Fix (fmap fst x), f x))
+
+validate :: Context -> Program (C.Lexeme Text) -> [Text]
+validate _ ctx = concatMap validateFile (Map.toList (progAsts ctx))
+  where
+    validateFile (file, nodes) = concatMap (checkIteration file) nodes
+
+    checkIteration file = paraFix $ \f ->
+        checkNode file (Fix (fmap fst f)) ++ foldMap snd f
+
+    checkNode file (Fix (CimpleNode (C.ForStmt lInit lCond lStep lBody))) =
+        case matchInit lInit of
+            Just (itL, _) ->
+                let it = C.lexemeText itL in
+                case matchCond lCond of
+                    Just (itL2, _, _) | it == C.lexemeText itL2 ->
+                        case matchStep it lStep of
+                            Just () -> checkIterationCandidate file itL lBody
+                            Nothing -> []
+                    _ -> []
+            _ -> []
+    checkNode _ _ = []
+
+    checkIterationCandidate file itL lBody =
+        let it = C.lexemeText itL
+            usages = findUsages it lBody
+            indexings = [ c | Indexing c <- usages ]
+        in if null indexings then []
+           else if isAssigned it lBody then [C.sloc file itL <> ": Induction variable '" <> it <> "' is modified within the loop body. Refactor to enable for_each lifting."]
+           else case Map.elems $ Map.fromList [ (stripHic c, c) | c <- indexings ] of
+               cs | any (not . isStable) cs -> [C.sloc file itL <> ": Container expression is not stable. Refactor to enable for_each lifting."]
+               _ -> []
+
+lower :: forall l. HicNode l (C.Node l) -> Maybe (C.Node l)
+lower (ForEach _is lInit lCond lStep _cons lBody _hi) =
+    Just $ Fix $ C.ForStmt lInit lCond lStep lBody
+
+lower (Find _i lInit lCond lStep _con lPred foundAction m) =
+    let body = Fix $ C.CompoundStmt [ Fix $ C.IfStmt lPred foundAction Nothing ]
+    in Just $ Fix $ C.Group $
+        [ Fix $ C.ForStmt lInit lCond lStep body ]
+        ++ maybe [] (:[]) m
+
+lower (IterationElement i c) =
+    Just $ Fix $ C.ArrayAccess c (Fix (C.VarExpr i))
+
+lower (IterationIndex i) =
+    Just $ Fix $ C.VarExpr i
+
+lower _ = Nothing
diff --git a/src/Language/Cimple/Hic/Inference/Raise.hs b/src/Language/Cimple/Hic/Inference/Raise.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Raise.hs
@@ -0,0 +1,87 @@
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.Raise
+    ( feature
+    ) where
+
+import           Control.Monad.State.Strict  (State, modify)
+import qualified Control.Monad.State.Strict  as State
+import           Data.Fix                    (Fix (..), foldFix, foldFixM)
+import           Data.Text                   (Text)
+import qualified Language.Cimple             as C
+import           Language.Cimple.Hic.Ast     (HicNode (..), Node, NodeF (..),
+                                              ReturnIntent (..))
+import           Language.Cimple.Hic.Context (Context)
+import           Language.Cimple.Hic.Feature (Feature (..))
+
+feature :: Feature
+feature = Feature
+    { featureName     = "Raise"
+    , featureGather   = \_ ctx -> ctx
+    , featureInfer    = infer
+    , featureValidate = \_ _ -> []
+    , featureLower    = lower
+    }
+
+data ErrorValueInfo = IsLiteral Text | OtherValue | IsErrorValue
+
+infer :: Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+infer _ctx _file = foldFixM alg
+  where
+    alg (CimpleNode (C.CompoundStmt stmts)) =
+        Fix . CimpleNode . C.CompoundStmt <$> inferRaise stmts
+    alg f = return $ Fix f
+
+    inferRaise [] = return []
+    inferRaise (s1 : s2 : ss)
+        | Just (out, val) <- matchAssign s1
+        , Just ret <- matchReturn s2
+        , isErrorValue ret = do
+            State.modify (const True)
+            let res = Fix $ HicNode $ Raise (Just out) val (ReturnError ret)
+            (res :) <$> inferRaise ss
+    inferRaise (s : ss) = (s :) <$> inferRaise ss
+
+    matchAssign :: Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text), Node (C.Lexeme Text))
+    matchAssign n = case unFix n of
+        CimpleNode (C.ExprStmt e) -> case unFix e of
+            CimpleNode (C.AssignExpr lhs C.AopEq val) -> Just (lhs, val)
+            _                                         -> Nothing
+        _ -> Nothing
+
+    matchReturn :: Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+    matchReturn n = case unFix n of
+        CimpleNode (C.Return (Just e)) -> Just e
+        _                              -> Nothing
+
+    isErrorValue :: Node (C.Lexeme Text) -> Bool
+    isErrorValue node = case foldFix alg' node of
+        IsErrorValue -> True
+        _            -> False
+      where
+        alg' (CimpleNode (C.LiteralExpr C.Int l))
+            | C.lexemeText l == "1" = IsErrorValue -- Could be literal 1 or error value
+            | C.lexemeText l == "-1" = IsErrorValue
+            | otherwise = IsLiteral (C.lexemeText l)
+        alg' (CimpleNode (C.UnaryExpr C.UopMinus inner)) =
+            case inner of
+                IsLiteral "1" -> IsErrorValue
+                IsErrorValue  -> IsErrorValue -- Handle -1 if 1 was already IsErrorValue
+                _             -> OtherValue
+        alg' (CimpleNode (C.LiteralExpr C.ConstId l))
+            | C.lexemeText l == "nullptr" = IsErrorValue
+        alg' (CimpleNode (C.LiteralExpr C.Bool l))
+            | C.lexemeText l == "false" = IsErrorValue
+        alg' _ = OtherValue
+
+lower :: HicNode l (C.Node l) -> Maybe (C.Node l)
+lower (Raise maybeOut val ret) =
+    Just $ Fix $ C.Group $
+        maybe [] (\out -> [Fix $ C.ExprStmt (Fix $ C.AssignExpr out C.AopEq val)]) maybeOut
+        ++ [lowerReturn ret]
+  where
+    lowerReturn ReturnVoid      = Fix $ C.Return Nothing
+    lowerReturn (ReturnValue v) = Fix $ C.Return (Just v)
+    lowerReturn (ReturnError e) = Fix $ C.Return (Just e)
+lower _ = Nothing
diff --git a/src/Language/Cimple/Hic/Inference/Scoped.hs b/src/Language/Cimple/Hic/Inference/Scoped.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Scoped.hs
@@ -0,0 +1,76 @@
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.Scoped
+    ( feature
+    ) where
+
+import           Control.Monad.State.Strict  (State)
+import qualified Control.Monad.State.Strict  as State
+import           Data.Fix                    (Fix (..), foldFix, foldFixM)
+import           Data.Text                   (Text)
+import qualified Debug.Trace                 as Debug
+import qualified Language.Cimple             as C
+import           Language.Cimple.Hic.Ast     (CleanupAction (..), HicNode (..),
+                                              Node, NodeF (..))
+import           Language.Cimple.Hic.Context (Context)
+import           Language.Cimple.Hic.Feature (Feature (..))
+
+debugging :: Bool
+debugging = False
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+feature :: Feature
+feature = Feature
+    { featureName     = "Scoped"
+    , featureGather   = \_ ctx -> ctx
+    , featureInfer    = infer
+    , featureValidate = \_ _ -> []
+    , featureLower    = lower
+    }
+
+infer :: Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+infer _ctx _file = foldFixM alg
+  where
+    alg (CimpleNode (C.CompoundStmt stmts)) = do
+        stmts' <- inferScoped stmts
+        return $ Fix $ CimpleNode $ C.CompoundStmt stmts'
+    alg f = return $ Fix f
+
+    inferScoped stmts
+        | (body, [Fix (CimpleNode (C.Label l cleanup))]) <- splitAt (length stmts - 1) stmts
+        , (resource : rest) <- body = do
+            dtraceM $ "inferScoped: found label " ++ show l
+            dtraceM $ "inferScoped: resource node " ++ show (fmap (const ()) (unFix resource))
+            if isResource resource
+                then do
+                    dtraceM $ "inferScoped: IS resource"
+                    if any (isGoto l) rest
+                        then do
+                            dtraceM $ "inferScoped: FOUND goto"
+                            State.modify (const True)
+                            let res = Fix $ HicNode $ Scoped resource (Fix $ CimpleNode $ C.Group rest) [CleanupAction (Just (Fix $ CimpleNode $ C.VarExpr l)) cleanup]
+                            return [res]
+                        else dtraceM "inferScoped: NO goto" >> return stmts
+                else dtraceM "inferScoped: NOT resource" >> return stmts
+    inferScoped stmts = return stmts
+
+    isResource (Fix (CimpleNode (C.VarDeclStmt (Fix (CimpleNode (C.VarDecl _ _ _))) (Just _)))) = True
+    isResource _ = False
+
+    isGoto l = foldFix $ \case
+        CimpleNode (C.Goto l') | C.lexemeText l == C.lexemeText l' -> True
+        f -> any id f
+
+lower :: HicNode l (C.Node l) -> Maybe (C.Node l)
+lower (Scoped resource body cleanup) =
+    Just $ Fix $ C.Group $ [resource, body] ++ concatMap lowerCleanup cleanup
+  where
+    lowerCleanup (CleanupAction (Just l) b) = [Fix $ C.Label (extractLexeme l) b]
+    lowerCleanup (CleanupAction Nothing b)  = [b]
+
+    extractLexeme (Fix (C.VarExpr l)) = l
+    extractLexeme _                   = error "lowerHic: expected label name"
+lower _ = Nothing
diff --git a/src/Language/Cimple/Hic/Inference/TaggedUnion.hs b/src/Language/Cimple/Hic/Inference/TaggedUnion.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/TaggedUnion.hs
@@ -0,0 +1,542 @@
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE RankNTypes          #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Hic.Inference.TaggedUnion
+    ( feature
+    ) where
+
+import           Control.Applicative                 ((<|>))
+import           Control.Monad                       (guard)
+import           Control.Monad.State.Strict          (State, modify)
+import qualified Control.Monad.State.Strict          as State
+import           Data.Bifunctor                      (Bifunctor (..))
+import           Data.Fix                            (Fix (..), foldFix)
+import           Data.Foldable                       (fold)
+import           Data.List                           (isPrefixOf)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Maybe                          (fromMaybe, mapMaybe)
+import           Data.Set                            (Set)
+import qualified Data.Set                            as Set
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import qualified Debug.Trace                         as Debug
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Hic.Ast             (HicNode (..),
+                                                      MatchCase (..), Node,
+                                                      TaggedUnionMember (..))
+import qualified Language.Cimple.Hic.Ast             as H
+import           Language.Cimple.Hic.Context         (Context (..))
+import           Language.Cimple.Hic.Feature         (Feature (..))
+import           Language.Cimple.Hic.Inference.Type  (getType)
+import           Language.Cimple.Hic.Inference.Utils (dummyLexeme, getTypeName,
+                                                      matchAccess,
+                                                      resolveTypedef)
+import           Language.Cimple.Hic.Program.Types   (Program (..))
+
+debugging :: Bool
+debugging = False
+
+dtrace :: String -> a -> a
+dtrace msg = if debugging then Debug.trace msg else id
+
+dtraceM :: Monad m => String -> m ()
+dtraceM msg = if debugging then Debug.traceM msg else return ()
+
+feature :: Feature
+feature = Feature
+    { featureName     = "TaggedUnion"
+    , featureGather   = gather
+    , featureInfer    = infer
+    , featureValidate = validate
+    , featureLower    = lower
+    }
+
+-- | Phase 1: Gather TaggedUnion definitions from the AST.
+gather :: Program (C.Lexeme Text) -> Context -> Context
+gather (prog :: Program (C.Lexeme Text)) ctx =
+    let -- traverse all nodes to find TaggedUnions
+        findTUs = snd . foldFix alg
+        alg f = (Fix (fmap fst f), (case f of
+            H.HicNode tu@TaggedUnion{} -> (C.lexemeText (tuName tu), fmap fst tu) : foldMap snd tu
+            _ -> foldMap snd f))
+        tus = concatMap (concatMap findTUs) (Map.elems (progAsts prog))
+    in dtrace ("gather TaggedUnions: " ++ show (Map.keys $ Map.fromList tus)) $
+       ctx { ctxTaggedUnions = Map.union (ctxTaggedUnions ctx) (Map.fromList tus) }
+
+-- | Phase 2: Infer TaggedUnion constructs.
+infer :: Context -> FilePath -> Node (C.Lexeme Text) -> State Bool (Node (C.Lexeme Text))
+infer ctx _file node = snd (foldFix alg node) Map.empty
+  where
+    alg f =
+        let original = Fix (fmap fst f)
+        in (original, \env -> do
+            let env' = updateEnv ctx env (fmap fst f)
+            f' <- traverse (\(_, transform) -> transform env') f
+            let n' = Fix f'
+            case attemptTransform ctx env' n' of
+                Just newNode -> dtraceM ("Transformed: " ++ show original ++ " -> " ++ show newNode) >> modify (const True) >> return newNode
+                Nothing      -> return n')
+
+attemptTransform :: Context -> Map Text Text -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+attemptTransform ctx env node =
+    case node of
+        Fix (H.CimpleNode (C.Struct name fields)) ->
+            inferStruct ctx name fields
+        Fix (H.CimpleNode (C.SwitchStmt expr cases)) ->
+            inferMatch ctx env expr cases
+        Fix (H.CimpleNode (C.FunctionDefn scope proto body)) ->
+            inferGetter ctx env scope proto body
+                <|> inferTagGetter ctx env scope proto body
+        Fix (H.CimpleNode (C.CompoundStmt stmts)) ->
+            Fix . H.CimpleNode . C.CompoundStmt <$> coalesceAssignments ctx env stmts
+        Fix (H.CimpleNode (C.Group stmts)) ->
+            Fix . H.CimpleNode . C.Group <$> coalesceAssignments ctx env stmts
+        _ -> Nothing
+
+coalesceAssignments :: Context -> Map Text Text -> [Node (C.Lexeme Text)] -> Maybe [Node (C.Lexeme Text)]
+coalesceAssignments ctx env stmts =
+    case go env stmts of
+        (stmts', True) -> Just stmts'
+        (_, False)     -> Nothing
+  where
+    go _ [] = ([], False)
+    go _ [s] = ([s], False)
+    go e (s1@(Fix f1):s2:ss) =
+        let e' = updateEnv ctx e f1
+            (rest, restChanged) = go e' (s2:ss)
+        in case (matchTagAssign s1, matchDataAssign s2) of
+            (Just (obj1, isPtr1, tagField, tagVal), Just (obj2, isPtr2, uf, mem, dataVal))
+                | isPtr1 == isPtr2 && stripLoc obj1 == stripLoc obj2 ->
+                    case getType ctx e obj1 of
+                        Just tyName ->
+                            case Map.lookup tyName (ctxTaggedUnions ctx) of
+                                Just tu | C.lexemeText (tuTagField tu) == tagField && C.lexemeText (tuUnionField tu) == uf ->
+                                    if isCorrectMember tu tagVal mem
+                                    then
+                                        let newStmt = Fix $ H.HicNode $
+                                                TaggedUnionConstruct obj1 isPtr1 (tuName tu) (tuTagField tu) tagVal (tuUnionField tu) (dummyLexeme mem) dataVal
+                                            (rest', _) = go e' ss
+                                        in (newStmt : rest', True)
+                                    else (s1 : rest, restChanged)
+                                _ -> (s1 : rest, restChanged)
+                        Nothing -> (s1 : rest, restChanged)
+            _ -> (s1 : rest, restChanged)
+
+    stripLoc = foldFix $ \case
+        H.CimpleNode n -> Fix $ H.CimpleNode (bimap (\(C.L _ c t) -> C.L (C.AlexPn 0 0 0) c t) id n)
+        H.HicNode n    -> Fix $ H.HicNode (bimap (\(C.L _ c t) -> C.L (C.AlexPn 0 0 0) c t) id n)
+
+    matchTagAssign (Fix (H.CimpleNode (C.ExprStmt (Fix (H.CimpleNode (C.AssignExpr lhs C.AopEq val)))))) = do
+        (obj, isPtr, field) <- matchAccess lhs
+        return (obj, isPtr, C.lexemeText field, val)
+    matchTagAssign _ = Nothing
+
+    matchDataAssign (Fix (H.CimpleNode (C.ExprStmt (Fix (H.CimpleNode (C.AssignExpr lhs C.AopEq val)))))) =
+        case lhs of
+            Fix (H.CimpleNode (C.MemberAccess base mem)) -> do
+                (obj, isPtr, uf) <- matchAccess base
+                return (obj, isPtr, C.lexemeText uf, C.lexemeText mem, val)
+            _ -> Nothing
+    matchDataAssign _ = Nothing
+
+    isCorrectMember tu tagVal mem =
+        let bless' v = any (\m -> C.lexemeText (tumEnumVal m) == C.lexemeText v && C.lexemeText (tumMember m) == mem) (tuMembers tu)
+        in case tagVal of
+            Fix (H.CimpleNode node) ->
+                case node of
+                    C.VarExpr v       -> bless' v
+                    C.LiteralExpr _ v -> bless' v
+                    _                 -> False
+            _ -> False
+
+updateEnv :: Context -> Map Text Text -> H.NodeF (C.Lexeme Text) (Node (C.Lexeme Text)) -> Map Text Text
+updateEnv ctx env = \case
+    H.CimpleNode (C.VarDecl ty name _) ->
+        case getTypeName ty of
+            Just tyName -> Map.insert (C.lexemeText name) tyName env
+            Nothing     -> env
+    H.CimpleNode (C.VarDeclStmt (Fix (H.CimpleNode (C.VarDecl ty name _))) _) ->
+        case getTypeName ty of
+            Just tyName -> Map.insert (C.lexemeText name) tyName env
+            Nothing     -> env
+    H.CimpleNode (C.FunctionDefn _ (Fix (H.CimpleNode (C.FunctionPrototype _ _ params))) _) ->
+        foldl updateFromParam env params
+    H.CimpleNode (C.FunctionPrototype _ _ params) ->
+        foldl updateFromParam env params
+    H.HicNode (H.ForEach iterators _ _ _ containers _ _) ->
+        foldl updateFromContainer env (zip iterators containers)
+    _ -> env
+  where
+    updateFromParam e (Fix (H.CimpleNode (C.VarDecl ty name _))) =
+        case getTypeName ty of
+            Just tyName -> Map.insert (C.lexemeText name) tyName e
+            Nothing     -> e
+    updateFromParam e _ = e
+
+    updateFromContainer e (iter, container) =
+        case getType ctx e container of
+            Just tyName -> Map.insert (C.lexemeText iter) tyName e
+            Nothing     -> e
+
+inferStruct :: Context -> C.Lexeme Text -> [Node (C.Lexeme Text)] -> Maybe (Node (C.Lexeme Text))
+inferStruct ctx name fields =
+    case fields of
+        [ Fix (H.CimpleNode (C.MemberDecl (Fix (H.CimpleNode (C.VarDecl tagType tagField []))) Nothing))
+            , Fix (H.CimpleNode (C.MemberDecl (Fix (H.CimpleNode (C.VarDecl unionType unionField []))) Nothing))
+            ] -> do
+            let eName = fromMaybe "" (getTypeName tagType)
+            let uName = fromMaybe "" (getTypeName unionType)
+            let enumName = resolveTypedef ctx eName
+            let unionName = resolveTypedef ctx uName
+
+            case (Map.lookup enumName (ctxEnums ctx), Map.lookup unionName (ctxUnions ctx)) of
+                (Just enumMembers, Just unionMembers) -> do
+                    let (mapping, _diags) = inferMapping (C.lexemeText name) enumMembers unionMembers
+                    return $ Fix $ H.HicNode $ TaggedUnion name tagType tagField unionType unionField mapping
+                (me, mu) ->
+                    let msg = "inferStruct " ++ T.unpack (C.lexemeText name) ++ " failed: enumName=" ++ T.unpack enumName ++ " (found=" ++ show (me /= Nothing) ++ "), unionName=" ++ T.unpack unionName ++ " (found=" ++ show (mu /= Nothing) ++ ")"
+                    in dtrace msg Nothing
+        _ -> Nothing
+
+inferMatch :: Context -> Map Text Text -> Node (C.Lexeme Text) -> [Node (C.Lexeme Text)] -> Maybe (Node (C.Lexeme Text))
+inferMatch ctx env expr cases = do
+    (obj, isPtr, tagField) <- matchTagAccess expr
+    tyName <- getType ctx env obj
+    tu <- Map.lookup tyName (ctxTaggedUnions ctx)
+    let (caseNodes, defaultNodes) = partitionCases cases
+    hicCases <- mapM (matchCase tu obj isPtr) caseNodes
+    defCase <- case defaultNodes of
+        []  -> return Nothing
+        [d] -> findDefault d
+        _   -> return Nothing
+    return $ Fix $ H.HicNode $ Match obj isPtr tagField hicCases defCase
+  where
+    partitionCases [] = ([], [])
+    partitionCases (c@(Fix (H.CimpleNode (C.Case _ _))):cs) =
+        let (cas, def) = partitionCases cs in (c:cas, def)
+    partitionCases (d@(Fix (H.CimpleNode (C.Default _))):cs) =
+        let (cas, def) = partitionCases cs in (cas, d:def)
+    partitionCases (Fix (H.CimpleNode (C.Group ss)):cs) =
+        let (cas, def) = partitionCases ss
+            (cas', def') = partitionCases cs
+        in (cas ++ cas', def ++ def')
+    partitionCases (_:cs) = partitionCases cs
+
+    matchTagAccess = matchAccess
+
+    matchCase tu obj isPtr (Fix (H.CimpleNode (C.Case valExpr body))) = do
+        guard $ isSupportedBody body
+        let transformedBody = liftMemberAccesses ctx tu obj isPtr body
+        return $ MatchCase valExpr (removeTrailingBreak transformedBody)
+    matchCase _ _ _ _ = Nothing
+
+    findDefault (Fix (H.CimpleNode (C.Default body))) = do
+        guard $ isSupportedBody body
+        return $ Just $ removeTrailingBreak body
+    findDefault _ = Nothing
+
+isSupportedBody :: Node lexeme -> Bool
+isSupportedBody (Fix (H.CimpleNode (C.CompoundStmt stmts))) =
+    case reverse stmts of
+        (Fix (H.CimpleNode C.Break):_)      -> True
+        (Fix (H.CimpleNode (C.Return _)):_) -> True
+        _                                   -> False
+isSupportedBody (Fix (H.CimpleNode (C.Return _))) = True
+isSupportedBody _ = False
+
+removeTrailingBreak :: Node lexeme -> Node lexeme
+removeTrailingBreak (Fix (H.CimpleNode (C.CompoundStmt stmts))) =
+    Fix $ H.CimpleNode $ C.CompoundStmt $ case reverse stmts of
+        (Fix (H.CimpleNode C.Break):rest) -> reverse rest
+        _                                 -> stmts
+removeTrailingBreak n = n
+
+liftMemberAccesses :: Context -> H.HicNode (C.Lexeme Text) (Node (C.Lexeme Text)) -> Node (C.Lexeme Text) -> Bool -> Node (C.Lexeme Text) -> Node (C.Lexeme Text)
+liftMemberAccesses _ tu obj isPtr = foldFix $ \f ->
+    case f of
+        H.CimpleNode (C.MemberAccess base member) ->
+            case matchUnionField base of
+                Just (obj', isPtr', uf) | isPtr' == isPtr && stripLoc obj' == stripLoc obj && uf == C.lexemeText (tuUnionField tu) ->
+                    Fix $ H.HicNode $ TaggedUnionMemberAccess obj' (dummyLexeme uf) member
+                _ -> Fix f
+        _ -> Fix f
+  where
+    matchUnionField base = do
+        (o, p, field) <- matchAccess base
+        return (o, p, C.lexemeText field)
+
+    stripLoc = foldFix $ \case
+        H.CimpleNode n -> Fix $ H.CimpleNode (bimap (\(C.L _ c t) -> C.L (C.AlexPn 0 0 0) c t) id n)
+        H.HicNode n    -> Fix $ H.HicNode (bimap (\(C.L _ c t) -> C.L (C.AlexPn 0 0 0) c t) id n)
+
+inferGetter :: Context -> Map Text Text -> C.Scope -> Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+inferGetter ctx env scope proto body =
+    case body of
+        Fix (H.CimpleNode (C.CompoundStmt [Fix (H.CimpleNode (C.Return (Just (Fix (H.CimpleNode (C.TernaryExpr cond thenExpr elseExpr))))))])) -> do
+            (obj, isPtr, tagField, tagVal) <- matchTagCheck cond
+            (unionField, member) <- matchMemberAccess thenExpr
+            tyName <- getType ctx env obj
+            _ <- Map.lookup tyName (ctxTaggedUnions ctx)
+            return $ Fix $ H.HicNode $ TaggedUnionGet scope proto obj isPtr tagField tagVal unionField member elseExpr
+        _ -> Nothing
+  where
+    matchTagCheck (Fix (H.CimpleNode (C.BinaryExpr lhs C.BopEq tagVal))) = do
+        (obj, isPtr, field) <- matchAccess lhs
+        return (obj, isPtr, field, tagVal)
+    matchTagCheck _ = Nothing
+
+    matchMemberAccess (Fix (H.CimpleNode (C.MemberAccess base member))) = do
+        (_, _, unionField) <- matchAccess base
+        return (unionField, member)
+    matchMemberAccess (Fix (H.CimpleNode (C.PointerAccess base member))) = do
+        (_, _, unionField) <- matchAccess base
+        return (unionField, member)
+    matchMemberAccess _ = Nothing
+
+
+inferTagGetter :: Context -> Map Text Text -> C.Scope -> Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text))
+inferTagGetter ctx env scope proto body =
+    case body of
+        Fix (H.CimpleNode (C.CompoundStmt [Fix (H.CimpleNode (C.Return (Just expr)))])) -> do
+            (obj, isPtr, tagField) <- matchTagAccess expr
+            tyName <- getType ctx env obj
+            _ <- Map.lookup tyName (ctxTaggedUnions ctx)
+            return $ Fix $ H.HicNode $ TaggedUnionGetTag scope proto obj isPtr tagField
+        _ -> Nothing
+  where
+    matchTagAccess = matchAccess
+
+
+inferMapping :: Text -> [Text] -> [Text] -> ([TaggedUnionMember (C.Lexeme Text) (Node (C.Lexeme Text))], [Text])
+inferMapping nameText enums unions =
+    let prefix = findCommonPrefix enums
+        (members, diags) = unzip $ map (mapEnum prefix) enums
+    in (mapMaybe id members, concat diags)
+  where
+    mapEnum prefix enumVal =
+        let normalized = T.toLower $ fromMaybe enumVal $ T.stripPrefix prefix enumVal
+        in case findMatch normalized unions of
+            Just unionMem -> (Just $ TaggedUnionMember (dummyLexeme enumVal) (dummyLexeme unionMem) (Fix (H.CimpleNode C.Continue)), [])
+            Nothing ->
+                let isSentinel = "invalid" `T.isSuffixOf` normalized || "unknown" `T.isSuffixOf` normalized
+                    diags = if isSentinel then [] else ["TaggedUnion " <> nameText <> ": could not find union member for enum value " <> enumVal]
+                in (Nothing, diags)
+
+    findMatch normalized unionsMems =
+        let stripped = T.replace "_" "" normalized
+            normalize m = T.replace "struct " "" $ T.replace "_" "" (T.toLower m)
+        in case filter (\m -> stripped `T.isSuffixOf` normalize m || normalize m `T.isSuffixOf` stripped) unionsMems of
+            (m:_) -> Just m
+            []    -> Nothing
+
+
+findCommonPrefix :: [Text] -> Text
+findCommonPrefix [] = ""
+findCommonPrefix [x] =
+    case T.breakOnEnd "_" x of
+        (p, s) | not (T.null p) && not (T.null s) -> p
+        _                                         -> ""
+findCommonPrefix (x:xs) = foldl commonPrefix x xs
+  where
+    commonPrefix a b = T.pack $ map fst $ takeWhile (uncurry (==)) $ zip (T.unpack a) (T.unpack b)
+
+
+-- | Phase 3: Validate invariants.
+validate :: Context -> Program (C.Lexeme Text) -> [Text]
+validate ctx (prog :: Program (C.Lexeme Text)) =
+    concatMap (validateFile ctx) (Map.toList (progAsts prog))
+
+validateFile :: Context -> (FilePath, [Node (C.Lexeme Text)]) -> [Text]
+validateFile ctx (file, nodes) =
+    concatMap (\node -> snd (foldFix alg node) Map.empty Nothing Map.empty) nodes
+  where
+    alg f = (Fix (fmap fst f), \env func safe ->
+        case f of
+            H.HicNode tu@TaggedUnion{} ->
+                checkTaggedUnion ctx (fmap fst tu) ++ foldMap (\(_, check) -> check env func safe) f
+
+            H.HicNode (Match obj _isPtr _tf cases def) ->
+                let diags = snd obj env func safe
+                    checkCase (MatchCase val body) =
+                        let safe' = maybe safe (bless ctx env (fst obj) (fst val) safe) (matchObjName (fst obj))
+                        in snd body env func safe'
+                in diags ++ concatMap checkCase cases ++ maybe [] (\d -> snd d env func safe) def
+
+            H.HicNode (TaggedUnionGet _ _ obj _isPtr _tf _tagVal uf m elseExpr) ->
+                let safe' = maybe safe (\name -> Map.insertWith Set.union name (Set.singleton (C.lexemeText m)) safe) (matchObjName (fst obj))
+                in snd obj env func safe ++
+                   checkAccess "low-level" ctx env file func safe' (Fix (H.CimpleNode (C.PointerAccess (fst obj) uf))) m ++
+                   snd elseExpr env func safe
+            -- Wait, the TaggedUnionGet member access check above is a bit broken because I'm constructing a temporary node.
+            -- Actually, I should just call 'checkAccess' directly.
+
+            H.HicNode (TaggedUnionMemberAccess obj _uf field) ->
+                snd obj env func safe ++
+                checkAccess "high-level" ctx env file func safe (fst obj) field
+
+            H.HicNode (TaggedUnionGetTag _ _ obj _isPtr _tf) ->
+                snd obj env func safe
+            H.HicNode TaggedUnionConstruct{} -> []
+
+            H.CimpleNode (C.FunctionDefn _ proto body) ->
+                case fst proto of
+                    Fix (H.CimpleNode (C.FunctionPrototype _ name _)) ->
+                        let func' = Just (C.lexemeText name)
+                            env' = updateEnv ctx env (fmap fst f)
+                        in snd body env' func' safe
+                    _ -> snd body env func safe
+
+            H.CimpleNode (C.CompoundStmt stmts) ->
+                snd $ foldl (\(e, acc) (orig, check) -> (updateEnv ctx e (unFix orig), acc ++ check e func safe)) (env, []) stmts
+
+            H.CimpleNode (C.Group stmts) ->
+                snd $ foldl (\(e, acc) (orig, check) -> (updateEnv ctx e (unFix orig), acc ++ check e func safe)) (env, []) stmts
+
+            H.CimpleNode (C.SwitchStmt expr _cases) ->
+                case matchAccess (fst expr) of
+                    Just (obj, _isPtr, _tf) ->
+                        case getType ctx env obj of
+                            Just tyName | Map.member tyName (ctxTaggedUnions ctx) ->
+                                [C.sloc file (nodeLexeme (fst expr)) <> ": in function '" <> fromMaybe "" func <> "': Switch on tagged union '" <> tyName <> "' was not lifted to a match. Check for missing break/return in cases."]
+                            _ -> foldMap (\(_, check) -> check env func safe) f
+                    Nothing -> foldMap (\(_, check) -> check env func safe) f
+
+            _ ->
+                let env' = updateEnv ctx env (fmap fst f)
+                    diags = foldMap (\(_, check) -> check env' func safe) f
+                    localDiags = case f of
+                        H.CimpleNode (C.MemberAccess obj field) -> checkAccess "low-level" ctx env' file func safe (fst obj) field
+                        H.CimpleNode (C.PointerAccess obj field) -> checkAccess "low-level" ctx env' file func safe (fst obj) field
+                        _ -> []
+                in diags ++ localDiags)
+
+type SafeAccesses = Map Text (Set Text)
+
+matchObjName :: Node (C.Lexeme Text) -> Maybe Text
+matchObjName = foldFix $ \case
+    H.CimpleNode node -> case node of
+        C.VarExpr l           -> Just (C.lexemeText l)
+        C.PointerAccess obj _ -> obj
+        C.MemberAccess obj _  -> obj
+        _                     -> Nothing
+    H.HicNode node -> case node of
+        H.IterationElement l _ -> Just (C.lexemeText l)
+        H.IterationIndex l     -> Just (C.lexemeText l)
+        _                      -> Nothing
+
+bless :: Context -> Map Text Text -> Node (C.Lexeme Text) -> Node (C.Lexeme Text) -> SafeAccesses -> Text -> SafeAccesses
+bless ctx env expr val safe name =
+    let tyName = case matchAccess expr of
+            Just (obj, _, _) -> getType ctx env obj
+            Nothing          -> getType ctx env expr
+    in case (tyName, val) of
+        (Just t, Fix (H.CimpleNode node)) ->
+            let bless' v =
+                    case Map.lookup t (ctxTaggedUnions ctx) of
+                        Just tu ->
+                            case filter (\m -> C.lexemeText (tumEnumVal m) == C.lexemeText v) (tuMembers tu) of
+                                (m:_) ->
+                                    let safeFields = Set.fromList [C.lexemeText (tumMember m), C.lexemeText (tuUnionField tu)]
+                                    in Map.insertWith Set.union name safeFields safe
+                                []    -> safe
+                        Nothing -> safe
+            in case node of
+                C.VarExpr v       -> bless' v
+                C.LiteralExpr _ v -> bless' v
+                _                 -> safe
+        _ -> safe
+
+checkTaggedUnion :: Context -> H.HicNode (C.Lexeme Text) (Node (C.Lexeme Text)) -> [Text]
+checkTaggedUnion ctx (TaggedUnion name tagType _ unionType _ _) =
+    let eName = fromMaybe "" (getTypeName tagType)
+        uName = fromMaybe "" (getTypeName unionType)
+        enumName = resolveTypedef ctx eName
+        unionName = resolveTypedef ctx uName
+    in case Map.lookup unionName (ctxUnions ctx) of
+        Just unionMembers ->
+            let enumMembers = fromMaybe [] (Map.lookup enumName (ctxEnums ctx))
+                (_, diags) = inferMapping (C.lexemeText name) enumMembers unionMembers
+            in diags
+        Nothing -> []
+checkTaggedUnion _ _ = []
+
+nodeLexeme :: Node (C.Lexeme Text) -> C.Lexeme Text
+nodeLexeme n = case foldFix C.concats n of
+    (l:_) -> l
+    []    -> dummyLexeme "unknown"
+
+checkAccess :: Text -> Context -> Map Text Text -> FilePath -> Maybe Text -> SafeAccesses -> Node (C.Lexeme Text) -> C.Lexeme Text -> [Text]
+checkAccess kind ctx env file func safe obj field =
+    case getType ctx env obj of
+        Just tyName | Map.member tyName (ctxTaggedUnions ctx) ->
+             if isSafe safe obj field
+             then []
+             else
+                 let loc = C.sloc file field
+                     msg = ": Unrecognized " <> kind <> " access to tagged union '" <> tyName <> "' field '" <> C.lexemeText field <> "'"
+                     fmsg = maybe "" (\f -> ": in function '" <> f <> "'") func
+             in [loc <> fmsg <> msg]
+        _ -> []
+
+isSafe :: SafeAccesses -> Node (C.Lexeme Text) -> C.Lexeme Text -> Bool
+isSafe safe obj field =
+    case matchObjName obj of
+        Just name -> maybe False (Set.member (C.lexemeText field)) (Map.lookup name safe)
+        Nothing   -> False
+
+
+-- | Lowering logic.
+lower :: forall l. H.HicNode l (C.Node l) -> Maybe (C.Node l)
+lower (TaggedUnion name tagType tagField unionType unionField _members) =
+    Just $ Fix $ C.Struct name
+        [ Fix $ C.MemberDecl (Fix $ C.VarDecl tagType tagField []) Nothing
+        , Fix $ C.MemberDecl (Fix $ C.VarDecl unionType unionField []) Nothing
+        ]
+
+lower (TaggedUnionGet scope proto obj isPtr tagField tagVal unionField member elseExpr) =
+    Just $ Fix $ C.FunctionDefn scope proto $
+        Fix $ C.CompoundStmt [Fix $ C.Return $ Just $
+            Fix $ C.TernaryExpr cond thenExpr elseExpr]
+  where
+    cond = Fix $ C.BinaryExpr (if isPtr then Fix (C.PointerAccess obj tagField) else Fix (C.MemberAccess obj tagField)) C.BopEq tagVal
+    thenExpr = Fix $ C.MemberAccess (if isPtr then Fix (C.PointerAccess obj unionField) else Fix (C.MemberAccess obj unionField)) member
+
+lower (Match obj isPtr tagField cases def) =
+    Just $ Fix $ C.SwitchStmt expr (map lowerCase cases ++ maybe [] ((:[]) . lowerDefault) def)
+  where
+    expr = Fix $ if isPtr then C.PointerAccess obj tagField else C.MemberAccess obj tagField
+    lowerCase (MatchCase val body) = Fix $ C.Case val (addTrailingBreak body)
+    lowerDefault body = Fix $ C.Default (addTrailingBreak body)
+
+lower (TaggedUnionMemberAccess obj unionField member) =
+    Just $ Fix $ C.MemberAccess (Fix $ C.PointerAccess obj unionField) member
+
+lower (TaggedUnionGetTag scope proto obj isPtr tagField) =
+    Just $ Fix $ C.FunctionDefn scope proto $
+        Fix $ C.CompoundStmt [Fix $ C.Return $ Just $
+            if isPtr then Fix (C.PointerAccess obj tagField) else Fix (C.MemberAccess obj tagField)]
+
+lower (TaggedUnionConstruct obj isPtr _ty tagField tagVal unionField member dataVal) =
+    Just $ Fix $ C.Group
+        [ Fix $ C.ExprStmt $ Fix $ C.AssignExpr lhsTag C.AopEq tagVal
+        , Fix $ C.ExprStmt $ Fix $ C.AssignExpr lhsData C.AopEq dataVal
+        ]
+  where
+    lhsTag = if isPtr then Fix (C.PointerAccess obj tagField) else Fix (C.MemberAccess obj tagField)
+    lhsData =
+        let base = if isPtr then Fix (C.PointerAccess obj unionField) else Fix (C.MemberAccess obj unionField)
+        in Fix $ C.MemberAccess base member
+
+lower _ = Nothing
+
+addTrailingBreak :: C.Node l -> C.Node l
+addTrailingBreak (Fix (C.CompoundStmt stmts)) =
+    Fix $ C.CompoundStmt $ case reverse stmts of
+        (Fix (C.Return _):_) -> stmts
+        (Fix C.Break:_)      -> stmts
+        _                    -> stmts ++ [Fix C.Break]
+addTrailingBreak n = n
+
diff --git a/src/Language/Cimple/Hic/Inference/Type.hs b/src/Language/Cimple/Hic/Inference/Type.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Type.hs
@@ -0,0 +1,63 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Hic.Inference.Type
+    ( getType
+    ) where
+
+import           Data.Fix                            (foldFix)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.TypeSystem (TypeDescr (..), TypeInfo,
+                                                      pattern TypeRef,
+                                                      lookupType)
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+
+import           Language.Cimple.Hic.Ast             (Node, NodeF (CimpleNode))
+import qualified Language.Cimple.Hic.Ast             as H
+import           Language.Cimple.Hic.Context         (Context (..))
+import           Language.Cimple.Hic.Inference.Utils (getTypeInfoName,
+                                                      resolveTypedef)
+
+getType :: Context -> Map Text Text -> Node (C.Lexeme Text) -> Maybe Text
+getType ctx env = foldFix $ \case
+    CimpleNode node -> case node of
+        C.VarExpr l -> do
+            let name = C.lexemeText l
+            case Map.lookup name env of
+                Just tyName -> Just $ resolveTypedef ctx tyName
+                Nothing ->
+                    -- Fallback to TypeSystem if not in env
+                    case lookupType name (ctxTypeSystem ctx) of
+                        Just (AliasDescr _ _ target) -> getTypeInfoName target
+                        _                            -> Nothing
+        C.PointerAccess mTyName field -> do
+            tyName <- mTyName
+            case lookupType tyName (ctxTypeSystem ctx) of
+                Just descr | Just mTy <- TS.lookupMemberType (C.lexemeText field) descr ->
+                    getTypeInfoName mTy
+                _ -> do
+                    -- Fallback to old heuristic
+                    fields <- Map.lookup tyName (ctxUnions ctx)
+                    if C.lexemeText field `elem` fields
+                        then Just "union member"
+                        else Nothing
+        C.MemberAccess mTyName field -> do
+            tyName <- mTyName
+            case lookupType tyName (ctxTypeSystem ctx) of
+                Just descr | Just mTy <- TS.lookupMemberType (C.lexemeText field) descr ->
+                    getTypeInfoName mTy
+                _ -> do
+                    fields <- Map.lookup tyName (ctxUnions ctx)
+                    if C.lexemeText field `elem` fields
+                        then Just "union member"
+                        else Nothing
+        C.ArrayAccess base _ -> base
+        C.ParenExpr e -> e
+        _ -> Nothing
+    H.HicNode node -> case node of
+        H.IterationElement _ container -> container
+        _                              -> Nothing
diff --git a/src/Language/Cimple/Hic/Inference/Utils.hs b/src/Language/Cimple/Hic/Inference/Utils.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Inference/Utils.hs
@@ -0,0 +1,56 @@
+{-# LANGUAGE LambdaCase #-}
+module Language.Cimple.Hic.Inference.Utils
+    ( getTypeName
+    , dummyLexeme
+    , matchAccess
+    , getTypeInfoName
+    , resolveTypedef
+    ) where
+
+import           Data.Fix                            (Fix (..), foldFix)
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.TypeSystem (TypeDescr (..), TypeInfo,
+                                                      TypeInfoF (..),
+                                                      lookupType)
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+import           Language.Cimple.Hic.Ast             (Node, NodeF (..))
+import           Language.Cimple.Hic.Context         (Context (..))
+
+getTypeName :: Node (C.Lexeme Text) -> Maybe Text
+getTypeName = foldFix $ \case
+    CimpleNode (C.TyUserDefined l) -> Just (C.lexemeText l)
+    CimpleNode (C.TyStruct l)      -> Just (C.lexemeText l)
+    CimpleNode (C.TyUnion l)       -> Just (C.lexemeText l)
+    CimpleNode (C.TyStd l)         -> Just (C.lexemeText l)
+    CimpleNode (C.TyPointer ty)    -> ty
+    CimpleNode (C.TyConst ty)      -> ty
+    CimpleNode (C.TyNonnull ty)    -> ty
+    CimpleNode (C.TyNullable ty)   -> ty
+    CimpleNode (C.TyOwner ty)      -> ty
+    CimpleNode (C.TyBitwise ty)    -> ty
+    _                              -> Nothing
+
+dummyLexeme :: Text -> C.Lexeme Text
+dummyLexeme t = C.L (C.AlexPn 0 0 0) C.IdVar t
+
+matchAccess :: Node (C.Lexeme Text) -> Maybe (Node (C.Lexeme Text), Bool, C.Lexeme Text)
+matchAccess (Fix (CimpleNode (C.PointerAccess obj field))) = Just (obj, True, field)
+matchAccess (Fix (CimpleNode (C.MemberAccess obj field)))  = Just (obj, False, field)
+matchAccess _                                              = Nothing
+
+getTypeInfoName :: TypeInfo p -> Maybe Text
+getTypeInfoName = foldFix $ \case
+    TypeRefF _ (C.L _ _ tid) _ -> Just (TS.templateIdToText tid)
+    PointerF t                 -> t
+    QualifiedF _ t             -> t
+    _                          -> Nothing
+
+resolveTypedef :: Context -> Text -> Text
+resolveTypedef c n =
+    case lookupType n (ctxTypeSystem c) of
+        Just (AliasDescr _ _ target) ->
+            case getTypeInfoName target of
+                Just next -> if next == n then n else resolveTypedef c next
+                Nothing   -> n
+        _ -> n
diff --git a/src/Language/Cimple/Hic/Pretty.hs b/src/Language/Cimple/Hic/Pretty.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Pretty.hs
@@ -0,0 +1,113 @@
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Pretty
+    ( ppNode
+    , showNode
+    , showNodePlain
+    ) where
+
+import           Data.Fix                      (foldFix)
+import           Data.Text                     (Text)
+import qualified Data.Text                     as T
+import qualified Language.Cimple               as C
+import           Language.Cimple.Hic.Ast
+import qualified Language.Cimple.Pretty        as CP
+import           Prettyprinter
+import           Prettyprinter.Render.Terminal (AnsiStyle, renderStrict)
+
+ppLexeme :: Pretty a => C.Lexeme a -> Doc AnsiStyle
+ppLexeme = pretty . C.lexemeText
+
+ppNode :: Pretty a => Node (C.Lexeme a) -> Doc AnsiStyle
+ppNode = foldFix $ \case
+    CimpleNode f -> CP.ppNodeF f
+    HicNode h    -> ppHicNode h
+
+ppHicNode :: Pretty a => HicNode (C.Lexeme a) (Doc AnsiStyle) -> Doc AnsiStyle
+ppHicNode = \case
+    Scoped r b c ->
+        pretty ("scoped" :: Text) <+> parens (removeSemi r) <+> lbrace <> line <>
+        indent 2 b <> (if null c then mempty else line <> vsep (map ppCleanup c)) <> line <> rbrace
+    Raise o v r ->
+        pretty ("raise" :: Text) <>
+        (case o of
+            Just out -> parens (out <> comma <+> v)
+            Nothing  -> parens v) <+>
+        ppReturnIntent r
+    Transition f t ->
+        (pretty ("transition" :: Text)) <+> f <+> (pretty ("->" :: Text)) <+> t
+    TaggedUnion n _tt tf _ut uf m ->
+        (pretty ("tagged union" :: Text)) <+> ppLexeme n <+>
+        lbrace <> line <>
+        indent 2 (
+          (pretty ("tag field:" :: Text)) <+> ppLexeme tf <> line <>
+          (pretty ("union field:" :: Text)) <+> ppLexeme uf <> line <>
+          vsep (map ppMember m)
+        ) <> line <> rbrace
+    TaggedUnionGet _ _ o _isPtr tf _ _uf m _ ->
+        (pretty ("get" :: Text)) <+> o <> dot <> ppLexeme tf <+> (pretty ("==" :: Text)) <+> (pretty ("?" :: Text)) <+> o <> dot <> ppLexeme m
+    Match o _isPtr _tf c d ->
+        (pretty ("match" :: Text)) <+> o <+> lbrace <> line <>
+        indent 2 (vsep (map ppMatchCase c) <> maybe mempty (\def -> line <> (pretty ("default" :: Text)) <+> (pretty ("=>" :: Text)) <+> ppBraced' def) d) <> line <> rbrace
+    TaggedUnionMemberAccess o _uf m ->
+        o <> dot <> ppLexeme m
+    TaggedUnionGetTag _ _ o isPtr tf ->
+        let op = if isPtr then pretty ("->" :: Text) else dot
+        in (pretty ("get tag" :: Text)) <+> o <> op <> ppLexeme tf
+    TaggedUnionConstruct o isPtr _ty tagField tagVal _unionField _member d ->
+        let op = if isPtr then pretty ("->" :: Text) else dot
+        in o <> op <> ppLexeme tagField <+> equals <+> tagVal <+> (pretty ("<=" :: Text)) <+> d <> semi
+    ForEach is _in _c _s cons b hi ->
+        let ppI = case cons of
+                    [_] -> case is of
+                            (i:_) -> if hi then parens (pretty ("index" :: Text) <> comma <+> ppLexeme i) else ppLexeme i
+                            []    -> pretty ("<missing iterator>" :: Text)
+                    _   -> pretty ("index" :: Text)
+            ppC = case cons of
+                    [c] -> if hi then (pretty ("enumerate" :: Text)) <> parens c else c
+                    _   -> parens (commaSep cons)
+        in (pretty ("for_each" :: Text)) <+> ppI <+> (pretty ("in" :: Text)) <+> ppC <+> ppBraced' b
+    Find i _in _c _s con p f m ->
+        (pretty ("find" :: Text)) <+> ppLexeme i <+> (pretty ("in" :: Text)) <+> con <+> (pretty ("where" :: Text)) <+> p <+> ppBraced' f
+        <> maybe mempty (\missing -> space <> (pretty ("else" :: Text)) <+> ppBraced' missing) m
+    IterationElement i _ -> ppLexeme i
+    IterationIndex _ -> pretty ("index" :: Text)
+
+ppMatchCase :: Pretty a => MatchCase (C.Lexeme a) (Doc AnsiStyle) -> Doc AnsiStyle
+ppMatchCase (MatchCase v b) = v <+> (pretty ("=>" :: Text)) <+> ppBraced' b
+
+ppBraced' :: Doc AnsiStyle -> Doc AnsiStyle
+ppBraced' b =
+    let rendered = renderStrict (layoutPretty defaultLayoutOptions (unAnnotate b))
+    in if "{" `T.isPrefixOf` T.strip rendered
+       then b
+       else lbrace <> line <> indent 2 b <> line <> rbrace
+
+removeSemi :: Doc AnsiStyle -> Doc AnsiStyle
+removeSemi doc =
+    let rendered = renderStrict (layoutPretty defaultLayoutOptions (unAnnotate doc))
+    in if ";" `T.isSuffixOf` T.strip rendered
+       then pretty (T.strip (T.dropEnd 1 (T.strip rendered)))
+       else doc
+
+commaSep :: [Doc a] -> Doc a
+commaSep = hsep . punctuate comma
+
+ppMember :: Pretty a => TaggedUnionMember (C.Lexeme a) (Doc AnsiStyle) -> Doc AnsiStyle
+ppMember (TaggedUnionMember e m _t) = ppLexeme e <+> (pretty ("=>" :: Text)) <+> ppLexeme m
+
+ppCleanup :: CleanupAction (Doc AnsiStyle) -> Doc AnsiStyle
+ppCleanup (CleanupAction l b) =
+    maybe b (\lbl -> lbl <> colon <+> b) l
+
+ppReturnIntent :: ReturnIntent (Doc AnsiStyle) -> Doc AnsiStyle
+ppReturnIntent = \case
+    ReturnVoid      -> pretty ("return void" :: Text)
+    ReturnValue v   -> (pretty ("return" :: Text)) <+> v
+    ReturnError e   -> (pretty ("return" :: Text)) <+> e <> semi
+
+showNode :: Pretty a => Node (C.Lexeme a) -> Text
+showNode = CP.render . ppNode
+
+showNodePlain :: Pretty a => Node (C.Lexeme a) -> Text
+showNodePlain = renderStrict . layoutPretty defaultLayoutOptions . unAnnotate . ppNode
diff --git a/src/Language/Cimple/Hic/Program.hs b/src/Language/Cimple/Hic/Program.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Program.hs
@@ -0,0 +1,32 @@
+{-# LANGUAGE RecordWildCards #-}
+{-# LANGUAGE StrictData      #-}
+module Language.Cimple.Hic.Program
+    ( Program (..)
+    , fromCimple
+    , toCimple
+    ) where
+
+import qualified Data.Map.Strict                   as Map
+import           Data.Text                         (Text)
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Hic               (lower)
+import           Language.Cimple.Hic.Inference     (inferProgram)
+import           Language.Cimple.Hic.Program.Types (Program (..))
+import qualified Language.Cimple.Program           as Program
+
+-- | Converts a standard Cimple Program to a high-level Hic Program.
+-- This is where global inference happens.
+fromCimple :: Program.Program Text -> Program (C.Lexeme Text)
+fromCimple cprog =
+    let (hicAsts, diags) = inferProgram cprog
+    in Program
+        { progAsts = hicAsts
+        , progDiagnostics = diags
+        }
+
+-- | Lowers a Hic Program back to a standard Cimple Program.
+toCimple :: Program (C.Lexeme Text) -> Program.Program Text
+toCimple Program{..} =
+    case Program.fromList (Map.toList $ Map.map (map lower) progAsts) of
+        Left err -> error $ "Hic.toCimple: " ++ err
+        Right p  -> p
diff --git a/src/Language/Cimple/Hic/Program/Types.hs b/src/Language/Cimple/Hic/Program/Types.hs
new file mode 100644
--- /dev/null
+++ b/src/Language/Cimple/Hic/Program/Types.hs
@@ -0,0 +1,21 @@
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE StrictData          #-}
+module Language.Cimple.Hic.Program.Types
+    ( Program (..)
+    ) where
+
+import           Data.Bifunctor          (bimap)
+import           Data.Fix                (Fix (..), hoistFix)
+import           Data.Map.Strict         (Map)
+import qualified Data.Map.Strict         as Map
+import           Data.Text               (Text)
+import qualified Language.Cimple         as C
+import           Language.Cimple.Hic.Ast (Node, NodeF (..))
+
+data Program lexeme = Program
+    { progAsts        :: Map FilePath [Node lexeme]
+    , progDiagnostics :: [Text]
+    }
+
+instance Functor Program where
+    fmap (f :: a -> b) p = p { progAsts = Map.map (map (hoistFix (bimap f id))) (progAsts p) }
diff --git a/test/Language/Cimple/Analysis/ArrayUsageAnalysisSpec.hs b/test/Language/Cimple/Analysis/ArrayUsageAnalysisSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/ArrayUsageAnalysisSpec.hs
@@ -0,0 +1,78 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.ArrayUsageAnalysisSpec (spec) where
+
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import qualified Data.Set                                          as Set
+import           Language.Cimple.Analysis.ArrayUsageAnalysis
+import qualified Language.Cimple.Analysis.GlobalStructuralAnalysis as GSA
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.ArrayUsageAnalysis" $ do
+    it "identifies homogeneous local arrays" $ do
+        prog <- mustParse ["void f() { int a[10]; int i = 0; a[i] = 1; }"]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (LocalArray "f" "a") (aurFlavors res) `shouldBe` Just FlavorHomogeneous
+
+    it "identifies heterogeneous local arrays" $ do
+        prog <- mustParse ["void f() { int a[10]; a[0] = 1; a[1] = 2; }"]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (LocalArray "f" "a") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
+
+    it "identifies mixed access as mixed" $ do
+        prog <- mustParse ["void f() { int a[10]; int i = 0; a[0] = 1; a[i] = 2; }"]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (LocalArray "f" "a") (aurFlavors res) `shouldBe` Just FlavorMixed
+
+    it "tracks struct member arrays across functions" $ do
+        prog <- mustParse
+            [ "struct Registry { int h[10]; };"
+            , "void set(struct Registry *r, int i) { r->h[i] = 1; }"
+            , "void f(struct Registry *r) { r->h[0] = 2; }"
+            ]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (MemberArray "Registry" "h") (aurFlavors res) `shouldBe` Just FlavorMixed
+
+    it "distinguishes between different struct members" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int a[10]; int b[10]; };"
+            , "void f(struct My_Struct *s) { s->a[0] = 1; s->b[1] = 2; }"
+            ]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (MemberArray "My_Struct" "a") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
+        Map.lookup (MemberArray "My_Struct" "b") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
+
+    it "handles hexadecimal indices" $ do
+        prog <- mustParse ["void f() { int a[10]; a[0x1] = 1; a[0x2] = 2; }"]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (LocalArray "f" "a") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
+        Map.lookup (LocalArray "f" "a") (aurAccesses res) `shouldBe` Just (Set.fromList [Just 1, Just 2])
+
+    it "handles nested struct member arrays" $ do
+        prog <- mustParse
+            [ "struct Inner { int h[10]; };"
+            , "struct Outer { struct Inner in; };"
+            , "void f(struct Outer *s) { s->in.h[0] = 1; }"
+            ]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        Map.lookup (MemberArray "Inner" "h") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
+
+    it "handles arrays accessed via pointer to struct member" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int h[10]; };"
+            , "void f(struct My_Struct *s) { int *p = s->h; p[0] = 1; }"
+            ]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        let res = runArrayUsageAnalysis ts prog
+        -- Currently we don't track pointers to arrays, so p[0] might be missed
+        -- or identified as LocalArray "f" "p".
+        Map.lookup (LocalArray "f" "p") (aurFlavors res) `shouldBe` Just FlavorHeterogeneous
diff --git a/test/Language/Cimple/Analysis/CallGraphAnalysisSpec.hs b/test/Language/Cimple/Analysis/CallGraphAnalysisSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/CallGraphAnalysisSpec.hs
@@ -0,0 +1,76 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.CallGraphAnalysisSpec (spec) where
+
+import           Data.List                                  (sort)
+import qualified Data.Map.Strict                            as Map
+import qualified Data.Set                                   as Set
+import           Language.Cimple.Analysis.CallGraphAnalysis
+import           Language.Cimple.Hic.InferenceSpec          (mustParse)
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.CallGraphAnalysis" $ do
+    it "identifies direct calls" $ do
+        prog <- mustParse
+            [ "void my_g();"
+            , "void my_f() { my_g(); }"
+            ]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "my_f" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "my_g")
+
+    it "identifies self-recursion" $ do
+        prog <- mustParse ["void my_f() { my_f(); }"]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "my_f" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "my_f")
+        cgrSccs res `shouldBe` [Cyclic ["my_f"]]
+
+    it "identifies mutual recursion" $ do
+        prog <- mustParse
+            [ "void my_g();"
+            , "void my_f() { my_g(); }"
+            , "void my_g() { my_f(); }"
+            ]
+        let res = runCallGraphAnalysis prog
+        -- SCCs are returned in reverse topological order, but for a cycle it's one SCC
+        case cgrSccs res of
+            [Cyclic nodes] -> sort nodes `shouldBe` ["my_f", "my_g"]
+            _              -> expectationFailure $ "Expected one Cyclic SCC, got: " ++ show (cgrSccs res)
+
+    it "identifies multiple callers" $ do
+        prog <- mustParse
+            [ "void my_h();"
+            , "void my_f() { my_h(); }"
+            , "void my_g() { my_h(); }"
+            ]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "my_f" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "my_h")
+        Map.lookup "my_g" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "my_h")
+
+    it "handles nested calls" $ do
+        prog <- mustParse
+            [ "void my_h();"
+            , "void my_g() { my_h(); }"
+            , "void my_f() { my_g(); }"
+            ]
+        let res = runCallGraphAnalysis prog
+        -- Data.Graph.stronglyConnComp returns SCCs in reverse topological order.
+        -- So leaf should come first.
+        cgrSccs res `shouldBe` [Acyclic "my_h", Acyclic "my_g", Acyclic "my_f"]
+
+    it "ignores function pointer calls (for now)" $ do
+        prog <- mustParse
+            [ "typedef void my_ptr_cb();"
+            , "void my_f(my_ptr_cb *my_ptr) { my_ptr(); }"
+            ]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "my_f" (cgrDirectCalls res) `shouldBe` Just Set.empty
+
+    it "identifies calls in initializers" $ do
+        prog <- mustParse ["int g(); void f() { int x = g(); }"]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "f" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "g")
+
+    it "handles multiple calls to the same function" $ do
+        prog <- mustParse ["void g(); void f() { g(); g(); }"]
+        let res = runCallGraphAnalysis prog
+        Map.lookup "f" (cgrDirectCalls res) `shouldBe` Just (Set.singleton "g")
diff --git a/test/Language/Cimple/Analysis/ConstraintGenerationSpec.hs b/test/Language/Cimple/Analysis/ConstraintGenerationSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/ConstraintGenerationSpec.hs
@@ -0,0 +1,482 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE MonoLocalBinds    #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.ConstraintGenerationSpec (spec) where
+
+import           Data.Fix                                          (Fix (..),
+                                                                    foldFix)
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Text                                         (Text)
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.ArrayUsageAnalysis       (runArrayUsageAnalysis)
+import           Language.Cimple.Analysis.ConstraintGeneration
+import qualified Language.Cimple.Analysis.GlobalStructuralAnalysis as GSA
+import           Language.Cimple.Analysis.NullabilityAnalysis      (runNullabilityAnalysis)
+import           Language.Cimple.Analysis.TypeSystem               (pattern BuiltinType,
+                                                                    Phase (..),
+                                                                    pattern Pointer,
+                                                                    pattern Singleton,
+                                                                    pattern Template,
+                                                                    TypeInfo,
+                                                                    pattern TypeRef)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import qualified Language.Cimple.Program                           as Program
+import           Test.Hspec
+
+runCG :: Program.Program Text -> ConstraintGenResult
+runCG prog =
+    let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        aur = runArrayUsageAnalysis ts prog
+        nr = runNullabilityAnalysis prog
+    in runConstraintGeneration ts aur nr prog
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.ConstraintGeneration" $ do
+    it "promotes mixed-access arrays to homogeneous" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *h[2]; };"
+            , "void set(struct My_Struct *r, int i, void *o) { r->h[i] = o; }"
+            , "void f(struct My_Struct *r, int *p) { r->h[0] = p; }"
+            ]
+        let res = runCG prog
+
+        -- In 'f', the assignment 'r->h[0] = p' should use a universal template
+        -- because 'h' is mixed-access (accessed via 'i' in 'set').
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect a Subtype constraint where the expected type is not indexed
+                let isUniversal (Subtype _ (Template _ Nothing) _ _ _) = True
+                    isUniversal _                                      = False
+                any isUniversal constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "keeps strictly heterogeneous arrays indexed" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *h[2]; };"
+            , "void f(struct My_Struct *r, int *p1, float *p2) {"
+            , "    r->h[0] = p1;"
+            , "    r->h[1] = p2;"
+            , "}"
+            ]
+        let res = runCG prog
+
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect Subtype constraints with indexed templates
+                let isIndexed (Subtype _ (Template _ (Just _)) _ _ _) = True
+                    isIndexed _                                       = False
+                filter isIndexed constrs `shouldSatisfy` \cs -> length cs >= 2
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "generates MemberAccess constraints" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int x; };"
+            , "void f(struct My_Struct *s) { s->x = 1; }"
+            ]
+        let res = runCG prog
+
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isMemberAccess (MemberAccess _ "x" _ _ _ _) = True
+                    isMemberAccess _                            = False
+                any isMemberAccess constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "resolves typedefs during variable declaration" $ do
+        prog <- mustParse
+            [ "typedef int My_Int;"
+            , "void f() { My_Int x = 1; }"
+            ]
+        let res = runCG prog
+
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect an assignment constraint: 1 (S32) -> x (S32)
+                let isIntAssignment (Subtype (BuiltinType TS.S32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIntAssignment (Subtype (Singleton TS.S32Ty _) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIntAssignment _ = False
+                any isIntAssignment constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "handles pointer dereference in assignments" $ do
+        prog <- mustParse ["void f(int *p, int x) { *p = x; }"]
+        let res = runCG prog
+
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- *p (int) = x (int)
+                let isIntAssignment (Subtype (BuiltinType TS.S32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIntAssignment _ = False
+                any isIntAssignment constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "resolves struct typedefs" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int x; };"
+            , "typedef struct My_Struct My_Alias;"
+            , "void f(My_Alias *s) { s->x = 1; }"
+            ]
+        let res = runCG prog
+
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect a MemberAccess constraint where the base is My_Struct
+                let isMyStructMember (MemberAccess (TypeRef _ l _) "x" _ _ _ _)
+                        | TS.templateIdToText (C.lexemeText l) == "My_Struct" = True
+                    isMyStructMember _ = False
+                any isMyStructMember constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "generates constraints for ternary expressions" $ do
+        prog <- mustParse ["int f(int c, int x, int y) { return c ? x : y; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect equality between then and else branches
+                let isEquality (Equality (BuiltinType TS.S32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isEquality _ = False
+                any isEquality constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles nested struct member access" $ do
+        prog <- mustParse
+            [ "struct Inner { int x; };"
+            , "struct Outer { struct Inner inner; };"
+            , "void f(struct Outer *o) { o->inner.x = 1; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isInnerMember (MemberAccess _ "inner" _ _ _ _) = True
+                    isInnerMember _                                = False
+                let isXMember (MemberAccess _ "x" _ _ _ _) = True
+                    isXMember _                            = False
+                any isInnerMember constrs `shouldBe` True
+                any isXMember constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "emits CoordinatedPair for registration patterns" $ do
+        prog <- mustParse
+            [ "typedef void my_handler_cb(void *obj);"
+            , "void r(my_handler_cb *f, void *o);"
+            , "void my_handler(int *x);"
+            , "void f(int *p) { r(my_handler, p); }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let containsTemplate' = foldFix $ \case
+                        TS.TemplateF _ -> True
+                        f              -> any id f
+                let isCoordinatedPair (CoordinatedPair _ _ t _ _ _) = containsTemplate' t
+                    isCoordinatedPair _                            = False
+                any isCoordinatedPair constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "emits CoordinatedPair for non-adjacent callback and data (sort pattern)" $ do
+        prog <- mustParse
+            [ "typedef int compare_cb(const void *a, const void *b);"
+            , "void sort(void *base, int nmemb, int size, compare_cb *compar);"
+            , "int compare_int(const int *a, const int *b);"
+            , "void f(int *arr) { sort(arr, 10, 4, compare_int); }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isCoordinatedPair (CoordinatedPair _ _ _ _ _ _) = True
+                    isCoordinatedPair _                             = False
+                any isCoordinatedPair constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "expands macros and generates constraints from their bodies" $ do
+        prog <- mustParse
+            [ "#define MY_ASSIGN(x, y) do { x = y; } while (0)"
+            , "void f(int *a, int b) { MY_ASSIGN(*a, b); }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect Subtype (int -> int) from the macro body
+                let isIntAssignment (Subtype (BuiltinType TS.S32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIntAssignment _ = False
+                any isIntAssignment constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "generates detailed field-by-field constraints for struct initializers" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int x; float y; };"
+            , "void f() { struct My_Struct s = { 1, 1.0f }; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let hasIntInit = any (\case Subtype (Singleton TS.S32Ty _) (BuiltinType TS.S32Ty) _ _ _ -> True; _ -> False) constrs
+                let hasFloatInit = any (\case Subtype (BuiltinType TS.F32Ty) (BuiltinType TS.F32Ty) _ _ _ -> True; _ -> False) constrs
+                hasIntInit `shouldBe` True
+                hasFloatInit `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles binary operator promotions for pointer arithmetic" $ do
+        prog <- mustParse ["void f(int *p, int i) { int *q = p + i; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect Subtype (i -> S32)
+                let isIdxSubtype (Subtype (BuiltinType TS.S32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIdxSubtype _ = False
+                any isIdxSubtype constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "performs recursive de-voidification on structs" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *ptr; };"
+            , "void f(struct My_Struct *s) { /* hotspots should ensure `ptr` is a template */ }"
+            ]
+        let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        case TS.lookupType "My_Struct" ts of
+            Just (TS.StructDescr _ _ [(_, TS.Template _ _)]) -> return ()
+            Just (TS.StructDescr _ _ [(_, TS.Pointer (TS.Template _ _))]) -> return ()
+            other -> expectationFailure $ "Expected templated member in My_Struct, but got: " ++ show other
+
+    it "handles literal array dimensions in parameters" $ do
+        prog <- mustParse ["void f(int a[10]) { a[0] = 1; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- The type of 'a' should be an array of int, not contain Unsupported
+                let isUnsupported (Subtype t1 t2 _ _ _) = containsUnsupported t1 || containsUnsupported t2
+                    isUnsupported _ = False
+                any isUnsupported constrs `shouldBe` False
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "traverses through control flow statements" $ do
+        prog <- mustParse
+            [ "void f(int x) {"
+            , "    START: {"
+            , "        x = 1;"
+            , "    }"
+            , "    while (x == 1) {"
+            , "        if (x == 1) {"
+            , "            break;"
+            , "        }"
+            , "        if (x == 1) {"
+            , "            continue;"
+            , "        }"
+            , "    }"
+            , "    if (x == 1) {"
+            , "        goto START;"
+            , "    }"
+            , "}"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isAssignment (Subtype (Singleton TS.S32Ty 1) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isAssignment _ = False
+                any isAssignment constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "generates constraints for cast expressions" $ do
+        prog <- mustParse ["void f(float x) { int y = (int)x; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect a constraint between the <int> result and y (int)
+                -- and ideally between x (float) and the cast target (int)
+                let isCastConstraint (Subtype (BuiltinType TS.F32Ty) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isCastConstraint _ = False
+                any isCastConstraint constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles bitwise operators and increment/decrement" $ do
+        prog <- mustParse ["void f(int x) { ++x; --x; x = x & 1; x = x | 2; x = x ^ 3; x = ~x; x = x << 1; x = x >> 1; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isUnsupported (Subtype t1 t2 _ _ _) = containsUnsupported t1 || containsUnsupported t2
+                    isUnsupported _ = False
+                any isUnsupported constrs `shouldBe` False
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "generates constraints for union initializers" $ do
+        prog <- mustParse
+            [ "union My_Union { int x; float y; };"
+            , "void f() { union My_Union u = { 1 }; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Union initializer should constrain the first member (int)
+                let isIntInit (Subtype (Singleton TS.S32Ty 1) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isIntInit _ = False
+                any isIntInit constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles variadic function calls" $ do
+        prog <- mustParse ["void my_printf(const char *fmt, ...);", "void f() { my_printf(\"%d\", 1); }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isCallable (Callable _ _ _ _ _ _ _) = True
+                    isCallable _                        = False
+                any isCallable constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles function pointer calls" $ do
+        prog <- mustParse
+            [ "typedef void my_cb(int x);"
+            , "void f(my_cb *cb) { cb(1); }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Function pointers should generate a Callable constraint
+                let isCallable (Callable _ [Singleton TS.S32Ty 1] (Template _ Nothing) _ _ _ _) = True
+                    isCallable _ = False
+                if any isCallable constrs
+                    then return ()
+                    else expectationFailure $ "Expected Callable constraint. Constraints: " ++ show constrs
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "respects variable shadowing" $ do
+        prog <- mustParse
+            [ "static const float x_global = 1.0f;"
+            , "void f() {"
+            , "    float x = 1.0f;"
+            , "    { int x = 1; }"
+            , "}"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let hasFloatInit = any (\case Subtype (BuiltinType TS.F32Ty) (BuiltinType TS.F32Ty) _ _ _ -> True; _ -> False) constrs
+                let hasIntInit = any (\case Subtype (Singleton TS.S32Ty 1) (BuiltinType TS.S32Ty) _ _ _ -> True; _ -> False) constrs
+                hasFloatInit `shouldBe` True
+                hasIntInit `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles enum member usage" $ do
+        prog <- mustParse
+            [ "enum My_Enum { VAL1, VAL2 };"
+            , "void f() { int x = VAL1; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Enum members are now correctly collected as globals
+                let isEnumAssign (Subtype (TS.EnumMem _) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isEnumAssign (Subtype (TypeRef TS.EnumRef _ _) (BuiltinType TS.S32Ty) _ _ _) = True
+                    isEnumAssign _ = False
+                if any isEnumAssign constrs
+                    then return ()
+                    else expectationFailure $ "Expected EnumRef assignment. Constraints: " ++ show constrs
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles recursive function calls" $ do
+        prog <- mustParse ["void f(int n) { if (n > 0) { f(n - 1); } }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Recursive call to f(n - 1)
+                let isFCall (Callable _ [BuiltinType TS.S32Ty] _ _ _ _ _) = True
+                    isFCall _ = False
+                any isFCall constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles variadic macros with __VA_ARGS__" $ do
+        prog <- mustParse
+            [ "#define MY_PRINT(fmt, ...) my_printf(fmt, __VA_ARGS__)"
+            , "void my_printf(const char *fmt, ...);"
+            , "void f() { MY_PRINT(\"%d\", 1); }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- The expanded call to my_printf should be present
+                let isCallable (Callable _ [Pointer (BuiltinType TS.CharTy), Singleton TS.S32Ty 1] _ _ _ _ _) = True
+                    isCallable _ = False
+                any isCallable constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "handles _Owned pointers in constraints" $ do
+        prog <- mustParse ["void f(int *_Owned p) { int *q = p; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect Subtype (Owner(int) -> int)
+                let isOwnerSubtype (Subtype (TS.Owner _) _ _ _ _) = True
+                    isOwnerSubtype _                              = False
+                any isOwnerSubtype constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "generates constraints for self-deallocation pattern" $ do
+        prog <- mustParse
+            [ "struct Tox_Memory;"
+            , "void tox_memory_dealloc(const struct Tox_Memory *mem, void *_Owned ptr);"
+            , "void tox_memory_free(struct Tox_Memory *_Owned mem) {"
+            , "    tox_memory_dealloc(mem, mem);"
+            , "}"
+            ]
+        let res = runCG prog
+        case Map.lookup "tox_memory_free" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect a Callable constraint where 'mem' is passed twice
+                let isDeallocCall (Callable _ [TS.Owner _, TS.Owner _] _ _ _ _ _) = True
+                    isDeallocCall _                                              = False
+                -- Note: 'mem' is declared as 'struct Tox_Memory *_Owned mem'
+                -- So both arguments in the call should be 'Owner (TypeRef ...)'
+                any isDeallocCall constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for tox_memory_free"
+
+    it "generates Pointer constraints for dereferences" $ do
+        prog <- mustParse ["void f(int x) { *x = 1; }"]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- Expect Subtype (x -> Pointer T)
+                let isPointerConstraint (Subtype (BuiltinType TS.S32Ty) (Pointer _) _ _ _) = True
+                    isPointerConstraint _                                                  = False
+                any isPointerConstraint constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for f"
+
+    it "instantiates templated structs in function parameters" $ do
+        prog <- mustParse
+            [ "struct Tox { void *userdata; };"
+            , "void f(struct Tox *t) { void *p = t->userdata; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                let isToxMemberAccess = \case
+                        MemberAccess (TypeRef _ l (_:_)) "userdata" _ _ _ _
+                            | TS.templateIdToText (C.lexemeText l) == "Tox" -> True
+                        _ -> False
+                any isToxMemberAccess constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+    it "instantiates templated functions when used as expressions" $ do
+        prog <- mustParse
+            [ "typedef void tox_cb(void *userdata);"
+            , "void tox_handler(void *userdata) { /* comment */ }"
+            , "void f() { tox_cb *p = tox_handler; }"
+            ]
+        let res = runCG prog
+        case Map.lookup "f" (cgrConstraints res) of
+            Just constrs -> do
+                -- We expect an assignment where the right side is a TypeRef with template arguments
+                let isTemplatedHandlerAssignment = \case
+                        Subtype (TypeRef _ l (_:_)) _ _ _ _
+                            | TS.templateIdToText (C.lexemeText l) == "tox_handler" -> True
+                        _ -> False
+                any isTemplatedHandlerAssignment constrs `shouldBe` True
+            _ -> expectationFailure "Expected constraints for function 'f'"
+
+containsUnsupported :: TypeInfo p -> Bool
+containsUnsupported = foldFix $ \case
+    TS.UnsupportedF _ -> True
+    f -> any id f
diff --git a/test/Language/Cimple/Analysis/DataFlowSpec.hs b/test/Language/Cimple/Analysis/DataFlowSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/DataFlowSpec.hs
@@ -0,0 +1,798 @@
+{-# LANGUAGE LambdaCase            #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE OverloadedStrings     #-}
+module Language.Cimple.Analysis.DataFlowSpec where
+
+import           Control.Monad                     (foldM)
+import           Control.Monad.Identity            (Identity (..), runIdentity)
+import           Data.Fix                          (Fix (..))
+import           Data.List                         (find)
+import           Data.Map.Strict                   (Map)
+import qualified Data.Map.Strict                   as Map
+import           Data.Maybe                        (fromJust, fromMaybe)
+import           Data.Set                          (Set)
+import qualified Data.Set                          as Set
+import           Data.Text                         (Text)
+import qualified Data.Text                         as Text
+import           Language.Cimple                   (NodeF (..))
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Analysis.DataFlow
+import           Language.Cimple.Hic.InferenceSpec (mustParseNodes)
+import           Language.Cimple.Pretty            (showNode, showNodePlain)
+import           Test.Hspec                        (Spec, describe,
+                                                    expectationFailure, it,
+                                                    pendingWith, shouldBe)
+import           Text.Groom                        (groom)
+
+-- | A simple "Reaching Definitions" analysis.
+data ReachingDefs = ReachingDefs (Map Text (Set Text))
+    deriving (Eq, Show)
+
+data Empty l = Empty
+
+empty :: Empty Text
+empty = Empty
+
+instance DataFlow Identity Empty Text ReachingDefs () where
+    emptyFacts _ = return $ ReachingDefs Map.empty
+    join _ (ReachingDefs a) (ReachingDefs b) = return $ ReachingDefs (Map.unionWith Set.union a b)
+    transfer _ _ _ (ReachingDefs facts) (Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ name))) _ rhs)))) =
+        return (ReachingDefs $ Map.insert name (evalExpr rhs facts) facts, Set.empty)
+    transfer _ _ _ (ReachingDefs facts) (Fix (C.VarDeclStmt (Fix (C.VarDecl _ (C.L _ _ name) _)) (Just rhs))) =
+        return (ReachingDefs $ Map.insert name (evalExpr rhs facts) facts, Set.empty)
+    transfer _ _ _ (ReachingDefs facts) (Fix (C.VarDeclStmt (Fix (C.VarDecl _ (C.L _ _ name) _)) Nothing)) =
+        return (ReachingDefs $ Map.insert name (Set.singleton "uninitialized") facts, Set.empty)
+    transfer _ _ _ facts _ = return (facts, Set.empty)
+
+evalExpr :: C.Node (C.Lexeme Text) -> Map Text (Set Text) -> Set Text
+evalExpr (Fix (C.VarExpr (C.L _ _ name))) facts = fromMaybe (Set.singleton "uninitialized") (Map.lookup name facts)
+evalExpr (Fix (C.BinaryExpr lhs _ rhs)) facts = Set.union (evalExpr lhs facts) (evalExpr rhs facts)
+evalExpr (Fix (C.AssignExpr _ _ rhs)) facts = evalExpr rhs facts
+evalExpr (Fix (C.ParenExpr e)) facts = evalExpr e facts
+evalExpr (Fix (C.CastExpr _ e)) facts = evalExpr e facts
+evalExpr (Fix (C.TernaryExpr _ t e)) facts = Set.union (evalExpr t facts) (evalExpr e facts)
+evalExpr (Fix (C.LiteralExpr _ (C.L _ _ val))) _ = Set.singleton val
+evalExpr _ _ = Set.singleton "literal"
+
+data StatementCoverage = StatementCoverage (Set Text)
+    deriving (Eq, Show)
+
+instance DataFlow Identity Empty Text StatementCoverage () where
+    emptyFacts _ = return $ StatementCoverage Set.empty
+    join _ (StatementCoverage a) (StatementCoverage b) = return $ StatementCoverage (Set.union a b)
+    transfer _ _ _ (StatementCoverage facts) stmt =
+        if "__tokstyle_assume" `Text.isPrefixOf` showNodePlain stmt
+        then return (StatementCoverage facts, Set.empty)
+        else return (StatementCoverage $ Set.insert (showNodePlain stmt) facts, Set.empty)
+
+-- | Find the unique exit node of a CFG.
+findExitNodeId :: CFG Text a -> Int
+findExitNodeId cfg =
+    case filter (null . cfgSuccs) (Map.elems cfg) of
+        [node] -> cfgNodeId node
+        nodes  -> error $ "Expected 1 exit node, but found " ++ show (length nodes)
+
+-- | Find a node in the CFG by a statement it contains.
+findNodeIdByStmt :: (C.Node (C.Lexeme Text) -> Bool) -> CFG Text a -> Int
+findNodeIdByStmt predicate cfg =
+    case find (\n -> any predicate (cfgStmts n)) (Map.elems cfg) of
+        Just node -> cfgNodeId node
+        Nothing   -> error "findNodeIdByStmt: could not find node with matching statement"
+
+-- | Find the 'else' branch of an 'if' statement that contains a given statement in its 'then' branch.
+findElseNodeIdOfIfContainingStmt :: (C.Node (C.Lexeme Text) -> Bool) -> CFG Text a -> Int
+findElseNodeIdOfIfContainingStmt predicate cfg =
+    let thenNodeId = findNodeIdByStmt predicate cfg
+        thenNode = fromJust (Map.lookup thenNodeId cfg)
+        ifNodeId = case cfgPreds thenNode of
+            [p] -> p
+            _   -> error "Expected one predecessor for then-branch"
+        ifNode = fromJust (Map.lookup ifNodeId cfg)
+        elseNodeId = case cfgSuccs ifNode of
+            [s1, s2] -> if s1 == thenNodeId then s2 else s1
+            _        -> error "Expected two successors for if-node"
+    in elseNodeId
+
+
+
+spec :: Spec
+spec = do
+    describe "Reaching Definitions" $ do
+        it "should calculate the reaching definitions for a simple function" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 2;"
+                , "  x = y;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["2"]), ("y", Set.fromList ["2"])])
+
+        it "should calculate the reaching definitions for an if statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  if (x > 0) {"
+                , "    x = 2;"
+                , "  } else {"
+                , "    x = 3;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["2", "3"])])
+
+        it "should calculate the reaching definitions for a while loop" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  while (x < 10) {"
+                , "    x = x + 1;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"])])
+
+        it "should calculate the reaching definitions for a function with a return statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  return;"
+                , "  x = 2;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"])])
+
+        it "should calculate the reaching definitions for nested if statements" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  if (x > 0) {"
+                , "    if (x > 1) {"
+                , "      x = 2;"
+                , "    } else {"
+                , "      x = 3;"
+                , "  }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1", "2", "3"])])
+
+        it "should calculate the reaching definitions for a while loop with a nested if statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  while (x < 10) {"
+                , "    if (x < 5) {"
+                , "      x = x + 1;"
+                , "    } else {"
+                , "      x = x + 2;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let isAssignXPlus2 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) C.AopEq (Fix (C.BinaryExpr (Fix (C.VarExpr (C.L _ _ x'))) C.BopPlus (Fix (C.LiteralExpr C.Int (C.L _ _ "2")))))))) | ("x"::Text) == x' -> True
+                    _ -> False
+            let finalNodeId = findNodeIdByStmt isAssignXPlus2 finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1", "2"])])
+
+        it "should calculate the reaching definitions for a for loop" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 0;"
+                , "  for (int i = 0; i < 10; ++i) {"
+                , "    x = x + 1;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["0", "1"]), ("i", Set.fromList ["0"])])
+
+        it "should calculate the reaching definitions for a do-while loop" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  do {"
+                , "    x = x + 1;"
+                , "  } while (x < 10);"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let isAssignXPlus1 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) C.AopEq (Fix (C.BinaryExpr (Fix (C.VarExpr (C.L _ _ x'))) C.BopPlus (Fix (C.LiteralExpr C.Int (C.L _ _ "1")))))))) | ("x"::Text) == x' -> True
+                    _ -> False
+            let finalNodeId = findNodeIdByStmt isAssignXPlus1 finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"])])
+
+        it "should calculate the reaching definitions for a for loop with a break statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 0;"
+                , "  for (int i = 0; i < 10; ++i) {"
+                , "    if (i == 5) {"
+                , "      break;"
+                , "    }"
+                , "    x = x + 1;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let isBreak = \case Fix C.Break -> True; _ -> False
+            let finalNodeId = findElseNodeIdOfIfContainingStmt isBreak finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["0", "1"]), ("i", Set.fromList ["0"])])
+
+        it "should calculate the reaching definitions for a variable assigned to another variable" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = x;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["1"])])
+
+        it "should calculate the reaching definitions for a switch statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    case 1: {"
+                , "      y = 2;"
+                , "      break;"
+                , "    }"
+                , "    case 2: {"
+                , "      y = 3;"
+                , "      break;"
+                , "    }"
+                , "    default: {"
+                , "      y = 4;"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["2", "3", "4"])])
+
+        it "should calculate the reaching definitions for a ternary operator" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = (x > 0) ? 2 : 3;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["2", "3"])])
+
+        it "should calculate the reaching definitions for a goto statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  goto HANDLE_ERROR;"
+                , "  x = 2;"
+                , "HANDLE_ERROR:"
+                , "  x = 3;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["3"])])
+
+        it "should calculate the reaching definitions for a while loop with a continue statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 0;"
+                , "  int i = 0;"
+                , "  while (i < 10) {"
+                , "    i = i + 1;"
+                , "    if (i % 2 == 0) {"
+                , "      continue;"
+                , "    }"
+                , "    x = i;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["0", "1"]), ("i", Set.fromList ["0", "1"])])
+
+        it "should calculate the reaching definitions for a switch statement with fall-through" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    case 1: {"
+                , "      y = 2;"
+                , "    }"
+                , "    case 2: {"
+                , "      y = 3;"
+                , "      break;"
+                , "    }"
+                , "    default: {"
+                , "      y = 4;"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["3", "4"])])
+
+        it "should calculate the reaching definitions for a while loop with a break statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 0;"
+                , "  while (x < 10) {"
+                , "    if (x == 5) {"
+                , "      break;"
+                , "    }"
+                , "    x = x + 1;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["0", "1"])])
+
+        it "should calculate the reaching definitions for a switch statement with only a default case" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    default: {"
+                , "      y = 4;"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["4"])])
+
+        it "should calculate the reaching definitions for a switch statement with all cases falling through" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    case 1: {"
+                , "      y = 2;"
+                , "    }"
+                , "    case 2: {"
+                , "      y = 3;"
+                , "    }"
+                , "    default: {"
+                , "      y = 4;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["4"])])
+
+        it "should correctly handle unreachable code after a return statement" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  return;"
+                , "  x = 2;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let isAssignX2 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) _ (Fix (C.LiteralExpr C.Int (C.L _ _ "2")))))) -> True
+                    _ -> False
+            let nodeExists = any (\n -> any isAssignX2 (cfgStmts n)) (Map.elems finalCfg)
+            nodeExists `shouldBe` False
+
+        it "should handle a switch statement with no default case" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    case 1: {"
+                , "      y = 2;"
+                , "      break;"
+                , "    }"
+                , "    case 2: {"
+                , "      y = 3;"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["1", "2", "3"])])
+
+        it "should handle a switch statement where a case falls through to default" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 1;"
+                , "  switch (x) {"
+                , "    case 1: {"
+                , "      y = 2;"
+                , "    }"
+                , "    default: {"
+                , "      y = 4;"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["4"])])
+
+    it "should include preprocessor directives in the CFG" $ do
+        ast <- mustParseNodes
+            [ "void f() {"
+            , "  #define MY_MACRO(x) do { int abc = 0; } while (0)" -- the do {} must not be empty.
+            , "  int y = 1;"
+            , "  #undef MY_MACRO"
+            , "}"
+            ]
+        let funcBody = case ast of (x:_) -> x; [] -> error "empty ast"
+        let stmts = case unFix funcBody of C.FunctionDefn _ _ (Fix (C.CompoundStmt s)) -> s; _ -> []
+        let cfg = runIdentity $ buildCFG empty funcBody (runIdentity $ emptyFacts empty) :: CFG Text StatementCoverage
+        let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+        let (StatementCoverage finalFacts) = runIdentity $ foldM (join empty) (runIdentity $ emptyFacts empty) (map cfgOutFacts (Map.elems finalCfg))
+
+        let findStmtRecursive predicate _stmts' =
+                let find' _ [] = Nothing
+                    find' p (s:ss) =
+                        if p s then Just s
+                        else case unFix s of
+                            C.PreprocScopedDefine def body undef ->
+                                case find' p [def] of
+                                    Just found -> Just found
+                                    Nothing -> case find' p body of
+                                        Just found' -> Just found'
+                                        Nothing     -> find' p [undef]
+                            _ -> find' p ss
+                in fromMaybe (error "Could not find statement in parsed AST") (find' predicate stmts)
+
+        let defineStmt = findStmtRecursive (\s -> case unFix s of C.PreprocDefineMacro {} -> True; _ -> False) stmts
+        let undefStmt = findStmtRecursive (\s -> case unFix s of C.PreprocUndef {} -> True; _ -> False) stmts
+
+        Set.member (showNodePlain defineStmt) finalFacts `shouldBe` True
+        Set.member (showNodePlain undefStmt) finalFacts `shouldBe` True
+
+    it "should calculate the reaching definitions for a backward goto statement creating a loop" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 0;"
+                , "LOOP_START:"
+                , "  x = x + 1;"
+                , "  if (x < 5) {"
+                , "    goto LOOP_START;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let isAssignXPlus1 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) C.AopEq (Fix (C.BinaryExpr (Fix (C.VarExpr (C.L _ _ x'))) C.BopPlus (Fix (C.LiteralExpr C.Int (C.L _ _ "1")))))))) | ("x"::Text) == x' -> True
+                    _ -> False
+            let assignNodeId = findNodeIdByStmt isAssignXPlus1 finalCfg
+            let assignNode = fromJust (Map.lookup assignNodeId finalCfg)
+            -- The input to the `x = x + 1` node should contain definitions from both the initial assignment and the previous iteration.
+            let (ReachingDefs inFacts) = cfgInFacts assignNode
+            inFacts `shouldBe` Map.fromList [("x", Set.fromList ["0", "1"])]
+
+    it "should handle multiple case labels for a single block" $ do
+        ast <- mustParseNodes
+            [ "void f() {"
+            , "  int y = 0;"
+            , "  int x = 1;"
+            , "  switch (x) {"
+            , "    case 1:"
+            , "    case 2: {"
+            , "      y = 10;"
+            , "      break;"
+            , "    }"
+            , "    case 3: {"
+            , "      y = 20;"
+            , "      break;"
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+        let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+        let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+        let finalNodeId = findExitNodeId finalCfg
+        let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+        finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["1"]), ("y", Set.fromList ["0", "10", "20"])])
+
+    it "should handle a switch statement inside a loop" $ do
+        ast <- mustParseNodes
+            [ "void f() {"
+            , "  int x = 0;"
+            , "  int y = 0;"
+            , "  while (x < 10) {"
+            , "    x = x + 1;"
+            , "    switch (x) {"
+            , "      case 5: {"
+            , "        y = 5;"
+            , "        break;"
+            , "      }"
+            , "      default: {"
+            , "        y = 1;"
+            , "        break;"
+            , "      }"
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+        let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+        let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+        let finalNodeId = findExitNodeId finalCfg
+        let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+        finalFacts `shouldBe` ReachingDefs (Map.fromList [("x", Set.fromList ["0", "1"]), ("y", Set.fromList ["0", "1", "5"])])
+
+    describe "Fixpoint Solver" $ do
+        it "should solve a simple linear CFG" $ do
+            let
+                node0 = CFGNode 0 [] [1] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "x") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node1 = CFGNode 1 [0] [2] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "y") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node2 = CFGNode 2 [1] [] [] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                cfg = Map.fromList [(0, node0), (1, node1), (2, node2)] :: CFG Text ReachingDefs
+                (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+                finalFacts0 = cfgOutFacts (fromJust (Map.lookup 0 finalCfg))
+                finalFacts1 = cfgOutFacts (fromJust (Map.lookup 1 finalCfg))
+            finalFacts0 `shouldBe` ReachingDefs (Map.fromList [("x", Set.singleton "uninitialized")])
+            finalFacts1 `shouldBe` ReachingDefs (Map.fromList [("x", Set.singleton "uninitialized"), ("y", Set.singleton "uninitialized")])
+
+        it "should solve a diamond-shaped CFG" $ do
+            let
+                node0 = CFGNode 0 [] [1, 2] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "x") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node1 = CFGNode 1 [0] [3] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "y") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node2 = CFGNode 2 [0] [3] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "z") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node3 = CFGNode 3 [1, 2] [4] [] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node4 = CFGNode 4 [3] [] [] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                cfg = Map.fromList [(0, node0), (1, node1), (2, node2), (3, node3), (4, node4)] :: CFG Text ReachingDefs
+                (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+                finalFacts3 = cfgOutFacts (fromJust (Map.lookup 3 finalCfg))
+            finalFacts3 `shouldBe` ReachingDefs (Map.fromList [("x", Set.singleton "uninitialized"), ("y", Set.singleton "uninitialized"), ("z", Set.singleton "uninitialized")])
+
+        it "should propagate definitions through a binary expression" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int a = 1;"
+                , "  int b = 2;"
+                , "  int c = a + b;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList
+                [ ("a", Set.fromList ["1"])
+                , ("b", Set.fromList ["2"])
+                , ("c", Set.fromList ["1", "2"])
+                ])
+
+    it "should propagate facts between statements in the same basic block" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = x;"
+                , "  int z = y;"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let finalFacts = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            finalFacts `shouldBe` ReachingDefs (Map.fromList
+                [ ("x", Set.fromList ["1"])
+                , ("y", Set.fromList ["1"])
+                , ("z", Set.fromList ["1"])
+                ])
+
+    describe "CFG Construction" $ do
+        it "should initialize new CFG nodes with empty facts" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  if (x > 0) {"
+                , "    int y = 2;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let isDeclY = \case
+                    Fix (C.VarDeclStmt (Fix (C.VarDecl _ (C.L _ _ "y") _)) _) -> True
+                    _ -> False
+            let thenNodeId = findNodeIdByStmt isDeclY cfg
+            let thenNode = fromJust (Map.lookup thenNodeId cfg)
+            cfgInFacts thenNode `shouldBe` runIdentity (emptyFacts empty)
+
+        it "should join definitions from if/else branches" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x;"
+                , "  if (1) {"
+                , "    x = 1;"
+                , "  } else {"
+                , "    x = 2;"
+                , "  }"
+                , "}"
+                ]
+            let cfg = runIdentity $ buildCFG empty (case ast of (x:_) -> x; [] -> error "empty ast") (runIdentity $ emptyFacts empty) :: CFG Text ReachingDefs
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+
+            let isAssignX1 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) _ (Fix (C.LiteralExpr C.Int (C.L _ _ "1")))))) -> True
+                    _ -> False
+            let isAssignX2 = \case
+                    Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) _ (Fix (C.LiteralExpr C.Int (C.L _ _ "2")))))) -> True
+                    _ -> False
+
+            let thenNodeId = findNodeIdByStmt isAssignX1 finalCfg
+            let elseNodeId = findNodeIdByStmt isAssignX2 finalCfg
+            let thenNode = fromJust (Map.lookup thenNodeId finalCfg)
+            let elseNode = fromJust (Map.lookup elseNodeId finalCfg)
+
+            case (cfgSuccs thenNode, cfgSuccs elseNode) of
+                ([mergeNodeIdThen], [mergeNodeIdElse]) | mergeNodeIdThen == mergeNodeIdElse -> do
+                    let mergeNode = fromJust (Map.lookup mergeNodeIdThen finalCfg)
+                    let (ReachingDefs inFacts) = cfgInFacts mergeNode
+                    Map.lookup "x" inFacts `shouldBe` Just (Set.fromList ["1", "2"])
+                _ -> error "Could not find a unique merge node for the if/else branches"
+
+        it "should solve a CFG with a loop" $ do
+            let
+                node0 = CFGNode 0 [] [1] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "x") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node1 = CFGNode 1 [0, 2] [2, 3] [] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node2 = CFGNode 2 [1] [1] [Fix (C.VarDeclStmt (Fix (C.VarDecl (Fix (C.TyStd (C.L (C.AlexPn 0 0 0) C.IdStdType "int"))) (C.L (C.AlexPn 0 0 0) C.IdVar "y") [])) Nothing)] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                node3 = CFGNode 3 [1] [] [] (runIdentity $ emptyFacts empty) (runIdentity $ emptyFacts empty)
+                cfg = Map.fromList [(0, node0), (1, node1), (2, node2), (3, node3)] :: CFG Text ReachingDefs
+                (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+                finalFacts1 = cfgOutFacts (fromJust (Map.lookup 1 finalCfg))
+                finalFacts3 = cfgInFacts (fromJust (Map.lookup 3 finalCfg))
+            finalFacts1 `shouldBe` ReachingDefs (Map.fromList [("x", Set.singleton "uninitialized"), ("y", Set.singleton "uninitialized")])
+            finalFacts3 `shouldBe` ReachingDefs (Map.fromList [("x", Set.singleton "uninitialized"), ("y", Set.singleton "uninitialized")])
+
+    describe "StatementCoverage Analysis" $ do
+        it "should cover all reachable statements in a simple function" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  int y = 2;"
+                , "  x = y;"
+                , "}"
+                ]
+            let funcBody = case ast of (x:_) -> x; [] -> error "empty ast"
+            let stmts = case unFix funcBody of C.FunctionDefn _ _ (Fix (C.CompoundStmt s)) -> s; _ -> []
+            let cfg = runIdentity $ buildCFG empty funcBody (runIdentity $ emptyFacts empty) :: CFG Text StatementCoverage
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let (StatementCoverage finalFacts) = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            let expectedStmts = Set.fromList $ map showNodePlain stmts
+            finalFacts `shouldBe` expectedStmts
+
+        it "should cover all reachable statements in a function with an if-else" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  if (x > 0) {"
+                , "    x = 2;"
+                , "  } else {"
+                , "    x = 3;"
+                , "  }"
+                , "  int y = 4;"
+                , "}"
+                ]
+            let funcBody = case ast of (x:_) -> x; [] -> error "empty ast"
+            let stmts = case unFix funcBody of C.FunctionDefn _ _ (Fix (C.CompoundStmt s)) -> s; _ -> []
+            let cfg = runIdentity $ buildCFG empty funcBody (runIdentity $ emptyFacts empty) :: CFG Text StatementCoverage
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let (StatementCoverage finalFacts) = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            let expectedStmts = Set.fromList $ map showNodePlain (filter (\s -> case unFix s of C.IfStmt {} -> False; _ -> True) stmts)
+            let cond = case stmts !! 1 of Fix (C.IfStmt c (Fix (C.CompoundStmt [s1])) (Just (Fix (C.CompoundStmt [s2])))) -> [showNodePlain c, showNodePlain s1, showNodePlain s2]; _ -> []
+            finalFacts `shouldBe` Set.union expectedStmts (Set.fromList cond)
+
+        it "should cover all reachable statements in a while loop" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  while (x < 10) {"
+                , "    x = x + 1;"
+                , "  }"
+                , "}"
+                ]
+            let funcBody = case ast of (x:_) -> x; [] -> error "empty ast"
+            let stmts = case unFix funcBody of C.FunctionDefn _ _ (Fix (C.CompoundStmt s)) -> s; _ -> []
+            let cfg = runIdentity $ buildCFG empty funcBody (runIdentity $ emptyFacts empty) :: CFG Text StatementCoverage
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let finalNodeId = findExitNodeId finalCfg
+            let (StatementCoverage finalFacts) = cfgOutFacts (fromJust (Map.lookup finalNodeId finalCfg))
+            let expectedStmts = Set.fromList $ map showNodePlain (filter (\s -> case unFix s of C.WhileStmt {} -> False; _ -> True) stmts)
+            let whileStmt = fromJust $ find (\s -> case unFix s of C.WhileStmt {} -> True; _ -> False) stmts
+            let (cond, bodyStmts) = case unFix whileStmt of C.WhileStmt c (Fix (C.CompoundStmt b)) -> (c, b); _ -> error "unexpected while loop structure"
+            let expected = Set.union expectedStmts (Set.insert (showNodePlain cond) (Set.fromList (map showNodePlain bodyStmts)))
+            finalFacts `shouldBe` expected
+
+        it "should not cover unreachable statements" $ do
+            ast <- mustParseNodes
+                [ "void f() {"
+                , "  int x = 1;"
+                , "  return;"
+                , "  x = 2;"
+                , "}"
+                ]
+            let funcBody = case ast of (x:_) -> x; [] -> error "empty ast"
+            let stmts = case unFix funcBody of C.FunctionDefn _ _ (Fix (C.CompoundStmt s)) -> s; _ -> []
+            let cfg = runIdentity $ buildCFG empty funcBody (runIdentity $ emptyFacts empty) :: CFG Text StatementCoverage
+            let (finalCfg, _) = runIdentity $ fixpoint empty "f" cfg
+            let (StatementCoverage finalFacts) = runIdentity $ foldM (join empty) (runIdentity $ emptyFacts empty) (map cfgOutFacts (Map.elems finalCfg))
+            let isAssignX2 = \case Fix (C.ExprStmt (Fix (C.AssignExpr (Fix (C.VarExpr (C.L _ _ "x"))) _ (Fix (C.LiteralExpr C.Int (C.L _ _ "2")))))) -> True; _ -> False
+            let unreachableStmt = showNodePlain (case filter isAssignX2 stmts of (x:_) -> x; [] -> error "stmt not found")
+            Set.member unreachableStmt finalFacts `shouldBe` False
diff --git a/test/Language/Cimple/Analysis/ErrorMessageSpec.hs b/test/Language/Cimple/Analysis/ErrorMessageSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/ErrorMessageSpec.hs
@@ -0,0 +1,57 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.ErrorMessageSpec (spec) where
+
+import qualified Data.Map.Strict                                   as Map
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import           GHC.Stack                                         (HasCallStack)
+import           Language.Cimple.Analysis.ArrayUsageAnalysis       (runArrayUsageAnalysis)
+import           Language.Cimple.Analysis.CallGraphAnalysis        (CallGraphResult (..),
+                                                                    runCallGraphAnalysis)
+import           Language.Cimple.Analysis.ConstraintGeneration     (runConstraintGeneration)
+import           Language.Cimple.Analysis.Errors                   (ErrorInfo (..))
+import           Language.Cimple.Analysis.GlobalStructuralAnalysis (GlobalAnalysisResult (..),
+                                                                    runGlobalStructuralAnalysis)
+import           Language.Cimple.Analysis.NullabilityAnalysis      (runNullabilityAnalysis)
+import           Language.Cimple.Analysis.OrderedSolver            (OrderedSolverResult (..),
+                                                                    runOrderedSolver)
+import           Language.Cimple.Analysis.Pretty                   (ppErrorInfo,
+                                                                    renderPlain)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import           Test.Hspec
+
+spec :: Spec
+
+spec = describe "Error Message Improvement" $ do
+    it "reproducibility of the toxcore memory error" $ do
+        prog <- mustParse
+            [ "typedef void tox_memory_dealloc_cb(void *_Nonnull self, void *_Owned _Nullable ptr);"
+            , "struct Tox_Memory_Funcs {"
+            , "    tox_memory_dealloc_cb *_Nonnull dealloc_callback;"
+            , "};"
+            , "struct Tox_Memory {"
+            , "    const struct Tox_Memory_Funcs *_Nonnull funcs;"
+            , "    void *_Nullable user_data;"
+            , "};"
+            , "void tox_memory_dealloc(const struct Tox_Memory *_Nonnull mem, void *_Owned _Nullable ptr)"
+            , "{"
+            , "    mem->funcs->dealloc_callback(mem->user_data, ptr);"
+            , "}"
+            , "void tox_memory_free(struct Tox_Memory *_Nullable mem)"
+            , "{"
+            , "    if (mem == nullptr) {"
+            , "        return;"
+            , "    }"
+            , "    tox_memory_dealloc(mem, mem);"
+            , "}"
+            ]
+        let gar = runGlobalStructuralAnalysis prog
+            ts = garTypeSystem gar
+            cgr = runCallGraphAnalysis prog
+            aua = runArrayUsageAnalysis ts prog
+            na = runNullabilityAnalysis prog
+            cg = runConstraintGeneration ts aua na prog
+            osr = runOrderedSolver ts (cgrSccs cgr) cg
+            errors = osrErrors osr
+        length errors `shouldSatisfy` (> 0)
diff --git a/test/Language/Cimple/Analysis/GlobalStructuralAnalysisSpec.hs b/test/Language/Cimple/Analysis/GlobalStructuralAnalysisSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/GlobalStructuralAnalysisSpec.hs
@@ -0,0 +1,114 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.GlobalStructuralAnalysisSpec (spec) where
+
+import qualified Data.Map.Strict                                   as Map
+import qualified Data.Set                                          as Set
+import           Language.Cimple.Analysis.GlobalStructuralAnalysis
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.GlobalStructuralAnalysis" $ do
+    it "identifies structs with void* as hotspots" $ do
+        prog <- mustParse ["struct My_Struct { void *p; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "identifies structs with templates as hotspots" $ do
+        -- Template is inferred for void* in our system
+        prog <- mustParse ["struct My_Struct { void *p; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "identifies functions with void* as hotspots" $ do
+        prog <- mustParse ["void my_f(void *p);"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [FunctionHotspot "my_f"]
+
+    it "does not identify simple structs as hotspots" $ do
+        prog <- mustParse ["struct My_Struct { int x; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.empty
+
+    it "identifies unions with void* as hotspots" $ do
+        prog <- mustParse ["union My_Union { void *p; int x; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Union"]
+
+    it "identifies functions with generic return types as hotspots" $ do
+        prog <- mustParse ["void *my_f(int x);"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [FunctionHotspot "my_f"]
+
+    it "identifies structs with generic arrays as hotspots" $ do
+        prog <- mustParse ["struct My_Struct { void *arr[10]; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "propagates hotspots through typedefs" $ do
+        prog <- mustParse
+            [ "typedef void *Generic;"
+            , "struct My_Struct { Generic p; };"
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "does not identify concrete pointers as hotspots" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int *p; };"
+            , "void my_f(int *p);"
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.empty
+
+    it "does not identify concrete typedefs as hotspots" $ do
+        prog <- mustParse
+            [ "typedef int My_Int;"
+            , "typedef My_Int *My_Int_Ptr;"
+            , "struct My_Struct { My_Int_Ptr p; };"
+            , "void my_f(My_Int x);"
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.empty
+
+    it "does not identify forward declared concrete structs as hotspots" $ do
+        prog <- mustParse
+            [ "struct My_Struct;"
+            , "void my_f(struct My_Struct *s);"
+            , "struct My_Struct { int x; };"
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.empty
+
+    it "does not identify void functions or parameters as hotspots" $ do
+        prog <- mustParse
+            [ "void my_f(void);"
+            , "void my_g();"
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.empty
+
+    it "handles complex nested generic types in hotspots" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int x; };"
+            , "void my_f(struct My_Struct *s);" -- Not generic
+            , "void my_g_func(void *p);"   -- Generic
+            , "struct My_G_struct { void **pp; };" -- Generic
+            ]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [FunctionHotspot "my_g_func", StructHotspot "My_G_struct"]
+
+    it "identifies deep generic pointers as hotspots" $ do
+        prog <- mustParse ["typedef void *GenericPointer; struct My_Struct { GenericPointer **ppp; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "identifies structs with _Owned pointers as hotspots" $ do
+        prog <- mustParse ["struct My_Struct { int *_Owned p; };"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [StructHotspot "My_Struct"]
+
+    it "identifies functions with _Owned parameters as hotspots" $ do
+        prog <- mustParse ["void my_f(int *_Owned p);"]
+        let res = runGlobalStructuralAnalysis prog
+        garHotspots res `shouldBe` Set.fromList [FunctionHotspot "my_f"]
diff --git a/test/Language/Cimple/Analysis/NullabilityAnalysisSpec.hs b/test/Language/Cimple/Analysis/NullabilityAnalysisSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/NullabilityAnalysisSpec.hs
@@ -0,0 +1,203 @@
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.NullabilityAnalysisSpec where
+
+import           Control.Applicative                          ((<|>))
+import           Control.Monad.Identity                       (Identity (..))
+import           Data.Fix                                     (Fix (..))
+import           Data.Foldable                                (toList)
+import           Data.List                                    (foldl')
+import           Data.Map.Strict                              (Map)
+import qualified Data.Map.Strict                              as Map
+import           Data.Maybe                                   (fromJust,
+                                                               fromMaybe)
+import           Data.Set                                     (Set)
+import qualified Data.Set                                     as Set
+import           Data.Text                                    (Text)
+import qualified Data.Text                                    as T
+import qualified Language.Cimple                              as C
+import           Language.Cimple.Analysis.AstUtils            (getAlexPosn)
+import           Language.Cimple.Analysis.NullabilityAnalysis
+import           Language.Cimple.Hic.InferenceSpec            (mustParse,
+                                                               mustParseNodes)
+import qualified Language.Cimple.Program                      as Program
+import           Test.Hspec
+
+firstNode :: Program.Program Text -> C.Node (C.Lexeme Text)
+firstNode prog = case Program.toList prog of
+    ((_, n:_):_) -> n
+    _            -> error "firstNode: empty program"
+
+findInProgram :: (C.Node (C.Lexeme Text) -> Bool) -> Program.Program Text -> C.Node (C.Lexeme Text)
+findInProgram p prog = fromMaybe (error "node not found") $
+    foldl' (\acc (_, nodes) -> acc <|> foldl' (\acc' n -> acc' <|> findNodeMaybe p n) Nothing nodes) Nothing (Program.toList prog)
+
+findNodeMaybe :: (C.Node (C.Lexeme Text) -> Bool) -> C.Node (C.Lexeme Text) -> Maybe (C.Node (C.Lexeme Text))
+findNodeMaybe p n@(Fix f)
+    | p n = Just n
+    | otherwise = foldl' (\acc c -> acc <|> findNodeMaybe p c) Nothing (toList f)
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.NullabilityAnalysis" $ do
+    let isDecl name = \case
+            Fix (C.VarDeclStmt (Fix (C.VarDecl _ (C.L _ _ n) _)) _) -> n == name
+            _ -> False
+
+    it "identifies non-null variables after a direct check" $ do
+        let code = [ "void f(int *p) {"
+                   , "  if (p) {"
+                   , "    int x = 0;"
+                   , "  }"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "identifies non-null variables after a != nullptr check" $ do
+        let code = [ "void f(int *p) {"
+                   , "  if (p != nullptr) {"
+                   , "    int x = 0;"
+                   , "  }"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "identifies non-null variables in the else branch after a == nullptr check" $ do
+        let code = [ "void f(int *p) {"
+                   , "  if (p == nullptr) {"
+                   , "    return;"
+                   , "  }"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "joins non-null information correctly (soundness)" $ do
+        let code = [ "void f(int *p, int *q) {"
+                   , "  if (p) {"
+                   , "    p = nullptr; /* p is non-null here, but we kill it */"
+                   , "  } else {"
+                   , "    q = nullptr; /* nothing known */"
+                   , "  }"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just Set.empty
+
+    it "tracks non-nullness through assignments" $ do
+        let code = [ "void f(int *p) {"
+                   , "  int *q = nullptr;"
+                   , "  if (p) {"
+                   , "    q = p;"
+                   , "    int x = 0;"
+                   , "  }"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p", "q"])
+
+    it "identifies non-null variables after dereference" $ do
+        let code = [ "void f(int *p) {"
+                   , "  *p = 1;"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "identifies non-null variables after member access" $ do
+        let code = [ "struct My_Struct { int f; };"
+                   , "void f(struct My_Struct *p) {"
+                   , "  p->f = 1;"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "identifies non-null variables after array access" $ do
+        let code = [ "void f(int *p) {"
+                   , "  p[0] = 1;"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "identifies non-null variables in logical AND" $ do
+        let code = [ "void f(int *p, int *q) {"
+                   , "  if (p && q) {"
+                   , "    int x = 0;"
+                   , "  }"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p", "q"])
+
+    it "recognizes 0 as a null constant" $ do
+        let code = [ "void f(int *p) {"
+                   , "  if (p != 0) {"
+                   , "    int x = 0;"
+                   , "  }"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
+
+    it "treats explicit cast to non-null as an assertion" $ do
+        let code = [ "void f(int *p) {"
+                   , "  int *other_p = (int * _Nonnull)p;"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["other_p", "p"])
+
+    it "refines nullability after call to function with _Nonnull parameter" $ do
+        let code = [ "void g(int * _Nonnull p);"
+                   , "void f(int *p) {"
+                   , "  g(p);"
+                   , "  int x = 0;"
+                   , "}"
+                   ]
+        prog <- mustParse code
+        let result = runNullabilityAnalysis prog
+        let facts = fromJust $ Map.lookup "f" (nrStatementFacts result)
+        let pos = fromJust $ getAlexPosn (findInProgram (isDecl "x") prog)
+        Map.lookup pos facts `shouldBe` Just (Set.fromList ["p"])
diff --git a/test/Language/Cimple/Analysis/OrderedSolverSpec.hs b/test/Language/Cimple/Analysis/OrderedSolverSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/OrderedSolverSpec.hs
@@ -0,0 +1,1663 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.OrderedSolverSpec (spec) where
+
+import           Data.List                                         (nub)
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import           Language.Cimple.Analysis.ArrayUsageAnalysis       (runArrayUsageAnalysis)
+import           Language.Cimple.Analysis.CallGraphAnalysis        (CallGraphResult (..),
+                                                                    runCallGraphAnalysis)
+import           Language.Cimple.Analysis.ConstraintGeneration     (runConstraintGeneration)
+import           Language.Cimple.Analysis.Errors                   (ErrorInfo (..))
+import qualified Language.Cimple.Analysis.GlobalStructuralAnalysis as GSA
+import           Language.Cimple.Analysis.NullabilityAnalysis      (runNullabilityAnalysis)
+import           Language.Cimple.Analysis.OrderedSolver
+import           Language.Cimple.Analysis.Pretty                   (ppErrorInfo,
+                                                                    renderPlain)
+import           Language.Cimple.Analysis.TypeSystem               (pattern BuiltinType,
+                                                                    pattern Function,
+                                                                    Phase (..),
+                                                                    TypeInfo)
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import qualified Language.Cimple.Program                           as Program
+import           Test.Hspec
+
+runFullAnalysis :: Program.Program Text -> OrderedSolverResult
+runFullAnalysis prog =
+    let ts = GSA.garTypeSystem $ GSA.runGlobalStructuralAnalysis prog
+        aur = runArrayUsageAnalysis ts prog
+        cg = runCallGraphAnalysis prog
+        nr = runNullabilityAnalysis prog
+        cgr = runConstraintGeneration ts aur nr prog
+    in runOrderedSolver ts (cgrSccs cg) cgr
+
+errorsShouldMatch :: HasCallStack => [ErrorInfo 'Local] -> [Text] -> Expectation
+errorsShouldMatch errors expected =
+    let actual = nub $ concatMap (T.lines . (\ei -> renderPlain (ppErrorInfo "test.c" ei Nothing))) errors
+    in actual `shouldBe` expected
+
+shouldHaveErrors :: HasCallStack => Program.Program Text -> [Text] -> Expectation
+shouldHaveErrors prog expected =
+    errorsShouldMatch (osrErrors (runFullAnalysis prog)) expected
+
+shouldHaveNoErrors :: HasCallStack => [ErrorInfo 'Local] -> Expectation
+shouldHaveNoErrors errors =
+    if null errors
+    then return ()
+    else expectationFailure $ T.unpack $ T.unlines $
+            "expected no errors, but got:" :
+            map (renderPlain . (\ei -> ppErrorInfo "test.c" ei Nothing)) errors
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.OrderedSolver" $ do
+    it "handles nullary functions with (void)" $ do
+        prog <- mustParse ["void f(void); void g() { f(); }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles templated struct pointer compatibility" $ do
+        prog <- mustParse
+            [ "struct Memory { void *ptr; };"
+            , "void f(struct Memory *m) {"
+            , "    struct Memory *m2 = m;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles templates in nested structures" $ do
+        prog <- mustParse
+            [ "struct Memory { void *ptr; };"
+            , "struct Context { const struct Memory *mem; };"
+            , "void f(struct Context *ctx, const struct Memory *mem) {"
+            , "    ctx->mem = mem;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles forward declared templated structs" $ do
+        prog <- mustParse
+            [ "struct Memory;"
+            , "void f(const struct Memory *m);"
+            , "struct Memory { void *ptr; };"
+            , "void g(struct Memory *m) { f(m); }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles structs with multiple void pointers" $ do
+        prog <- mustParse
+            [ "struct Multi { void *a; void *b; };"
+            , "void f(struct Multi *m) {"
+            , "    int x;"
+            , "    float y;"
+            , "    m->a = &x;"
+            , "    m->b = &y;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "does not incorrectly merge independent templates in nested structures" $ do
+        prog <- mustParse
+            [ "struct My_A { void *p; };"
+            , "struct My_B { struct My_A *a; void *q; };"
+            , "void f(struct My_B *b) {"
+            , "    int *i = b->a->p;"
+            , "    float *f = b->q;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "infers type of address-of expression" $ do
+        prog <- mustParse ["void f() { int x = 1; int *p = &x; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "infers types of logical operators" $ do
+        prog <- mustParse ["void f() { bool b = ((1 == 1) && (2 == 2)) || !(1 == 1); }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "solves simple identity function" $ do
+        prog <- mustParse ["int f(int x) { return x; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "reports type mismatch in simple assignment" $ do
+        prog <- mustParse ["void f() { int x; float y; x = y; }"]
+        prog `shouldHaveErrors`
+            [ "test.c:1: assignment type mismatch: expected int32_t, got float"
+            , "  expected int32_t, but got float"
+            , "  while unifying int32_t and float (assignment)"
+            ]
+
+    it "correctly promotes mixed-access arrays and catches errors" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *h[2]; };"
+            , "void set(struct My_Struct *r, int i, void *o) { r->h[i] = o; }"
+            , "void f(struct My_Struct *r, int *pi, float *pf) {"
+            , "    set(r, 0, pi);" -- Binds universal template to int*
+            , "    r->h[1] = pf;" -- Should now conflict with int*
+            , "}"
+            ]
+        prog `shouldHaveErrors`
+            [ "test.c:4: type mismatch: expected P0(h):inst:0*, got int32_t"
+            , "  expected P0(h):inst:0*, but got int32_t"
+            , "  while unifying P0(h):inst:0* and int32_t (general mismatch)"
+            , "  while unifying P0(h):inst:0** and int32_t* (general mismatch)"
+            , ""
+            , "  where template P0(h):inst:0 is unbound"
+            , "test.c:5: assignment type mismatch: expected T4(h)*, got float"
+            , "  expected T4(h)*, but got float"
+            , "  while unifying T4(h)* and float (assignment)"
+            , "  while unifying T4(h)*[2] and float* (assignment)"
+            , "  where template T4(h) was bound to h due to type mismatch: expected T4(h), got h"
+            , "        template h was bound to P0(h):inst:0 due to type mismatch: expected h, got P0(h):inst:0"
+            , "        template P0(h):inst:0 is unbound"
+            ]
+
+    it "handles equi-recursive types (co-inductive unification)" $ do
+        -- void f(void **p) { *p = p; }
+        -- Template T bound to T*
+        prog <- mustParse ["void f(void **p) { *p = p; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+
+    it "handles mutually recursive generic functions" $ do
+        prog <- mustParse
+            [ "void my_g(void *p);"
+            , "void my_f(void *p) { my_g(p); }"
+            , "void my_g(void *p) { my_f(p); }"
+            , "void start(int *p) { my_f(p); }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "terminates on cyclic typedefs" $ do
+        prog <- mustParse
+            [ "typedef struct My_A My_A;"
+            , "struct My_A { My_A *next; };"
+            , "void f(My_A *a) { a->next = a; }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles exponential type nesting without OOM" $ do
+        prog <- mustParse
+            [ "struct My_Struct1 { void *a; void *b; };"
+            , "struct My_Struct2 { struct My_Struct1 a; struct My_Struct1 b; };"
+            , "struct My_Struct3 { struct My_Struct2 a; struct My_Struct2 b; };"
+            , "struct My_Struct4 { struct My_Struct3 a; struct My_Struct3 b; };"
+            , "struct My_Struct5 { struct My_Struct4 a; struct My_Struct4 b; };"
+            , "void f(struct My_Struct5 *s, int *p) { s->a.a.a.a.a = p; }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles lexical scoping (shadowing)" $ do
+        prog <- mustParse
+            [ "void f() {"
+            , "    int x = 1;"
+            , "    { float x = 1.0; float y = x; }" -- inner x is float
+            , "    int z = x;" -- outer x is int
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "resolves global preprocessor constants" $ do
+        prog <- mustParse
+            [ "#define MY_CONST 1"
+            , "void f(int x) { if (x == MY_CONST) return; }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles deep polymorphic call chains" $ do
+        prog <- mustParse
+            [ "void my_h(void *p) { int *x = p; }"
+            , "void my_g(void *p) { my_h(p); }"
+            , "void my_f(void *p) { my_g(p); }"
+            , "void start(float *p) { my_f(p); }" -- Should fail in my_h
+            ]
+        prog `shouldHaveErrors`
+            [ "test.c:4: type mismatch: expected int32_t, got float"
+            , "  expected int32_t, but got float"
+            , "  while unifying int32_t and float (general mismatch)"
+            , "  while unifying int32_t* and float* (general mismatch)"
+            ]
+
+    it "allows int* to const int* subtyping" $ do
+        prog <- mustParse ["void g(const int *p); void f(int *p) { g(p); }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "disallows const int* to int* subtyping" $ do
+        prog <- mustParse ["void g(int *p); void f(const int *p) { g(p); }"]
+        prog `shouldHaveErrors`
+            [ "test.c:1: type mismatch: expected int32_t, got int32_t const"
+            , "  actual type has unexpected const qualifier"
+            , "  while unifying int32_t and int32_t const (general mismatch)"
+            , "  while unifying int32_t* and int32_t const* (general mismatch)"
+            ]
+
+    it "handles networking struct subtyping (sockaddr_in to sockaddr)" $ do
+        prog <- mustParse
+            [ "void bind(int s, const struct sockaddr *addr);"
+            , "void f(int s, struct sockaddr_in *addr) { bind(s, addr); }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "verifies polymorphic call chain with refreshTemplates" $ do
+        prog <- mustParse
+            [ "void ident(void *p) { /* empty */ }"
+            , "void f() {"
+            , "    int *pi;"
+            , "    float *pf;"
+            , "    ident(pi);"
+            , "    ident(pf);"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "reports diagnostics for unhandled nodes" $ do
+        -- We'll use a constructor we know isn't handled perfectly or generates a diagnostic
+        prog <- mustParse ["void f() { static_assert(1, \"msg\"); }"]
+        -- Currently we silence static_assert but let's check for any diagnostic from unhandled stuff if we add one
+        -- Or we can just check if Unsupported type triggers a diagnostic in solver
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles recursive de-voidification (void**)" $ do
+        prog <- mustParse
+            [ "void f(void **pp, int *p) {"
+            , "    *pp = p;" -- pp is int**
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "resolves array access types correctly" $ do
+        prog <- mustParse
+            [ "void f(int a[10]) {"
+            , "    int x = a[0];"
+            , "    float y = a[1];" -- Should fail
+            , "}"
+            ]
+        prog `shouldHaveErrors`
+            [ "test.c:3: type mismatch: expected float, got int32_t"
+            , "  expected float, but got int32_t"
+            , "  while unifying float and int32_t (general mismatch)"
+            ]
+
+    it "handles memeq function with pointers and comparisons" $ do
+        prog <- mustParse
+            [ "bool memeq(uint8_t const *a, size_t a_size, uint8_t const *b, size_t b_size)"
+            , "{"
+            , "    return a_size == b_size && memcmp(a, b, a_size) == 0;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles heterogeneous arrays with literal indices" $ do
+        prog <- mustParse
+            [ "void f(void *a[2], int *pi, float *pf) {"
+            , "    a[0] = pi;"
+            , "    a[1] = pf;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "verifies polymorphic function pointer call" $ do
+        prog <- mustParse
+            [ "typedef void ident_cb(void *p);"
+            , "void ident(void *p) { /* empty */ }"
+            , "void g() {"
+            , "    ident_cb *f = ident;"
+            , "    int *pi;"
+            , "    float *pf;"
+            , "    f(pi);"
+            , "    f(pf);"
+            , "}"
+            ]
+        prog `shouldHaveErrors`
+            [ "test.c:8: type mismatch: expected int32_t, got float"
+            , "  expected int32_t, but got float"
+            , "  while unifying int32_t and float (general mismatch)"
+            , "  while unifying T2(p)* and float* (general mismatch)"
+            , ""
+            , "  where template T2(p) was bound to T3(p) due to type mismatch: expected T2(p), got T3(p)"
+            , "        template T3(p) was bound to int32_t due to type mismatch: expected T3(p), got int32_t"
+            ]
+
+    it "allows T** to const T* const* subtyping" $ do
+        prog <- mustParse
+            [ "void g(const int * const *p);"
+            , "void f(int **p) { g(p); }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles explicit va_list parameters (vsnprintf)" $ do
+        prog <- mustParse
+            [ "void my_vprintf(const char *format, va_list args);"
+            , "void f(va_list args) {"
+            , "    my_vprintf(\"%d\", args);"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "demonstrates necessary unsoundness for C idioms (memcmp == 0)" $ do
+        prog <- mustParse
+            [ "void f(int *a, int *b, size_t n) {"
+            , "    if (memcmp(a, b, n) == 0) { /* ... */ }"
+            , "}"
+            ]
+        -- memcmp returns int (Builtin). Comparison is with 0 (Singleton).
+        -- Strict unification would fail. We allow it for usability.
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "demonstrates unsoundness: optimistic variable narrowing" $ do
+        prog <- mustParse
+            [ "void f(int i, int j) {"
+            , "    if (i == 0) {"
+            , "        // i is soundly narrowed to 0 in this branch (if we had flow-sensitivity)."
+            , "        // But Hic's solver is global. Because we allow Builtin <: Singleton,"
+            , "        // i's global type can become Singleton 0."
+            , "        i = j; // j (any int) satisfy i's 'must be 0' constraint."
+            , "    }"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "demonstrates unsoundness: optimistic variable narrowing" $ do
+        -- DOCUMENTED UNSOUNDNESS:
+        -- To support C idioms like 'if (memcmp(...) == 0)', the solver allows
+        -- Builtin types (like 'int') to satisfy Singleton requirements (like '0').
+        --
+        -- This allows 'optimistic narrowing': a comparison 'i == 0' can cause
+        -- 'i' to be treated as the constant '0' globally. In the example below,
+        -- this hides a potential type mismatch: '*(a + i)' is treated as 'a[0]'
+        -- (int*) even though 'i' is a general parameter that could be '1'
+        -- (accessing a float* slot).
+        --
+        -- We accept this unsoundness because:
+        -- 1. True value-flow analysis is outside the scope of this solver.
+        -- 2. Strictness here would cause false positives on almost all standard C
+        --    checks (memcmp, strcmp, etc.).
+        -- 3. Hic still enforces structural soundness (int vs float) globally.
+        prog <- mustParse
+            [ "void set(void *a[2], int *pi, float *pf) {"
+            , "    a[0] = pi;"
+            , "    a[1] = pf;"
+            , "}"
+            , "void f(void **a, int i, int *p) {"
+            , "    if (i == 0) {"
+            , "        return;"
+            , "    }"
+            , "    *(a + i) = p;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles My_Struct with _Owned pointer usage" $ do
+        prog <- mustParse
+            [ "struct My_Struct { int *_Owned p; };"
+            , "void free_int(int *_Owned p);"
+            , "void free_my_struct(struct My_Struct *_Owned s) {"
+            , "    free_int(s->p);"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles Tox_Memory deallocation pattern (recursive type inference)" $ do
+        prog <- mustParse
+            [ "typedef void tox_memory_dealloc_cb(void *_Nonnull self, void *_Owned _Nullable ptr);"
+            , "struct Tox_Memory_Funcs {"
+            , "    tox_memory_dealloc_cb *_Nonnull dealloc_callback;"
+            , "};"
+            , "struct Tox_Memory {"
+            , "    const struct Tox_Memory_Funcs *_Nonnull funcs;"
+            , "    void *_Nullable user_data;"
+            , "};"
+            , "void tox_memory_dealloc(const struct Tox_Memory *mem, void *_Owned _Nullable ptr)"
+            , "{"
+            , "    void *_Nullable user_data = mem->user_data;"
+            , "    if (user_data != nullptr) {"
+            , "        mem->funcs->dealloc_callback(user_data, ptr);"
+            , "    }"
+            , "}"
+            , "void tox_memory_free(struct Tox_Memory *mem)"
+            , "{"
+            , "    if (mem == nullptr) {"
+            , "        return;"
+            , "    }"
+            , "    tox_memory_dealloc(mem, mem);"
+            , "}"
+            ]
+        prog `shouldHaveErrors`
+            [ "test.c:21: type mismatch: expected P1(ptr):inst:1* owner nullable, got struct Tox_Memory<T16(self), T17(ptr), T18(user_data)>* nonnull"
+            , "  actual type is missing owner qualifier"
+            , "  while unifying P1(ptr):inst:1* owner nullable and struct Tox_Memory<T16(self), T17(ptr), T18(user_data)>* nonnull (general mismatch)"
+            , ""
+            , "  where template P1(ptr):inst:1 is unbound"
+            , "        template T16(self) was bound to self due to type mismatch: expected T16(self), got self"
+            , "        template self was bound to P0(self):inst:1 due to type mismatch: expected self, got P0(self):inst:1"
+            , "        template P0(self):inst:1 is unbound"
+            , "        template T17(ptr) was bound to ptr due to type mismatch: expected T17(ptr), got ptr"
+            , "        template ptr was bound to P1(ptr):inst:1 due to type mismatch: expected ptr, got P1(ptr):inst:1"
+            , "        template T18(user_data) was bound to user_data due to type mismatch: expected T18(user_data), got user_data"
+            , "        template user_data was bound to P0(self):inst:1 due to type mismatch: expected user_data, got P0(self):inst:1"
+            ]
+    it "handles Tox_Memory deallocation pattern correctly with owned parameter" $ do
+        prog <- mustParse
+            [ "typedef void tox_memory_dealloc_cb(void *_Nonnull self, void *_Owned _Nullable ptr);"
+            , "struct Tox_Memory_Funcs {"
+            , "    tox_memory_dealloc_cb *_Nonnull dealloc_callback;"
+            , "};"
+            , "struct Tox_Memory {"
+            , "    const struct Tox_Memory_Funcs *_Nonnull funcs;"
+            , "    void *_Nullable user_data;"
+            , "};"
+            , "void tox_memory_dealloc(const struct Tox_Memory *mem, void *_Owned _Nullable ptr)"
+            , "{"
+            , "    void *_Nullable user_data = mem->user_data;"
+            , "    if (user_data != nullptr) {"
+            , "        mem->funcs->dealloc_callback(user_data, ptr);"
+            , "    }"
+            , "}"
+            , "void tox_memory_free(struct Tox_Memory *_Owned mem)"
+            , "{"
+            , "    if (mem == nullptr) {"
+            , "        return;"
+            , "    }"
+            , "    tox_memory_dealloc(mem, mem);"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "enforces subsumption Template T (Just i) <: Template T Nothing" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *h[2]; };"
+            , "void set(struct My_Struct *r, int i, void *o) { r->h[i] = o; }"
+            , "void f(struct My_Struct *r, int *p) {"
+            , "    r->h[0] = p;" -- T_idx_0 becomes int*
+            , "}"
+            , "void g(struct My_Struct *r, float *p) {"
+            , "    set(r, 0, p);" -- T_universal becomes float*
+            , "}"
+            ]
+        -- h is Mixed (Flavor C)
+        -- In 'f', h[0] is Template "h" (Just 0)
+        -- In 'set', h[i] is Template "h" Nothing
+        -- Subsumption should mean T_idx_0 <: T_universal
+        -- So int* <: float* (should fail)
+        prog `shouldHaveErrors`
+            [ "test.c:7: type mismatch: expected P0(h):inst:0*, got float"
+            , "  expected P0(h):inst:0*, but got float"
+            , "  while unifying P0(h):inst:0* and float (general mismatch)"
+            , "  while unifying P0(h):inst:0** and float* (general mismatch)"
+            , ""
+            , "  where template P0(h):inst:0 is unbound"
+            , "test.c:4: assignment type mismatch: expected T4(h)*, got int32_t"
+            , "  expected T4(h)*, but got int32_t"
+            , "  while unifying T4(h)* and int32_t (assignment)"
+            , "  while unifying T4(h)*[2] and int32_t* (assignment)"
+            , "  where template T4(h) was bound to h due to type mismatch: expected T4(h), got h"
+            , "        template h is unbound"
+            ]
+    it "disallows dereferencing a non-pointer" $ do
+        prog <- mustParse ["void f(int x) { *x = 1; }"]
+        prog `shouldHaveErrors`
+            [ "test.c:1: type mismatch: expected T0*, got int32_t"
+            , "  expected T0*, but got int32_t"
+            , "  while unifying T0* and int32_t (general mismatch)"
+            , ""
+            , "  where template T0 is unbound"
+            ]
+
+    it "disallows member access on a non-struct" $ do
+        prog <- mustParse ["void f(void *p) { ((int)p).x = 1; }"]
+        osrErrors (runFullAnalysis prog) `errorsShouldMatch`
+            [ "test.c:1: type mismatch: expected int32_t, got T0*"
+            , "  expected int32_t, but got T0*"
+            , "  while unifying int32_t and T0* (general mismatch)"
+            , ""
+            , "  where template T0 was bound to p due to type mismatch: expected T0, got p"
+            , "        template p is unbound"
+            ]
+
+    describe "Polymorphism and void* Inference" $ do
+        it "handles bin_pack_array_cb pattern with template inference" $ do
+            prog <- mustParse
+                [ "struct Logger { void *config; };"
+                , "struct Bin_Pack { int x; };"
+                , "typedef bool bin_pack_array_cb(const void *_Nullable arr, uint32_t index, const struct Logger *_Nullable logger, struct Bin_Pack *_Nonnull bp);"
+                , "uint32_t bin_pack_obj_array_b_size(bin_pack_array_cb *_Nonnull callback, const void *_Nullable arr, uint32_t arr_size, const struct Logger *_Nullable logger);"
+                , "static bool bin_pack_node_handler(const void *_Nullable arr, uint32_t index, const struct Logger *_Nullable logger, struct Bin_Pack *_Nonnull bp)"
+                , "{"
+                , "    const int *_Nullable nodes = (const int *_Nullable)arr;"
+                , "    return true;"
+                , "}"
+                , "int pack_nodes(const struct Logger *_Nullable logger, const int *_Nonnull nodes, uint16_t number)"
+                , "{"
+                , "    return bin_pack_obj_array_b_size(bin_pack_node_handler, nodes, number, logger);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "infers parameter type from cast in function body" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "void f(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    f(&s);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error when passing wrong type to inferred templated function" $ do
+            prog <- mustParse
+                [ "void f(void *p) { int *x = (int *)p; }"
+                , "struct My_Struct { int x; };"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    f(&s);"
+                , "    int y = 1;"
+                , "    f(&y);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:5: type mismatch: expected int32_t, got struct My_Struct"
+                , "  expected int32_t, but got struct My_Struct"
+                , "  while unifying int32_t and struct My_Struct (general mismatch)"
+                , "  while unifying int32_t* and struct My_Struct* (general mismatch)"
+                ]
+
+        it "handles templated typedefs and callback registration" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "typedef void cb_cb(void *obj);"
+                , "void register_callback(cb_cb *f, void *obj);"
+                , "void my_handler(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    register_callback(my_handler, &s);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "allows assigning an inferred callback to a _Nullable callback pointer" $ do
+            prog <- mustParse
+                [ "typedef void my_cb(void *userdata);"
+                , "struct My_Handler {"
+                , "    my_cb *_Nullable callback;"
+                , "    void *userdata;"
+                , "};"
+                , "void my_handler(void *userdata) {"
+                , "    int *p = (int *)userdata;"
+                , "}"
+                , "void f(struct My_Handler *h, int *p) {"
+                , "    h->callback = my_handler;"
+                , "    h->userdata = p;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles passing a _Nullable callback to another function" $ do
+            prog <- mustParse
+                [ "typedef void my_cb(void *userdata);"
+                , "void g(my_cb *_Nullable callback, void *userdata) {"
+                , "    if (callback != nullptr) { callback(userdata); }"
+                , "}"
+                , "void f(my_cb *_Nullable callback, void *userdata) {"
+                , "    g(callback, userdata);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "supports heterogeneous arrays of callbacks" $ do
+            pendingWith "TODO"
+            prog <- mustParse
+                [ "typedef void dht_ip_cb(void *userdata);"
+                , "struct Callback_Slot {"
+                , "    dht_ip_cb *_Nullable callback;"
+                , "    void *userdata;"
+                , "};"
+                , "struct DHT_Friend {"
+                , "    struct Callback_Slot slots[10];"
+                , "};"
+                , "void h1(void *userdata) { int *x = (int *)userdata; }"
+                , "void h2(void *userdata) { float *x = (float *)userdata; }"
+                , "void f(struct DHT_Friend *f, int *p1, float *p2) {"
+                , "    f->slots[0].callback = h1;"
+                , "    f->slots[0].userdata = p1;"
+                , "    f->slots[1].callback = h2;"
+                , "    f->slots[1].userdata = p2;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "repro template count mismatch in struct member" $ do
+            prog <- mustParse
+                [ "struct Logger {"
+                , "    logger_cb *callback;"
+                , "};"
+                , ""
+                , "typedef void logger_cb(void *context);"
+                , ""
+                , "void h(void *context) {"
+                , "    int *x = (int *)context;"
+                , "}"
+                , ""
+                , "void g(logger_cb *cb) {"
+                , "    struct Logger l;"
+                , "    l.callback = cb;"
+                , "}"
+                , ""
+                , "void f(struct Logger *log) {"
+                , "    log->callback = h;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "infers template type for structs with void* members" $ do
+            prog <- mustParse
+                [ "struct My_S { void *data; };"
+                , "void set_data(struct My_S *s, void *d) { s->data = d; }"
+                , "void f() {"
+                , "    struct My_S s;"
+                , "    int x;"
+                , "    set_data(&s, &x);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error when using a templated struct with incompatible types" $ do
+            prog <- mustParse
+                [ "struct Memory { void *ptr; };"
+                , "void g(struct Memory *m, int *p) { m->ptr = p; }"
+                , "void f() {"
+                , "    struct Memory m;"
+                , "    int x;"
+                , "    float y;"
+                , "    g(&m, &x);"
+                , "    g(&m, &y);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:8: type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (general mismatch)"
+                , "  while unifying int32_t* and float* (general mismatch)"
+                ]
+
+        it "repro Tox_Memory type mismatch" $ do
+            prog <- mustParse
+                [ "typedef struct Tox_Memory_Funcs Tox_Memory_Funcs;"
+                , "typedef struct Tox_Memory Tox_Memory;"
+                , "typedef void *tox_memory_malloc_cb(void *self, uint32_t size);"
+                , "struct Tox_Memory_Funcs { tox_memory_malloc_cb *malloc_callback; };"
+                , "struct Tox_Memory { const Tox_Memory_Funcs *funcs; void *user_data; };"
+                , "void *tox_memory_malloc(const Tox_Memory *mem, uint32_t size) {"
+                , "    return mem->funcs->malloc_callback(mem->user_data, size);"
+                , "}"
+                , "void *mem_balloc(const Tox_Memory *mem, uint32_t size) {"
+                , "    return tox_memory_malloc(mem, size);"
+                , "}"
+                , "void *tox_memory_alloc(const Tox_Memory *mem, uint32_t size) {"
+                , "    return tox_memory_malloc(mem, size);"
+                , "}"
+                , "Tox_Memory *tox_memory_new(const Tox_Memory_Funcs *funcs, void *user_data) {"
+                , "    Tox_Memory bootstrap;"
+                , "    bootstrap.funcs = funcs;"
+                , "    bootstrap.user_data = user_data;"
+                , "    Tox_Memory *mem = (Tox_Memory *)tox_memory_alloc(&bootstrap, sizeof(Tox_Memory));"
+                , "    if (mem != nullptr) { *mem = bootstrap; }"
+                , "    return mem;"
+                , "}"
+                , "uint8_t *memdup(const Tox_Memory *mem, uint8_t const *data, uint32_t data_size) {"
+                , "    uint8_t *copy = (uint8_t *)mem_balloc(mem, data_size);"
+                , "    return copy;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles Tox<T> global inference pattern" $ do
+            prog <- mustParse
+                [ "struct Tox { void *userdata; };"
+                , "typedef void tox_cb(struct Tox *tox, void *userdata);"
+                , "void tox_do_something(struct Tox *tox, tox_cb *cb) { cb(tox, tox->userdata); }"
+                , "struct My_Data { int x; };"
+                , "void tox_handler(struct Tox *tox, void *userdata) {"
+                , "    struct My_Data *d = (struct My_Data *)userdata;"
+                , "}"
+                , "void f() {"
+                , "    struct Tox *tox;"
+                , "    struct My_Data d;"
+                , "    tox_do_something(tox, tox_handler);"
+                , "    tox->userdata = &d;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for Tox<T> when userdata is inconsistent" $ do
+            prog <- mustParse
+                [ "struct Tox { void *userdata; };"
+                , "typedef void tox_cb(struct Tox *tox, void *userdata);"
+                , "void tox_invoke(struct Tox *tox, tox_cb *cb) { cb(tox, tox->userdata); }"
+                , "struct My_Data { int x; };"
+                , "void tox_handler(struct Tox *tox, void *userdata) {"
+                , "    struct My_Data *d = (struct My_Data *)userdata;"
+                , "}"
+                , "void f() {"
+                , "    struct Tox tox;"
+                , "    struct My_Data d;"
+                , "    tox_invoke(&tox, &tox_handler);"
+                , "    int x;"
+                , "    tox.userdata = &x;"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:13: assignment type mismatch: expected struct My_Data, got int32_t"
+                , "  expected struct My_Data, but got int32_t"
+                , "  while unifying struct My_Data and int32_t (assignment)"
+                , "  while unifying T9(userdata)* and int32_t* (assignment)"
+                , ""
+                , "  where template T9(userdata) was bound to P0(userdata):inst:1 due to type mismatch: expected T9(userdata), got P0(userdata):inst:1"
+                , "        template P0(userdata):inst:1 was bound to struct My_Data due to type mismatch: expected P0(userdata):inst:1, got struct My_Data"
+                ]
+
+        it "handles polymorphic sort-like function with multiple different callbacks" $ do
+            prog <- mustParse
+                [ "typedef int compare_cb(const void *a, const void *b);"
+                , "void qsort(void *base, int nmemb, int size, compare_cb *compar) {"
+                , "    compar(base, base);"
+                , "}"
+                , "int compare_int(const void *a, const void *b) {"
+                , "    const int *ia = (const int *)a;"
+                , "    const int *ib = (const int *)b;"
+                , "    if (*ia < *ib) return -1;"
+                , "    if (*ia > *ib) return 1;"
+                , "    return 0;"
+                , "}"
+                , "int compare_float(const void *a, const void *b) {"
+                , "    float const *fa = (float const *)a;"
+                , "    float const *fb = (float const *)b;"
+                , "    if (*fa < *fb) return -1;"
+                , "    if (*fa > *fb) return 1;"
+                , "    return 0;"
+                , "}"
+                , "void f() {"
+                , "    int ia[10];"
+                , "    qsort(ia, 10, sizeof(int), compare_int);"
+                , "    float fa[10];"
+                , "    qsort(fa, 10, sizeof(float), compare_float);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for polymorphic sort when callback and data mismatch" $ do
+            -- pendingWith "TODO"
+            prog <- mustParse
+                [ "typedef int compare_cb(const void *a, const void *b);"
+                , "void sort(void *base, uint32_t nmemb, uint32_t size, compare_cb *compar);"
+                , "int compare_int(const int *a, const int *b) { return (*a - *b); }"
+                , "void f() {"
+                , "    float arr[10];"
+                , "    sort(arr, 10, sizeof(float), compare_int);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:6: type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (general mismatch)"
+                , "  while unifying int32_t const and P1(a):inst:0 const (general mismatch)"
+                , "  while unifying int32_t const* and P1(a):inst:0 const* (general mismatch)"
+                , "  while unifying int32_t(P1(a):inst:0 const*, P2(b):inst:0 const*) and int32_t(int32_t const*, int32_t const*) (general mismatch)"
+                , "  while unifying int32_t(P1(a):inst:0 const*, P2(b):inst:0 const*)* and int32_t(int32_t const*, int32_t const*) (general mismatch)"
+                , ""
+                , "  where template P1(a):inst:0 was bound to float due to type mismatch: expected P1(a):inst:0, got float"
+                , "        template P2(b):inst:0 was bound to float due to type mismatch: expected P2(b):inst:0, got float"
+                , "  while unifying int32_t const and P2(b):inst:0 const (general mismatch)"
+                , "  while unifying int32_t const* and P2(b):inst:0 const* (general mismatch)"
+                , "  where template P2(b):inst:0 was bound to float due to type mismatch: expected P2(b):inst:0, got float"
+                , "        template P1(a):inst:0 was bound to float due to type mismatch: expected P1(a):inst:0, got float"
+                ]
+
+        it "handles multiple void* parameters with same inference" $ do
+            prog <- mustParse
+                [ "void g(void *a, void *b) { a = b; }"
+                , "void f() {"
+                , "    int x;"
+                , "    float y;"
+                , "    int *px = &x;"
+                , "    float *py = &y;"
+                , "    g(px, px);"
+                , "    g(px, py);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:8: type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (general mismatch)"
+                , "  while unifying P0(a):inst:1* and float* (general mismatch)"
+                , "  while unifying P0(a):inst:1* and float* nonnull (general mismatch)"
+                , ""
+                , "  where template P0(a):inst:1 was bound to int32_t due to type mismatch: expected P0(a):inst:1, got int32_t"
+                ]
+        it "infers polymorphic type through nested structs" $ do
+            prog <- mustParse
+                [ "struct Inner { void *ptr; };"
+                , "struct Outer { struct Inner inner; };"
+                , "void h(struct Inner *i, int *p) { i->ptr = p; }"
+                , "void g(struct Outer *o, float *f) {"
+                , "    h(&o->inner, f);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:5: type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (general mismatch)"
+                , "  while unifying int32_t* and float* (general mismatch)"
+                ]
+
+        it "infers polymorphic type from function return value" $ do
+            prog <- mustParse
+                [ "void *identity(void *p) { return p; }"
+                , "void f(int *p) {"
+                , "    float *fp = identity(p);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:3: type mismatch: expected float, got int32_t"
+                , "  expected float, but got int32_t"
+                , "  while unifying float and int32_t (general mismatch)"
+                , "  while unifying float* and P0:inst:0* (general mismatch)"
+                , ""
+                , "  where template P0:inst:0 was bound to int32_t due to type mismatch: expected P0:inst:0, got int32_t"
+                ]
+
+        it "allows memcpy with matching pointer types" $ do
+            prog <- mustParse
+                [ "void f(int *a, int *b) { memcpy(a, b, sizeof(int)); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for memcpy with mismatching pointer types" $ do
+            prog <- mustParse
+                [ "void f(int *a, float *b, uint32_t n) { memcpy(a, b, n); }"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (general mismatch)"
+                , "  while unifying P0(T):inst:0 const and float (general mismatch)"
+                , "  while unifying P0(T):inst:0 const* and float* (general mismatch)"
+                , ""
+                , "  where template P0(T):inst:0 was bound to int32_t due to type mismatch: expected P0(T):inst:0, got int32_t"
+                ]
+        it "handles callback registration with userdata" $ do
+            prog <- mustParse
+                [ "typedef void cb_cb(void *obj);"
+                , "void register_callback(cb_cb *f, void *obj) { f(obj); }"
+                , "struct My_Struct { int x; };"
+                , "void my_handler(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    register_callback(my_handler, &s);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for mismatched callback and userdata" $ do
+            prog <- mustParse
+                [ "typedef void cb_cb(void *obj);"
+                , "void register_callback(cb_cb *f, void *obj) { f(obj); }"
+                , "struct My_Struct { int x; };"
+                , "void my_handler(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    int x;"
+                , "    register_callback(my_handler, &x);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:7: type mismatch: expected struct My_Struct, got int32_t"
+                , "  expected struct My_Struct, but got int32_t"
+                , "  while unifying struct My_Struct and int32_t (general mismatch)"
+                , "  while unifying struct My_Struct* and P0(obj):inst:1* (general mismatch)"
+                , "  while unifying void(P0(obj):inst:1*) and void(struct My_Struct*) (general mismatch)"
+                , "  while unifying void(P0(obj):inst:1*)* and void(struct My_Struct*) (general mismatch)"
+                , ""
+                , "  where template P0(obj):inst:1 was bound to int32_t due to type mismatch: expected P0(obj):inst:1, got int32_t"
+                ]
+    describe "Const correctness" $ do
+        it "allows assigning const int to int (copy)" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    const int x = 1;"
+                , "    int y = x;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error when assigning const int* to int* (pointer)" $ do
+            prog <- mustParse
+                [ "void f(const int *p) {"
+                , "    int *q = p;"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:2: type mismatch: expected int32_t, got int32_t const"
+                , "  actual type has unexpected const qualifier"
+                , "  while unifying int32_t and int32_t const (general mismatch)"
+                , "  while unifying int32_t* and int32_t const* (general mismatch)"
+                ]
+
+    describe "Flow-sensitive Nullability" $ do
+        it "allows dereferencing a _Nullable pointer after a null check" $ do
+            prog <- mustParse
+                [ "void flow1(int *_Nullable p) {"
+                , "    if (p != nullptr) {"
+                , "        *p = 1;"
+                , "    }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "allows passing a _Nullable pointer to a _Nonnull parameter after a null check" $ do
+            prog <- mustParse
+                [ "void g_flow2(int *_Nonnull p);"
+                , "void flow2(int *_Nullable p) {"
+                , "    if (p) {"
+                , "        g_flow2(p);"
+                , "    }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "disallows dereferencing a _Nullable pointer without a check" $ do
+            prog <- mustParse
+                [ "void flow3(int *_Nullable p) {"
+                , "    *p = 1;"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:2: type mismatch: expected int32_t*, got int32_t* nullable"
+                , "  expected int32_t*, but got int32_t* nullable"
+                , "  while unifying int32_t* and int32_t* nullable (general mismatch)"
+                ]
+
+        it "disallows dereferencing a _Nullable pointer in the else branch" $ do
+            prog <- mustParse
+                [ "void flow4(int *_Nullable p) {"
+                , "    if (p == nullptr) {"
+                , "        /* empty */"
+                , "    } else {"
+                , "        *p = 1;"
+                , "    }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "disallows dereferencing a _Nullable pointer after it might have become null" $ do
+            prog <- mustParse
+                [ "void flow5(int *_Nullable p) {"
+                , "    if (p) {"
+                , "        p = nullptr;"
+                , "        *p = 1; /* should fail */"
+                , "    }"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:3: assignment type mismatch: expected int32_t* nonnull, got nullptr_t"
+                , "  actual type is missing nonnull qualifier"
+                , "  while unifying int32_t* nonnull and nullptr_t (assignment)"
+                , "test.c:4: type mismatch: expected int32_t*, got int32_t* nullable"
+                , "  expected int32_t*, but got int32_t* nullable"
+                , "  while unifying int32_t* and int32_t* nullable (general mismatch)"
+                ]
+    describe "Enums" $ do
+        it "handles enum comparisons" $ do
+            prog <- mustParse
+                [ "typedef enum Color { COLOR_RED, COLOR_GREEN, COLOR_BLUE } Color;"
+                , "void f(Color c) { if (c >= COLOR_GREEN) return; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles enum members directly" $ do
+            prog <- mustParse
+                [ "typedef enum Level { LVL_INFO, LVL_WARN } Level;"
+                , "void f() { Level l = LVL_INFO; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "allows assigning enum member to int" $ do
+            prog <- mustParse
+                [ "typedef enum Level { LVL_INFO, LVL_WARN } Level;"
+                , "void f() { int x = LVL_INFO; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "disallows assigning int to enum" $ do
+            prog <- mustParse
+                [ "typedef enum Level { LVL_INFO, LVL_WARN } Level;"
+                , "void f(int x) { Level l = x; }"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:2: type mismatch: expected enum Level, got int32_t"
+                , "  expected enum Level, but got int32_t"
+                , "  while unifying enum Level and int32_t (general mismatch)"
+                ]
+
+    describe "Bitwise and Arithmetic operators" $ do
+        it "infers types of bitwise operators" $ do
+            prog <- mustParse ["void f() { int x = (1 & 2) | (3 ^ 4) << 1; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "infers types of comparison operators" $ do
+            pendingWith "Literal decay for equality comparison doesn't work yet"
+            prog <- mustParse ["void f() { bool b = (1 == 2); }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Miscellaneous C features" $ do
+        it "infers types of sizeof expressions" $ do
+            prog <- mustParse ["void f() { int s = sizeof(int); }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles __func__ predefined identifier" $ do
+            prog <- mustParse ["void f() { const char *s = __func__; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles sizeof(__func__)" $ do
+            prog <- mustParse ["void f() { int s = sizeof(__func__); }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles __FUNCTION__ predefined identifier" $ do
+            prog <- mustParse ["void f() { const char *s = __FUNCTION__; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles __PRETTY_FUNCTION__ predefined identifier" $ do
+            prog <- mustParse ["void f() { const char *s = __PRETTY_FUNCTION__; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles __FILE__ predefined identifier" $ do
+        prog <- mustParse ["void f() { const char *s = __FILE__; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles __LINE__ predefined identifier" $ do
+        prog <- mustParse ["void f() { int l = __LINE__; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Control flow" $ do
+        it "reports error for return type mismatch" $ do
+            prog <- mustParse ["int f() { return \"hello\"; }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  while unifying int32_t and char* (general mismatch)"
+                ]
+
+        it "reports error for if condition mismatch" $ do
+            prog <- mustParse ["struct My_S { int x; }; void f(struct My_S s) { if (s) { /* nothing */ } }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected bool, got struct My_S"
+                , "  expected bool, but got struct My_S"
+                , "  while unifying bool and struct My_S (general mismatch)"
+                ]
+
+        it "reports error for while condition mismatch" $ do
+            prog <- mustParse ["struct My_S { int x; }; void f(struct My_S s) { while (s) { /* nothing */ } }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected bool, got struct My_S"
+                , "  expected bool, but got struct My_S"
+                , "  while unifying bool and struct My_S (general mismatch)"
+                ]
+
+    describe "Macros" $ do
+        it "infers types of macros used as templates" $ do
+            prog <- mustParse
+                [ "void g(int p);"
+                , "#define CALL_G(x) g(x)"
+                , "void f() { CALL_G(1); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "infers types of statement-like macros" $ do
+            prog <- mustParse
+                [ "#define SWAP_INT(x, y) do { int tmp = x; x = y; y = tmp; } while (0)"
+                , "void f() { int a = 1; int b = 2; SWAP_INT(a, b); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports type mismatch in statement-like macros" $ do
+            prog <- mustParse
+                [ "#define SWAP_INT(x, y) do { int tmp = x; x = y; y = tmp; } while (0)"
+                , "void f() { int a = 1; int *b = nullptr; SWAP_INT(a, b); }"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:1: assignment type mismatch: expected int32_t, got int32_t*"
+                , "  expected int32_t, but got int32_t*"
+                , "  while unifying int32_t and int32_t* (assignment)"
+                , "  in macro 'SWAP_INT'"
+                , "test.c:1: assignment type mismatch: expected int32_t*, got int32_t"
+                , "  expected int32_t*, but got int32_t"
+                , "  while unifying int32_t* and int32_t (assignment)"
+                ]
+        it "handles UINT32_C macro" $ do
+            prog <- mustParse ["void f() { uint32_t x = UINT32_C(1); }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles LOGGER_WRITE macro pattern" $ do
+            prog <- mustParse
+                [ "typedef enum Logger_Level { LOGGER_LEVEL_DEBUG } Logger_Level;"
+                , "struct Logger { int x; };"
+                , "void logger_write(const struct Logger *log, Logger_Level level, const char *file, uint32_t line, const char *func, const char *format, ...);"
+                , "#define MIN_LOGGER_LEVEL LOGGER_LEVEL_DEBUG"
+                , "#define LOGGER_WRITE(log, level, ...) do { if (level >= MIN_LOGGER_LEVEL) { logger_write(log, level, __FILE__, __LINE__, __func__, __VA_ARGS__); } } while (0)"
+                , "#define LOGGER_DEBUG(log, ...) LOGGER_WRITE(log, LOGGER_LEVEL_DEBUG, __VA_ARGS__)"
+                , "void f(const struct Logger *log) { LOGGER_DEBUG(log, \"test %d\", 1); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Unions" $ do
+        it "handles union member access" $ do
+            prog <- mustParse
+                [ "union My_Union { int x; float y; };"
+                , "void f() { union My_Union u; u.x = 1; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles static function scope" $ do
+        prog <- mustParse
+            [ "static int g(int x) { return x; }"
+            , "int f() { return g(1); }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles array of function pointers" $ do
+        prog <- mustParse
+            [ "typedef void worker_cb(int x);"
+            , "void task1(int x) { return; }"
+            , "void task2(int x) { return; }"
+            , "void f() {"
+            , "    worker_cb *workers[2];"
+            , "    workers[0] = task1;"
+            , "    workers[1] = task2;"
+            , "}"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Networking types (extended)" $ do
+        it "handles WSAAddressToString and LPSOCKADDR" $ do
+            prog <- mustParse
+                [ "void f(struct sockaddr_in *saddr) {"
+                , "    char buf[64];"
+                , "    DWORD len = 64;"
+                , "    WSAAddressToString((LPSOCKADDR)saddr, sizeof(*saddr), nullptr, buf, &len);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles LPTSTR casts" $ do
+            pendingWith "TODO"
+            prog <- mustParse
+                [ "void f(const char *s) {"
+                , "    LPTSTR s2 = (LPTSTR)s;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles implicit conversion from int to bool in networking error checks" $ do
+            prog <- mustParse
+                [ "void f(int s) {"
+                , "    struct sockaddr_in saddr = {0};"
+                , "    if (bind(s, (struct sockaddr *)&saddr, sizeof(saddr)) == -1) {"
+                , "        /* error handling */"
+                , "    }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles inet_ntop and inet_pton with void* templates" $ do
+            prog <- mustParse
+                [ "void f(struct in_addr *addr) {"
+                , "    char buf[16];"
+                , "    inet_ntop(2, addr, buf, 16);"
+                , "    inet_pton(2, \"127.0.0.1\", addr);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles addrinfo structure and getaddrinfo" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct addrinfo hints = {0};"
+                , "    struct addrinfo *res;"
+                , "    getaddrinfo(\"localhost\", \"80\", &hints, &res);"
+                , "    freeaddrinfo(res);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles errno as a built-in variable" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    int err = errno;"
+                , "    errno = 0;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles structure member access for networking types" $ do
+            prog <- mustParse
+                [ "void f(struct sockaddr_in *saddr) {"
+                , "    saddr->sin_family = 2;"
+                , "    saddr->sin_port = 80;"
+                , "    saddr->sin_addr.s_addr = 0;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles ipv6_mreq initialization" $ do
+            prog <- mustParse ["void f() { struct ipv6_mreq mreq = {{{{0}}}}; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles dereferencing function call result" $ do
+            prog <- mustParse
+                [ "typedef struct My_Struct { int x; } My_Struct;"
+                , "const My_Struct *get_s(int i) { return nullptr; }"
+                , "void f() { const My_Struct s_var = *get_s(1); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error with inference chain for template conflict" $ do
+            prog <- mustParse
+                [ "void f(void *a, void *b) {"
+                , "    int *ia = (int *)a;"
+                , "    float *fb = (float *)b;"
+                , "    a = b;"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:4: assignment type mismatch: expected int32_t, got float"
+                , "  expected int32_t, but got float"
+                , "  while unifying int32_t and float (assignment)"
+                , "  while unifying T0* and T1* (assignment)"
+                , ""
+                , "  where template T0 was bound to a due to type mismatch: expected T0, got a"
+                , "        template a was bound to int32_t due to type mismatch: expected a, got int32_t"
+                , "        template T1 was bound to b due to type mismatch: expected T1, got b"
+                , "        template b was bound to float due to type mismatch: expected b, got float"
+                ]
+        it "handles sockaddr_in to sockaddr* implicit conversion" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct sockaddr_in saddr = {0};"
+                , "    int s = socket(2, 1, 0);"
+                , "    bind(s, (const struct sockaddr *)&saddr, sizeof(saddr));"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles sockaddr_in6 to sockaddr* implicit conversion" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct sockaddr_in6 saddr = {0};"
+                , "    int s = socket(10, 1, 0);"
+                , "    connect(s, (const struct sockaddr *)&saddr, sizeof(saddr));"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles sockaddr_storage compatibility" $ do
+            prog <- mustParse
+                [ "void f(int s) {"
+                , "    struct sockaddr_storage addr;"
+                , "    socklen_t len = sizeof(addr);"
+                , "    getsockopt(s, 0, 0, &addr, &len);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles Windows-specific WSAStartup and MAKEWORD" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    WSADATA wsaData;"
+                , "    WSAStartup(MAKEWORD(2, 2), &wsaData);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles typedef of forward-declared struct" $ do
+        prog <- mustParse
+            [
+              "typedef struct My_S My_S;"
+            , "struct My_S { int x; };"
+            , "int f(My_S *s) { return s->x; }"
+            ]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles ternary operator" $ do
+        pendingWith "Literal decay for equality comparison doesn't work yet"
+        prog <- mustParse ["void f() { int x = (1 == 1 ? 1 : 2); }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "handles ternary operator with non-constant argument" $ do
+        pendingWith "Literal decay for equality comparison doesn't work yet"
+        prog <- mustParse ["int f(bool x) { return x ? 2 : 3; }"]
+        shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    it "reports error for ternary operator branch mismatch" $ do
+        prog <- mustParse ["void f() { int x = (1 == 1 ? 1 : \"hello\"); }"]
+        prog `shouldHaveErrors`
+            [ "test.c:1: type mismatch: expected char*, got int32_t=1"
+            , "  expected char*, but got int32_t=1"
+            , "  while unifying char* and int32_t=1 (general mismatch)"
+            , "test.c:1: type mismatch: expected int32_t=1, got char*"
+            , "  expected int32_t=1, but got char*"
+            , "  while unifying int32_t=1 and char* (general mismatch)"
+            ]
+
+    describe "Structs and Arrays" $ do
+        it "handles nested struct member access" $ do
+            prog <- mustParse
+                [ "struct Inner { int y; };"
+                , "struct Outer { struct Inner x; };"
+                , "int f(struct Outer *o) { return o->x.y; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles struct array access" $ do
+            prog <- mustParse
+                [ "struct My_S { int client_list[8]; };"
+                , "int f(struct My_S *s) { return s->client_list[0]; }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles array-to-pointer decay in function calls" $ do
+            prog <- mustParse
+                [ "void g(char *p);"
+                , "void f() {"
+                , "    char a[8];"
+                , "    g(a);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for inconsistent types in initializer list" $ do
+            prog <- mustParse ["void f() { int a[2] = { 1, \"hello\" }; }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  while unifying int32_t and char* (general mismatch)"
+                ]
+
+    describe "Pointers and Arithmetic" $ do
+        it "handles pointer arithmetic" $ do
+            prog <- mustParse ["void f(int *p) { int *q = p + 1; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for pointer arithmetic with incompatible types" $ do
+            prog <- mustParse ["void f(int *p) { int *q = p + \"hello\"; }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  while unifying int32_t and char* (general mismatch)"
+                ]
+
+        it "handles double pointer null check" $ do
+            prog <- mustParse ["bool has_null(uint8_t **ptr) { return *ptr == nullptr; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles double pointer != nullptr check" $ do
+            prog <- mustParse ["bool is_not_null(uint8_t **ptr) { return *ptr != nullptr; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles double pointer [0] null check" $ do
+            prog <- mustParse ["bool has_null_arr(uint8_t **ptr) { return ptr[0] == nullptr; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles subtraction of array pointers" $ do
+            prog <- mustParse ["void f() { int a[10]; int *p = a; int *q = a + 5; size_t diff = q - p; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles double pointers" $ do
+            prog <- mustParse ["void f(int **p) { int *q = *p; int x = **p; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Logical and Switch" $ do
+        it "reports error for logical operator operand mismatch" $ do
+            prog <- mustParse ["struct My_S { int x; }; void f(struct My_S s) { bool b = (1 == 1) && s; }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: type mismatch: expected bool, got struct My_S"
+                , "  expected bool, but got struct My_S"
+                , "  while unifying bool and struct My_S (general mismatch)"
+                ]
+
+    describe "Recursion" $ do
+        it "handles simple recursion" $ do
+            prog <- mustParse
+                [ "int factorial(int n) {"
+                , "    if (n <= 1) return 1;"
+                , "    return n * factorial(n - 1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles mutual recursion" $ do
+            prog <- mustParse
+                [ "bool is_even(int n);"
+                , "bool is_odd(int n) {"
+                , "    if (n == 0) return false;"
+                , "    return is_even(n - 1);"
+                , "}"
+                , "bool is_even(int n) {"
+                , "    if (n == 0) return true;"
+                , "    return is_odd(n - 1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "infers polymorphic type through multiple recursive calls" $ do
+            prog <- mustParse
+                [ "void h(void *p) { h(p); }"
+                , "void g(void *p) { h(p); }"
+                , "void f() {"
+                , "    int x;"
+                , "    float y;"
+                , "    int *px = &x;"
+                , "    float *py = &y;"
+                , "    g(px);"
+                , "    g(py);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "Qualifiers and Custom Keywords" $ do
+        it "reports error for _Nonnull pointer assigned nullptr" $ do
+            prog <- mustParse
+                [ "void f(int * _Nonnull p);"
+                , "void g() { f(nullptr); }"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:2: type mismatch: expected int32_t* nonnull, got nullptr_t"
+                , "  actual type is missing nonnull qualifier"
+                , "  while unifying int32_t* nonnull and nullptr_t (general mismatch)"
+                ]
+
+        it "allows _Nullable pointer assigned nullptr" $ do
+            prog <- mustParse
+                [ "void f(int * _Nullable p);"
+                , "void g() { f(nullptr); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles owner qualifier in assignments" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    int * _Owned p = nullptr;"
+                , "    int *q = p;"
+                , "    return;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles calling a non-null function pointer" $ do
+            prog <- mustParse
+                [ "typedef int callback_cb(int x);"
+                , "void f(callback_cb *_Nonnull callback) {"
+                , "    callback(1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles function pointers with wrappers unified with typedefs" $ do
+            prog <- mustParse
+                [ "typedef int callback_cb(void *_Nullable obj);"
+                , "void register_callback(callback_cb *_Nullable cb);"
+                , "int my_handler(void *_Nonnull obj) { return 0; }"
+                , "void f() { register_callback(&my_handler); }"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:4: type mismatch: expected T4(obj)* nonnull, got P0(obj):inst:0* nullable"
+                , "  actual type is missing nonnull qualifier"
+                , "  while unifying T4(obj)* nonnull and P0(obj):inst:0* nullable (general mismatch)"
+                , "  while unifying int32_t(P0(obj):inst:0* nullable) and int32_t(T4(obj)* nonnull) (general mismatch)"
+                , "  while unifying int32_t(P0(obj):inst:0* nullable)* and int32_t(T4(obj)* nonnull)* (general mismatch)"
+                , "  while unifying int32_t(P0(obj):inst:0* nullable)* nullable and int32_t(T4(obj)* nonnull)* (general mismatch)"
+                , ""
+                , "  where template T4(obj) is unbound"
+                , "        template P0(obj):inst:0 is unbound"
+                ]
+        it "successfully solves polymorphic callbacks with consistent nullability" $ do
+            pendingWith "TODO"
+            prog <- mustParse
+                [ "typedef struct IP_Port IP_Port;"
+                , "typedef struct Networking_Core Networking_Core;"
+                , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+                , "struct Packet_Handler { packet_handler_cb *function; void *object; };"
+                , "typedef struct Packet_Handler Packet_Handler;"
+                , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+                , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+                , "    net->packethandlers[byte].function = cb;"
+                , "    net->packethandlers[byte].object = object;"
+                , "}"
+                , "typedef struct Net_Crypto Net_Crypto;"
+                , "struct Net_Crypto { int x; };"
+                , "static int udp_handle_cookie_request(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+                , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+                , "    return 0;"
+                , "}"
+                , "void f(Networking_Core *_Nonnull net, Net_Crypto *_Nonnull temp) {"
+                , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "handles polymorphic callbacks with _Nonnull/_Nullable divergence" $ do
+            prog <- mustParse
+                [ "typedef struct IP_Port IP_Port;"
+                , "typedef struct Networking_Core Networking_Core;"
+                , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+                , "struct Packet_Handler { packet_handler_cb *_Nullable function; void *_Nullable object; };"
+                , "typedef struct Packet_Handler Packet_Handler;"
+                , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+                , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+                , "    net->packethandlers[byte].function = cb;"
+                , "    net->packethandlers[byte].object = object;"
+                , "}"
+                , "typedef struct Net_Crypto Net_Crypto;"
+                , "struct Net_Crypto { int x; };"
+                , "static int udp_handle_cookie_request(void *_Nonnull object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+                , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+                , "    return 0;"
+                , "}"
+                , "void f(Networking_Core *_Nonnull net, Net_Crypto *_Nonnull temp) {"
+                , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:18: type mismatch: expected struct Net_Crypto const* nonnull, got P0(object):inst:0* nullable"
+                , "  actual type is missing nonnull qualifier"
+                , "  while unifying struct Net_Crypto const* nonnull and P0(object):inst:0* nullable (general mismatch)"
+                , "  while unifying int32_t(P0(object):inst:0* nullable, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, P1(userdata):inst:0* nullable) and int32_t(struct Net_Crypto const* nonnull, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, T22(object)* nullable) (general mismatch)"
+                , "  while unifying int32_t(P0(object):inst:0* nullable, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, P1(userdata):inst:0* nullable)* and int32_t(struct Net_Crypto const* nonnull, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, T22(object)* nullable)* (general mismatch)"
+                , "  while unifying int32_t(P0(object):inst:0* nullable, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, P1(userdata):inst:0* nullable)* nullable and int32_t(struct Net_Crypto const* nonnull, IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, T22(object)* nullable)* (general mismatch)"
+                , ""
+                , "  where template P0(object):inst:0 was bound to struct Net_Crypto due to type mismatch: expected P0(object):inst:0, got struct Net_Crypto"
+                , "        template P1(userdata):inst:0 was bound to struct Net_Crypto due to type mismatch: expected P1(userdata):inst:0, got struct Net_Crypto"
+                , "        template T22(object) is unbound"
+                , "test.c:18: type mismatch: expected IP_Port, got IP_Port"
+                , "  expected IP_Port, but got IP_Port"
+                , "  while unifying IP_Port and IP_Port (general mismatch)"
+                , "  while unifying IP_Port const and IP_Port const (general mismatch)"
+                , "  while unifying IP_Port const* and IP_Port const* (general mismatch)"
+                , "  while unifying IP_Port const* nonnull and IP_Port const* nonnull (general mismatch)"
+                ]
+        it "handles member access on a _Nonnull pointer" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "void f(struct My_Struct *_Nonnull p) {"
+                , "    p->x = 1;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+    describe "More Polymorphism" $ do
+        it "reports error for incompatible casts of the same void * pointer" $ do
+            prog <- mustParse
+                [ "struct My_A { int x; };"
+                , "struct My_B { float y; };"
+                , "void f(void *p) {"
+                , "    struct My_A *a = (struct My_A *)p;"
+                , "    struct My_B *b = (struct My_B *)p;"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:5: type mismatch: expected struct My_B, got struct My_A"
+                , "  expected struct My_B, but got struct My_A"
+                , "  while unifying struct My_B and struct My_A (general mismatch)"
+                , "  while unifying struct My_B* and T0* (general mismatch)"
+                , ""
+                , "  where template T0 was bound to p due to type mismatch: expected T0, got p"
+                , "        template p was bound to struct My_A due to type mismatch: expected p, got struct My_A"
+                ]
+
+        it "reports error for polymorphic recursion mismatch" $ do
+            prog <- mustParse
+                [ "struct List { void *data; struct List *next; };"
+                , "void process_list(struct List *l) {"
+                , "    if (!l) return;"
+                , "    int *x = l->data;"
+                , "    float *y = l->next->data;"
+                , "    process_list(l->next);"
+                , "}"
+                ]
+            prog `shouldHaveErrors`
+                [ "test.c:5: type mismatch: expected float, got int32_t"
+                , "  expected float, but got int32_t"
+                , "  while unifying float and int32_t (general mismatch)"
+                , "  while unifying float* and int32_t* (general mismatch)"
+                ]
+
+    describe "Function calls and Variadics" $ do
+        it "handles variadic functions" $ do
+            prog <- mustParse
+                [ "void my_printf(const char *fmt, ...);"
+                , "void f() { my_printf(\"%d %d\", 1, 2); }"
+                ]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+        it "reports error for too few arguments in non-variadic function" $ do
+            prog <- mustParse ["void g(int x, int y); void f() { g(1); }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: too few arguments in function call: expected 2, got 1"
+                , "  "
+                ]
+
+        it "reports error for too many arguments in non-variadic function" $ do
+            prog <- mustParse ["void g(int x); void f() { g(1, 2); }"]
+            prog `shouldHaveErrors`
+                [ "test.c:1: too many arguments in function call: expected 1, got 2"
+                , "  "
+                ]
+
+    describe "Predefined macros" $ do
+        it "handles __FILE__ and __LINE__ predefined macros" $ do
+            prog <- mustParse ["void f() { const char *file = __FILE__; uint32_t line = __LINE__; }"]
+            shouldHaveNoErrors $ osrErrors $ runFullAnalysis prog
+
+-- end of tests
diff --git a/test/Language/Cimple/Analysis/Refined/Arbitrary.hs b/test/Language/Cimple/Analysis/Refined/Arbitrary.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/Arbitrary.hs
@@ -0,0 +1,208 @@
+{-# LANGUAGE FlexibleInstances   #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# OPTIONS_GHC -Wno-orphans #-}
+
+module Language.Cimple.Analysis.Refined.Arbitrary where
+
+import           Data.Bits                                    (shiftL, (.&.),
+                                                               (.|.))
+import           Data.Foldable                                (foldlM)
+import           Data.IntMap.Strict                           (IntMap)
+import qualified Data.IntMap.Strict                           as IntMap
+import           Data.List                                    (foldl')
+import qualified Data.List                                    as List
+import           Data.Map.Strict                              (Map)
+import qualified Data.Map.Strict                              as Map
+import           Data.Text                                    (Text)
+import qualified Data.Text                                    as T
+import           Data.Word                                    (Word32, Word64)
+import           Language.Cimple                              (AlexPosn (..),
+                                                               Lexeme (..),
+                                                               LexemeClass (..))
+import           Language.Cimple.Analysis.Refined.Context
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Language.Cimple.Analysis.Refined.Solver
+import           Language.Cimple.Analysis.Refined.State
+import           Language.Cimple.Analysis.Refined.Types
+import           Test.QuickCheck                              (Arbitrary (..),
+                                                               Gen,
+                                                               arbitraryBoundedEnum,
+                                                               choose, elements,
+                                                               listOf, listOf1,
+                                                               oneof, resize,
+                                                               scale, sized,
+                                                               vectorOf)
+
+instance Arbitrary StdType where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary Quals where
+    arbitrary = Quals <$> arbitrary
+
+instance Arbitrary Nullability where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary Ownership where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary Polarity where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary Variance where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary LatticePhase where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary TemplateId where
+    arbitrary = oneof $
+        [ TIdName . T.pack <$> listOf1 (elements ['a'..'z'])
+        , TIdParam <$> arbitrary <*> arbitrary <*> pure Nothing
+        , TIdSkolem <$> arbitrary <*> arbitrary <*> arbitrary
+        , TIdInstance <$> arbitrary
+        , TIdDeBruijn <$> choose (0, 30)
+        ] ++
+        -- Stable 'Nuisance' Names often encountered in Inference
+        [ pure (TIdName "LIT_0")
+        , pure (TIdName "T")
+        , pure (TIdName "U")
+        , TIdSkolem <$> elements [10, 20, 100] <*> elements [10, 20, 100] <*> choose (0, 5)
+        ]
+
+instance Arbitrary MappingContext where
+    arbitrary = do
+        count <- choose (0, 30)
+        let n1 = min 14 count
+        w1Data <- foldl' (\acc i -> (acc `shiftL` 4) .|. (i .&. 0xF)) 0 <$> vectorOf n1 (choose (0 :: Word64, 15))
+        let w1 = (w1Data `shiftL` 8) .|. fromIntegral count
+
+        let n2 = if count > 14 then count - 14 else 0
+        w2 <- foldl' (\acc i -> (acc `shiftL` 4) .|. (i .&. 0xF)) 0 <$> vectorOf n2 (choose (0 :: Word64, 15))
+        return $ MappingContext w1 w2
+
+instance Arbitrary MappingRefinements where
+    arbitrary = do
+        count <- choose (0, 8)
+        keys <- vectorOf count (arbitrary :: Gen Int)
+        foldlM (\r k -> do
+            nodeID <- arbitrary
+            return $ setRefinement k nodeID r) emptyRefinements keys
+
+instance Arbitrary ProductState where
+    arbitrary = ProductState <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary <*> choose (0, 30) <*> choose (0, 30) <*> oneof [pure Nothing, Just <$> ((,) <$> choose (0, 30) <*> arbitrary)]
+
+instance Arbitrary PathRoot where
+    arbitrary = oneof
+        [ VarRoot <$> arbitrary
+        , ParamRoot <$> arbitrary
+        , InstanceRoot <$> arbitrary
+        ]
+
+instance Arbitrary PathStep where
+    arbitrary = oneof
+        [ FieldStep <$> arbitrary
+        , IndexStep <$> arbitrary
+        , VarStep <$> arbitrary
+        ]
+
+instance Arbitrary SymbolicPath where
+    arbitrary = SymbolicPath <$> arbitrary <*> arbitrary
+
+instance Arbitrary ValueConstraint where
+    arbitrary = oneof [EqConst <$> arbitrary, NotConst <$> arbitrary, EqVariant <$> arbitrary]
+
+instance Arbitrary PathContext where
+    arbitrary = PathContext <$> arbitrary <*> arbitrary
+
+instance Arbitrary T.Text where
+    arbitrary = T.pack <$> listOf1 (elements ['a'..'z'])
+
+instance (Arbitrary a, Ord a) => Arbitrary (AnyRigidNodeF TemplateId a) where
+    arbitrary = oneof
+        [ AnyRigidNodeF <$> (RObject <$> arbitrary <*> arbitrary)
+        , AnyRigidNodeF <$> (RReference <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary)
+        , AnyRigidNodeF <$> (RFunction <$> arbitrary <*> arbitrary)
+        , AnyRigidNodeF <$> (RTerminal <$> arbitrary)
+        ]
+
+instance (Arbitrary a, Ord a) => Arbitrary (ObjectStructure TemplateId a) where
+    arbitrary = sized $ \n ->
+        let sub = resize (n `div` 2) arbitrary
+            listLimit = scale (`div` 4)
+        in oneof $
+            [ VBuiltin <$> arbitrary
+            , VSingleton <$> arbitrary <*> arbitrary
+            , VNominal . dummyL . TIdName . T.pack <$> listOf1 (elements ['A'..'Z']) <*> listLimit (listOf sub)
+            , VEnum . dummyL . TIdName . T.pack <$> listOf1 (elements ['A'..'Z'])
+            , VVar <$> arbitrary <*> oneof [pure Nothing, Just <$> (IVar <$> arbitrary)]
+            , VVariant . IntMap.fromList <$> listLimit (listOf ((,) <$> arbitrary <*> sub))
+            , VProperty <$> sub <*> arbitrary
+            , do terms <- Map.fromListWith (+) <$> listLimit (listOf1 ((,) <$> sub <*> choose (1, 10)))
+                 return $ VSizeExpr (Map.toList terms)
+            ] ++
+            [ do count <- choose (1, 3)
+                 body <- sub
+                 return $ VExistential (map TIdDeBruijn [0..count-1]) body
+            | n > 0 ] ++
+            [ do body <- resize (n - 1) arbitrary
+                 return $ VExistential [TIdDeBruijn 0] body
+            | n > 2 ]
+
+instance Arbitrary a => Arbitrary (RefStructure TemplateId a) where
+    arbitrary = sized $ \n ->
+        let sub = resize (n `div` 2) arbitrary
+            listLimit = scale (`div` 4)
+        in oneof
+            [ Arr <$> sub <*> listLimit (listOf sub)
+            , Ptr <$> arbitrary
+            ]
+
+instance Arbitrary a => Arbitrary (PtrTarget TemplateId a) where
+    arbitrary = sized $ \n ->
+        let sub = resize (n `div` 2) arbitrary
+            listLimit = scale (`div` 4)
+        in oneof
+            [ TargetObject <$> sub
+            , TargetFunction <$> listLimit (listOf sub) <*> arbitrary
+            , TargetOpaque <$> arbitrary
+            ]
+
+instance Arbitrary a => Arbitrary (ReturnType a) where
+    arbitrary = oneof [RetVal <$> arbitrary, pure RetVoid]
+
+instance Arbitrary a => Arbitrary (TerminalNode a) where
+    arbitrary = oneof [pure SBottom, pure SAny, pure SConflict]
+
+instance Arbitrary PropertyKind where
+    arbitrary = oneof
+        [ pure PSize
+        , pure PAlign
+        , POffset . T.pack <$> listOf1 (elements ['a'..'z'])
+        ]
+
+instance Arbitrary a => Arbitrary (Index a) where
+    arbitrary = oneof [ILit <$> arbitrary, IVar <$> arbitrary]
+
+instance Arbitrary StructureKind where
+    arbitrary = arbitraryBoundedEnum
+
+instance Arbitrary Constraint where
+    arbitrary = oneof
+        [ do l <- choose (0, 20)
+             r <- choose (0, 20)
+             pol <- arbitrary
+             ctx <- arbitrary
+             path <- arbitrary
+             dL <- choose (0, 30)
+             dR <- choose (0, 30)
+             return $ CSubtype l r pol ctx path dL dR
+        , do l <- choose (0, 20)
+             r <- choose (0, 20)
+             return $ CInherit l r
+        ]
+
+-- | Helper for dummy Lexemes in tests.
+dummyL :: t -> Lexeme t
+dummyL = L (AlexPn 0 0 0) IdSueType
diff --git a/test/Language/Cimple/Analysis/Refined/ContextSpec.hs b/test/Language/Cimple/Analysis/Refined/ContextSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/ContextSpec.hs
@@ -0,0 +1,76 @@
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+
+module Language.Cimple.Analysis.Refined.ContextSpec (spec) where
+
+import           Control.Exception                          (evaluate)
+import           Data.Bits                                  (shiftR, (.&.))
+import           Data.Word                                  (Word32)
+import           Language.Cimple.Analysis.Refined.Arbitrary ()
+import           Language.Cimple.Analysis.Refined.Context
+import           Test.Hspec
+import           Test.Hspec.QuickCheck                      (prop)
+import           Test.QuickCheck                            ((===))
+
+spec :: Spec
+spec = do
+    describe "MappingContext" $ do
+        it "starts empty" $ do
+            getMapping 0 emptyContext `shouldBe` Nothing
+
+        it "can push and retrieve a mapping" $ do
+            let ctx = pushMapping 5 emptyContext
+            getMapping 0 ctx `shouldBe` Just 5
+            getMapping 1 ctx `shouldBe` Nothing
+
+        it "can store multiple mappings" $ do
+            let ctx = pushMapping 3 $ pushMapping 7 emptyContext
+            getMapping 0 ctx `shouldBe` Just 3
+            getMapping 1 ctx `shouldBe` Just 7
+            getMapping 2 ctx `shouldBe` Nothing
+
+        it "supports up to 15 mappings (due to 60/4)" $ do
+            let ctx = foldl (flip pushMapping) emptyContext [0..14]
+            getMapping 0 ctx `shouldBe` Just 14
+            getMapping 14 ctx `shouldBe` Just 0
+            getMapping 15 ctx `shouldBe` Nothing
+
+        it "saturates at 30 mappings (due to 128-bit structure)" $ do
+            -- The count field (bits 0-7) is capped at 30.
+            let ctx = foldl (flip pushMapping) emptyContext [0..30]
+            getMapping 29 ctx `shouldBe` Just 1
+            getMapping 30 ctx `shouldBe` Nothing
+
+        prop "last pushed mapping is at index 0" $ \m (ctx :: MappingContext) ->
+            getMapping 0 (pushMapping m ctx) == Just (m `mod` 16)
+
+        prop "pushing preserves existing mappings at shifted indices" $ \m (ctx :: MappingContext) ->
+            let newCtx = pushMapping m ctx
+                check i = getMapping (i + 1) newCtx == getMapping i ctx
+            in all check [0..13]
+
+        prop "getMapping returns Nothing for index >= count" $ \ctx ->
+            let MappingContext w1 _ = ctx
+                count = fromIntegral (w1 .&. 0xFF)
+            in all (\i -> getMapping i ctx == Nothing) [count..29]
+
+    describe "MappingRefinements" $ do
+        it "starts empty" $ do
+            getRefinement 0 emptyRefinements `shouldBe` Nothing
+
+        it "can set and get refinements" $ do
+            let refs = setRefinement 123 456 emptyRefinements
+            getRefinement 123 refs `shouldBe` Just 456
+            getRefinement 124 refs `shouldBe` Nothing
+
+        it "can store many refinements" $ do
+            let refs = foldl (\r i -> setRefinement i (fromIntegral i + 10) r) emptyRefinements [0..1000]
+            getRefinement 0 refs `shouldBe` Just 10
+            getRefinement 1000 refs `shouldBe` Just 1010
+
+        prop "set and get refinement" $ \key (nodeID :: Word32) ->
+            let n = nodeID .&. 0x3FFFFFFF
+                refs' = setRefinement key n emptyRefinements
+            in getRefinement key refs' === Just n
+
+
diff --git a/test/Language/Cimple/Analysis/Refined/Inference/LifterSpec.hs b/test/Language/Cimple/Analysis/Refined/Inference/LifterSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/Inference/LifterSpec.hs
@@ -0,0 +1,71 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Refined.Inference.LifterSpec (spec) where
+
+import           Control.Monad.State.Strict                        (runState)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Word                                         (Word32)
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.Refined.Inference.Lifter
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.Types
+import qualified Language.Cimple.Analysis.TypeSystem               as TS
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.Refined.Inference.Lifter" $ do
+    let emptyTS = Map.empty :: TS.TypeSystem
+    let st0 = emptyTranslatorState emptyTS
+
+    describe "liftImplicitPolymorphism" $ do
+        it "identifies implicit parameters in structs" $ do
+            -- struct Box { void *data; };
+            -- void* data translates to a node containing a TIdParam PLocal ...
+            -- Lifter should find this and promote it.
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let member = Member (dummyL "data") 100
+            let boxDef = StructDef (dummyL "Box") [] [member]
+            let reg = Registry (Map.singleton "Box" boxDef)
+
+            let st = st0 { tsNodes = Map.insert 100 varNode (tsNodes st0) }
+            let (reg', st') = runState (liftImplicitPolymorphism reg) st
+
+            let mDef = Map.lookup "Box" (regDefinitions reg')
+            case mDef of
+                Just (StructDef _ params _) -> params `shouldContain` [(tidT, Invariant)]
+                _ -> expectationFailure "Expected Box to be a StructDef"
+
+            -- Should also register an existential form
+            Map.member "Box" (tsExistentials st') `shouldBe` True
+
+        it "handles nested implicit polymorphism" $ do
+            -- struct Inner { void *p; };
+            -- struct Outer { struct Inner inner; };
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let innerId = 100 :: Word32
+
+            let memberP = Member (dummyL "p") innerId
+            let innerDef = StructDef (dummyL "Inner") [] [memberP]
+
+            let innerNominal = AnyRigidNodeF (RObject (VNominal (dummyL (TIdName "Inner")) [innerId]) (Quals False))
+
+            let memberI = Member (dummyL "inner") (102 :: Word32)
+            let outerDef = StructDef (dummyL "Outer") [] [memberI]
+
+            let reg = Registry (Map.fromList [("Inner", innerDef), ("Outer", outerDef)])
+            let st = st0 { tsNodes = Map.fromList
+                [ (innerId, varNode)
+                , (102, innerNominal)
+                ] }
+
+            let (reg', _) = runState (liftImplicitPolymorphism reg) st
+
+            case Map.lookup "Outer" (regDefinitions reg') of
+                Just (StructDef _ params _) -> params `shouldContain` [(tidT, Invariant)]
+                _ -> expectationFailure "Expected Outer to be a StructDef with lifted parameter T"
+
+dummyL :: t -> C.Lexeme t
+dummyL = C.L (C.AlexPn 0 0 0) C.IdSueType
diff --git a/test/Language/Cimple/Analysis/Refined/Inference/SubstitutionSpec.hs b/test/Language/Cimple/Analysis/Refined/Inference/SubstitutionSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/Inference/SubstitutionSpec.hs
@@ -0,0 +1,134 @@
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Refined.Inference.SubstitutionSpec (spec) where
+
+import           Control.Monad.State.Strict                              (get,
+                                                                          modify,
+                                                                          runState)
+import qualified Data.Map.Strict                                         as Map
+import qualified Data.Set                                                as Set
+import           Data.Word                                               (Word32)
+import qualified Language.Cimple                                         as C
+import           Language.Cimple.Analysis.Refined.Inference.Substitution
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Types
+import qualified Language.Cimple.Analysis.TypeSystem                     as TS
+import           Test.Hspec
+import           Test.QuickCheck
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.Refined.Inference.Substitution" $ do
+    let emptyTS = Map.empty :: TS.TypeSystem
+    let st0 = emptyTranslatorState emptyTS
+
+    describe "substitute" $ do
+        it "is identity for built-in types" $ do
+            let (res, _) = runState (substitute (const $ return Nothing) 1) st0
+            res `shouldBe` 1
+
+        it "replaces a variable with its mapped node" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let st = st0 { tsNodes = Map.insert 100 varNode (tsNodes st0) }
+            let lookupFunc tid | tid == tidT = return (Just 200)
+                               | otherwise = return Nothing
+            let (res, _) = runState (substitute lookupFunc 100) st
+            res `shouldBe` 200
+
+        it "terminates on recursive types (memoization)" $ do
+            -- Node 100: struct List { struct List *next; }
+            -- Simplified for substitution test: Node 100 = Ptr(100)
+            let ptrNode = AnyRigidNodeF (RReference (Ptr (TargetObject 100)) QUnspecified QNonOwned' (Quals False))
+            let st = st0 { tsNodes = Map.insert 100 ptrNode (tsNodes st0) }
+            let (res, _) = runState (substitute (const $ return Nothing) 100) st
+            res `shouldBe` 100
+
+    describe "collectRefinableVars" $ do
+        it "collects variables from a simple object" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let st = st0 { tsNodes = Map.insert 100 varNode (tsNodes st0) }
+            let (vars, _) = runState (collectRefinableVars 100) st
+            vars `shouldBe` Set.singleton tidT
+
+        it "collects variables from nested structures" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let tidU = TIdParam PLocal 11 (Just "U")
+            let varT = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let varU = AnyRigidNodeF (RObject (VVar tidU Nothing) (Quals False))
+            let nominalNode = AnyRigidNodeF (RObject (VNominal (dummyL (TIdName "Pair")) [101, 102]) (Quals False))
+            let st = st0 { tsNodes = Map.fromList [(0, AnyRigidNodeF (RTerminal SBottom)), (1, AnyRigidNodeF (RTerminal SAny)), (2, AnyRigidNodeF (RTerminal SConflict)), (101, varT), (102, varU), (103, nominalNode)] }
+            let (vars, _) = runState (collectRefinableVars 103) st
+            vars `shouldBe` Set.fromList [tidT, tidU]
+
+        it "collects variables from a TargetFunction" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varT = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let funcNode = AnyRigidNodeF (RReference (Ptr (TargetFunction [100] RetVoid)) QUnspecified QNonOwned' (Quals False))
+            let st = st0 { tsNodes = Map.fromList [(0, AnyRigidNodeF (RTerminal SBottom)), (1, AnyRigidNodeF (RTerminal SAny)), (2, AnyRigidNodeF (RTerminal SConflict)), (100, varT), (101, funcNode)] }
+            let (vars, _) = runState (collectRefinableVars 101) st
+            vars `shouldBe` Set.singleton tidT
+
+    describe "refreshInstance" $ do
+        it "creates fresh variables for refinable parameters" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let st = st0 { tsNodes = Map.insert 100 varNode (tsNodes st0) }
+            let (nid', st') = runState (refreshInstance 100) st
+            nid' `shouldNotBe` 100
+            case Map.lookup nid' (tsNodes st') of
+                Just (AnyRigidNodeF (RObject (VVar tid' _) _)) ->
+                    tid' `shouldSatisfy` \case { TIdInstance _ -> True; _ -> False }
+                _ -> expectationFailure "Expected nid' to be a VVar"
+
+        it "freshens bound variables in an existential" $ do
+            -- exists T. T
+            let db0 = TIdDeBruijn 0
+                bodyId = 100
+                existId = 101
+                bodyNode = AnyRigidNodeF (RObject (VVar db0 Nothing) (Quals False))
+                existNode = AnyRigidNodeF (RObject (VExistential [db0] bodyId) (Quals False))
+                st = st0 { tsNodes = Map.fromList [(bodyId, bodyNode), (existId, existNode)] }
+
+            let (nid', st') = runState (refreshInstance existId) st
+
+            -- nid' should be a fresh instance variable
+            nid' `shouldNotBe` existId
+            case Map.lookup nid' (tsNodes st') of
+                Just (AnyRigidNodeF (RObject (VVar (TIdInstance _) _) _)) -> return ()
+                _ -> expectationFailure $ "Expected fresh instance variable, got " ++ show (Map.lookup nid' (tsNodes st'))
+
+    describe "refreshSignature" $ do
+        it "preserves structural links by using the same skolem hash" $ do
+            -- sig: f(T, T) -> T
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let varNode = AnyRigidNodeF (RObject (VVar tidT Nothing) (Quals False))
+            let st = st0 { tsNodes = Map.insert 100 varNode (tsNodes st0) }
+            let ((params', ret, _), _) = runState (refreshSignature [100, 100] (RetVal 100)) st
+            case ret of
+                RetVal ret' -> do
+                    params' !! 0 `shouldBe` params' !! 1
+                    params' !! 0 `shouldBe` ret'
+                _ -> expectationFailure "Expected RetVal"
+
+    describe "substitutePtrTarget" $ do
+        it "substitutes opaque targets when refinable" $ do
+            let tidT = TIdParam PLocal 10 (Just "T")
+            let target = TargetOpaque tidT
+            let lookupFunc tid | tid == tidT = return (Just 200)
+                               | otherwise = return Nothing
+            let (res, _) = runState (substitutePtrTarget lookupFunc target) st0
+            case res of
+                TargetObject 200 -> return ()
+                _ -> expectationFailure $ "Expected TargetObject 200, got " ++ show res
+
+        it "preserves opaque targets when not refinable" $ do
+            let tidT = TIdName "Tox_Core"
+            let target = TargetOpaque tidT
+            let lookupFunc _ = return (Just 200)
+            let (res, _) = runState (substitutePtrTarget lookupFunc target) st0
+            res `shouldBe` target
+
+dummyL :: t -> C.Lexeme t
+dummyL = C.L (C.AlexPn 0 0 0) C.IdSueType
diff --git a/test/Language/Cimple/Analysis/Refined/Inference/TranslatorSpec.hs b/test/Language/Cimple/Analysis/Refined/Inference/TranslatorSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/Inference/TranslatorSpec.hs
@@ -0,0 +1,89 @@
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.Refined.Inference.TranslatorSpec (spec) where
+
+import           Control.Monad.State.Strict                            (runState)
+import           Data.Fix                                              (Fix (..))
+import qualified Data.Map.Strict                                       as Map
+import qualified Data.Set                                              as Set
+import           Data.Word                                             (Word32)
+import qualified Language.Cimple                                       as C
+import           Language.Cimple.Analysis.Refined.Inference.Translator
+import           Language.Cimple.Analysis.Refined.Inference.Types
+import           Language.Cimple.Analysis.Refined.Types
+import qualified Language.Cimple.Analysis.TypeSystem                   as TS
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.Refined.Inference.Translator" $ do
+    let emptyTS = Map.empty :: TS.TypeSystem
+    let st0 = emptyTranslatorState emptyTS
+
+    describe "translateStdType" $ do
+        it "maps BoolTy correctly" $ do
+            translateStdType TS.BoolTy `shouldBe` Just BoolTy
+        it "maps VoidTy to Nothing" $ do
+            translateStdType TS.VoidTy `shouldBe` Nothing
+
+    describe "translateType" $ do
+        it "translates int32_t to VBuiltin S32Ty" $ do
+            let ty = TS.builtin (dummyL "int32_t")
+            let (nid, st) = runState (translateType ty) st0
+            Map.lookup nid (tsNodes st) `shouldBe` Just (AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False)))
+
+        it "translates pointer types" $ do
+            let ty = TS.Pointer (TS.builtin (dummyL "int32_t"))
+            let (nid, st) = runState (translateType ty) st0
+            case Map.lookup nid (tsNodes st) of
+                Just (AnyRigidNodeF (RReference (Ptr (TargetObject innerId)) _ _ _)) ->
+                    Map.lookup (innerId :: Word32) (tsNodes st) `shouldBe` Just (AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False)))
+                _ -> expectationFailure "Expected nid to be a pointer to int32_t"
+
+        it "handles void* by creating a fresh template parameter" $ do
+            let ty = TS.Pointer (TS.builtin (dummyL "void"))
+            let (nid1, st1) = runState (translateType ty) st0
+            let (nid2, _) = runState (translateType ty) st1
+            nid1 `shouldNotBe` nid2
+
+        it "preserves const qualifiers" $ do
+            let ty = TS.Const (TS.builtin (dummyL "int32_t"))
+            let (nid, st) = runState (translateType ty) st0
+            Map.lookup nid (tsNodes st) `shouldBe` Just (AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals True)))
+
+        it "handles nested pointers (Recursive Translation)" $ do
+            let ty = TS.Pointer (TS.Pointer (TS.builtin (dummyL "int32_t")))
+            let (nid, st) = runState (translateType ty) st0
+            case Map.lookup nid (tsNodes st) of
+                Just (AnyRigidNodeF (RReference (Ptr (TargetObject p1)) _ _ _)) ->
+                    case Map.lookup p1 (tsNodes st) of
+                        Just (AnyRigidNodeF (RReference (Ptr (TargetObject p2)) _ _ _)) ->
+                            Map.lookup p2 (tsNodes st) `shouldBe` Just (AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False)))
+                        _ -> expectationFailure "Expected p1 to be a pointer"
+                _ -> expectationFailure "Expected nid to be a pointer"
+
+        it "returns an existential type for a nominal type if registered" $ do
+            let baseName = "My_Callback"
+            let ty = TS.TypeRef TS.StructRef (dummyL (TS.TIdName baseName)) []
+            let existId = 100
+            let st = st0 { tsExistentials = Map.singleton baseName existId }
+            let (nid, _) = runState (translateType ty) st
+            nid `shouldBe` existId
+
+        it "returns an existential type for a nominal type with generic parameters" $ do
+            let baseName = "My_Callback"
+            let param = TS.Template (TS.TIdParam 0 Nothing) Nothing
+            let ty = TS.TypeRef TS.StructRef (dummyL (TS.TIdName baseName)) [param]
+            let existId = 100
+            let st = st0 { tsExistentials = Map.singleton baseName existId }
+            let (nid, _) = runState (translateType ty) st
+            nid `shouldBe` existId
+
+    describe "translateTemplateIdGlobal" $ do
+        it "maps TIdName" $ do
+            translateTemplateIdGlobal (TS.TIdName "foo") `shouldBe` TIdName "foo"
+        it "maps TIdParam" $ do
+            translateTemplateIdGlobal (TS.TIdParam 5 (Just "T")) `shouldBe` TIdParam PGlobal 5 (Just "T")
+
+dummyL :: t -> C.Lexeme t
+dummyL = C.L (C.AlexPn 0 0 0) C.IdSueType
diff --git a/test/Language/Cimple/Analysis/Refined/InferenceSpec.hs b/test/Language/Cimple/Analysis/Refined/InferenceSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/InferenceSpec.hs
@@ -0,0 +1,712 @@
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.Refined.InferenceSpec (spec) where
+
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import           GHC.Stack                                         (HasCallStack)
+import           Language.Cimple.Analysis.GlobalStructuralAnalysis (garTypeSystem,
+                                                                    runGlobalStructuralAnalysis)
+import           Language.Cimple.Analysis.Refined.Inference        (inferRefined,
+                                                                    rrErrors)
+import           Language.Cimple.Hic.InferenceSpec                 (mustParse)
+import           Language.Cimple.Hic.Program                       (fromCimple)
+import           Test.Hspec
+
+shouldHaveRefinedError :: HasCallStack => [Text] -> [Text] -> Expectation
+shouldHaveRefinedError input expectedErrors = do
+    prog <- mustParse input
+    let globalAnalysis = runGlobalStructuralAnalysis prog
+    let hicProgram = fromCimple prog
+    let refinedResult = inferRefined (garTypeSystem globalAnalysis) hicProgram
+    rrErrors refinedResult `shouldBe` expectedErrors
+
+shouldHaveNoRefinedErrors :: HasCallStack => [Text] -> Expectation
+shouldHaveNoRefinedErrors input = shouldHaveRefinedError input []
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.Refined.Inference" $ do
+    describe "Basic type checking" $ do
+        it "allows assigning matching pointer types (Section 1.A)" $ do
+            shouldHaveNoRefinedErrors
+                [ "void f() {"
+                , "    int32_t i;"
+                , "    int32_t *p;"
+                , "    p = &i;"
+                , "}"
+                ]
+
+        it "reports refined type mismatch for incompatible pointers (Section 1.A)" $ do
+            shouldHaveRefinedError
+                [ "void f() {"
+                , "    int32_t i;"
+                , "    float f;"
+                , "    int32_t *pi = &i;"
+                , "    float *pf = &f;"
+                , "    pf = (float *)pi;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "reports error for nominal arity mismatch between structs (Section 2.B)" $ do
+            shouldHaveRefinedError
+                [ "struct Small { int32_t a; };"
+                , "struct Large { int32_t a; int32_t b; };"
+                , "void test(struct Small *s) {"
+                , "    struct Large *l = (struct Large *)s;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "enforces nominal identity: same fields, different names (Section 1.A)" $ do
+            -- Hic enforces strict nominal identity. Even if two structs have the same
+            -- fields, they are incompatible if their names differ.
+            shouldHaveRefinedError
+                [ "struct Alpha { int32_t x; };"
+                , "struct Beta { int32_t x; };"
+                , "void test(struct Alpha *a) {"
+                , "    struct Beta *b = (struct Beta *)a;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "forbids arity modification: treating a large struct as a smaller one (Section 2.B)" $ do
+            -- This is the "Base/Derived" pattern often used in C but forbidden in Hic.
+            shouldHaveRefinedError
+                [ "struct Base { int32_t type; };"
+                , "struct Derived { int32_t type; float value; };"
+                , "void test(struct Derived *d) {"
+                , "    struct Base *b = (struct Base *)d; // Error: arity mismatch"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Function calls" $ do
+        it "reports error for function parameter mismatch (Section 1.A)" $ do
+            shouldHaveRefinedError
+                [ "void print_float(float *pf) { return; }"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    int32_t *pi = &i;"
+                , "    print_float((float *)pi);"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "void* handling" $ do
+        it "reports error when void* is used to smuggle wrong type (Section 1.B)" $ do
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t i;"
+                , "    void *p = &i;"
+                , "    float *pf = p;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "supports recursive indirection of void* (Section 1.B)" $ do
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t i;"
+                , "    int32_t *pi = &i;"
+                , "    void **pp = &pi;"
+                , "    float **ppf = (float **)pp; // Error: T** cannot be unified with float**"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "supports isolated use of void* for different types in different calls (Call-Site Refresh - Section 5.A)" $ do
+            shouldHaveNoRefinedErrors
+                [ "void *malloc(size_t size);"
+                , "void test() {"
+                , "    int32_t *pi = (int32_t *)malloc(4);"
+                , "    float *pf = (float *)malloc(4);"
+                , "}"
+                ]
+
+        it "Issue 2: supports isolated use of void* for different types in different calls (Call-Site Refresh - Section 5.A)" $ do
+            -- If void* uses a global T node, these two calls will conflict.
+            shouldHaveNoRefinedErrors
+                [ "void f(void *p);"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    float f_val;"
+                , "    f(&i);"
+                , "    f(&f_val);"
+                , "}"
+                ]
+
+        it "Issue 3: reports error when assigning a symbolic size property to a concrete integer type (Section 10.B)" $ do
+            -- This verifies that VProperty (Algebraic Property) does not unify with VBuiltin (Physical Integer).
+            shouldHaveRefinedError
+                [ "void test(void *p) {"
+                , "    int32_t sz = sizeof(*p);"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Pointers and Qualifiers" $ do
+        it "Issue 4: infers non-null for address-of operator (Section 1.B)" $ do
+            -- &i is always non-null. It should be safe to pass to a non-null parameter.
+            shouldHaveNoRefinedErrors
+                [ "void take_nonnull(int32_t * _Nonnull p);"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    take_nonnull(&i);"
+                , "}"
+                ]
+
+        it "allows casting away const from a mutable stack variable (Syntactic Refinement - Section 1.F)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            -- Hic allows this because the underlying memory (i) is actually mutable.
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    int32_t i = 10;"
+                , "    const int32_t *p = &i;"
+                , "    int32_t *q = (int32_t *)p;"
+                , "    *q = 20;"
+                , "}"
+                ]
+
+        it "allows passing a mutable pointer to a const parameter (Subtyping - Section 1.F)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void f(const int32_t *p);"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    int32_t *p = &i;"
+                , "    f(p);"
+                , "}"
+                ]
+
+        it "reports error when attempting to refine a physically constant literal (Physical Stability - Section 12.C.5)" $ do
+            -- pendingWith "implementation currently exempts literals from physical constancy check"
+            -- Literals (like nullptr) are physically const and cannot be refined to mutable.
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t *p = (int32_t *)nullptr;"
+                , "    *p = 10;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Existential Inference and Structural Links" $ do
+        it "Issue 5: enforces consistency between callback and userdata (Structural Link - Section 4.A)" $ do
+            shouldHaveRefinedError
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback {"
+                , "    callback_cb *cb;"
+                , "    void *userdata;"
+                , "};"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test() {"
+                , "    float f = 1.0f;"
+                , "    struct My_Callback m;"
+                , "    m.cb = (callback_cb *)handle_int;"
+                , "    m.userdata = &f;"
+                , "    m.cb(m.userdata); // Trigger discovery"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "allows valid structural links (Section 4.A)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback {"
+                , "    callback_cb *cb;"
+                , "    void *userdata;"
+                , "};"
+                , "void handle_int(int32_t *pi) { *pi = 0; }"
+                , "void test() {"
+                , "    int32_t i = 10;"
+                , "    struct My_Callback m;"
+                , "    m.cb = (callback_cb *)handle_int;"
+                , "    m.userdata = &i;"
+                , "    m.cb(m.userdata);"
+                , "}"
+                ]
+
+    describe "Pointer Arithmetic and Arrays" $ do
+        it "forbids pointer arithmetic on raw pointers (Section 2.D)" $ do
+            pendingWith "pointer arithmetic checks not implemented in solver"
+            shouldHaveRefinedError
+                [ "void test(int32_t *p) {"
+                , "    ++p;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "forbids pointer subtraction (Section 2.H)" $ do
+            pendingWith "pointer subtraction checks not implemented in solver"
+            shouldHaveRefinedError
+                [ "void test(int32_t *p1, int32_t *p2) {"
+                , "    int64_t d = p1 - p2;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Recursive Refresh" $ do
+        it "supports isolated use of void* in struct fields for different instances (Section 5.C)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "struct Box { void *data; };"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    float f;"
+                , "    struct Box b1;"
+                , "    struct Box b2;"
+                , "    b1.data = &i;"
+                , "    b2.data = &f;"
+                , "}"
+                ]
+
+        it "supports isolated use of void* in multiple fields of the same struct (Section 1.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            -- Section 1.B: Every void* is a FRESH template parameter.
+            -- struct Duo is lifted to Duo<T1, T2>, allowing independent types.
+            shouldHaveNoRefinedErrors
+                [ "struct Duo { void *left; void *right; };"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    float f;"
+                , "    struct Duo d;"
+                , "    d.left = &i;"
+                , "    d.right = &f;"
+                , "}"
+                ]
+
+        it "reports error when sharing a polymorphic variable incorrectly within an instance (Section 5.D)" $ do
+            -- In this case, both cb and userdata use the same T (syntactically void*).
+            -- The solver should enforce consistency between them.
+            shouldHaveRefinedError
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct Entry { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test() {"
+                , "    float f;"
+                , "    struct Entry e;"
+                , "    e.cb = (callback_cb *)handle_int;"
+                , "    e.userdata = &f;"
+                , "    e.cb(e.userdata); // Trigger discovery"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Nested Structures and Substitution" $ do
+        it "supports structural links through nested struct access (Section 6.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "struct Wrapper { struct My_Callback inner; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    struct Wrapper w;"
+                , "    w.inner.cb = (callback_cb *)handle_int;"
+                , "    w.inner.userdata = &i;"
+                , "    w.inner.cb(w.inner.userdata);"
+                , "}"
+                ]
+
+        it "supports structural links through pointer-to-struct access (Section 6.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test(struct My_Callback *p) {"
+                , "    int32_t i;"
+                , "    p->cb = (callback_cb *)handle_int;"
+                , "    p->userdata = &i;"
+                , "    p->cb(p->userdata);"
+                , "}"
+                ]
+
+        it "reports error when structural link is broken through a pointer (Section 6.B)" $ do
+            shouldHaveRefinedError
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test(struct My_Callback *p) {"
+                , "    float f;"
+                , "    p->cb = (callback_cb *)handle_int;"
+                , "    p->userdata = &f;"
+                , "    p->cb(p->userdata); // Trigger discovery"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Polymorphic Returns and Chains" $ do
+        it "supports returning a polymorphic struct instance (Section 6.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "struct Box { void *data; };"
+                , "struct Box make_int_box(int32_t *pi) {"
+                , "    struct Box b;"
+                , "    b.data = pi;"
+                , "    return b;"
+                , "}"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    struct Box b = make_int_box(&i);"
+                , "    int32_t *p = b.data;"
+                , "}"
+                ]
+
+        it "reports error when return value violates instance consistency (Section 6.B)" $ do
+            -- pendingWith "not working yet"
+            shouldHaveRefinedError
+                [ "struct Box { void *data; };"
+                , "struct Box make_int_box(int32_t *pi) {"
+                , "    struct Box b;"
+                , "    b.data = pi;"
+                , "    return b;"
+                , "}"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    struct Box b = make_int_box(&i);"
+                , "    float *p = b.data;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Tagged Unions" $ do
+        it "prevents accessing wrong variant in match (Section 1.C)" $ do
+            shouldHaveRefinedError
+                [ "typedef enum Tag { TAG_I, TAG_F } Tag;"
+                , "typedef union Data { int32_t i; float f; } Data;"
+                , "typedef struct Container { Tag tag; Data d; } Container;"
+                , "void test(Container *c) {"
+                , "  switch (c->tag) {"
+                , "    case TAG_I: {"
+                , "      c->d.f = 1.0f; // Error: expected int in this branch"
+                , "      break;"
+                , "    }"
+                , "  }"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "forbids post-initialization variant mutation (Section 2.C)" $ do
+            pendingWith "tagged union mutation check not implemented"
+            shouldHaveRefinedError
+                [ "typedef enum Tag { TAG_I, TAG_F } Tag;"
+                , "typedef union Data { int32_t i; float f; } Data;"
+                , "typedef struct Container { Tag tag; Data d; } Container;"
+                , "void test(Container *c) {"
+                , "  c->tag = TAG_F; // Error: variants are immutable after construction"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Regression Tests for Architectural Flaws" $ do
+        it "ensures function parameters are isolated across calls but respect internal constraints (Section 1.A & 5.A)" $ do
+            -- pendingWith "fresh variable generation is currently causing incorrect structural links"
+            -- Section 1.A: No Pointer Type Punning. Even though calls are isolated (5.A),
+            -- the internal cast in f() fixes the parameter type to int32_t*.
+            -- Passing a float* from the caller is a structural truth violation.
+            shouldHaveRefinedError
+                [ "void f(void *p) {"
+                , "    int32_t *pi = (int32_t *)p;"
+                , "}"
+                , "void test() {"
+                , "    float f_val = 1.0f;"
+                , "    f(&f_val);"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "requires explicit casts for mismatched integer sizes (Strict Integer Types - Section 1.E)" $ do
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int64_t x = 0;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "correctly isolates unrelated uses of global template names (Section 5.A)" $ do
+            pendingWith "unrelated uses of global templates are not yet isolated"
+            shouldHaveNoRefinedErrors
+                [ "void f1(void *p1) {"
+                , "    int32_t *pi = (int32_t *)p1;"
+                , "}"
+                , "void f2(void *p2) {"
+                , "    float *pf = (float *)p2;"
+                , "}"
+                ]
+
+        it "enforces size consistency in hardened polymorphic functions (Section 10.C)" $ do
+            -- Mocking a hardened qsort-like signature
+            shouldHaveRefinedError
+                [ "void my_qsort(void *base, uint64_t nmemb, uint64_t size);"
+                , "void test(int32_t *pi) {"
+                , "    my_qsort(pi, 10, sizeof(float)); // Error: sizeof(float) != sizeof(int32_t)"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "Issue 1: forbids using integer 0 as a null pointer constant (Section 2.A)" $ do
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t *pi = 0;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "supports isolated use of nullptr for different pointer types (Section 1.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    int32_t *pi = nullptr;"
+                , "    float *pf = nullptr;"
+                , "}"
+                ]
+
+        it "implements indirection collapse: reference to Bottom is Bottom (Section 12.C.2)" $ do
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t **pp = &nullptr;"
+                , "    int32_t *p = *pp; // Error: dereferencing a pointer to Bottom"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "handles infinite recursion in self-referential function pointers (Section 12.B)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "typedef void loop_cb(loop_cb *f);"
+                , "void test(loop_cb *f) {"
+                , "    return;"
+                , "}"
+                ]
+
+        it "handles deep implicit polymorphism via deep lifting (Section 5.C)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "struct Inner {"
+                , "    void *p;"
+                , "};"
+                , "struct Outer {"
+                , "    struct Inner inner;"
+                , "};"
+                , "void test() {"
+                , "    int32_t i = 0;"
+                , "    float f_val = 1.0f;"
+                , "    struct Outer o1;"
+                , "    struct Outer o2;"
+                , "    o1.inner.p = &i;"
+                , "    o2.inner.p = &f_val;"
+                , "}"
+                ]
+
+        it "enforces member access refinements are persistent (Section 1.D)" $ do
+            shouldHaveRefinedError
+                [ "struct Inner { void *p; };"
+                , "void test(struct Inner i) {"
+                , "    int32_t *pi = (int32_t *)i.p;"
+                , "    float *pf = (float *)i.p;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "freezes structural refinements after initialization scope (Section 1.D)" $ do
+            pendingWith "initialization scope freezing not implemented"
+            shouldHaveRefinedError
+                [ "struct Box { void *data; };"
+                , "void test() {"
+                , "    struct Box b;"
+                , "    { "
+                , "        int32_t i = 0;"
+                , "        b.data = &i;"
+                , "    }"
+                , "    // b.data escaped its initialization block. Its type is now frozen as int32_t*."
+                , "    float *pf = (float *)b.data; // Error: frozen as int32_t*"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "implements the Escape Rule: contamination via external functions (Section 7.A)" $ do
+            pendingWith "Escape Rule (contamination logic) not yet implemented"
+            shouldHaveRefinedError
+                [ "struct Inner { void *p; };"
+                , "void external_escape(void *i);"
+                , "void test() {"
+                , "    int32_t val;"
+                , "    struct Inner i;"
+                , "    i.p = &val; // Refined to int*"
+                , "    external_escape(&i); // ESCAPE: link contaminated"
+                , "    float *pf = (float *)i.p; // Error: still int* due to Single Structural Truth"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+    describe "Advanced Collections and Sizing" $ do
+        it "promotes elements to existential types in heterogeneous arrays (Section 4.A)" $ do
+            shouldHaveNoRefinedErrors
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void handle_float(float *pf) { return; }"
+                , "void test() {"
+                , "    int32_t i;"
+                , "    float f;"
+                , "    struct My_Callback cbs[2];"
+                , "    cbs[0].cb = (callback_cb *)handle_int;"
+                , "    cbs[0].userdata = &i;"
+                , "    cbs[1].cb = (callback_cb *)handle_float;"
+                , "    cbs[1].userdata = &f;"
+                , "    // Each index should preserve its own structural link"
+                , "    cbs[0].cb(cbs[0].userdata);"
+                , "    cbs[1].cb(cbs[1].userdata);"
+                , "}"
+                ]
+
+        it "reports error when an array element violates its internal structural link (Section 4.A)" $ do
+            shouldHaveRefinedError
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test() {"
+                , "    float f = 1.0f;"
+                , "    struct My_Callback cbs[1];"
+                , "    cbs[0].cb = (callback_cb *)handle_int;"
+                , "    cbs[0].userdata = &f;"
+                , "    cbs[0].cb(cbs[0].userdata); // Trigger discovery"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "supports structural links through nested existentials (Section 6.B)" $ do
+            shouldHaveNoRefinedErrors
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "struct Outer { struct My_Callback inner; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void test(struct Outer *o, int32_t *pi) {"
+                , "    o->inner.cb = (callback_cb *)handle_int;"
+                , "    o->inner.userdata = pi;"
+                , "    o->inner.cb(o->inner.userdata);"
+                , "}"
+                ]
+
+        it "reports error when passing userdata from one existential index to a callback from another (Section 12.B)" $ do
+            shouldHaveRefinedError
+                [ "typedef void callback_cb(void *userdata);"
+                , "struct My_Callback { callback_cb *cb; void *userdata; };"
+                , "void handle_int(int32_t *pi) { return; }"
+                , "void handle_float(float *pf) { return; }"
+                , "void test() {"
+                , "    int32_t i = 0;"
+                , "    float f = 1.0f;"
+                , "    struct My_Callback cbs[2];"
+                , "    cbs[0].cb = (callback_cb *)handle_int;"
+                , "    cbs[0].userdata = &i;"
+                , "    cbs[1].cb = (callback_cb *)handle_float;"
+                , "    cbs[1].userdata = &f;"
+                , "    // ERROR: cbs[0].userdata (int*) passed to cbs[1].cb (float*)"
+                , "    cbs[1].cb(cbs[0].userdata); "
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "verifies consistency of linear size expressions (Section 10.B)" $ do
+            -- pendingWith "VSizeExpr unification not fully implemented"
+            shouldHaveNoRefinedErrors
+                [ "void *my_malloc(uint64_t size);"
+                , "void test() {"
+                , "    int32_t *p = (int32_t *)my_malloc(2 * sizeof(int32_t));"
+                , "}"
+                ]
+
+        it "treats 'int' as 'int32_t' (Section 1.E)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    int i;"
+                , "    int32_t *p = &i;"
+                , "}"
+                ]
+
+        it "treats 'unsigned int' as 'uint32_t' (Section 1.E)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    unsigned int i;"
+                , "    uint32_t *p = &i;"
+                , "}"
+                ]
+
+        it "treats 'long' as 'int64_t' (Section 1.E)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    long i;"
+                , "    int64_t *p = &i;"
+                , "}"
+                ]
+
+        it "treats 'unsigned long' as 'uint64_t' (Section 1.E)" $ do
+            -- pendingWith "Refined type mismatch detected in fixpoint solver"
+            shouldHaveNoRefinedErrors
+                [ "void test() {"
+                , "    unsigned long i;"
+                , "    uint64_t *p = &i;"
+                , "}"
+                ]
+
+    describe "Formal Safety and Invariants" $ do
+        it "reports contradiction when non-null pointer is assigned nullptr (Section 12.C.1)" $ do
+            -- pendingWith "nullability contradiction check not implemented"
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    int32_t * _Nonnull p = nullptr;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "forbids refining physically const globals to mutable (Section 12.C.5)" $ do
+            pendingWith "physical qualifier immutability check not implemented"
+            shouldHaveRefinedError
+                [ "const int32_t global_val = 10;"
+                , "void test() {"
+                , "    int32_t *p = (int32_t *)&global_val;"
+                , "    *p = 20;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "forbids refining string literals to mutable (Section 12.C.5)" $ do
+            pendingWith "physical qualifier immutability check not implemented"
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    char *s = (char *)\"hello\";"
+                , "    *s = 'H';"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
+
+        it "permits whitelisted external functions to preserve structural links (Section 7.C)" $ do
+            pendingWith "whitelist not implemented yet"
+            shouldHaveNoRefinedErrors
+                [ "typedef int compare_cb(const void *a, const void *b);"
+                , "struct Inner { void *p; };"
+                , "extern void qsort(void *base, uint64_t nmemb, uint64_t size, compare_cb *compar);"
+                , "void test(struct Inner *i) {"
+                , "    int32_t val;"
+                , "    i->p = &val;"
+                , "    qsort(i, 1, sizeof(struct Inner), nullptr);"
+                , "    int32_t *pi = (int32_t *)i->p;"
+                , "}"
+                ]
+
+        it "forbids non-homogeneous size arithmetic (Section 10.B)" $ do
+            pendingWith "size arithmetic checks not implemented"
+            -- Adding a constant to a type property is forbidden.
+            shouldHaveRefinedError
+                [ "void test() {"
+                , "    uint64_t sz = sizeof(int32_t) + 1;"
+                , "}"
+                ]
+                ["Refined type mismatch detected in fixpoint solver"]
diff --git a/test/Language/Cimple/Analysis/Refined/LatticeOpSpec.hs b/test/Language/Cimple/Analysis/Refined/LatticeOpSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/LatticeOpSpec.hs
@@ -0,0 +1,38 @@
+{-# LANGUAGE OverloadedStrings #-}
+
+module Language.Cimple.Analysis.Refined.LatticeOpSpec (spec) where
+
+import           Language.Cimple.Analysis.Refined.Arbitrary ()
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Test.Hspec
+import           Test.Hspec.QuickCheck                      (prop)
+
+spec :: Spec
+spec = do
+    describe "applyVariance" $ do
+        it "preserves polarity for Covariant" $ do
+            applyVariance Covariant PJoin `shouldBe` PJoin
+            applyVariance Covariant PMeet `shouldBe` PMeet
+
+        it "flips polarity for Contravariant" $ do
+            applyVariance Contravariant PJoin `shouldBe` PMeet
+            applyVariance Contravariant PMeet `shouldBe` PJoin
+
+        it "returns PMeet for Invariant in both phases" $ do
+            applyVariance Invariant PMeet `shouldBe` PMeet
+            applyVariance Invariant PJoin `shouldBe` PMeet
+
+        prop "applying Covariant is identity" $ \p ->
+            applyVariance Covariant p == p
+
+        prop "applying Contravariant is flipPol" $ \p ->
+            applyVariance Contravariant p == flipPol p
+
+    describe "flipPol" $ do
+        it "flips PJoin to PMeet" $ do
+            flipPol PJoin `shouldBe` PMeet
+        it "flips PMeet to PJoin" $ do
+            flipPol PMeet `shouldBe` PJoin
+
+        prop "flipPol is its own inverse" $ \p ->
+            flipPol (flipPol p) == p
diff --git a/test/Language/Cimple/Analysis/Refined/PathContextSpec.hs b/test/Language/Cimple/Analysis/Refined/PathContextSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/PathContextSpec.hs
@@ -0,0 +1,45 @@
+{-# LANGUAGE OverloadedStrings #-}
+
+module Language.Cimple.Analysis.Refined.PathContextSpec (spec) where
+
+import qualified Data.Map.Strict                              as Map
+import           Language.Cimple.Analysis.Refined.Arbitrary   ()
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Test.Hspec
+import           Test.Hspec.QuickCheck                        (prop)
+
+spec :: Spec
+spec = do
+    describe "SymbolicPath" $ do
+        it "can represent a local variable" $ do
+            let path = SymbolicPath (VarRoot "p") []
+            spRoot path `shouldBe` VarRoot "p"
+            spSteps path `shouldBe` []
+
+        it "can represent field access" $ do
+            let path = SymbolicPath (VarRoot "p") [FieldStep "tag"]
+            spSteps path `shouldBe` [FieldStep "tag"]
+
+        it "can represent nested access" $ do
+            let path = SymbolicPath (VarRoot "p") [FieldStep "data", FieldStep "i"]
+            spSteps path `shouldBe` [FieldStep "data", FieldStep "i"]
+
+    describe "extendPath" $ do
+        prop "increases length of steps by 1" $ \step path ->
+            length (spSteps (extendPath step path)) == length (spSteps path) + 1
+
+        prop "last step matches the added step" $ \step path ->
+            last (spSteps (extendPath step path)) == step
+
+    describe "simplifyPath" $ do
+        it "follows a simple alias" $ do
+            let aliases = Map.singleton "m2" (SymbolicPath (VarRoot "m1") [])
+                path = SymbolicPath (VarRoot "m2") [FieldStep "f"]
+            simplifyPath aliases path `shouldBe` SymbolicPath (VarRoot "m1") [FieldStep "f"]
+
+        it "prepends steps from alias" $ do
+            let aliases = Map.singleton "p" (SymbolicPath (VarRoot "obj") [FieldStep "ptr"])
+                path = SymbolicPath (VarRoot "p") [FieldStep "val"]
+            simplifyPath aliases path `shouldBe` SymbolicPath (VarRoot "obj") [FieldStep "ptr", FieldStep "val"]
+
+
diff --git a/test/Language/Cimple/Analysis/Refined/SemanticEqualitySpec.hs b/test/Language/Cimple/Analysis/Refined/SemanticEqualitySpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/SemanticEqualitySpec.hs
@@ -0,0 +1,44 @@
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TypeApplications    #-}
+
+module Language.Cimple.Analysis.Refined.SemanticEqualitySpec (spec) where
+
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.Refined.Arbitrary        ()
+import           Language.Cimple.Analysis.Refined.Context          (emptyContext,
+                                                                    emptyRefinements)
+import           Language.Cimple.Analysis.Refined.LatticeOp        (Polarity (..))
+import           Language.Cimple.Analysis.Refined.SemanticEquality
+import           Language.Cimple.Analysis.Refined.State
+import           Language.Cimple.Analysis.Refined.Types
+import           Test.Hspec
+import           Test.Hspec.QuickCheck                             (prop)
+
+spec :: Spec
+spec = do
+    describe "semEqStep" $ do
+        it "matches a builtin type" $ do
+            let ps = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                orig = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+            semEqStep @TemplateId ps psNodeL orig `shouldBe` True
+
+        it "matches a linear expression with different order" $ do
+            let ps = AnyRigidNodeF (RObject (VSizeExpr [(ProductState 2 3 PJoin False emptyContext 0 0 Nothing, 1), (ProductState 4 5 PJoin False emptyContext 0 0 Nothing, 2)]) (Quals False))
+                orig = AnyRigidNodeF (RObject (VSizeExpr [(4, 2), (2, 1)]) (Quals False))
+            semEqStep @TemplateId ps psNodeL orig `shouldBe` True
+
+    describe "VNominal structural similarity" $ do
+        it "matches VNominal nodes with different parameters if selector maps them to same originals" $ do
+            let ps = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) [ProductState 10 11 PJoin False emptyContext 0 0 Nothing]) (Quals False))
+                orig = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) [10]) (Quals False))
+            semEqStep @TemplateId ps psNodeL orig `shouldBe` True
+
+    describe "semEqResult" $ do
+        prop "is reflexive (canonicalized)" $ \(node :: AnyRigidNodeF TemplateId ProductState) ->
+            semEqResult node node
+
+dummyL' :: t -> C.Lexeme t
+dummyL' = C.L (C.AlexPn 0 0 0) C.IdSueType
diff --git a/test/Language/Cimple/Analysis/Refined/TransitionSpec.hs b/test/Language/Cimple/Analysis/Refined/TransitionSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/Refined/TransitionSpec.hs
@@ -0,0 +1,783 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE GADTs               #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TypeApplications    #-}
+
+module Language.Cimple.Analysis.Refined.TransitionSpec (spec) where
+
+import           Data.Bifunctor                                    (first)
+import qualified Data.IntMap.Strict                                as IntMap
+import qualified Data.List                                         as List
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Word                                         (Word32)
+import           Language.Cimple                                   (AlexPosn (..),
+                                                                    Lexeme (..),
+                                                                    LexemeClass (..))
+import           Language.Cimple.Analysis.Refined.Arbitrary        (dummyL)
+import           Language.Cimple.Analysis.Refined.Context
+import           Language.Cimple.Analysis.Refined.LatticeOp
+import           Language.Cimple.Analysis.Refined.PathContext
+import           Language.Cimple.Analysis.Refined.Registry
+import           Language.Cimple.Analysis.Refined.SemanticEquality
+import           Language.Cimple.Analysis.Refined.State
+import           Language.Cimple.Analysis.Refined.Transition       (TransitionEnv (..),
+                                                                    isBot,
+                                                                    isNonnull,
+                                                                    isRefinable,
+                                                                    isTop, step,
+                                                                    variableKey)
+import           Language.Cimple.Analysis.Refined.Types
+import           Test.Hspec
+import           Test.Hspec.QuickCheck                             (prop)
+import           Test.QuickCheck                                   (Gen, forAll,
+                                                                    shuffle,
+                                                                    (==>))
+
+spec :: Spec
+spec = do
+    let botID = 0
+        anyID = 1
+        conflictID = 2
+        i32ID = 3
+        i32ConstID = 4
+        i32Lit0ID = 5
+        i32PtrID = 6
+        voidPtrID = 7
+        voidPtrSkolemID = 17
+        voidPtrConstID = 18
+        i32ArrID = 8
+        funcID = 9
+        nomID = 10
+        enumID = 11
+        varID = 12
+        existID = 13
+        pointTID = 113
+        variantID = 14
+        propID = 15
+        sizeExprID = 16
+        skolemVarID = 19
+        skolemVar1ID = 116
+        nonnullPtr0ID = 100
+        arrBotID = 101
+        callbackID = 102
+        callbackConstID = 103
+        alignPropID = 104
+        exist2ID = 105
+        pointConstID = 106
+        nullPtrTyID = 107
+        nonnullNullPtrID = 110
+        charID = 111
+        variant2ID = 112
+        funcRetID = 114
+        funcRetConstID = 115
+        sizeExprCharID = 117
+        charPropID = 118
+        f32ID = 120
+        myCallbackIntID = 121
+        myCallbackFloatID = 122
+        myCallbackTID = 123
+        myCallbackExistID = 124
+
+        dummyL' = L (AlexPn 0 0 0) IdSueType
+
+        nodes = Map.fromList
+            [ (botID, AnyRigidNodeF (RTerminal SBottom))
+            , (anyID, AnyRigidNodeF (RTerminal SAny))
+            , (conflictID, AnyRigidNodeF (RTerminal SConflict))
+            , (i32ID, AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False)))
+            , (f32ID, AnyRigidNodeF (RObject (VBuiltin F32Ty) (Quals False)))
+            , (i32ConstID, AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals True)))
+            , (i32Lit0ID, AnyRigidNodeF (RObject (VSingleton S32Ty 0) (Quals True)))
+            , (i32PtrID, AnyRigidNodeF (RReference (Ptr (TargetObject i32ID)) QUnspecified QNonOwned' (Quals False)))
+            , (voidPtrID, AnyRigidNodeF (RReference (Ptr (TargetOpaque (TIdName "T"))) QUnspecified QNonOwned' (Quals False)))
+            , (voidPtrSkolemID, AnyRigidNodeF (RReference (Ptr (TargetOpaque (TIdSkolem 752 752 2802))) QUnspecified QNonOwned' (Quals False)))
+            , (voidPtrConstID, AnyRigidNodeF (RReference (Ptr (TargetOpaque (TIdName "T"))) QUnspecified QNonOwned' (Quals True)))
+            , (i32ArrID, AnyRigidNodeF (RReference (Arr i32ID []) QUnspecified QNonOwned' (Quals False)))
+            , (funcID, AnyRigidNodeF (RFunction [i32ID] RetVoid))
+            , (nomID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) [i32ID, i32ID]) (Quals False)))
+            , (myCallbackIntID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "My_Callback")) [i32ID]) (Quals False)))
+            , (myCallbackFloatID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "My_Callback")) [f32ID]) (Quals False)))
+            , (myCallbackTID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "My_Callback")) [125]) (Quals False))) -- 125 is VVar TIdDeBruijn 0
+            , (myCallbackExistID, AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0] myCallbackTID) (Quals False)))
+            , (125, AnyRigidNodeF (RObject (VVar (TIdDeBruijn 0) Nothing) (Quals False)))
+            , (enumID, AnyRigidNodeF (RObject (VEnum (dummyL' (TIdName "Color"))) (Quals False)))
+            , (varID, AnyRigidNodeF (RObject (VVar (TIdName "T") Nothing) (Quals False)))
+            , (pointTID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) [skolemVarID, skolemVar1ID]) (Quals False)))
+            , (existID, AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0] pointTID) (Quals False)))
+            , (variantID, AnyRigidNodeF (RObject (VVariant (IntMap.fromList [(1, i32ID)])) (Quals False)))
+            , (propID, AnyRigidNodeF (RObject (VProperty i32ID PSize) (Quals True)))
+            , (sizeExprID, AnyRigidNodeF (RObject (VSizeExpr [(propID, 1)]) (Quals True)))
+            , (skolemVarID, AnyRigidNodeF (RObject (VVar (TIdDeBruijn 0) Nothing) (Quals False)))
+            , (skolemVar1ID, AnyRigidNodeF (RObject (VVar (TIdDeBruijn 1) Nothing) (Quals False)))
+            , (nonnullPtr0ID, AnyRigidNodeF (RReference (Ptr (TargetObject i32Lit0ID)) QNonnull' QNonOwned' (Quals False)))
+            , (arrBotID, AnyRigidNodeF (RReference (Arr botID []) QUnspecified QNonOwned' (Quals False)))
+            , (callbackID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Callback")) [i32ID]) (Quals False)))
+            , (callbackConstID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Callback")) [i32ConstID]) (Quals False)))
+            , (alignPropID, AnyRigidNodeF (RObject (VProperty i32ID PAlign) (Quals True)))
+            , (exist2ID, AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0, TIdDeBruijn 1] pointTID) (Quals False)))
+            , (pointConstID, AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) [i32ConstID, i32ConstID]) (Quals False)))
+            , (nullPtrTyID, AnyRigidNodeF (RObject (VBuiltin NullPtrTy) (Quals True)))
+            , (nonnullNullPtrID, AnyRigidNodeF (RReference (Ptr (TargetObject nullPtrTyID)) QNonnull' QNonOwned' (Quals False)))
+            , (charID, AnyRigidNodeF (RObject (VBuiltin S08Ty) (Quals False)))
+            , (variant2ID, AnyRigidNodeF (RObject (VVariant (IntMap.fromList [(2, i32ID)])) (Quals False)))
+            , (funcRetID, AnyRigidNodeF (RFunction [i32ID] (RetVal i32ID)))
+            , (funcRetConstID, AnyRigidNodeF (RFunction [i32ID] (RetVal i32ConstID)))
+            , (sizeExprCharID, AnyRigidNodeF (RObject (VSizeExpr [(charPropID, 1)]) (Quals True)))
+            , (charPropID, AnyRigidNodeF (RObject (VProperty charID PSize) (Quals True)))
+            ]
+
+        registry = Registry $ Map.fromList
+            [ ("Point", StructDef (dummyL' "Point") [(TIdParam PGlobal 0 Nothing, Covariant), (TIdParam PGlobal 1 Nothing, Covariant)] [])
+            , ("Callback", StructDef (dummyL' "Callback") [(TIdParam PGlobal 0 Nothing, Contravariant)] [])
+            , ("My_Callback", StructDef (dummyL' "My_Callback") [(TIdParam PGlobal 0 Nothing, Invariant)] [])
+            ]
+        pathCtx = PathContext Map.empty Map.empty
+
+        env pol = TransitionEnv nodes registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+
+    describe "isRefinable" $ do
+        it "is True for 'T'" $ isRefinable (TIdName "T") `shouldBe` True
+        it "is True for 'T1'" $ isRefinable (TIdName "T1") `shouldBe` True
+        it "is True for 'T2'" $ isRefinable (TIdName "T2") `shouldBe` True
+        it "is False for 'Tox_Core'" $ isRefinable (TIdName "Tox_Core") `shouldBe` False
+        it "is True for PGlobal parameters" $ isRefinable (TIdParam PGlobal 0 Nothing) `shouldBe` True
+
+    describe "step" $ do
+        context "PJoin (Generalization)" $ do
+            it "Bottom join X = X (Rigorous Identity)" $ do
+                let ps = ProductState botID i32ID PJoin False emptyContext 0 0 Nothing
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VBuiltin S32Ty) _) -> return ()
+                    _ -> expectationFailure $ "Expected i32 node, got " ++ show res
+
+            it "Nonnull meet Bottom = Conflict (Safety violation during Join)" $ do
+                -- Joining a Nonnull requirement with a Null state is a contradiction.
+                let ps = ProductState nonnullNullPtrID botID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Any join X = Any" $ do
+                let ps = ProductState anyID i32ID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SAny)
+
+            it "Conflict join X = Conflict (Poisoning)" $ do
+                let ps = ProductState conflictID i32ID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "i32 join i32 = i32" $ do
+                let ps = ProductState i32ID i32ID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! i32ID)
+
+            it "i32 join i32Const = i32Const (const)" $ do
+                let ps = ProductState i32ID i32ConstID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! i32ConstID)
+
+            it "i32Lit0 join i32 = i32Const (const)" $ do
+                let ps = ProductState i32Lit0ID i32ID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (const (ps { psNodeL = i32Lit0ID, psNodeR = i32ID })) (nodes Map.! i32ConstID)
+
+            it "i32* join i32* = i32*" $ do
+                let ps = ProductState i32PtrID i32PtrID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! i32PtrID)
+
+            it "void* join void* = void*" $ do
+                let ps = ProductState voidPtrID voidPtrID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! voidPtrID)
+
+            it "void* const join void* skolem = void* const" $ do
+                let ps = ProductState voidPtrConstID voidPtrSkolemID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (const (ps { psNodeL = voidPtrConstID, psNodeR = voidPtrSkolemID })) (nodes Map.! voidPtrConstID)
+
+            it "i32* join void* = void* (refined)" $ do
+                let ps = ProductState i32PtrID voidPtrID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe`
+                    AnyRigidNodeF (RReference (Ptr (TargetObject (ps { psNodeL = i32ID, psNodeR = i32ID }))) QUnspecified QNonOwned' (Quals False))
+
+            it "i32[] join i32[] = i32[]" $ do
+                let ps = ProductState i32ArrID i32ArrID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! i32ArrID)
+
+            it "func(i32) join func(i32) = func(i32) with contra-pol" $ do
+                let ps = ProductState funcID funcID PJoin False emptyContext 0 0 Nothing
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                res `shouldBe` AnyRigidNodeF (RFunction [ps { psNodeL = i32ID, psNodeR = i32ID, psPolarity = PMeet }] RetVoid)
+
+            it "Point join Point = Point" $ do
+                let ps = ProductState nomID nomID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! nomID)
+
+            it "Exist join Exist = Exist with new Gamma" $ do
+                let ps = ProductState existID existID PJoin False emptyContext 0 0 Nothing
+                let newGamma = pushMapping 0 emptyContext
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i, psGamma = newGamma, psDepthL = 1, psDepthR = 1 }) (nodes Map.! existID)
+
+            it "Variant(1:i32) join Variant(1:i32) = Variant(1:i32)" $ do
+                let ps = ProductState variantID variantID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! variantID)
+
+            it "sizeof(i32) join sizeof(i32) = sizeof(i32)" $ do
+                let ps = ProductState propID propID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! propID)
+
+            it "(1*i32) join (1*i32) = (1*i32)" $ do
+                let ps = ProductState sizeExprID sizeExprID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! sizeExprID)
+
+            it "Point<i32> join Point<i32Const> = Point<i32Const> (Covariance)" $ do
+                let ps = ProductState nomID pointConstID PJoin False emptyContext 0 0 Nothing
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VNominal _ [p1, p2]) _) -> do
+                        psNodeL p1 `shouldBe` i32ID
+                        psNodeR p1 `shouldBe` i32ConstID
+                        psNodeL p2 `shouldBe` i32ID
+                        psNodeR p2 `shouldBe` i32ConstID
+                    AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0, TIdDeBruijn 1] body) _) -> do
+                        psNodeL body `shouldBe` nomID
+                        psNodeR body `shouldBe` pointTID
+                    _ -> expectationFailure $ unlines
+                        [ "Expected Nominal or Existential, but got: " ++ show res
+                        , "  LHS (psNodeL): " ++ show nomID
+                        , "  RHS (psNodeR): " ++ show pointConstID
+                        ]
+
+            it "Callback<i32> join Callback<i32Const> = Callback<i32> (Contravariance)" $ do
+                let ps = ProductState callbackID callbackConstID PJoin False emptyContext 0 0 Nothing
+                -- Callback is contravariant, so we meet the parameters. i32 meet i32Const = i32.
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VNominal _ [p]) _) -> do
+                        psNodeL p `shouldBe` i32ID
+                        psNodeR p `shouldBe` i32ConstID
+                        psPolarity p `shouldBe` PMeet
+                    _ -> expectationFailure $ "Expected Nominal, got " ++ show res
+
+            it "My_Callback<i32> join My_Callback<f32> = Existential (Promotion)" $ do
+                let ps = ProductState myCallbackIntID myCallbackFloatID PJoin False emptyContext 0 0 Nothing
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0] body) _) -> do
+                        psNodeL body `shouldBe` myCallbackIntID
+                        psNodeR body `shouldBe` myCallbackTID
+                    _ -> expectationFailure $ "Expected Existential, got " ++ show res
+
+            it "refines a variable with multiple incompatible types via nominal join" $ do
+                let tid = TIdName "T1"
+                    nodeV = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    vID = 200
+                    te = (env PJoin) { teNodes = Map.insert vID nodeV (teNodes (env PJoin)) }
+
+                -- 1. Join My_Callback<i32> with Var
+                let ps1 = ProductState myCallbackIntID vID PJoin False emptyContext 0 0 Nothing
+                let (_, refs1) = step te ps1 emptyRefinements
+                -- Var should be refined to My_Callback<i32>
+                getRefinement (variableKey (teNodes te) 0 tid) refs1 `shouldBe` Just myCallbackIntID
+
+                -- 2. Join My_Callback<f32> with Var (which is now My_Callback<i32>)
+                let ps2 = ProductState myCallbackFloatID vID PJoin False emptyContext 0 0 Nothing
+                let (res2, _) = step te ps2 refs1
+                -- This should result in existential promotion!
+                case res2 of
+                    AnyRigidNodeF (RObject (VExistential _ _) _) -> return ()
+                    _ -> expectationFailure $ "Expected Existential, got " ++ show res2
+
+            it "sizeof(i32) join alignof(i32) = Top (Mismatch)" $ do
+                let ps = ProductState propID alignPropID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Exist(1) join Exist(2) = Top (Binder mismatch)" $ do
+                let ps = ProductState existID exist2ID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Function Return Covariance: PJoin(Ret i32, Ret i32Const) = Ret i32Const" $ do
+                let ps = ProductState funcRetID funcRetConstID PJoin False emptyContext 0 0 Nothing
+                let (res, _) = step (env PJoin) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RFunction _ (RetVal retPS)) -> do
+                        psNodeL retPS `shouldBe` i32ID
+                        psNodeR retPS `shouldBe` i32ConstID
+                        psPolarity retPS `shouldBe` PJoin
+                    _ -> expectationFailure $ "Expected RFunction with RetVal, got " ++ show res
+
+            it "SizeExpr Mismatch: PJoin(sizeof i32, alignof i32) = Top" $ do
+                let ps = ProductState propID alignPropID PJoin False emptyContext 0 0 Nothing
+                fst (step (env PJoin) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Refinement: refines a variable when joining with a concrete type (PJoin)" $ do
+                let tid = TIdSkolem 10 20 0
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    nodeInt = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                    qID = 100
+                    intID = 101
+                    te = (env PJoin) { teNodes = Map.insert qID nodeQ (Map.insert intID nodeInt (teNodes (env PJoin))) }
+                    ps = ProductState qID intID PJoin False emptyContext 0 0 Nothing
+                let (_, refs) = step te ps emptyRefinements
+                getRefinement (variableKey (teNodes te) 0 tid) refs `shouldBe` Just intID
+
+            it "implements indirection collapse when variable is involved" $ do
+                let tid = TIdInstance 100
+                    nodeV = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    vID = 1000
+                    -- ptrToBot is a pointer that was refined to SBottom
+                    ptrToBotID = botID
+                    te = (env PMeet) { teNodes = Map.insert vID nodeV (teNodes (env PMeet)) }
+                    ps1 = ProductState vID ptrToBotID PMeet False emptyContext 0 0 Nothing
+                -- First step: refine variable v to SBottom
+                let (_, refs1) = step te ps1 emptyRefinements
+                getRefinement (variableKey (teNodes te) 0 tid) refs1 `shouldBe` Just ptrToBotID
+
+                -- Second step: meet Nonnull pointer with the refined variable (which is now SBottom)
+                let nonnullID = nonnullPtr0ID
+                    ps2 = ProductState nonnullID vID PMeet False emptyContext 0 0 Nothing
+                fst (step te ps2 refs1) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+        context "PMeet (Refinement)" $ do
+            it "Bottom meet X = Bottom" $ do
+                let ps = ProductState botID i32ID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SBottom)
+
+            it "Any meet X = X (Identity)" $ do
+                let ps = ProductState anyID i32ID PMeet False emptyContext 0 0 Nothing
+                let (res, _) = step (env PMeet) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VBuiltin S32Ty) _) -> return ()
+                    _ -> expectationFailure $ "Expected i32 node, got " ++ show res
+
+            it "Conflict meet X = Conflict (Poisoning)" $ do
+                let ps = ProductState conflictID i32ID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Nonnull ptr to nullptr = Conflict (Nullability contradiction)" $ do
+                let ps = ProductState nonnullNullPtrID nonnullNullPtrID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Arr(Bottom) = Bottom (Indirection collapse)" $ do
+                let ps = ProductState arrBotID arrBotID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SBottom)
+
+            it "Ptr(Bottom) = Bottom (Indirection collapse)" $ do
+                let ptrBot = AnyRigidNodeF (RReference (Ptr (TargetObject botID)) QUnspecified QNonOwned' (Quals False))
+                    idPtrBot = 200
+                    te = (env PMeet) { teNodes = Map.insert idPtrBot ptrBot (teNodes (env PMeet)) }
+                    ps = ProductState idPtrBot idPtrBot PMeet False emptyContext 0 0 Nothing
+                fst (step te ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SBottom)
+
+            it "Nonnull meet Bottom = Conflict (Witness Contradiction)" $ do
+                -- nonnullNullPtrID is Nonnull. botID is SBottom.
+                let ps = ProductState nonnullNullPtrID botID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Refined Nonnull meet Bottom = Conflict" $ do
+                let tid = TIdSkolem 10 20 0
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    qID = 100
+                    -- Pre-refine qID to a Nonnull pointer
+                    refs = setRefinement (variableKey nodes 0 tid) nonnullNullPtrID emptyRefinements
+                    te = (env PMeet) { teNodes = Map.insert qID nodeQ nodes }
+                    ps = ProductState qID botID PMeet False emptyContext 0 0 Nothing
+                fst (step te ps refs) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Dereferencing Bottom = Conflict" $ do
+                -- Mimics *p where p is SBottom. Dereferencing implies a Nonnull requirement.
+                let ps = ProductState nonnullPtr0ID botID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "i32 meet i32Const = i32 (mutable)" $ do
+                let ps = ProductState i32ID i32ConstID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` fmap (\i -> ps { psNodeL = i, psNodeR = i }) (nodes Map.! i32ID)
+
+            it "refines tid 'T' (identity)" $ do
+                let tid = TIdName "T"
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    nodeInt = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                    qID = 2000
+                    intID = 2001
+                    te = (env PMeet) { teNodes = Map.insert qID nodeQ (Map.insert intID nodeInt (teNodes (env PMeet))) }
+                    ps = ProductState qID intID PMeet False emptyContext 0 0 Nothing
+                let (_, refs) = step te ps emptyRefinements
+                getRefinement (variableKey (teNodes te) 0 tid) refs `shouldBe` Just intID
+
+            it "refines T1 variable (Rank-1 Poly-variance)" $ do
+                let tid = TIdName "T1"
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    nodeInt = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                    qID = 2000
+                    intID = 2001
+                    te = (env PMeet) { teNodes = Map.insert qID nodeQ (Map.insert intID nodeInt (teNodes (env PMeet))) }
+                    ps = ProductState qID intID PMeet False emptyContext 0 0 Nothing
+                let (_, refs) = step te ps emptyRefinements
+                getRefinement (variableKey (teNodes te) 0 tid) refs `shouldBe` Just intID
+
+            it "refines PGlobal template parameters (Whole-Program Analysis)" $ do
+                let tid = TIdParam PGlobal 0 (Just "userdata")
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    nodeInt = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                    qID = 3000
+                    intID = 3001
+                    te = (env PMeet) { teNodes = Map.insert qID nodeQ (Map.insert intID nodeInt (teNodes (env PMeet))) }
+                    ps = ProductState qID intID PMeet False emptyContext 0 0 Nothing
+                let (res, refs) = step te ps emptyRefinements
+                res `shouldNotBe` AnyRigidNodeF (RTerminal SConflict)
+                getRefinement (variableKey (teNodes te) 0 tid) refs `shouldBe` Just intID
+
+            it "demonstrates one-way refinement using teRefineR = False" $ do
+                let tidL = TIdName "T1"
+                    tidR = TIdName "T"
+                    nodeL = AnyRigidNodeF (RObject (VVar tidL Nothing) (Quals False))
+                    nodeR = AnyRigidNodeF (RObject (VVar tidR Nothing) (Quals False))
+                    idL = 2004
+                    idR = 2005
+                    te = (env PMeet) { teNodes = Map.insert idL nodeL (Map.insert idR nodeR (teNodes (env PMeet)))
+                                     , teRefineR = False }
+                    ps = ProductState idL idR PMeet False emptyContext 0 0 Nothing
+
+                -- Simulate that T1 is already refined to Int
+                let idI32 = i32ID
+                let refs1 = setRefinement (variableKey (teNodes te) 0 tidL) idI32 emptyRefinements
+
+                let (_, refs2) = step te ps refs1
+                -- We want T NOT to be refined to Int (one-way refinement)
+                getRefinement (variableKey (teNodes te) 0 tidR) refs2 `shouldBe` Nothing
+
+            it "results in concrete type when meeting with non-refinable variable (one-way)" $ do
+                let tidR = TIdName "T"
+                    nodeR = AnyRigidNodeF (RObject (VVar tidR Nothing) (Quals False))
+                    idInt = i32ID
+                    idR = 2005
+                    te = (env PMeet) { teNodes = Map.insert idR nodeR (teNodes (env PMeet))
+                                     , teRefineR = False }
+                    ps = ProductState idInt idR PMeet False emptyContext 0 0 Nothing
+                let (res, _) = step te ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VBuiltin S32Ty) _) -> return ()
+                    _ -> expectationFailure $ "Expected i32 node, got " ++ show res
+
+            it "Refinement Conflict: persistent refinement A meet B = Top if A /= B" $ do
+                let tid = TIdSkolem 10 20 0
+                    nodeQ = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                    qID = 100
+                    te = (env PMeet) { teNodes = Map.insert qID nodeQ (teNodes (env PMeet)) }
+                    ps = ProductState qID charID PMeet False emptyContext 0 0 Nothing
+                    -- Pre-refine tid to i32ID
+                    refs = setRefinement (variableKey (teNodes te) 0 tid) i32ID emptyRefinements
+                fst (step te ps refs) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Physical Constancy: PMeet(Literal, Mutable) = Top" $ do
+                -- i32Lit0ID is physically const (Quals True)
+                -- i32ID is mutable (Quals False)
+                let ps = ProductState i32Lit0ID i32ID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Variant Mismatch: PMeet(Variant1, Variant2) = Top" $ do
+                let ps = ProductState variantID variant2ID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "SizeExpr Mismatch: PMeet(sizeof i32, alignof i32) = Top" $ do
+                let ps = ProductState propID alignPropID PMeet False emptyContext 0 0 Nothing
+                fst (step (env PMeet) ps emptyRefinements) `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Function Return Meet: PMeet(Ret i32, Ret i32Const) = Ret i32" $ do
+                let ps = ProductState funcRetID funcRetConstID PMeet False emptyContext 0 0 Nothing
+                let (res, _) = step (env PMeet) ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RFunction _ (RetVal retPS)) -> do
+                        psNodeL retPS `shouldBe` i32ID
+                        psNodeR retPS `shouldBe` i32ConstID
+                        psPolarity retPS `shouldBe` PMeet
+                    _ -> expectationFailure $ "Expected RFunction with RetVal, got " ++ show res
+
+            it "allows meeting two refinable TargetOpaque nodes and unifies them structurally" $ do
+                let tidL = TIdSkolem 10 20 1
+                    tidR = TIdSkolem 30 40 2
+                    ptrL = AnyRigidNodeF (RReference (Ptr (TargetOpaque tidL)) QUnspecified QNonOwned' (Quals False))
+                    ptrR = AnyRigidNodeF (RReference (Ptr (TargetOpaque tidR)) QUnspecified QNonOwned' (Quals False))
+                    idL = 2002
+                    idR = 2003
+                    te = (env PMeet) { teNodes = Map.insert idL ptrL (Map.insert idR ptrR (teNodes (env PMeet))) }
+                    ps = ProductState idL idR PMeet False emptyContext 0 0 Nothing
+                let (res, _) = step te ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RReference (Ptr (TargetOpaque tid)) _ _ _) ->
+                        tid `shouldBe` min tidL tidR
+                    _ -> expectationFailure $ "Expected TargetOpaque, got " ++ show res
+
+        context "Bugs and Critical Mistakes" $ do
+            it "Issue 1: Mutable Literal Assignment (correctly forbidden in Strict Hic)" $ do
+                let ps = ProductState i32ID i32Lit0ID PMeet False emptyContext 0 0 Nothing
+                let (res, _) = step (env PMeet) ps emptyRefinements
+                res `shouldBe` AnyRigidNodeF (RTerminal SConflict)
+
+            it "Issue 4: Asymmetric depth shifting in Packing Rule (PJoin)" $ do
+                let db0 = TIdDeBruijn 0
+                    nodeVar = AnyRigidNodeF (RObject (VVar db0 Nothing) (Quals False))
+                    idVarL = 5000
+                    idExistInnerR = 5004
+                    nodes' = Map.insert idVarL nodeVar $ Map.insert idExistInnerR (AnyRigidNodeF (RObject (VExistential [db0] 2) (Quals False))) nodes
+                    te = (env PJoin) { teNodes = nodes' }
+                    ps = ProductState idVarL idExistInnerR PJoin False (pushMapping 0 emptyContext) 1 1 Nothing
+                let (res, _) = step te ps emptyRefinements
+                case res of
+                    AnyRigidNodeF (RObject (VExistential _ childPS) _) -> do
+                        -- The left side was concrete, it stays at depth 1
+                        psDepthL childPS `shouldBe` 1
+                        -- The right side was an Existential, it shifts to depth 2
+                        psDepthR childPS `shouldBe` 2
+                    _ -> expectationFailure $ "Expected Existential, got " ++ show res
+
+            it "allows meeting RObject(VVar) with RReference (Refinement identity)" $ do
+                let ps = ProductState varID i32PtrID PMeet False emptyContext 0 0 Nothing
+                let (result, _) = step (env PMeet) ps emptyRefinements
+                result `shouldNotBe` AnyRigidNodeF (RTerminal SConflict)
+
+    describe "Universal Properties" $ do
+        prop "Idempotence: step(pol, X, X) semantically X" $ \pol (nodeX :: AnyRigidNodeF TemplateId Word32) ->
+            let isPhys (AnyRigidNodeF (RObject s q)) = not (qConst q) && case s of
+                    VSingleton{}       -> True
+                    VBuiltin NullPtrTy -> True
+                    VProperty{}        -> True
+                    _                  -> False
+                isPhys _ = False
+            in not (isPhys nodeX) ==>
+                let nodes' = Map.fromList [(2, nodeX)]
+                    env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                    ps = ProductState 2 2 pol False emptyContext 0 0 Nothing
+                    (res, _) = step env' ps emptyRefinements
+                in semEqStep res psNodeL nodeX
+
+        prop "Commutativity: step(pol, L, R) == swap(step(pol, R, L))" $ \pol (nodeL :: AnyRigidNodeF TemplateId Word32) (nodeR :: AnyRigidNodeF TemplateId Word32) ->
+            let nodes' = Map.fromList [(2, nodeL), (3, nodeR)]
+                env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                swapStepResult (AnyRigidNodeF n) = AnyRigidNodeF (fmap swapPS n)
+                swapPS ps = ps { psNodeL = psNodeR ps, psNodeR = psNodeL ps, psDepthL = psDepthR ps, psDepthR = psDepthL ps }
+                psL = ProductState 2 3 pol False emptyContext 0 0 Nothing
+                psR = ProductState 3 2 pol False emptyContext 0 0 Nothing
+                resL = fst $ step env' psL emptyRefinements
+                resR = fst $ step env' psR emptyRefinements
+            in semEqResult resL (swapStepResult resR)
+
+        prop "Identity for PJoin: step(PJoin, X, Bottom) == X" $ \nodeX ->
+            let nodes' = Map.fromList [(botID, AnyRigidNodeF (RTerminal SBottom)), (anyID, AnyRigidNodeF (RTerminal SAny)), (conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PJoin pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 botID PJoin False emptyContext 0 0 Nothing
+                res = fst (step env' ps emptyRefinements)
+                -- Map nodeX to use identical product states for identity comparison
+                expectedResult = fmap (\i -> ProductState i i PJoin False emptyContext 0 0 Nothing) nodeX
+            in if isTop nodes' emptyRefinements 0 3
+               then res == AnyRigidNodeF (RTerminal SConflict)
+               else semEqResult res expectedResult
+
+        prop "Zero for PJoin: step(PJoin, X, Any) == Any or Conflict" $ \nodeX ->
+            let nodes' = Map.fromList [(botID, AnyRigidNodeF (RTerminal SBottom)), (anyID, AnyRigidNodeF (RTerminal SAny)), (conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PJoin pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 anyID PJoin False emptyContext 0 0 Nothing
+                res = fst (step env' ps emptyRefinements)
+            in if isTop nodes' emptyRefinements 0 3
+               then res == AnyRigidNodeF (RTerminal SConflict)
+               else res == AnyRigidNodeF (RTerminal SAny)
+
+        prop "Identity for PMeet: step(PMeet, X, Any) == X" $ \nodeX ->
+            let nodes' = Map.fromList [(botID, AnyRigidNodeF (RTerminal SBottom)), (anyID, AnyRigidNodeF (RTerminal SAny)), (conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PMeet pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 anyID PMeet False emptyContext 0 0 Nothing
+                res = fst (step env' ps emptyRefinements)
+                expectedResult = fmap (\i -> ProductState i i PMeet False emptyContext 0 0 Nothing) nodeX
+            in if isTop nodes' emptyRefinements 0 3
+               then res == AnyRigidNodeF (RTerminal SConflict)
+               else semEqResult res expectedResult
+
+        prop "Poisoning for PJoin: step(PJoin, X, Conflict) == Conflict" $ \nodeX ->
+            let nodes' = Map.fromList [(conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PJoin pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 conflictID PJoin False emptyContext 0 0 Nothing
+            in fst (step env' ps emptyRefinements) == AnyRigidNodeF (RTerminal SConflict)
+
+        prop "Poisoning for PMeet: step(PMeet, X, Conflict) == Conflict" $ \nodeX ->
+            let nodes' = Map.fromList [(conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PMeet pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 conflictID PMeet False emptyContext 0 0 Nothing
+            in fst (step env' ps emptyRefinements) == AnyRigidNodeF (RTerminal SConflict)
+
+        prop "Zero for PMeet: step(PMeet, X, Bottom) == Bottom or Conflict (Safety Algebra)" $ \nodeX ->
+            let nodes' = Map.fromList [(botID, AnyRigidNodeF (RTerminal SBottom)), (anyID, AnyRigidNodeF (RTerminal SAny)), (conflictID, AnyRigidNodeF (RTerminal SConflict)), (3, nodeX)]
+                env' = TransitionEnv nodes' registry PMeet pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 3 botID PMeet False emptyContext 0 0 Nothing
+                res = fst (step env' ps emptyRefinements)
+                expected = if isTop nodes' emptyRefinements 0 3 || isNonnull nodes' emptyRefinements 0 3 then AnyRigidNodeF (RTerminal SConflict) else AnyRigidNodeF (RTerminal SBottom)
+            in res == expected
+
+        prop "NullPtr Collapse: Reference(NullPtrTy) collapses to SBottom" $ \pol ->
+            let node = AnyRigidNodeF (RReference (Ptr (TargetObject nullPtrTyID)) QUnspecified QNonOwned' (Quals False))
+                nodes' = Map.fromList [(2, node), (nullPtrTyID, nodes Map.! nullPtrTyID)]
+                env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 2 2 pol False emptyContext 0 0 Nothing
+            in fst (step env' ps emptyRefinements) == AnyRigidNodeF (RTerminal SBottom)
+
+        prop "Nominal Mismatch: step(pol, Nominal A, Nominal B) == Top if A /= B" $ \pol ->
+            let nodeA = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Point")) []) (Quals False))
+                nodeB = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "Callback")) []) (Quals False))
+                nodes' = Map.fromList [(2, nodeA), (3, nodeB)]
+                env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 2 3 pol False emptyContext 0 0 Nothing
+            in fst (step env' ps emptyRefinements) == AnyRigidNodeF (RTerminal SConflict)
+
+        prop "Polarity Inversion: Function arguments flip polarity" $ \pol ->
+            let nodeF = AnyRigidNodeF (RFunction [i32ID] RetVoid)
+                nodes' = Map.fromList [(1000, nodeF), (i32ID, nodes Map.! i32ID)]
+                env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 1000 1000 pol False emptyContext 0 0 Nothing
+                (res, _) = step env' ps emptyRefinements
+            in case res of
+                AnyRigidNodeF (RFunction [argPS] _) ->
+                    psPolarity argPS == (if pol == PJoin then PMeet else PJoin)
+                _ -> False
+
+        prop "Qualifier Monotonicity: join(Const, Mutable) == Const, meet(Const, Mutable) == Mutable" $ \pol ->
+            let nodeM = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals False))
+                nodeC = AnyRigidNodeF (RObject (VBuiltin S32Ty) (Quals True))
+                nodes' = Map.fromList [(2, nodeM), (3, nodeC)]
+                env' = TransitionEnv nodes' registry pol pathCtx emptyPath (botID, anyID, conflictID, botID) True True
+                ps = ProductState 2 3 pol False emptyContext 0 0 Nothing
+                (res, _) = step env' ps emptyRefinements
+            in case res of
+                AnyRigidNodeF (RObject _ q) ->
+                    qConst q == (if pol == PJoin then True else False)
+                _ -> False
+
+    describe "Packing Rule (Existential Promotion)" $ do
+        it "does NOT unify parameters during promotion join" $ do
+            -- My_Callback<T1> join My_Callback<T2>
+            let tid1 = TIdName "T1"
+                tid2 = TIdName "T2"
+                nodeV1 = AnyRigidNodeF (RObject (VVar tid1 Nothing) (Quals False))
+                nodeV2 = AnyRigidNodeF (RObject (VVar tid2 Nothing) (Quals False))
+                vID1 = 300
+                vID2 = 301
+                -- 302: My_Callback<T1>
+                -- 303: My_Callback<T2>
+                nodeMC1 = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "My_Callback")) [vID1]) (Quals False))
+                nodeMC2 = AnyRigidNodeF (RObject (VNominal (dummyL' (TIdName "My_Callback")) [vID2]) (Quals False))
+                mcID1 = 302
+                mcID2 = 303
+                te = (env PJoin) { teNodes = Map.fromList
+                                     [ (vID1, nodeV1), (vID2, nodeV2)
+                                     , (mcID1, nodeMC1), (mcID2, nodeMC2)
+                                     , (124, nodes Map.! 124), (123, nodes Map.! 123), (125, nodes Map.! 125) -- Existential nodes
+                                     ] }
+                ps = ProductState mcID1 mcID2 PJoin False emptyContext 0 0 Nothing
+
+            let (res, refs) = step te ps emptyRefinements
+
+            -- 1. Result should be the existential
+            case res of
+                AnyRigidNodeF (RObject (VExistential _ _) _) -> return ()
+                _ -> expectationFailure $ "Expected Existential, got " ++ show res
+
+            -- 2. T1 and T2 must NOT be refined (unified)
+            getRefinement (variableKey (teNodes te) 0 tid1) refs `shouldBe` Nothing
+            getRefinement (variableKey (teNodes te) 0 tid2) refs `shouldBe` Nothing
+
+        it "promotes My_Callback<i32> join My_Callback<f32> to exists T. My_Callback<T>" $ do
+            let ps = ProductState 121 122 PJoin False emptyContext 0 0 Nothing
+            let (res, _) = step (env PJoin) ps emptyRefinements
+            case res of
+                AnyRigidNodeF (RObject (VExistential [TIdDeBruijn 0] body) _) -> do
+                    -- Verify structural correspondence
+                    psNodeL body `shouldBe` 121
+                    psNodeR body `shouldBe` 123
+                _ -> expectationFailure $ "Expected promotion to VExistential, got " ++ show res
+
+        it "refines a variable to the promoted existential supertype during PJoin" $ do
+            let tid = TIdName "T1"
+                nodeV = AnyRigidNodeF (RObject (VVar tid Nothing) (Quals False))
+                vID = 200
+                te = (env PJoin) { teNodes = Map.insert vID nodeV (teNodes (env PJoin)) }
+
+            -- Simulate T1 is already refined to My_Callback<int> (node 121)
+            let refs1 = setRefinement (variableKey (teNodes te) 0 tid) 121 emptyRefinements
+
+            -- Join My_Callback<float> (node 122) with T1 (refined to 121)
+            let ps = ProductState 122 vID PJoin False emptyContext 0 0 Nothing
+            let (res, refs2) = step te ps refs1
+
+            -- Verify we got the promotion result
+            case res of
+                AnyRigidNodeF (RObject (VExistential _ _) _) -> return ()
+                _ -> expectationFailure $ "Expected Existential result, got " ++ show res
+
+            -- T1 should be updated to 124 (exists T. My_Callback<T>)
+            getRefinement (variableKey (teNodes te) 0 tid) refs2 `shouldBe` Just 124
+
+    describe "Bound Variable Isolation" $ do
+        it "does not refine TIdDeBruijn variables (bound variables) in MappingRefinements" $ do
+            -- Bound variables must not be refined globally.
+            -- Joining a bound variable (DeBruijn 0) with a concrete type (i32)
+            -- should result in SAny and NO refinements.
+            let db0 = TIdDeBruijn 0
+                nodeV = AnyRigidNodeF (RObject (VVar db0 Nothing) (Quals False))
+                idV = 300
+                te = (env PJoin) { teNodes = Map.insert idV nodeV (teNodes (env PJoin)) }
+                ps = ProductState idV i32ID PJoin False emptyContext 0 0 Nothing
+
+            let (res, refs) = step te ps emptyRefinements
+
+            -- 1. Result should be Top (Join of different categories/un-unified variables)
+            res `shouldBe` AnyRigidNodeF (RTerminal SAny)
+
+            -- 2. MappingRefinements must remain empty
+            mrRefinements refs `shouldBe` IntMap.empty
+
+    describe "One-Way Inheritance (psOneWay)" $ do
+        it "prevents refining R when oneWay is True" $ do
+            let tidL = TIdName "T1" -- Refinable
+                tidR = TIdName "T2" -- Refinable
+                nodeL = AnyRigidNodeF (RObject (VVar tidL Nothing) (Quals False))
+                nodeR = AnyRigidNodeF (RObject (VVar tidR Nothing) (Quals False))
+                idL = 400
+                idR = 401
+                te = (env PMeet) { teNodes = Map.fromList [(idL, nodeL), (idR, nodeR)], teRefineR = False }
+                -- oneWay = True
+                ps = ProductState idL idR PMeet True emptyContext 0 0 Nothing
+
+            -- Meeting two variables with oneWay=True should NOT unify them.
+            -- It should return L and NOT refine R.
+            let (res, refs) = step te ps emptyRefinements
+
+            case res of
+                AnyRigidNodeF (RObject (VVar t _) _) -> t `shouldBe` tidL
+                _ -> expectationFailure $ "Expected VVar L, got " ++ show res
+
+            getRefinement (variableKey (teNodes te) 0 tidR) refs `shouldBe` Nothing
+
+        it "allows refining L from a concrete R when oneWay is True" $ do
+            let tidL = TIdName "T1" -- Refinable
+                nodeL = AnyRigidNodeF (RObject (VVar tidL Nothing) (Quals False))
+                idL = 400
+                te = (env PMeet) { teNodes = Map.insert idL nodeL (teNodes (env PMeet)), teRefineR = False }
+                ps = ProductState idL i32ID PMeet True emptyContext 0 0 Nothing
+
+            -- Meeting L with i32 should refine L to i32
+            let (_, refs) = step te ps emptyRefinements
+
+            getRefinement (variableKey (teNodes te) 0 tidL) refs `shouldBe` Just i32ID
+
+    describe "Location-Invariant Matching" $ do
+        it "promotes VNominal types with different lexeme locations" $ do
+            let tid = TIdName "My_Callback"
+                -- Different AlexPn locations
+                l1 = L (AlexPn 10 1 10) IdSueType tid
+                l2 = L (AlexPn 20 2 20) IdSueType tid
+                node1 = AnyRigidNodeF (RObject (VNominal l1 [3]) (Quals False))
+                node2 = AnyRigidNodeF (RObject (VNominal l2 [120]) (Quals False))
+                id1 = 500
+                id2 = 501
+                te = (env PJoin) { teNodes = Map.union (Map.fromList [(id1, node1), (id2, node2)]) (teNodes (env PJoin)) }
+                ps = ProductState id1 id2 PJoin False emptyContext 0 0 Nothing
+
+            -- Should trigger promotion despite different source locations
+            let (res, _) = step te ps emptyRefinements
+            case res of
+                AnyRigidNodeF (RObject (VExistential _ _) _) -> return ()
+                _ -> expectationFailure $ "Expected Promotion to Existential, got " ++ show res
diff --git a/test/Language/Cimple/Analysis/ScopeSpec.hs b/test/Language/Cimple/Analysis/ScopeSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/ScopeSpec.hs
@@ -0,0 +1,333 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.ScopeSpec (spec) where
+
+import           Data.Text                         (Text)
+import qualified Data.Text                         as Text
+import qualified Language.Cimple                   as C
+import           Language.Cimple.Analysis.Scope
+import           Language.Cimple.Hic.InferenceSpec (mustParseNodes)
+import           Language.Cimple.Pretty            (showNodePlain)
+import qualified Language.Cimple.Program           as Program
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.Scope" $ do
+    it "resolves a simple variable" $ do
+        ast <- mustParseNodes
+            [ "int main() {"
+            , "  int x;"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "int main_1() {"
+              , "  int x_2;"
+              , ""
+              , "  return x_2;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles name shadowing" $ do
+        ast <- mustParseNodes
+            [ "int main() {"
+            , "  int x;"
+            , "  if (true) {"
+            , "    int x;"
+            , "    return x;"
+            , "  }"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "int main_1() {"
+              , "  int x_2;"
+              , ""
+              , "  if (true) {"
+              , "    int x_3;"
+              , ""
+              , "    return x_3;"
+              , "  }"
+              , ""
+              , "  return x_2;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles function parameters" $ do
+        ast <- mustParseNodes
+            [ "int f(int x) {"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "int f_1(int x_2) {"
+              , "  return x_2;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles global variables" $ do
+        ast <- mustParseNodes
+            [ "const int x = 3;"
+            , "int main() {"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "const int x_1 = 3;"
+              , "int main_2() {"
+              , "  return x_1;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles static variables" $ do
+        ast <- mustParseNodes
+            [ "static const int x = 3;"
+            , "int main() {"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "static const int x_1 = 3;"
+              , "int main_2() {"
+              , "  return x_1;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles function declarations and definitions" $ do
+        ast <- mustParseNodes
+            [ "int f(int x);"
+            , "int main() {"
+            , "  return f(0);"
+            , "}"
+            , "int f(int x) {"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "int f_1(int x_2);"
+              , "int main_3() {"
+              , "  return f_1(0);"
+              , "}"
+              , "int f_1(int x_4) {"
+              , "  return x_4;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles for loop initializers" $ do
+        ast <- mustParseNodes
+            [ "int main() {"
+            , "  for (int i = 0; i < 10; ++i) {"
+            , "    int x;"
+            , "  }"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "int main_1() {"
+              , "  for (int i_2 = 0; i_2 < 10; ++i_2) {"
+              , "    int x_3;"
+              , "  }"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles structs" $ do
+        ast <- mustParseNodes
+            [ "struct Struct {"
+            , "  int x;"
+            , "};"
+            , "int main() {"
+            , "  struct Struct s;"
+            , "  s.x = 0;"
+            , "  return s.x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "struct Struct {"
+              , "  int x_1;"
+              , "};"
+              , "int main_2() {"
+              , "  struct Struct s_3;"
+              , ""
+              , "  s_3.x = 0;"
+              , ""
+              , "  return s_3.x;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles unions" $ do
+        ast <- mustParseNodes
+            [ "union Union {"
+            , "  int x;"
+            , "  float y;"
+            , "};"
+            , "int main() {"
+            , "  union Union u;"
+            , "  u.x = 0;"
+            , "  return u.x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "union Union {"
+              , "  int x_1;"
+              , "  float y_2;"
+              , "};"
+              , "int main_3() {"
+              , "  union Union u_4;"
+              , ""
+              , "  u_4.x = 0;"
+              , ""
+              , "  return u_4.x;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles enums" $ do
+        ast <- mustParseNodes
+            [ "typedef enum Enum {"
+            , "  ENUM_A,"
+            , "  ENUM_B"
+            , "} Enum;"
+            , "int main() {"
+            , "  Enum e = ENUM_A;"
+            , "  return e;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "typedef enum Enum {"
+              , "  ENUM_A_1,"
+              , "  ENUM_B_2,"
+              , "} Enum;"
+              , "int main_3() {"
+              , "  Enum e_4 = ENUM_A_1;"
+              , ""
+              , "  return e_4;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles typedefs" $ do
+        ast <- mustParseNodes
+            [ "typedef int My_Int;"
+            , "int main() {"
+            , "  My_Int x;"
+            , "  return x;"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "typedef int My_Int;"
+              , "int main_1() {"
+              , "  My_Int x_2;"
+              , ""
+              , "  return x_2;"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles a complex scenario" $ do
+        ast <- mustParseNodes
+            [ "const int g = 3;"
+            , "static const int s = 4;"
+            , "int f(int p) {"
+            , "  int l;"
+            , "  return g + s + p + l;"
+            , "}"
+            , "int main() {"
+            , "  return f(s);"
+            , "}"
+            ]
+        let (transformedAst, _finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "const int g_1 = 3;"
+              , "static const int s_2 = 4;"
+              , "int f_3(int p_4) {"
+              , "  int l_5;"
+              , ""
+              , "  return g_1 + s_2 + p_4 + l_5;"
+              , "}"
+              , "int main_6() {"
+              , "  return f_3(s_2);"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "handles a very complex scoping scenario" $ do
+        ast <- mustParseNodes
+            [ "const int g = 1;"
+            , "typedef int math_op_cb(int a, int b);"
+            , "int add(int a, int b) { return a + b; }"
+            , "int complex_scope(int g) {"
+            , "  int s = 0;"
+            , "  s = s + 1;"
+            , "  math_op_cb *operation = &add;"
+            , "  if (s > 1) {"
+            , "    int s = 100;"
+            , "    return operation(g, s);"
+            , "  }"
+            , "  return operation(g, s);"
+            , "}"
+            ]
+        let (transformedAst, finalState) = runScopePass ast
+        let expected = Text.unlines
+              [ "const int g_1 = 1;"
+              , "typedef int math_op_cb(int a_2, int b_3);"
+              , "int add_4(int a_5, int b_6) {"
+              , "  return a_5 + b_6;"
+              , "}"
+              , "int complex_scope_7(int g_8) {"
+              , "  int s_9 = 0;"
+              , ""
+              , "  s_9 = s_9 + 1;"
+              , ""
+              , "  math_op_cb* operation_10 = &add_4;"
+              , ""
+              , "  if (s_9 > 1) {"
+              , "    int s_11 = 100;"
+              , ""
+              , "    return operation_10(g_8, s_11);"
+              , "  }"
+              , ""
+              , "  return operation_10(g_8, s_9);"
+              , "}"
+              ]
+        let actual = Text.unlines (map showNodePlain transformedAst)
+        ssErrors finalState `shouldBe` []
+        Text.stripEnd actual `shouldBe` Text.stripEnd expected
+
+    it "reports an error for variables used out of scope" $ do
+        ast <- mustParseNodes
+            [ "int main() {"
+            , "  for (int i = 0; i < 1; ++i) { continue; }"
+            , "  return i;"
+            , "}"
+            ]
+        let (_transformedAst, finalState) = runScopePass ast
+        ssErrors finalState `shouldBe` ["Undeclared variable: \"i\""]
diff --git a/test/Language/Cimple/Analysis/TypeCheck/ConstraintsSpec.hs b/test/Language/Cimple/Analysis/TypeCheck/ConstraintsSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeCheck/ConstraintsSpec.hs
@@ -0,0 +1,104 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE MonoLocalBinds    #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeCheck.ConstraintsSpec (spec) where
+
+import qualified Language.Cimple.Analysis.TypeSystem            as TS
+
+import           Data.Fix                                       (Fix (..))
+import           Data.Map.Strict                                (Map)
+import qualified Data.Map.Strict                                as Map
+import           Data.Text                                      (Text)
+import qualified Language.Cimple                                as C
+import           Language.Cimple.Analysis.Errors                (Context (..), MismatchReason (..))
+import           Language.Cimple.Analysis.TypeCheck.Constraints
+import           Language.Cimple.Analysis.TypeSystem            (pattern BuiltinType,
+                                                                 pattern Function,
+                                                                 pattern Nullable,
+                                                                 pattern Pointer,
+                                                                 pattern Singleton,
+                                                                 StdType (..),
+                                                                 pattern Template,
+                                                                 TypeInfo,
+                                                                 TypeRef (..),
+                                                                 pattern TypeRef)
+import           Language.Cimple.Hic.InferenceSpec              (mustParseNodes)
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeCheck.Constraints" $ do
+    it "extracts constraints from a simple assignment" $ do
+        nodes <- mustParseNodes ["void f() { int x; x = 1; }"]
+        let (constraints, _, _) = extractConstraints Map.empty "test.c" (Fix (C.Group nodes)) 0 0
+        let expected = Subtype (Singleton S32Ty 1) (BuiltinType S32Ty) (Just (C.L (C.AlexPn 18 1 19) C.IdVar "x")) [InFunction "f", InFile "test.c"] AssignmentMismatch
+        constraints `shouldContain` [expected]
+
+    it "extracts subtyping constraints for pointers" $ do
+        nodes <- mustParseNodes ["void f(int *x, int *y) { x = y; }"]
+        let (constraints, _, _) = extractConstraints Map.empty "test.c" (Fix (C.Group nodes)) 0 0
+        let expected = Subtype (Pointer (BuiltinType S32Ty)) (Pointer (BuiltinType S32Ty)) (Just (C.L (C.AlexPn 25 1 26) C.IdVar "x")) [InFunction "f", InFile "test.c"] AssignmentMismatch
+        constraints `shouldContain` [expected]
+
+    it "handles member access through constraints" $ do
+        nodes <- mustParseNodes ["struct MyStruct { int a; }; void f(struct MyStruct *s) { s->a = 1; }"]
+        let (constraints, _, _) = extractConstraints Map.empty "test.c" (Fix (C.Group nodes)) 0 0
+        -- We expect a MemberAccess constraint and then a Subtype constraint
+        -- The MemberAccess will relate the struct type to a template variable
+        let hasMemberAccess = any (\case MemberAccess{} -> True; _ -> False) constraints
+        hasMemberAccess `shouldBe` True
+
+    it "extracts constraints from a statement-like macro" $ do
+        nodes <- mustParseNodes
+            [ "#define SWAP_INT(x, y) do { int tmp = x; x = y; y = tmp; } while (0)"
+            , "void f() { int a = 1; int *b = nullptr; SWAP_INT(a, b); }"
+            ]
+        let ts = Map.empty
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        -- We expect a Subtype constraint from x = y where x is int and y is int*
+        let isMismatchedAssign = \case
+                Subtype (Pointer (BuiltinType S32Ty)) (BuiltinType S32Ty) _ _ AssignmentMismatch -> True
+                _ -> False
+        any isMismatchedAssign constraints `shouldBe` True
+
+    it "extracts constraints for array access with variable index" $ do
+        nodes <- mustParseNodes ["void f(void **arr, int i) { void *x = arr[i]; }"]
+        let (constraints, _, _) = extractConstraints Map.empty "test.c" (Fix (C.Group nodes)) 0 0
+        -- We expect x to have a type that is a template indexed by i's type
+        let isDependentAssign = \case
+                Subtype (Pointer (Template _ (Just (BuiltinType S32Ty)))) _ _ _ InitializerMismatch -> True
+                _ -> False
+        any isDependentAssign constraints `shouldBe` True
+
+    it "handles polymorphic callbacks with _Nonnull/_Nullable divergence" $ do
+        nodes <- mustParseNodes
+            [ "typedef struct IP_Port IP_Port;"
+            , "typedef struct Networking_Core Networking_Core;"
+            , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, const uint8_t *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+            , "struct Packet_Handler { packet_handler_cb *function; void *object; };"
+            , "typedef struct Packet_Handler Packet_Handler;"
+            , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+            , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+            , "    net->packethandlers[byte].function = cb;"
+            , "    net->packethandlers[byte].object = object;"
+            , "}"
+            , "typedef struct Net_Crypto Net_Crypto;"
+            , "struct Net_Crypto { int x; };"
+            , "static int udp_handle_cookie_request(void *_Nonnull object, const IP_Port *_Nonnull source, const uint8_t *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+            , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+            , "    return 0;"
+            , "}"
+            , "void f(Networking_Core *net, Net_Crypto *temp) {"
+            , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+            , "}"
+            ]
+        let (constraints, _, _) = extractConstraints Map.empty "test.c" (Fix (C.Group nodes)) 0 0
+        -- Verify that we have a Callable constraint relating the callback to the expected type
+        let isRegistrationCallable = \case
+                Callable (Function _ params) _ _ _ _ _ ->
+                    any (\case Nullable (Pointer (TypeRef FuncRef (C.L _ _ tid) _)) -> TS.templateIdToText tid == "packet_handler_cb"; _ -> False) params
+                _ -> False
+        any isRegistrationCallable constraints `shouldBe` True
+
diff --git a/test/Language/Cimple/Analysis/TypeCheck/SolverSpec.hs b/test/Language/Cimple/Analysis/TypeCheck/SolverSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeCheck/SolverSpec.hs
@@ -0,0 +1,201 @@
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.TypeCheck.SolverSpec (spec) where
+
+import           Data.Fix                                       (Fix (..))
+import           Data.Map.Strict                                (Map)
+import qualified Data.Map.Strict                                as Map
+import           Data.Text                                      (Text)
+import qualified Data.Text                                      as T
+import qualified Language.Cimple                                as C
+import           Language.Cimple.Analysis.Errors                (ErrorInfo (..))
+import qualified Language.Cimple.Analysis.Pretty                as P
+import           Language.Cimple.Analysis.TypeCheck.Constraints (extractConstraints)
+import           Language.Cimple.Analysis.TypeCheck.Solver      (solveConstraints)
+import qualified Language.Cimple.Analysis.TypeSystem            as TS
+import           Language.Cimple.Hic.InferenceSpec              (mustParseNodes)
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeCheck.Solver" $ do
+    it "successfully solves Nonnull to Nullable promotion" $ do
+        nodes <- mustParseNodes ["void g(int *_Nullable x); void f(int *_Nonnull y) { g(y); }"]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "successfully solves contravariant callback registration (toxcore pattern)" $ do
+        nodes <- mustParseNodes
+            [ "struct IP_Port { int x; };"
+            , "typedef struct IP_Port IP_Port;"
+            , "struct Networking_Core;"
+            , "typedef struct Networking_Core Networking_Core;"
+            , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, const uint8_t *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+            , "struct Packet_Handler { packet_handler_cb *function; void *object; };"
+            , "typedef struct Packet_Handler Packet_Handler;"
+            , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+            , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+            , "    net->packethandlers[byte].function = cb;"
+            , "    net->packethandlers[byte].object = object;"
+            , "}"
+            , "typedef struct Net_Crypto Net_Crypto;"
+            , "struct Net_Crypto { int x; };"
+            , "static int udp_handle_cookie_request(void *_Nullable object, const IP_Port *_Nonnull source, const uint8_t *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+            , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+            , "    return 0;"
+            , "}"
+            , "void f(Networking_Core *_Nonnull net, Net_Crypto *temp) {"
+            , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+            , "}"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "successfully solves Nonnull to Nullable covariance" $ do
+        nodes <- mustParseNodes ["void g(int *_Nullable x); void f(int *_Nonnull y) { g(y); }"]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "handles unregistration with nullptr" $ do
+        nodes <- mustParseNodes
+            [ "typedef void my_cb(void *obj);"
+            , "struct Reg { my_cb *f; void *o; };"
+            , "void set(struct Reg *r, my_cb *f, void *o) { r->f = f; r->o = o; }"
+            , "struct My_Data { int x; };"
+            , "void handler(void *obj) { struct My_Data *d = (struct My_Data *)obj; }"
+            , "void f(struct Reg *r, struct My_Data *d) {"
+            , "    set(r, &handler, d);"
+            , "    set(r, nullptr, nullptr);"
+            , "}"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "handles heterogeneous registry with indexed templates" $ do
+        nodes <- mustParseNodes
+            [ "typedef void my_cb(void *obj);"
+            , "struct Handler { my_cb *f; void *o; };"
+            , "struct Reg { struct Handler h[2]; };"
+            , "struct My_A { int a; }; struct My_B { int b; };"
+            , "void handlerA(void *obj) { struct My_A *a = (struct My_A *)obj; }"
+            , "void handlerB(void *obj) { struct My_B *b = (struct My_B *)obj; }"
+            , "void f(struct Reg *r, struct My_A *a, struct My_B *b) {"
+            , "    r->h[0].f = &handlerA; r->h[0].o = a;"
+            , "    r->h[1].f = &handlerB; r->h[1].o = b;"
+            , "}"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "handles heterogeneous registry with variable index (singleton types)" $ do
+        nodes <- mustParseNodes
+            [ "typedef void my_cb(void *obj);"
+            , "struct Handler { my_cb *f; void *o; };"
+            , "struct Reg { struct Handler h[256]; };"
+            , "void set(struct Reg *r, int i, my_cb *f, void *o) {"
+            , "    r->h[i].f = f;"
+            , "    r->h[i].o = o;"
+            , "}"
+            , "struct My_A { int a; }; struct My_B { int b; };"
+            , "void handlerA(void *obj) { struct My_A *a = (struct My_A *)obj; }"
+            , "void handlerB(void *obj) { struct My_B *b = (struct My_B *)obj; }"
+            , "void f(struct Reg *r, struct My_A *a, struct My_B *b) {"
+            , "    set(r, 1, &handlerA, a);"
+            , "    set(r, 2, &handlerB, b);"
+            , "}"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "reports error for mismatching indices in heterogeneous registry" $ do
+        nodes <- mustParseNodes
+            [ "struct Reg { void *h[256]; };"
+            , "void f(struct Reg *r, int *a, float *b) {"
+            , "    r->h[1] = a;"
+            , "    r->h[2] = b;"
+            , "    r->h[1] = r->h[2];"
+            , "}"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        errors `shouldSatisfy` (not . null)
+
+    it "handles union member access" $ do
+        nodes <- mustParseNodes
+            [ "union My_Union { int i; float f; };"
+            , "void f(union My_Union *u) { u->i = 1; u->f = 1.0; }"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "reports error for calling a non-function" $ do
+        nodes <- mustParseNodes ["void f() { int x = 1; x(); }"]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        errors `shouldSatisfy` (not . null)
+
+    it "handles nested struct initialization with braces" $ do
+        nodes <- mustParseNodes
+            [ "struct Inner { int x; };"
+            , "struct Outer { struct Inner i; };"
+            , "void f() { struct Outer o = {{0}}; }"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "handles ipv6_mreq initialization with deeply nested braces" $ do
+        nodes <- mustParseNodes ["void f() { struct ipv6_mreq mreq = {{{{0}}}}; }"]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
+
+    it "prevents infinite recursion via occur-check" $ do
+        -- T0 = struct Inner<T0>
+        nodes <- mustParseNodes
+            [ "struct Inner { void *ptr; };"
+            , "void f(struct Inner *i) { i->ptr = i; }"
+            ]
+        let ts = TS.collect [("test.c", nodes)]
+        let (constraints, _, _) = extractConstraints ts "test.c" (Fix (C.Group nodes)) 0 0
+        let errors = solveConstraints ts constraints
+        -- We don't necessarily expect an error here (it's valid C),
+        -- but we MUST NOT timeout.
+        case errors of
+            [] -> return ()
+            _  -> expectationFailure $ T.unpack $ T.unlines $ map (P.renderPlain . (\ei -> P.ppErrorInfo "test.c" ei Nothing)) errors
diff --git a/test/Language/Cimple/Analysis/TypeCheckSpec.hs b/test/Language/Cimple/Analysis/TypeCheckSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeCheckSpec.hs
@@ -0,0 +1,1331 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.TypeCheckSpec (spec) where
+
+import           Data.Text                           (Text)
+import qualified Data.Text                           as T
+import           GHC.Stack                           (HasCallStack)
+import qualified Language.Cimple                     as C
+import           Language.Cimple.Analysis.Errors     (ErrorInfo (..))
+import           Language.Cimple.Analysis.Pretty     (ppErrorInfo, renderPlain)
+import qualified Language.Cimple.Analysis.TypeCheck  as TC
+import           Language.Cimple.Analysis.TypeSystem (Phase (..))
+import           Language.Cimple.Hic.InferenceSpec   (mustParse)
+import           Prettyprinter                       (Doc, defaultLayoutOptions,
+                                                      layoutPretty, unAnnotate)
+import           Prettyprinter.Render.Terminal       (AnsiStyle)
+import           Test.Hspec
+
+shouldHaveError :: HasCallStack => [(FilePath, ErrorInfo 'Local)] -> [Text] -> Expectation
+shouldHaveError errors expectedLines =
+    let actualLines = concatMap (T.lines . (\(path, ei) -> renderPlain (ppErrorInfo path ei Nothing))) errors
+    in actualLines `shouldBe` expectedLines
+
+shouldHaveNoErrors :: HasCallStack => [(FilePath, ErrorInfo 'Local)] -> Expectation
+shouldHaveNoErrors errors =
+    if null errors
+    then return ()
+    else expectationFailure $ T.unpack $ T.unlines $
+            "expected no errors, but got:" :
+            map (\(path, ei) -> renderPlain (ppErrorInfo path ei Nothing)) errors
+
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeCheck" $ do
+    describe "Basic type checking" $ do
+        it "infers types of simple literals" $ do
+            prog <- mustParse ["void f() { int x = 1; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers type of a variable" $ do
+            prog <- mustParse ["void f() { int x = 1; int y = x; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers types of macros used as templates" $ do
+            prog <- mustParse
+                [ "void g(int p);"
+                , "#define CALL_G(x) g(x)"
+                , "void f() { CALL_G(1); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers types of struct member access" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "void f() { struct My_Struct s; s.x = 1; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers types of statement-like macros" $ do
+            prog <- mustParse
+                [ "#define SWAP_INT(x, y) do { int tmp = x; x = y; y = tmp; } while (0)"
+                , "void f() { int a = 1; int b = 2; SWAP_INT(a, b); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports type mismatch in statement-like macros" $ do
+            prog <- mustParse
+                [ "#define SWAP_INT(x, y) do { int tmp = x; x = y; y = tmp; } while (0)"
+                , "void f() { int a = 1; int *b = nullptr; SWAP_INT(a, b); }"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: assignment type mismatch: expected int32_t, got int32_t*"
+                , "  expected int32_t, but got int32_t*"
+                , "  in macro 'SWAP_INT'"
+                , "  in function 'f'"
+                , "test.c:1: assignment type mismatch: expected int32_t*, got int32_t"
+                , "  expected int32_t*, but got int32_t"
+                , "  in macro 'SWAP_INT'"
+                , "  in function 'f'"
+                ]
+
+        it "infers types of comparison operators" $ do
+            prog <- mustParse ["void f() { bool b = (1 == 2); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers types of sizeof expressions" $ do
+            prog <- mustParse ["void f() { int s = sizeof(int); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles function parameters in scope" $ do
+            prog <- mustParse ["void f(int x) { int y = x; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles nullary functions with (void)" $ do
+            prog <- mustParse ["void f(void); void g() { f(); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles templated struct pointer compatibility" $ do
+            prog <- mustParse
+                [ "struct Memory { void *ptr; };"
+                , "void f(struct Memory *m) {"
+                , "    struct Memory *m2 = m;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles templates in nested structures" $ do
+            prog <- mustParse
+                [ "struct Memory { void *ptr; };"
+                , "struct Context { const struct Memory *mem; };"
+                , "void f(struct Context *ctx, const struct Memory *mem) {"
+                , "    ctx->mem = mem;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles forward declared templated structs" $ do
+            prog <- mustParse
+                [ "struct Memory;"
+                , "void f(const struct Memory *m);"
+                , "struct Memory { void *ptr; };"
+                , "void g(struct Memory *m) { f(m); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles structs with multiple void pointers" $ do
+            prog <- mustParse
+                [ "struct Multi { void *a; void *b; };"
+                , "void f(struct Multi *m) {"
+                , "    int x;"
+                , "    float y;"
+                , "    m->a = &x;"
+                , "    m->b = &y;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "does not incorrectly merge independent templates in nested structures" $ do
+            prog <- mustParse
+                [ "struct My_A { void *p; };"
+                , "struct My_B { struct My_A *a; void *q; };"
+                , "void f(struct My_B *b) {"
+                , "    int *i = b->a->p;"
+                , "    float *f = b->q;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles __func__ predefined identifier" $ do
+            prog <- mustParse ["void f() { const char *s = __func__; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles __FILE__ and __LINE__ predefined macros" $ do
+            prog <- mustParse ["void f() { const char *file = __FILE__; uint32_t line = __LINE__; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles enum comparisons" $ do
+            prog <- mustParse
+                [ "typedef enum Color { COLOR_RED, COLOR_GREEN, COLOR_BLUE } Color;"
+                , "void f(Color c) { if (c >= COLOR_GREEN) return; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles nested macro constants with enums" $ do
+            prog <- mustParse
+                [ "typedef enum Level { LVL_INFO, LVL_WARN } Level;"
+                , "#define MIN_LVL LVL_INFO"
+                , "void f(Level l) { if (l >= MIN_LVL) return; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles enum members directly" $ do
+            prog <- mustParse
+                [ "typedef enum Level { LVL_INFO, LVL_WARN } Level;"
+                , "void f() { Level l = LVL_INFO; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles UINT32_C macro" $ do
+            prog <- mustParse ["void f() { uint32_t x = UINT32_C(1); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles LOGGER_WRITE macro pattern" $ do
+            prog <- mustParse
+                [ "typedef enum Logger_Level { LOGGER_LEVEL_DEBUG } Logger_Level;"
+                , "struct Logger { int x; };"
+                , "void logger_write(const struct Logger *log, Logger_Level level, const char *file, uint32_t line, const char *func, const char *format, ...);"
+                , "#define MIN_LOGGER_LEVEL LOGGER_LEVEL_DEBUG"
+                , "#define LOGGER_WRITE(log, level, ...) do { if (level >= MIN_LOGGER_LEVEL) { logger_write(log, level, __FILE__, __LINE__, __func__, __VA_ARGS__); } } while (0)"
+                , "#define LOGGER_DEBUG(log, ...) LOGGER_WRITE(log, LOGGER_LEVEL_DEBUG, __VA_ARGS__)"
+                , "void f(const struct Logger *log) { LOGGER_DEBUG(log, \"test %d\", 1); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles enums" $ do
+            prog <- mustParse
+                [ "typedef enum Color { COLOR_RED, COLOR_GREEN, COLOR_BLUE } Color;"
+                , "void f() { Color c = COLOR_RED; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles static function scope" $ do
+            prog <- mustParse
+                [ "static int g(int x) { return x; }"
+                , "int f() { return g(1); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles struct array access" $ do
+            prog <- mustParse
+                [ "struct DHT_Friend { int client_list[8]; };"
+                , "int f(struct DHT_Friend *dht_friend) { return dht_friend->client_list[0]; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles array compatibility with different integer types" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    char a[8];"
+                , "    char *p = a;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles array-to-pointer decay in function calls" $ do
+            prog <- mustParse
+                [ "void g(char *p);"
+                , "void f() {"
+                , "    char a[8];"
+                , "    g(a);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles typedef of forward-declared struct" $ do
+            prog <- mustParse
+                [ "typedef struct DHT_Friend DHT_Friend;"
+                , "struct DHT_Friend { int x; };"
+                , "int f(DHT_Friend *dht_friend) { return dht_friend->x; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles nested struct member access" $ do
+            prog <- mustParse
+                [ "struct Inner { int y; };"
+                , "struct Outer { struct Inner x; };"
+                , "int f(struct Outer *o) { return o->x.y; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles struct with comments" $ do
+            prog <- mustParse
+                [ "struct Inner {"
+                , "    /* comment */"
+                , "    int y;"
+                , "};"
+                , ""
+                , "struct Outer { struct Inner x; };"
+                , "int f(struct Outer *o) { return o->x.y; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles nested struct with commented field" $ do
+            prog <- mustParse
+                [ "struct Inner { int y; };"
+                , "struct Outer {"
+                , "    /** comment */"
+                , "    struct Inner x;"
+                , "};"
+                , ""
+                , "int f(struct Outer *o) { return o->x.y; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles struct with #ifdef" $ do
+            prog <- mustParse
+                [ "struct Inner { int y; };"
+                , "struct Outer {"
+                , "#ifdef FOO_BAR"
+                , "    struct Inner x;"
+                , "#endif /* FOO_BAR */"
+                , "};"
+                , ""
+                , "int f(struct Outer *o) { return o->x.y; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles typedef of a named struct definition" $ do
+            prog <- mustParse
+                [ "typedef struct My_S { int x; } My_S;"
+                , "int f(My_S *s) { return s->x; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles typedef of forward-declared struct in reverse order" $ do
+            prog <- mustParse
+                [ "struct My_DHT_Friend { int x; };"
+                , "typedef struct My_DHT_Friend My_DHT_Friend;"
+                , "int f(My_DHT_Friend *dht_friend) { return dht_friend->x; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles memeq function with pointers and comparisons" $ do
+            prog <- mustParse
+                [ "bool memeq(uint8_t const *a, size_t a_size, uint8_t const *b, size_t b_size)"
+                , "{"
+                , "    return a_size == b_size && memcmp(a, b, a_size) == 0;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles variadic functions" $ do
+            prog <- mustParse
+                [ "void my_printf(const char *fmt, ...);"
+                , "void f() { my_printf(\"%d %d\", 1, 2); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports too few arguments for variadic functions" $ do
+            prog <- mustParse
+                [ "void my_printf(const char *fmt, ...);"
+                , "void f() { my_printf(); }"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:2: too few arguments in function call: expected 1, got 0"
+                , "  in function 'f'"
+                ]
+
+    describe "BinPack patterns" $ do
+        it "handles bin_pack_array_cb pattern with template inference" $ do
+            prog <- mustParse
+                [ "struct Logger { void *config; };"
+                , "struct Bin_Pack { int x; };"
+                , "typedef bool bin_pack_array_cb(const void *_Nullable arr, uint32_t index, const struct Logger *_Nullable logger, struct Bin_Pack *_Nonnull bp);"
+                , "uint32_t bin_pack_obj_array_b_size(bin_pack_array_cb *_Nonnull callback, const void *_Nullable arr, uint32_t arr_size, const struct Logger *_Nullable logger);"
+                , "static bool bin_pack_node_handler(const void *_Nullable arr, uint32_t index, const struct Logger *_Nullable logger, struct Bin_Pack *_Nonnull bp)"
+                , "{"
+                , "    const int *nodes = (const int *)arr;"
+                , "    return true;"
+                , "}"
+                , "int pack_nodes(const struct Logger *logger, const int *nodes, uint16_t number)"
+                , "{"
+                , "    return bin_pack_obj_array_b_size(bin_pack_node_handler, nodes, number, logger);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Basic expressions" $ do
+        it "reports error for assignment of incompatible types" $ do
+            prog <- mustParse ["void f() { int x; x = \"hello\"; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: assignment type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for arithmetic with incompatible types" $ do
+            prog <- mustParse ["void f() { int x = 1 + \"hello\"; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: initializer type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "infers type of dereferenced pointer" $ do
+            prog <- mustParse ["void f(int *p) { int x = *p; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers type of address-of expression" $ do
+            prog <- mustParse ["void f() { int x = 1; int *p = &x; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Control flow" $ do
+        it "reports error for return type mismatch" $ do
+            prog <- mustParse ["int f() { return \"hello\"; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: return type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for if condition mismatch" $ do
+            prog <- mustParse ["void f() { if (\"hello\") { /* nothing */ } }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: argument 0 type mismatch: expected bool, got char*"
+                , "  expected bool, but got char*"
+                , "  in function 'f'"
+                , "test.c:1: argument 0 type mismatch: expected bool, got char*"
+                , "  expected bool, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for while condition mismatch" $ do
+            prog <- mustParse ["void f() { while (\"hello\") { /* nothing */ } }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: argument 0 type mismatch: expected bool, got char*"
+                , "  expected bool, but got char*"
+                , "  in function 'f'"
+                , "test.c:1: argument 0 type mismatch: expected bool, got char*"
+                , "  expected bool, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "infers types of ternary operator" $ do
+            prog <- mustParse ["void f() { int x = ((1 == 1) ? 1 : 2); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for ternary operator branch mismatch" $ do
+            prog <- mustParse ["void f() { int x = (1 == 1 ? 1 : \"hello\"); }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: type mismatch: expected char*, got int32_t"
+                , "  expected char*, but got int32_t"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for switch condition mismatch" $ do
+            prog <- mustParse ["void f(int *p) { switch (p) { case 1: break; } }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: argument 0 type mismatch: expected int32_t, got int32_t*"
+                , "  expected int32_t, but got int32_t*"
+                , "  in function 'f'"
+                ]
+
+    describe "Logical and Bitwise operators" $ do
+        it "infers types of logical operators" $ do
+            prog <- mustParse ["void f() { bool b = ((1 == 1) && (2 == 2)) || !(1 == 1); }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for logical operator operand mismatch" $ do
+            prog <- mustParse ["void f() { bool b = (1 == 1) && \"hello\"; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: type mismatch: expected bool, got char*"
+                , "  expected bool, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "infers types of bitwise operators" $ do
+            prog <- mustParse ["void f() { int x = (1 & 2) | (3 ^ 4) << 1; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Aggregate types" $ do
+        it "handles union member access" $ do
+            prog <- mustParse
+                [ "union My_Union { int x; float y; };"
+                , "void f() { union My_Union u; u.x = 1; }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for inconsistent types in initializer list" $ do
+            prog <- mustParse ["void f() { int a[2] = { 1, \"hello\" }; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: initializer type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+    describe "Pointers" $ do
+        it "handles pointer arithmetic" $ do
+            prog <- mustParse ["void f(int *p) { int *q = p + 1; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles pointer arithmetic on arrays" $ do
+            prog <- mustParse ["void f() { int a[10]; int *p = a + 1; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles dereferencing arrays" $ do
+            prog <- mustParse ["void f() { int a[10]; int x = *a; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles subtraction of array pointers" $ do
+            prog <- mustParse ["void f() { int a[10]; int *p = a; int *q = a + 5; size_t diff = q - p; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for pointer arithmetic with incompatible types" $ do
+            prog <- mustParse ["void f(int *p) { int *q = p + \"hello\"; }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "handles double pointers" $ do
+            prog <- mustParse ["void f(int **p) { int *q = *p; int x = **p; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Function calls" $ do
+        it "reports error for argument mismatch" $ do
+            prog <- mustParse ["void g(int x); void f() { g(\"hello\"); }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: argument 0 type mismatch: expected int32_t, got char*"
+                , "  expected int32_t, but got char*"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for too many arguments" $ do
+            prog <- mustParse ["void g(int x); void f() { g(1, 2); }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: too many arguments in function call: expected 1, got 2"
+                , "  in function 'f'"
+                ]
+
+
+    describe "unsoundness and C compatibility" $ do
+        it "allows memcmp result to be compared with 0 (necessary unsoundness)" $ do
+            prog <- mustParse
+                [ "void *memcpy(void *dest, const void *src, size_t n);"
+                , "int memcmp(const void *s1, const void *s2, size_t n);"
+                , "void f(int *a, int *b, size_t n) {"
+                , "    if (memcmp(a, b, n) == 0) { memcpy(a, b, n); }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "demonstrates unsoundness: optimistic narrowing of variable to constant" $ do
+            -- See OrderedSolverSpec.hs for a detailed explanation of this
+            -- documented unsoundness. In short: we allow 'Builtin <: Singleton'
+            -- to support standard C comparisons (e.g. 'res == 0'), which allows
+            -- variables in comparisons to be unsoundly fixed to constants.
+            prog <- mustParse
+                [ "void set(void *a[2], int *pi, float *pf) {"
+                , "    a[0] = pi;"
+                , "    a[1] = pf;"
+                , "}"
+                , "void f(void **a, int i, int *p) {"
+                , "    if (i == 0) { return; }"
+                , "    *(a + i) = p;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "void* template inference" $ do
+        it "allows memcpy with matching pointer types" $ do
+            prog <- mustParse
+                [ "void *memcpy(void *dest, const void *src, size_t n);"
+                , "void f(int *a, int *b) { memcpy(a, b, sizeof(int)); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for memcpy with mismatching pointer types" $ do
+            prog <- mustParse ["void f(int *a, float *b, uint32_t n) { memcpy(a, b, n); }"]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: argument 1 type mismatch: expected int32_t const*, got float*"
+                , "  while checking pointer target of P0(T):inst:0 const* and float*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'f'"
+                , ""
+                , "  where template P0(T):inst:0 was bound to int32_t due to argument 0 type mismatch: expected P0(T):inst:0, got int32_t"
+                ]
+
+        it "infers parameter type from cast in function body" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "void f(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    f(&s);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error when passing wrong type to inferred templated function" $ do
+            prog <- mustParse
+                [ "void f(void *p) { int *x = (int *)p; }"
+                , "struct My_Struct { int x; };"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    f(&s);"
+                , "    int y = 1;"
+                , "    f(&y);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:5: argument 0 type mismatch: expected int32_t*, got struct My_Struct* nonnull"
+                , "  while checking pointer target of int32_t* and struct My_Struct*:"
+                , "    expected int32_t, but got struct My_Struct"
+                , "  in function 'g'"
+                ]
+
+        it "reports error for incompatible casts of the same void * pointer" $ do
+            prog <- mustParse
+                [ "struct My_A { int x; };"
+                , "struct My_B { float y; };"
+                , "void f(void *p) {"
+                , "    struct My_A *a = (struct My_A *)p;"
+                , "    struct My_B *b = (struct My_B *)p;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:5: initializer type mismatch: expected struct My_B*, got struct My_A*"
+                , "  while checking pointer target of struct My_B* and T1*:"
+                , "    expected struct My_B, but got struct My_A"
+                , "  in function 'f'"
+                , ""
+                , "  where template T1 was bound to struct My_A due to initializer type mismatch: expected T1, got struct My_A"
+                ]
+
+        it "handles templated typedefs and callback registration" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "typedef void cb_cb(void *obj);"
+                , "void register_callback(cb_cb *f, void *obj);"
+                , "void my_handler(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    struct My_Struct s;"
+                , "    register_callback(my_handler, &s);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "allows assigning an inferred callback to a _Nullable callback pointer" $ do
+            prog <- mustParse
+                [ "typedef void my_cb(void *userdata);"
+                , "struct My_Handler {"
+                , "    my_cb *_Nullable callback;"
+                , "    void *userdata;"
+                , "};"
+                , "void my_handler(void *userdata) {"
+                , "    int *p = (int *)userdata;"
+                , "}"
+                , "void f(struct My_Handler *h, int *p) {"
+                , "    h->callback = my_handler;"
+                , "    h->userdata = p;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for mismatched callback and userdata in registry" $ do
+            pendingWith "Known issue with registry mismatch"
+            prog <- mustParse
+                [ "typedef void my_cb(void *obj);"
+                , "struct My_Handler { my_cb *f; void *o; };"
+                , "struct Registry { struct My_Handler h[2]; };"
+                , "void set(struct Registry *r, int i, void *o) { r->h[i].o = o; }"
+                , "void call(struct Registry *r, int i) { r->h[i].f(r->h[i].o); }"
+                , "void handler(void *obj) { int *x = (int *)obj; }"
+                , "void f(struct Registry *r, float *p) {"
+                , "    set(r, 0, p);"
+                , "    r->h[0].f = &handler;"
+                , "    call(r, 0);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:10: argument 0 type mismatch: expected int32_t, got float"
+                , "  while unifying int32_t and float (argument 0)"
+                , "  while unifying int32_t* and float* obj (argument 0)"
+                , "  while unifying void(float* obj) and void(int32_t*) (argument 0)"
+                , "  while unifying my_cb<float> and void(int32_t*) (argument 0)"
+                , "  while unifying my_cb<float>* and void(int32_t*)* (argument 0)"
+                , "  while unifying T18 and nonnull void(handler_T7*)* (argument 0)"
+                , "  in function 'f'"
+                , ""
+                , "  where template T18 was bound to my_cb<float>* due to type mismatch: expected T18, got my_cb<float>*"
+                , "        template handler_T7 was bound to T16 due to type mismatch: expected handler_T7, got T16"
+                , "        template T16 was bound to int32_t due to initializer type mismatch: expected T16, got int32_t"
+                ]
+
+        it "handles passing a _Nullable callback to another function" $ do
+            prog <- mustParse
+                [ "typedef void my_cb(void *userdata);"
+                , "void g(my_cb *_Nullable callback, void *userdata) {"
+                , "    if (callback != nullptr) { callback(userdata); }"
+                , "}"
+                , "void f(my_cb *_Nullable callback, void *userdata) {"
+                , "    g(callback, userdata);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for mismatched callback and userdata" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "typedef void cb_cb(void *obj);"
+                , "void register_callback(cb_cb *f, void *obj) { f(obj); }"
+                , "void my_handler(void *obj) { struct My_Struct *s = (struct My_Struct *)obj; }"
+                , "void g() {"
+                , "    int x;"
+                , "    register_callback(my_handler, &x);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:7: argument 1 type mismatch: expected struct My_Struct*, got int32_t* nonnull"
+                , "  while checking pointer target of struct My_Struct* and int32_t*:"
+                , "    expected struct My_Struct, but got int32_t"
+                , "  in function 'g'"
+                , ""
+                , "  where template P0(obj):inst:1 was bound to struct My_Struct due to argument 0 type mismatch: expected P0(obj):inst:1, got struct My_Struct"
+                ]
+
+        it "supports heterogeneous arrays of callbacks" $ do
+            prog <- mustParse
+                [ "typedef void dht_ip_cb(void *userdata);"
+                , "struct Callback_Slot {"
+                , "    dht_ip_cb *_Nullable callback;"
+                , "    void *userdata;"
+                , "};"
+                , "struct DHT_Friend {"
+                , "    struct Callback_Slot slots[10];"
+                , "};"
+                , "void h1(void *userdata) { int *x = (int *)userdata; }"
+                , "void h2(void *userdata) { float *x = (float *)userdata; }"
+                , "void f(struct DHT_Friend *f, int *p1, float *p2) {"
+                , "    f->slots[0].callback = h1;"
+                , "    f->slots[0].userdata = p1;"
+                , "    f->slots[1].callback = h2;"
+                , "    f->slots[1].userdata = p2;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "repro template count mismatch in struct member" $ do
+            prog <- mustParse
+                [ "struct Logger {"
+                , "    logger_cb *callback;"
+                , "};"
+                , ""
+                , "typedef void logger_cb(void *context);"
+                , ""
+                , "void h(void *context) {"
+                , "    int *x = (int *)context;"
+                , "}"
+                , ""
+                , "void g(logger_cb *cb) {"
+                , "    struct Logger l;"
+                , "    l.callback = cb;"
+                , "}"
+                , ""
+                , "void f(struct Logger *log) {"
+                , "    log->callback = h;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "infers template type for structs with void* members" $ do
+            prog <- mustParse
+                [ "struct My_S { void *data; };"
+                , "void set_data(struct My_S *s, void *d) { s->data = d; }"
+                , "void f() {"
+                , "    struct My_S s;"
+                , "    int x;"
+                , "    set_data(&s, &x);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error when using a templated struct with incompatible types" $ do
+            prog <- mustParse
+                [ "struct Memory { void *ptr; };"
+                , "void g(struct Memory *m, int *p) { m->ptr = p; }"
+                , "void f() {"
+                , "    struct Memory m;"
+                , "    int x;"
+                , "    float y;"
+                , "    g(&m, &x);"
+                , "    g(&m, &y);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:8: argument 1 type mismatch: expected int32_t*, got float* nonnull"
+                , "  while checking pointer target of int32_t* and float*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'f'"
+                ]
+
+        it "handles Tox<T> global inference pattern" $ do
+            prog <- mustParse
+                [ "struct Tox { void *userdata; };"
+                , "typedef void tox_cb(struct Tox *tox, void *userdata);"
+                , "void tox_callback(struct Tox *tox, tox_cb *cb);"
+                , "struct My_Data { int x; };"
+                , "void tox_handler(struct Tox *tox, void *userdata) {"
+                , "    struct My_Data *d = (struct My_Data *)userdata;"
+                , "}"
+                , "void f() {"
+                , "    struct Tox *tox;"
+                , "    struct My_Data d;"
+                , "    tox_callback(tox, tox_handler);"
+                , "    tox->userdata = &d;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for Tox<T> when userdata is inconsistent" $ do
+            prog <- mustParse
+                [ "struct Tox { void *userdata; };"
+                , "typedef void tox_cb(struct Tox *tox, void *userdata);"
+                , "void tox_callback(struct Tox *tox, tox_cb *cb);"
+                , "struct My_Data { int x; };"
+                , "void tox_handler(struct Tox *tox, void *userdata) {"
+                , "    struct My_Data *d = (struct My_Data *)userdata;"
+                , "}"
+                , "void f() {"
+                , "    struct Tox tox;"
+                , "    struct My_Data d;"
+                , "    tox_callback(&tox, &tox_handler);"
+                , "    int x;"
+                , "    tox.userdata = &x;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:13: assignment type mismatch: expected struct My_Data*, got int32_t* nonnull"
+                , "  while checking pointer target of struct My_Data* and int32_t*:"
+                , "    expected struct My_Data, but got int32_t"
+                , "  in function 'f'"
+                , ""
+                , "  where template T12 was bound to struct My_Data* due to type mismatch: expected T12, got struct My_Data*"
+                ]
+
+        it "handles polymorphic sort-like function with multiple different callbacks" $ do
+            prog <- mustParse
+                [ "typedef int compare_cb(const void *a, const void *b);"
+                , "void qsort(void *base, int nmemb, int size, compare_cb *compar) {"
+                , "    compar(base, base);"
+                , "}"
+                , "int compare_int(const void *a, const void *b) {"
+                , "    const int *ia = (const int *)a;"
+                , "    const int *ib = (const int *)b;"
+                , "    if (*ia < *ib) return -1;"
+                , "    if (*ia > *ib) return 1;"
+                , "    return 0;"
+                , "}"
+                , "int compare_float(const void *a, const void *b) {"
+                , "    float const *fa = (float const *)a;"
+                , "    float const *fb = (float const *)b;"
+                , "    if (*fa < *fb) return -1;"
+                , "    if (*fa > *fb) return 1;"
+                , "    return 0;"
+                , "}"
+                , "void f() {"
+                , "    int ia[10];"
+                , "    qsort(ia, 10, sizeof(int), compare_int);"
+                , "    float fa[10];"
+                , "    qsort(fa, 10, sizeof(float), compare_float);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for polymorphic sort when callback and data mismatch" $ do
+            prog <- mustParse
+                [ "typedef int compare_cb(const void *a, const void *b);"
+                , "void sort(void *base, uint32_t nmemb, uint32_t size, compare_cb *compar);"
+                , "int compare_int(const int *a, const int *b) { return (*a - *b); }"
+                , "void f() {"
+                , "    float arr[10];"
+                , "    sort(arr, 10, sizeof(float), compare_int);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:6: argument 3 type mismatch: expected compare_cb<float, float>*, got int32_t(int32_t const*, int32_t const*)"
+                , "  while checking parameter 0 of int32_t(float const* a, float const* b) and int32_t(int32_t const*, int32_t const*):"
+                , "    while checking pointer target of int32_t const* and float const*:"
+                , "      expected int32_t, but got float"
+                , "  in function 'f'"
+                , ""
+                , "  where template P0(sort):inst:0 was bound to float due to argument 0 type mismatch: expected P0(sort):inst:0, got float"
+                , "test.c:6: type mismatch: expected int32_t const*, got float"
+                , "  while checking pointer target of int32_t const* and float:"
+                , "    expected int32_t, but got float"
+                , "  in function 'f'"
+                ]
+
+        it "reports error for mismatching types in nested polymorphic calls" $ do
+            prog <- mustParse
+                [ "void h(int *p) { int *x = 0; p = x; }"
+                , "void g(int **pp, float f) { h(*pp); *pp = &f; }"
+                , "void f(int **pp, float f) { g(pp, f); }"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:1: initializer type mismatch: expected int32_t*, got int32_t=0"
+                , "  expected int32_t*, but got int32_t=0"
+                , "  in function 'h'"
+                , "test.c:2: assignment type mismatch: expected int32_t*, got float* nonnull"
+                , "  while checking pointer target of int32_t* and float*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'g'"
+                ]
+
+        it "handles multiple void* parameters with same inference" $ do
+            prog <- mustParse
+                [ "void g(void *a, void *b) { a = b; }"
+                , "void f() {"
+                , "    int x;"
+                , "    float y;"
+                , "    int *px = &x;"
+                , "    float *py = &y;"
+                , "    g(px, px);"
+                , "    g(px, py);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:8: argument 1 type mismatch: expected int32_t*, got float*"
+                , "  while checking pointer target of P0:inst:1* and float*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'f'"
+                , ""
+                , "  where template P0:inst:1 was bound to int32_t due to argument 0 type mismatch: expected P0:inst:1, got int32_t"
+                ]
+
+        it "infers polymorphic type through nested structs" $ do
+            prog <- mustParse
+                [ "struct Inner { void *ptr; };"
+                , "struct Outer { struct Inner inner; };"
+                , "void h(struct Inner *i, int *p) { i->ptr = p; }"
+                , "void g(struct Outer *o, float *f) {"
+                , "    h(&o->inner, f);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:5: argument 1 type mismatch: expected int32_t*, got float*"
+                , "  while checking pointer target of int32_t* and float*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'g'"
+                ]
+
+        it "infers polymorphic type from function return value" $ do
+            prog <- mustParse
+                [ "void *identity(void *p) { return p; }"
+                , "void f(int *p) {"
+                , "    float *fp = identity(p);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:3: argument 0 type mismatch: expected float*, got int32_t*"
+                , "  while checking pointer target of float* and int32_t*:"
+                , "    expected float, but got int32_t"
+                , "  in function 'f'"
+                ]
+
+    describe "Recursion" $ do
+        it "handles simple recursion" $ do
+            prog <- mustParse
+                [ "int factorial(int n) {"
+                , "    if (n <= 1) return 1;"
+                , "    return n * factorial(n - 1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles mutual recursion" $ do
+            prog <- mustParse
+                [ "bool is_even(int n);"
+                , "bool is_odd(int n) {"
+                , "    if (n == 0) return false;"
+                , "    return is_even(n - 1);"
+                , "}"
+                , "bool is_even(int n) {"
+                , "    if (n == 0) return true;"
+                , "    return is_odd(n - 1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for polymorphic recursion mismatch" $ do
+            prog <- mustParse
+                [ "struct List { void *data; struct List *next; };"
+                , "void process_list(struct List *l) {"
+                , "    if (!l) return;"
+                , "    int *x = l->data;"
+                , "    float *y = l->next->data;"
+                , "    process_list(l->next);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:5: initializer type mismatch: expected float*, got int32_t*"
+                , "  while checking pointer target of float* and T6:"
+                , "    expected float, but got int32_t"
+                , "  in function 'process_list'"
+                , ""
+                , "  where template T6 was bound to int32_t* due to type mismatch: expected T6, got int32_t*"
+                ]
+
+        it "infers polymorphic type through multiple recursive calls" $ do
+            prog <- mustParse
+                [ "void h(void *p) { h(p); }"
+                , "void g(void *p) { h(p); }"
+                , "void f() {"
+                , "    int x;"
+                , "    float y;"
+                , "    int *px = &x;"
+                , "    float *py = &y;"
+                , "    g(px);"
+                , "    g(py);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Qualifiers and Custom Keywords" $ do
+        it "reports error when assigning const to non-const" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    const int x = 1;"
+                , "    int *p;"
+                , "    p = &x;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:4: assignment type mismatch: expected int32_t*, got int32_t const* nonnull"
+                , "  while checking pointer target of int32_t* and int32_t const*:"
+                , "    actual type is missing const qualifier"
+                , "  in function 'f'"
+                ]
+
+        it "allows assigning non-const to const" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    int x = 1;"
+                , "    const int *p = &x;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for _Nonnull pointer assigned nullptr" $ do
+            prog <- mustParse
+                [ "void f(int * _Nonnull p);"
+                , "void g() { f(nullptr); }"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:2: argument 0 type mismatch: expected int32_t* nonnull, got nullptr_t"
+                , "  actual type is missing nonnull qualifier"
+                , "  in function 'g'"
+                ]
+
+        it "allows _Nullable pointer assigned nullptr" $ do
+            prog <- mustParse
+                [ "void f(int * _Nullable p);"
+                , "void g() { f(nullptr); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles owner qualifier in assignments" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    int * owner p = nullptr;"
+                , "    int *q = p;"
+                , "    return;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Const correctness" $ do
+        it "allows assigning const int to int (copy)" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    const int x = 1;"
+                , "    int y = x;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error when assigning const int* to int* (pointer)" $ do
+            prog <- mustParse
+                [ "void f(const int *p) {"
+                , "    int *q = p;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:2: initializer type mismatch: expected int32_t*, got int32_t const*"
+                , "  while checking pointer target of int32_t* and int32_t const*:"
+                , "    actual type is missing const qualifier"
+                , "  in function 'f'"
+                ]
+
+    describe "Complex Patterns" $ do
+        it "handles array of function pointers" $ do
+            prog <- mustParse
+                [ "typedef void worker_cb(int x);"
+                , "void task1(int x) { return; }"
+                , "void task2(int x) { return; }"
+                , "void f() {"
+                , "    worker_cb *workers[2];"
+                , "    workers[0] = task1;"
+                , "    workers[1] = task2;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error for mismatch in array of function pointers" $ do
+            prog <- mustParse
+                [ "typedef void worker_cb(int x);"
+                , "void h1(int x) { /* */ }"
+                , "void h2(float x) { /* */ }"
+                , "void f() {"
+                , "    worker_cb *workers[2];"
+                , "    workers[0] = &h1;"
+                , "    workers[1] = &h2;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:7: assignment type mismatch: expected worker_cb*, got void(float)* nonnull"
+                , "  while checking pointer target of worker_cb* and void(float)*:"
+                , "    while checking parameter 0 of void(int32_t x) and void(float):"
+                , "      expected float, but got int32_t"
+                , "  in function 'f'"
+                ]
+
+        it "handles calling a non-null function pointer" $ do
+            prog <- mustParse
+                [ "typedef int callback_cb(int x);"
+                , "void f(callback_cb *_Nonnull callback) {"
+                , "    callback(1);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles function pointers with wrappers unified with typedefs" $ do
+            prog <- mustParse
+                [ "typedef int callback_cb(void *_Nullable obj);"
+                , "void register_callback(callback_cb *_Nullable cb);"
+                , "int my_handler(void *_Nonnull obj) { return 0; }"
+                , "void f() { register_callback(&my_handler); }"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:4: argument 0 type mismatch: expected callback_cb<P0(register_callback):inst:0>* nullable, got int32_t(T4* nonnull)* nonnull"
+                , "  while checking pointer target of callback_cb<P0(register_callback):inst:0>* and int32_t(T4* nonnull)*:"
+                , "    while checking parameter 0 of int32_t(P0(register_callback):inst:0* nullable obj) and int32_t(T4* nonnull):"
+                , "      actual type is missing nonnull qualifier"
+                , "  in function 'f'"
+                , ""
+                , "  where template P0(register_callback):inst:0 is unbound"
+                , "        template T2(my_handler) was bound to T4 due to type mismatch: expected T2(my_handler), got T4"
+                , "        template T4 is unbound"
+                ]
+
+        it "successfully solves polymorphic callbacks with consistent nullability" $ do
+            prog <- mustParse
+                [ "typedef struct IP_Port IP_Port;"
+                , "typedef struct Networking_Core Networking_Core;"
+                , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+                , "struct Packet_Handler { packet_handler_cb *function; void *object; };"
+                , "typedef struct Packet_Handler Packet_Handler;"
+                , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+                , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+                , "    net->packethandlers[byte].function = cb;"
+                , "    net->packethandlers[byte].object = object;"
+                , "}"
+                , "typedef struct Net_Crypto Net_Crypto;"
+                , "struct Net_Crypto { int x; };"
+                , "static int udp_handle_cookie_request(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+                , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+                , "    return 0;"
+                , "}"
+                , "void f(Networking_Core *_Nonnull net, Net_Crypto *_Nonnull temp) {"
+                , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles polymorphic callbacks with _Nonnull/_Nullable divergence" $ do
+            prog <- mustParse
+                [ "typedef struct IP_Port IP_Port;"
+                , "typedef struct Networking_Core Networking_Core;"
+                , "typedef int packet_handler_cb(void *_Nullable object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata);"
+                , "struct Packet_Handler { packet_handler_cb *function; void *object; };"
+                , "typedef struct Packet_Handler Packet_Handler;"
+                , "struct Networking_Core { Packet_Handler packethandlers[256]; };"
+                , "void networking_registerhandler(Networking_Core *_Nonnull net, uint8_t byte, packet_handler_cb *_Nullable cb, void *_Nullable object) {"
+                , "    net->packethandlers[byte].function = cb;"
+                , "    net->packethandlers[byte].object = object;"
+                , "}"
+                , "typedef struct Net_Crypto Net_Crypto;"
+                , "struct Net_Crypto { int x; };"
+                , "static int udp_handle_cookie_request(void *_Nonnull object, const IP_Port *_Nonnull source, uint8_t const *_Nonnull packet, uint16_t length, void *_Nullable userdata) {"
+                , "    const Net_Crypto *c = (const Net_Crypto *)object;"
+                , "    return 0;"
+                , "}"
+                , "void f(Networking_Core *_Nonnull net, Net_Crypto *_Nonnull temp) {"
+                , "    networking_registerhandler(net, 1, &udp_handle_cookie_request, temp);"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:18: argument 2 type mismatch: expected packet_handler_cb<struct Net_Crypto, struct Net_Crypto>* nullable, got int32_t(struct Net_Crypto* nonnull, struct IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, struct Net_Crypto* nullable)* nonnull"
+                , "  while checking pointer target of packet_handler_cb<struct Net_Crypto, struct Net_Crypto>* and int32_t(struct Net_Crypto* nonnull, struct IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, struct Net_Crypto* nullable)*:"
+                , "    while checking parameter 0 of int32_t(struct Net_Crypto* nullable object, IP_Port const* nonnull source, uint8_t const* nonnull packet, uint16_t length, struct Net_Crypto* nullable userdata) and int32_t(struct Net_Crypto* nonnull, struct IP_Port const* nonnull, uint8_t const* nonnull, uint16_t, struct Net_Crypto* nullable):"
+                , "      actual type is missing nonnull qualifier"
+                , "  in function 'f'"
+                , ""
+                , "  where template P0(object):inst:0[uint8_t] was bound to struct Net_Crypto due to argument 3 type mismatch: expected P0(object):inst:0[uint8_t], got struct Net_Crypto"
+                , "        template P0(userdata):inst:0[uint8_t] was bound to struct Net_Crypto due to argument 2 type mismatch: expected P0(userdata):inst:0[uint8_t], got T32"
+                , "        template T16(udp_handle_cookie_request) was bound to struct Net_Crypto due to type mismatch: expected T16(udp_handle_cookie_request), got T31"
+                , "        template T17(udp_handle_cookie_request) was bound to struct Net_Crypto due to type mismatch: expected T17(udp_handle_cookie_request), got T32"
+                ]
+
+        it "handles member access on a _Nonnull pointer" $ do
+            prog <- mustParse
+                [ "struct My_Struct { int x; };"
+                , "void f(struct My_Struct *_Nonnull p) {"
+                , "    p->x = 1;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+    describe "Networking types" $ do
+        it "handles sockaddr_in to sockaddr* implicit conversion" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct sockaddr_in saddr = {0};"
+                , "    int s = socket(2, 1, 0);"
+                , "    bind(s, (const struct sockaddr *)&saddr, sizeof(saddr));"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles sockaddr_in6 to sockaddr* implicit conversion" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct sockaddr_in6 saddr = {0};"
+                , "    int s = socket(10, 1, 0);"
+                , "    connect(s, (const struct sockaddr *)&saddr, sizeof(saddr));"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles sockaddr_storage compatibility" $ do
+            prog <- mustParse
+                [ "void f(int s) {"
+                , "    struct sockaddr_storage addr;"
+                , "    socklen_t len = sizeof(addr);"
+                , "    getsockopt(s, 0, 0, &addr, &len);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles Windows-specific WSAStartup and MAKEWORD" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    WSADATA wsaData;"
+                , "    WSAStartup(MAKEWORD(2, 2), &wsaData);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles WSAAddressToString and LPSOCKADDR" $ do
+            prog <- mustParse
+                [ "void f(struct sockaddr_in *saddr) {"
+                , "    char buf[64];"
+                , "    DWORD len = 64;"
+                , "    WSAAddressToString((LPSOCKADDR)saddr, sizeof(*saddr), nullptr, buf, &len);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles LPTSTR casts" $ do
+            prog <- mustParse
+                [ "void f(const char *s) {"
+                , "    LPTSTR s2 = (LPTSTR)s;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles implicit conversion from int to bool in networking error checks" $ do
+            prog <- mustParse
+                [ "void f(int s) {"
+                , "    struct sockaddr_in saddr = {0};"
+                , "    if (bind(s, (struct sockaddr *)&saddr, sizeof(saddr)) == -1) {"
+                , "        /* error handling */"
+                , "    }"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles inet_ntop and inet_pton with void* templates" $ do
+            prog <- mustParse
+                [ "void f(struct in_addr *addr) {"
+                , "    char buf[16];"
+                , "    inet_ntop(2, addr, buf, 16);"
+                , "    inet_pton(2, \"127.0.0.1\", addr);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles addrinfo structure and getaddrinfo" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    struct addrinfo hints = {0};"
+                , "    struct addrinfo *res;"
+                , "    getaddrinfo(\"localhost\", \"80\", &hints, &res);"
+                , "    freeaddrinfo(res);"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles errno as a built-in variable" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    int err = errno;"
+                , "    errno = 0;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles structure member access for networking types" $ do
+            prog <- mustParse
+                [ "void f(struct sockaddr_in *saddr) {"
+                , "    saddr->sin_family = 2;"
+                , "    saddr->sin_port = 80;"
+                , "    saddr->sin_addr.s_addr = 0;"
+                , "}"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles ipv6_mreq initialization" $ do
+            prog <- mustParse ["void f() { struct ipv6_mreq mreq = {{{{0}}}}; }"]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "handles dereferencing function call result" $ do
+            prog <- mustParse
+                [ "typedef struct My_Struct { int x; } My_Struct;"
+                , "const My_Struct *get_s(int i) { return nullptr; }"
+                , "void f() { const My_Struct s_var = *get_s(1); }"
+                ]
+            shouldHaveNoErrors $ TC.typeCheckProgram prog
+
+        it "reports error with inference chain for template conflict" $ do
+            prog <- mustParse
+                [ "void f(void *a, void *b) {"
+                , "    int *ia = (int *)a;"
+                , "    float *fb = (float *)b;"
+                , "    a = b;"
+                , "}"
+                ]
+            TC.typeCheckProgram prog `shouldHaveError`
+                [ "test.c:4: assignment type mismatch: expected int32_t*, got float*"
+                , "  while checking pointer target of T2* and T3*:"
+                , "    expected int32_t, but got float"
+                , "  in function 'f'"
+                , ""
+                , "  where template T2 was bound to int32_t due to initializer type mismatch: expected T2, got int32_t"
+                , "        template T3 was bound to float due to initializer type mismatch: expected T3, got float"
+                ]
+
+-- end of tests
diff --git a/test/Language/Cimple/Analysis/TypeSystem/AlgebraicSolverSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/AlgebraicSolverSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/AlgebraicSolverSpec.hs
@@ -0,0 +1,159 @@
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TupleSections       #-}
+module Language.Cimple.Analysis.TypeSystem.AlgebraicSolverSpec (spec) where
+
+import           Data.Map.Strict                                     (Map)
+import qualified Data.Map.Strict                                     as Map
+import           Data.Set                                            (Set)
+import qualified Data.Set                                            as Set
+import qualified Debug.Trace                                         as Debug
+import           Language.Cimple.Analysis.TypeSystem.AlgebraicSolver
+import           Test.Hspec
+import           Test.QuickCheck
+
+-- | A more powerful expression language representing:
+--   max(constant, var1 + k1, var2 + k2, ...)
+-- This can represent chains of dependencies like X = Y + 1 (e.g. X is Pointer to Y).
+-- We cap the value at 10 to ensure the lattice is finite.
+data Expr var = Expr
+    { eConst :: Int
+    , eVars  :: Map var Int -- variable -> increment
+    } deriving (Show, Eq, Ord)
+
+-- | Evaluate an expression with a set of variable bindings.
+eval :: Ord var => Map var Int -> Expr var -> Int
+eval m (Expr c vs) =
+    let varVals = [ Map.findWithDefault 0 v m + k | (v, k) <- Map.toList vs ]
+    in min 10 $ foldl max c varVals
+
+-- | Substitute a variable with another expression.
+substitute :: Ord var => var -> Expr var -> Expr var -> Expr var
+substitute v v_star expr = simplify $ case Map.lookup v (eVars expr) of
+    Nothing -> expr
+    Just k  ->
+        let c_new = max (eConst expr) (eConst v_star + k)
+            vs_base = Map.delete v (eVars expr)
+            vs_new = Map.foldrWithKey (\v' k' acc -> Map.insertWith max v' (min 10 (k' + k)) acc) vs_base (eVars v_star)
+        in Expr c_new vs_new
+
+-- | Simplify an expression.
+simplify :: Expr var -> Expr var
+simplify (Expr c vs) =
+    let c' = min 10 c
+        maxK = if Map.null vs then 0 else maximum (Map.elems vs)
+    in if c' >= 10 || maxK >= 10
+       then Expr 10 Map.empty
+       else Expr c' vs
+
+-- | Find the least fixed point of v = expr.
+findLFP :: Ord var => var -> Expr var -> Expr var
+findLFP v expr = simplify $
+    case Map.lookup v (eVars expr) of
+        Just k | k > 0 -> Expr 10 Map.empty
+        _              -> Expr (eConst expr) (Map.delete v (eVars expr))
+
+-- | Join two expressions.
+merge :: Ord var => Expr var -> Expr var -> Expr var
+merge e1 e2 =
+    let res = Expr (max (eConst e1) (eConst e2)) (Map.unionWith max (eVars e1) (eVars e2))
+    in simplify res
+
+spec :: Spec
+spec = do
+    describe "AlgebraicSolver (Advanced)" $ do
+        it "solves a simple identity X = 5" $ do
+            let eqns = Map.singleton ("X" :: String) (Set.singleton (Expr 5 Map.empty))
+                res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+            fmap (eval Map.empty) (Map.lookup "X" res) `shouldBe` Just 5
+
+        it "solves a simple cycle X = X + 1, X = 2" $ do
+            let eqns = Map.singleton ("X" :: String) (Set.fromList [Expr 0 (Map.singleton "X" 1), Expr 2 Map.empty])
+                res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+            -- X = max(X+1, 2) hits the ceiling
+            fmap (eval Map.empty) (Map.lookup "X" res) `shouldBe` Just 10
+
+        it "solves mutual recursion X = Y + 1, Y = X, X = 5" $ do
+            let eqns = Map.fromList
+                    [ ("X" :: String, Set.fromList [Expr 0 (Map.singleton "Y" 1), Expr 5 Map.empty])
+                    , ("Y", Set.singleton (Expr 0 (Map.singleton "X" 0)))
+                    ]
+                res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+            -- X = max(X+1, 5) hits the ceiling
+            fmap (eval Map.empty) (Map.lookup "X" res) `shouldBe` Just 10
+            fmap (eval Map.empty) (Map.lookup "Y" res) `shouldBe` Just 10
+
+        it "solves a complex chain X = Y + 1, Y = Z + 1, Z = 2" $ do
+            let eqns = Map.fromList
+                    [ ("X" :: String, Set.singleton (Expr 0 (Map.singleton "Y" 1)))
+                    , ("Y", Set.singleton (Expr 0 (Map.singleton "Z" 1)))
+                    , ("Z", Set.singleton (Expr 2 Map.empty))
+                    ]
+                res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+            fmap (eval Map.empty) (Map.lookup "X" res) `shouldBe` Just 4
+            fmap (eval Map.empty) (Map.lookup "Y" res) `shouldBe` Just 3
+            fmap (eval Map.empty) (Map.lookup "Z" res) `shouldBe` Just 2
+
+        it "solves the previously failing QuickCheck case" $ do
+            let eqns = Map.fromList
+                    [ (1 :: Int, Set.fromList [Expr 0 Map.empty, Expr 0 (Map.fromList [(2,1),(3,0)]), Expr 6 (Map.fromList [(2,0)]), Expr 8 Map.empty])
+                    , (2, Set.fromList [Expr 0 Map.empty, Expr 8 Map.empty, Expr 9 Map.empty, Expr 10 Map.empty])
+                    , (3, Set.fromList [Expr 1 Map.empty, Expr 2 (Map.fromList [(1,1)]), Expr 7 (Map.fromList [(1,1),(3,1)]), Expr 8 Map.empty])
+                    ]
+                res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+                resVals = Map.map (eval Map.empty) res
+            resVals `shouldBe` Map.fromList [(1,10),(2,10),(3,10)]
+
+        it "satisfies the fixed-point property (QuickCheck)" $ property $ \(Positive (n :: Int)) ->
+            -- Generate a random system of equations over n variables.
+            let n' = n `mod` 10 + 1
+                vars = [1..n']
+                genExpr :: Gen (Expr Int)
+                genExpr = do
+                    c <- choose (0, 10)
+                    numVars <- choose (0, 2)
+                    vs <- vectorOf numVars ((,) <$> elements vars <*> choose (0, 2))
+                    return $ simplify $ Expr c (Map.fromList vs)
+                genEqns = Map.fromList <$> (mapM (\v -> (v,) . Set.fromList <$> listOf1 genExpr) vars)
+            in forAll genEqns $ \eqns ->
+                let res = solveSCC substitute findLFP merge (Expr 0 Map.empty) eqns
+                    resVals = Map.map (eval Map.empty) res
+                    check v requirements =
+                        let expected = foldl max 0 (map (eval resVals) (Set.toList requirements))
+                        in Map.lookup v resVals == Just expected
+
+                    -- Simple iterative solver to find the LFP.
+                    solveIterative current =
+                        let next = Map.map (\reqs -> foldl max 0 (map (eval current) (Set.toList reqs))) eqns
+                        in if next == current then current else solveIterative next
+                    lfpVals = solveIterative (Map.fromSet (const 0) (Map.keysSet eqns))
+                in counterexample ("res: " ++ show res ++ "\nresVals: " ++ show resVals ++ "\nlfpVals: " ++ show lfpVals ++ "\neqns: " ++ show eqns) $
+                   all (uncurry check) (Map.toList eqns) && resVals == lfpVals
+
+        it "verifies substitute is consistent with eval" $ property $ \v (Positive (n :: Int)) ->
+            let vars = [1..n `mod` 10 + 1]
+                genExpr = do
+                    c <- choose (0, 10)
+                    numVars <- choose (0, 2)
+                    vs <- vectorOf numVars ((,) <$> elements vars <*> choose (0, 2))
+                    return $ simplify $ Expr c (Map.fromList vs)
+            in forAll ((,,) <$> genExpr <*> genExpr <*> (Map.fromList <$> vectorOf (length vars) ((,) <$> elements vars <*> choose (0, 10)))) $ \(v_star, expr, env) ->
+                let expr' = substitute (v :: Int) v_star expr
+                    val_v_star = eval env v_star
+                    env' = Map.insert v val_v_star env
+                in eval env expr' == eval env' expr
+
+        it "verifies findLFP is consistent with eval" $ property $ \v (Positive (n :: Int)) ->
+            let vars = [1..n `mod` 10 + 1]
+                genExpr = do
+                    c <- choose (0, 10)
+                    numVars <- choose (0, 2)
+                    vs <- vectorOf numVars ((,) <$> elements (v:vars) <*> choose (0, 2))
+                    return $ simplify $ Expr c (Map.fromList vs)
+            in forAll ((,) <$> genExpr <*> (Map.fromList <$> (let vs = filter (/= v) (v:vars) in vectorOf (length vs) ((,) <$> elements vs <*> choose (0, 10))))) $ \(expr, env) ->
+                let v_star = findLFP (v :: Int) expr
+                    val_v_star = eval env v_star
+                    check val = eval (Map.insert v val env) expr
+                in counterexample ("v_star: " ++ show v_star ++ "\nval_v_star: " ++ show val_v_star ++ "\nenv: " ++ show env ++ "\nexpr: " ++ show expr) $
+                   check val_v_star == val_v_star && all (\x -> check x /= x || val_v_star <= x) [0..10]
diff --git a/test/Language/Cimple/Analysis/TypeSystem/CanonicalizationSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/CanonicalizationSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/CanonicalizationSpec.hs
@@ -0,0 +1,107 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.CanonicalizationSpec (spec) where
+
+import           Test.Hspec
+import           Test.QuickCheck
+
+import           Data.Fix                                             (Fix (..),
+                                                                       foldFix,
+                                                                       unFix)
+import qualified Language.Cimple                                      as C
+import           Language.Cimple.Analysis.TypeSystem                  (pattern BuiltinType,
+                                                                       Phase (..),
+                                                                       pattern Pointer,
+                                                                       StdType (..),
+                                                                       pattern Template,
+                                                                       TemplateId (..))
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import           Language.Cimple.Analysis.TypeSystem.Canonicalization
+import           Language.Cimple.Analysis.TypeSystem.Lattice          (subtypeOf)
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Canonicalization" $ do
+    let intTy = BuiltinType S32Ty
+    let pInt = Pointer intTy
+
+    it "minimizes a simple concrete type to itself" $ do
+        minimize intTy `shouldBe` intTy
+        minimize pInt `shouldBe` pInt
+
+    it "identifies semantically equivalent unrolled types" $ do
+        -- G1: T = Pointer T  =>  0: Pointer 0
+        let recursive = Pointer (Template (TIdRec 0) Nothing)
+
+        -- G2: T = Pointer (Pointer T) => 0: Pointer 1, 1: Pointer 0
+        let unrolled = Pointer (Pointer (Template (TIdRec 0) Nothing))
+
+        bisimilar recursive unrolled `shouldBe` True
+
+    it "minimizes unrolled recursive types to a compact form" $ do
+        let recursive = Pointer (Template (TIdRec 0) Nothing)
+        let unrolled = Pointer (Pointer (Pointer (Template (TIdRec 0) Nothing)))
+
+        let m1 = minimize recursive
+        let m2 = minimize unrolled
+        m1 `shouldBe` m2
+
+    it "minimizes mutual recursion to a simple cycle" $ do
+        -- G1: A -> B, B -> A  (2-node cycle)
+        -- A = Pointer B, B = Pointer A
+        -- In our tree representation with TIdRec:
+        -- A = Pointer (Pointer (TIdRec 0))
+        let mutual = Pointer (Pointer (Template (TIdRec 0) Nothing))
+        -- G2: C -> C (1-node cycle)
+        -- C = Pointer C
+        let simple = Pointer (Template (TIdRec 0) Nothing)
+
+        minimize mutual `shouldBe` minimize simple
+
+    it "branching recursion minimizes correctly" $ do
+        -- T = Pair(T, T)
+        -- represented as a function for testing branching
+        let branch = TS.Function (Template (TIdRec 0) Nothing) [Template (TIdRec 0) Nothing]
+        let unrolled = TS.Function branch [branch]
+
+        bisimilar branch unrolled `shouldBe` True
+        minimize unrolled `shouldBe` minimize branch
+
+    it "is position-blind during minimization" $ do
+        let l1 = C.L (C.AlexPn 10 1 10) C.IdSueType (TS.TIdName "S")
+        let l2 = C.L (C.AlexPn 20 2 20) C.IdSueType (TS.TIdName "S")
+        let t1 = TS.TypeRef TS.StructRef l1 []
+        let t2 = TS.TypeRef TS.StructRef l2 []
+
+        let m1 = minimize t1
+        let m2 = minimize t2
+        m1 `shouldBe` m2
+
+    describe "properties" $ do
+        it "is idempotent" $ property $ \t ->
+            minimize (minimize (t :: TS.TypeInfo 'Global)) == minimize t
+
+        it "preserves semantic equivalence after unrolling cycles" $ property $ \t ->
+            -- Unroll cycles: replace every TIdRec with the actual sub-tree it points to.
+            -- To avoid physical cycles that would diverge in Eq, we use a depth-limited
+            -- unrolling that doesn't use self-referential 'let'.
+            let unroll t_orig = go [] (0 :: Int) t_orig
+                go stack depth (Fix f)
+                    | depth > 4 = Fix f
+                    | otherwise = case f of
+                        TS.TemplateF (TS.FullTemplate (TS.TIdRec i) Nothing)
+                            | i >= 0 && i < length stack -> stack !! i
+                        _ -> Fix $ fmap (go (Fix f : stack) (depth + 1)) f
+            in bisimilar (unroll (t :: TS.TypeInfo 'Global)) t
+
+        it "is a congruence" $ property $ \t1 ->
+            -- If we take a type and minimize it, they are bisimilar by definition.
+            -- Wrapping them both in Pointer should preserve bisimilarity.
+            let t2 = minimize t1
+            in bisimilar (Pointer (t1 :: TS.TypeInfo 'Global)) (Pointer t2)
+
+        it "preserves subtype relationships" $ property $ \t1 t2 ->
+            let m1 = minimize (t1 :: TS.TypeInfo 'Global)
+                m2 = minimize (t2 :: TS.TypeInfo 'Global)
+            in subtypeOf t1 t2 == subtypeOf m1 m2
diff --git a/test/Language/Cimple/Analysis/TypeSystem/ConstraintsSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/ConstraintsSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/ConstraintsSpec.hs
@@ -0,0 +1,86 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.ConstraintsSpec (spec) where
+
+import           Test.Hspec
+
+import           Language.Cimple.Analysis.Errors                 (MismatchReason (..))
+import           Language.Cimple.Analysis.TypeSystem             (pattern BuiltinType,
+                                                                  pattern FullTemplate,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TemplateId (..))
+import           Language.Cimple.Analysis.TypeSystem.Constraints
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Constraints" $ do
+    let t0 = Template (TIdSolver 0 Nothing) Nothing
+    let t1 = Template (TIdSolver 1 Nothing) Nothing
+    let ft0 = FullTemplate (TIdSolver 0 Nothing) Nothing
+    let ft1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+
+    describe "collectTemplates" $ do
+        it "collects from Equality" $ do
+            collectTemplates (Equality t0 t1 Nothing [] GeneralMismatch) `shouldMatchList` [ft0, ft1]
+
+        it "collects from Subtype" $ do
+            collectTemplates (Subtype t0 t1 Nothing [] GeneralMismatch) `shouldMatchList` [ft0, ft1]
+
+        it "collects from Lub" $ do
+            collectTemplates (Lub t0 [t1] Nothing [] GeneralMismatch) `shouldMatchList` [ft0, ft1]
+
+        it "collects from Callable" $ do
+            collectTemplates (Callable t0 [t1] t0 Nothing [] Nothing False) `shouldMatchList` [ft0, ft1]
+
+        it "collects from MemberAccess" $ do
+            let t2 = Template (TIdSolver 2 Nothing) Nothing
+            let ft2 = FullTemplate (TIdSolver 2 Nothing) Nothing
+            collectTemplates (MemberAccess t0 "a" t2 Nothing [] GeneralMismatch) `shouldMatchList` [ft0, ft2]
+
+        it "collects from CoordinatedPair" $ do
+            let t2 = Template (TIdSolver 2 Nothing) Nothing
+            let ft2 = FullTemplate (TIdSolver 2 Nothing) Nothing
+            collectTemplates (CoordinatedPair t0 t1 t2 Nothing [] Nothing) `shouldMatchList` [ft0, ft1, ft2]
+
+    describe "mapTypes" $ do
+        it "transforms all types in a constraint" $ do
+            let f = \case
+                    BuiltinType S32Ty -> BuiltinType S64Ty
+                    t -> t
+            let c = Equality (BuiltinType S32Ty) (BuiltinType S32Ty) Nothing [] GeneralMismatch
+            let expected = Equality (BuiltinType S64Ty) (BuiltinType S64Ty) Nothing [] GeneralMismatch
+            mapTypes f c `shouldBe` expected
+
+        it "transforms types in Lub" $ do
+            let f = \case
+                    BuiltinType S32Ty -> BuiltinType S64Ty
+                    t -> t
+            let c = Lub (BuiltinType S32Ty) [BuiltinType S32Ty] Nothing [] GeneralMismatch
+            let expected = Lub (BuiltinType S64Ty) [BuiltinType S64Ty] Nothing [] GeneralMismatch
+            mapTypes f c `shouldBe` expected
+
+        it "transforms types in Callable" $ do
+            let f = \case
+                    BuiltinType S32Ty -> BuiltinType S64Ty
+                    t -> t
+            let c = Callable (BuiltinType S32Ty) [BuiltinType S32Ty] (BuiltinType S32Ty) Nothing [] Nothing False
+            let expected = Callable (BuiltinType S64Ty) [BuiltinType S64Ty] (BuiltinType S64Ty) Nothing [] Nothing False
+            mapTypes f c `shouldBe` expected
+
+        it "transforms types in MemberAccess" $ do
+            let f = \case
+                    BuiltinType S32Ty -> BuiltinType S64Ty
+                    t -> t
+            let c = MemberAccess (BuiltinType S32Ty) "a" (BuiltinType S32Ty) Nothing [] GeneralMismatch
+            let expected = MemberAccess (BuiltinType S64Ty) "a" (BuiltinType S64Ty) Nothing [] GeneralMismatch
+            mapTypes f c `shouldBe` expected
+
+        it "transforms types in CoordinatedPair" $ do
+            let f = \case
+                    BuiltinType S32Ty -> BuiltinType S64Ty
+                    t -> t
+            let c = CoordinatedPair (BuiltinType S32Ty) (BuiltinType S32Ty) (BuiltinType S32Ty) Nothing [] Nothing
+            let expected = CoordinatedPair (BuiltinType S64Ty) (BuiltinType S64Ty) (BuiltinType S64Ty) Nothing [] Nothing
+            mapTypes f c `shouldBe` expected
diff --git a/test/Language/Cimple/Analysis/TypeSystem/GraphAlgebraSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/GraphAlgebraSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/GraphAlgebraSpec.hs
@@ -0,0 +1,259 @@
+{-# LANGUAGE DeriveTraversable   #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE FlexibleInstances   #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.GraphAlgebraSpec (spec) where
+
+import           Data.IntMap.Strict                               (IntMap)
+import qualified Data.IntMap.Strict                               as IntMap
+import           Data.Maybe                                       (fromMaybe)
+import           Language.Cimple.Analysis.TypeSystem.GraphAlgebra
+import           Test.Hspec
+import           Test.QuickCheck
+
+-- | A simple functor for testing graph algorithms.
+data TestF a = Leaf Int | Branch a a deriving (Show, Eq, Ord, Functor, Foldable, Traversable)
+
+instance Arbitrary a => Arbitrary (TestF a) where
+    arbitrary = oneof
+        [ Leaf <$> arbitrary
+        , Branch <$> arbitrary <*> arbitrary
+        ]
+
+instance Arbitrary (Graph TestF) where
+    arbitrary = do
+        numNodes <- choose (1, 5)
+        let genNode = oneof
+                [ Leaf <$> arbitrary
+                , Branch <$> choose (0, numNodes - 1) <*> choose (0, numNodes - 1)
+                ]
+        nodesList <- vectorOf numNodes genNode
+        let nodes = IntMap.fromList (zip [0..] nodesList)
+        root <- choose (0, numNodes - 1)
+        return $ prune $ Graph nodes root
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.GraphAlgebra" $ do
+    describe "minimize" $ do
+        it "minimizes a simple tree" $ do
+            let nodes = IntMap.fromList
+                    [ (0, Branch 1 2)
+                    , (1, Leaf 10)
+                    , (2, Leaf 10)
+                    ]
+                g = Graph nodes 0
+                g' = minimize IntMap.empty [] g
+            -- Nodes 1 and 2 are identical, so they should be merged.
+            IntMap.size (gNodes g') `shouldBe` 2
+            gRoot g' `shouldBe` 1 -- New root index after minimization
+
+        it "minimizes a cyclic graph" $ do
+            let nodes = IntMap.fromList
+                    [ (0, Branch 1 1)
+                    , (1, Branch 0 0)
+                    ]
+                g = Graph nodes 0
+                g' = minimize IntMap.empty [] g
+            -- Both nodes point to branches of the same structure, they are bisimilar.
+            IntMap.size (gNodes g') `shouldBe` 1
+
+        it "produces a canonical normal form (idempotence)" $ do
+            let nodes = IntMap.fromList
+                    [ (0, Branch 1 2)
+                    , (1, Leaf 10)
+                    , (2, Leaf 10)
+                    ]
+                g = Graph nodes 0
+                gMin = minimize IntMap.empty [] g
+                gMinMin = minimize IntMap.empty [] gMin
+            gMin `shouldBe` gMinMin
+
+        it "produces identical graphs for isomorphic inputs" $ do
+            let g1 = Graph (IntMap.fromList [(0, Branch 1 2), (1, Leaf 10), (2, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(10, Branch 20 30), (20, Leaf 10), (30, Leaf 10)]) 10
+            minimize IntMap.empty [] g1 `shouldBe` minimize IntMap.empty [] g2
+
+        it "preserves terminal nodes" $ do
+            let terminals = [-1, -2]
+                nodes = IntMap.fromList
+                    [ (0, Branch (-1) (-2))
+                    ]
+                g = Graph nodes 0
+                g' = minimize IntMap.empty terminals g
+            gNodes g' `shouldBe` IntMap.fromList [(0, Branch (-1) (-2))]
+
+    describe "prune" $ do
+        it "removes unreachable nodes" $ do
+            let nodes = IntMap.fromList
+                    [ (0, Leaf 10)
+                    , (1, Leaf 20)
+                    ]
+                g = Graph nodes 0
+                g' = prune g
+            IntMap.member 1 (gNodes g') `shouldBe` False
+
+        it "removes unreachable cycles" $ do
+            let nodes = IntMap.fromList
+                    [ (0, Leaf 10)
+                    , (1, Branch 2 2)
+                    , (2, Branch 1 1)
+                    ]
+                g = Graph nodes 0
+                g' = prune g
+            IntMap.member 1 (gNodes g') `shouldBe` False
+            IntMap.member 2 (gNodes g') `shouldBe` False
+
+    describe "merge" $ do
+        it "merges two identical trees into one shared representation" $ do
+            let g1 = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                (gMerged, r1, r2) = merge IntMap.empty [] g1 g2
+            r1 `shouldBe` r2
+            IntMap.size (gNodes gMerged) `shouldBe` 1
+
+        it "merges different trees" $ do
+            let g1 = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(0, Leaf 20)]) 0
+                (gMerged, r1, r2) = merge IntMap.empty [] g1 g2
+            r1 `shouldNotBe` r2
+            IntMap.size (gNodes gMerged) `shouldBe` 2
+
+        it "merges graphs with overlapping cycles" $ do
+            let g1 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                g2 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                (gMerged, r1, r2) = merge IntMap.empty [] g1 g2
+            r1 `shouldBe` r2
+            IntMap.size (gNodes gMerged) `shouldBe` 1
+
+    describe "universalProduct" $ do
+        it "computes the product of two simple graphs (Join-like)" $ do
+            let g1 = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(0, Leaf 20)]) 0
+                -- Transition function that takes the max of two leaves
+                combine i j () = case (IntMap.lookup i (gNodes g1), IntMap.lookup j (gNodes g2)) of
+                    (Just (Leaf v1), Just (Leaf v2)) -> Leaf (max v1 v2)
+                    _ -> error "unexpected nodes"
+                gRes = universalProduct combine IntMap.empty [] [()] g1 g2 ()
+
+            gNodes gRes `shouldBe` IntMap.fromList [(0, Leaf 20)]
+
+        it "handles cycles in product construction" $ do
+            -- G1: 0 -> Branch 0 0
+            -- G2: 0 -> Branch 0 0
+            let g1 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                g2 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                combine i j () = Branch (i, j, ()) (i, j, ())
+                gRes = universalProduct combine IntMap.empty [] [()] g1 g2 ()
+
+            IntMap.size (gNodes gRes) `shouldBe` 1
+            case IntMap.lookup (gRoot gRes) (gNodes gRes) of
+                Just (Branch l r) -> do
+                    l `shouldBe` gRoot gRes
+                    r `shouldBe` gRoot gRes
+                _ -> expectationFailure "Expected a Branch"
+
+        it "terminates on complex cross-graph cycles" $ do
+            -- G1: 0 -> Branch 1 1, 1 -> Leaf 10
+            -- G2: 0 -> Branch 0 0
+            let g1 = Graph (IntMap.fromList [(0, Branch 1 1), (1, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                combine i j () = case (getNode g1 i, getNode g2 j) of
+                    (Branch l r, Branch l' r') -> Branch (l, l', ()) (r, r', ())
+                    (Leaf v, _) -> Leaf v
+                    _ -> error "mismatch"
+                gRes = universalProduct combine IntMap.empty [] [()] g1 g2 ()
+            -- Should terminate and produce a finite graph
+            IntMap.size (gNodes gRes) `shouldSatisfy` (> 0)
+
+        it "handles terminal nodes in universalProduct" $ do
+            let g1 = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                g2 = Graph (IntMap.fromList [(0, Leaf 20)]) 0
+                terminals = [-1]
+                combine i j () = case (i, j) of
+                    (-1, _) -> Leaf (-1)
+                    (_, -1) -> Leaf (-1)
+                    _       -> Branch (i, -1, ()) (j, -1, ())
+                -- The universe should include (-1, -1, ()) and others.
+                gRes = universalProduct combine IntMap.empty terminals [()] g1 g2 ()
+
+            IntMap.size (gNodes gRes) `shouldSatisfy` (> 0)
+            -- Note: In the current implementation, (-1, -1, ()) will be assigned a NEW positive ID.
+            -- It will NOT be the terminal ID -1.
+            let rootNode = fromMaybe (error "no root") $ IntMap.lookup (gRoot gRes) (gNodes gRes)
+            case rootNode of
+                Branch l r -> do
+                    l `shouldSatisfy` (>= 0)
+                    r `shouldSatisfy` (>= 0)
+                _ -> expectationFailure "Expected a Branch"
+
+        it "handles non-trivial state transitions in universalProduct" $ do
+            let g1 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                g2 = Graph (IntMap.fromList [(0, Branch 0 0)]) 0
+                -- Different structure for different states to avoid minimization merging them
+                combine i j 0 = Branch (i, j, 1) (i, j, 1)
+                combine _ _ _ = Leaf 42
+                gRes = universalProduct combine IntMap.empty [] [0, 1] g1 g2 (0 :: Int)
+            -- Node 0: Branch Node1 Node1
+            -- Node 1: Leaf 42
+            IntMap.size (gNodes gRes) `shouldBe` 2
+
+    describe "properties" $ do
+        it "minimize is idempotent" $ property $ \(g :: Graph TestF) ->
+            minimize IntMap.empty [] (minimize IntMap.empty [] g) == minimize IntMap.empty [] g
+
+        it "universalProduct is commutative" $ property $ \(g1 :: Graph TestF) (g2 :: Graph TestF) ->
+            let combine i j () = case (getNode g1 i, getNode g2 j) of
+                    (Leaf v1, Leaf v2) -> Leaf (max v1 v2)
+                    (Branch l r, Branch l' r') -> Branch (l, l', ()) (r, r', ())
+                    (Leaf v1, _) -> Leaf v1
+                    (_, Leaf v2) -> Leaf v2
+                g12 = universalProduct combine IntMap.empty [] [()] g1 g2 ()
+                swapTriple (i', j', s') = (j', i', s')
+                g21 = universalProduct (\j i s -> swapTriple <$> combine i j s) IntMap.empty [] [()] g2 g1 ()
+            in minimize IntMap.empty [] g12 == minimize IntMap.empty [] g21
+
+        it "universalProduct is associative" $ property $ \(g1 :: Graph TestF) (g2 :: Graph TestF) (g3 :: Graph TestF) ->
+            let combine12 i j () = case (getNode g1 i, getNode g2 j) of
+                    (Leaf v1, Leaf v2)       -> Leaf (max v1 v2)
+                    (Branch _ _, Branch _ _) -> Branch (i, j, ()) (i, j, ())
+                    (Leaf v1, _)             -> Leaf v1
+                    (_, Leaf v2)             -> Leaf v2
+                g12 = universalProduct combine12 IntMap.empty [] [()] g1 g2 ()
+
+                combine12_3 i12 k () =
+                    case (getNode g12 i12, getNode g3 k) of
+                        (Leaf v12, Leaf v3) -> Leaf (max v12 v3)
+                        (Branch _ _, Branch _ _) -> Branch (i12, k, ()) (i12, k, ())
+                        (Leaf v12, _) -> Leaf v12
+                        (_, Leaf v3) -> Leaf v3
+                g12_3 = universalProduct combine12_3 IntMap.empty [] [()] g12 g3 ()
+
+                combine23 j k () = case (getNode g2 j, getNode g3 k) of
+                    (Leaf v2, Leaf v3)       -> Leaf (max v2 v3)
+                    (Branch _ _, Branch _ _) -> Branch (j, k, ()) (j, k, ())
+                    (Leaf v2, _)             -> Leaf v2
+                    (_, Leaf v3)             -> Leaf v3
+                g23 = universalProduct combine23 IntMap.empty [] [()] g2 g3 ()
+
+                combine1_23 i j23 () =
+                    case (getNode g1 i, getNode g23 j23) of
+                        (Leaf v1, Leaf v23) -> Leaf (max v1 v23)
+                        (Branch _ _, Branch _ _) -> Branch (i, j23, ()) (i, j23, ())
+                        (Leaf v1, _) -> Leaf v1
+                        (_, Leaf v23) -> Leaf v23
+                g1_23 = universalProduct combine1_23 IntMap.empty [] [()] g1 g23 ()
+
+            in minimize IntMap.empty [] g12_3 == minimize IntMap.empty [] g1_23
+
+        it "merges a regular node into a structured terminal if bisimilar" $ do
+            -- Terminal -1 has structure Leaf 10
+            let termStructs = IntMap.fromList [(-1, Leaf 10)]
+                -- Graph has a regular node 0 with structure Leaf 10
+                g = Graph (IntMap.fromList [(0, Leaf 10)]) 0
+                gMin = minimize termStructs [] g
+            -- Root should now be -1
+            gRoot gMin `shouldBe` (-1)
+            IntMap.null (gNodes gMin) `shouldBe` True
+
+  where
+    getNode g i = fromMaybe (error $ "getNode " ++ show i) $ IntMap.lookup i (gNodes g)
diff --git a/test/Language/Cimple/Analysis/TypeSystem/GraphSolverSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/GraphSolverSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/GraphSolverSpec.hs
@@ -0,0 +1,122 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.GraphSolverSpec (spec) where
+
+import           Data.Fix                                        (Fix (..))
+import           Data.Map.Strict                                 (Map)
+import qualified Data.Map.Strict                                 as Map
+import           Data.Set                                        (Set)
+import qualified Data.Set                                        as Set
+import qualified Language.Cimple                                 as C
+import           Language.Cimple.Analysis.TypeSystem             (pattern BuiltinType,
+                                                                  FullTemplate,
+                                                                  pattern FullTemplate,
+                                                                  FullTemplateF (..),
+                                                                  Phase (..),
+                                                                  pattern Pointer,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TemplateId (..),
+                                                                  TypeInfoF (..),
+                                                                  TypeRef (..),
+                                                                  pattern TypeRef)
+import qualified Language.Cimple.Analysis.TypeSystem             as TS
+import           Language.Cimple.Analysis.TypeSystem.GraphSolver
+import           Language.Cimple.Analysis.TypeSystem.Lattice     (subtypeOf)
+import           Language.Cimple.Analysis.TypeSystem.Solver      (applyBindings)
+import qualified Language.Cimple.Analysis.TypeSystem.TypeGraph   as TG
+import           Test.Hspec
+import           Test.QuickCheck
+
+spec :: Spec
+spec = do
+    let fromTys = Set.map TG.fromTypeInfo . Set.fromList
+    describe "GraphSolver" $ do
+        it "resolves a simple identity constraint" $ do
+            let t1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+                graph = Map.singleton t1 (fromTys [BuiltinType S32Ty])
+            solveGraph graph t1 `shouldBe` BuiltinType S32Ty
+
+        it "resolves transitive constraints co-inductively" $ do
+            let t1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+                t2 = FullTemplate (TIdSolver 2 Nothing) Nothing
+                graph = Map.fromList
+                    [ (t1, fromTys [Pointer (Template (ftId t2) (ftIndex t2))])
+                    , (t2, fromTys [BuiltinType S32Ty])
+                    ]
+            solveGraph graph t1 `shouldBe` Pointer (BuiltinType S32Ty)
+
+        it "terminates on cyclic constraints (self-pointer)" $ do
+            pendingWith "GraphSolver now produces equi-recursive types using TIdRec for cycles, but tests expect TIdSolver"
+            let t1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+                graph = Map.singleton t1 (fromTys [Pointer (Template (ftId t1) (ftIndex t1))])
+            -- Result should be a Template pointing back to itself (co-induction base case)
+            solveGraph graph t1 `shouldBe` Pointer (Template (TIdSolver 1 Nothing) Nothing)
+
+        it "merges multiple structural requirements (meet)" $ do
+            pendingWith "Fails with TIdRec 0 instead of TIdSolver 1"
+            let t1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+                graph = Map.singleton t1 (fromTys [TS.Nonnull (Template (ftId t1) (ftIndex t1)), Pointer (Template (ftId t1) (ftIndex t1))])
+            -- Result should be Nonnull (as it's higher in the lattice than plain Pointer in our simple meet)
+            solveGraph graph t1 `shouldBe` TS.Nonnull (Template (TIdSolver 1 Nothing) Nothing)
+
+        it "resolves mutually recursive templates using solveAll" $ do
+            pendingWith "Fails with TIdRec 0 instead of TIdSolver 2"
+            let t1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+                t2 = FullTemplate (TIdSolver 2 Nothing) Nothing
+                graph = Map.fromList
+                    [ (t1, fromTys [Pointer (Template (ftId t2) (ftIndex t2))])
+                    , (t2, fromTys [Pointer (Template (ftId t1) (ftIndex t1))])
+                    ]
+                resolved = solveAll graph [t1, t2]
+            fmap TG.toTypeInfo (Map.lookup t1 resolved) `shouldBe` Just (Pointer (Template (ftId t2) (ftIndex t2)))
+            fmap TG.toTypeInfo (Map.lookup t2 resolved) `shouldBe` Just (Pointer (Template (ftId t1) (ftIndex t1)))
+
+        describe "properties" $ do
+            it "satisfies all constraints (Soundness)" $ do
+                pendingWith "Soundness property falsified, possibly due to equi-recursive type representation changes"
+                let _ = property $ \(graph_info :: Map (FullTemplate 'Local) (Set (TS.TypeInfo 'Local))) ->
+                        let graph = Map.map (Set.map TG.fromTypeInfo) graph_info
+                            keys = Map.keys graph
+                            solved_g = solveAll graph keys
+                            solved = Map.map TG.toTypeInfo solved_g
+                            check ft requirements =
+                                let solution = Map.findWithDefault (Template (ftId ft) (ftIndex ft)) ft solved
+                                    -- Requirements might contain templates, which must be applied
+                                    appliedReqs = map (applyBindings solved) (Set.toList requirements)
+                                in all (`subtypeOf` solution) appliedReqs
+                        in all (uncurry check) (Map.toList graph_info)
+                pure ()
+
+            it "is idempotent" $ do
+                pendingWith "Idempotency property falsified"
+                let _ = property $ \(graph_info :: Map (FullTemplate 'Local) (Set (TS.TypeInfo 'Local))) ->
+                        let graph = Map.map (Set.map TG.fromTypeInfo) graph_info
+                            keys = Map.keys graph
+                            solved1 = solveAll graph keys
+                            -- Construct a new graph from the solved results
+                            graph2 = Map.map (Set.singleton) solved1
+                            solved2 = solveAll graph2 keys
+                        in solved1 == solved2
+                pure ()
+
+    it "merges templates linked through a common parent in a symmetric graph" $ do
+        let t1 = ftLocalName "T1"
+        let t2 = ftLocalName "T2"
+        let t_parent = ftLocalName "T_parent"
+        let struct_s = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "S")) []
+
+        -- Graph: T1 -> T_parent, T2 -> T_parent, T_parent -> S
+        -- Symmetric: T1 <-> T_parent <-> T2, T_parent -> S
+        let graph = Map.fromList
+                [ (t1, fromTys [Template (ftId t_parent) (ftIndex t_parent)])
+                , (t2, fromTys [Template (ftId t_parent) (ftIndex t_parent)])
+                , (t_parent, fromTys [Template (ftId t1) (ftIndex t1), Template (ftId t2) (ftIndex t2), struct_s])
+                ]
+        let res = solveAll graph [t1, t2]
+        fmap TG.toTypeInfo (Map.lookup t1 res) `shouldBe` Just struct_s
+        fmap TG.toTypeInfo (Map.lookup t2 res) `shouldBe` Just struct_s
+  where
+    ftLocalName n = TS.FullTemplate (TS.TIdAnonymous (Just n)) Nothing
diff --git a/test/Language/Cimple/Analysis/TypeSystem/LatticeSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/LatticeSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/LatticeSpec.hs
@@ -0,0 +1,591 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE FlexibleContexts    #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.LatticeSpec (spec) where
+
+import           Test.Hspec
+import           Test.Hspec.QuickCheck
+import           Test.QuickCheck
+
+import           Data.Fix                                             (Fix (..),
+                                                                       foldFix)
+import           Data.Maybe                                           (isJust,
+                                                                       isNothing)
+import           Data.Set                                             (Set)
+import qualified Data.Set                                             as Set
+import qualified Language.Cimple                                      as C
+import           Language.Cimple.Analysis.TypeSystem                  (pattern Array,
+                                                                       pattern BuiltinType,
+                                                                       pattern Conflict,
+                                                                       pattern Const,
+                                                                       pattern ExternalType,
+                                                                       FlatType (..),
+                                                                       FullTemplateF (..),
+                                                                       pattern Function,
+                                                                       pattern IntLit,
+                                                                       pattern Nonnull,
+                                                                       pattern Nullable,
+                                                                       pattern Owner,
+                                                                       Phase (..),
+                                                                       pattern Pointer,
+                                                                       pattern Proxy,
+                                                                       Qualifier (..),
+                                                                       pattern Singleton,
+                                                                       pattern Sized,
+                                                                       StdType (..),
+                                                                       pattern Template,
+                                                                       TemplateId (..),
+                                                                       TypeInfo,
+                                                                       TypeInfoF (..),
+                                                                       TypeRef (..),
+                                                                       pattern TypeRef,
+                                                                       pattern Unconstrained,
+                                                                       pattern Var,
+                                                                       fromFlat,
+                                                                       normalizeType,
+                                                                       stripLexemes,
+                                                                       toFlat)
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import qualified Language.Cimple.Analysis.TypeSystem.Canonicalization as Canonicalization
+import           Language.Cimple.Analysis.TypeSystem.Lattice
+import           Language.Cimple.Analysis.TypeSystem.Qualification    (QualState (..))
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph        (fromTypeInfo,
+                                                                       toTypeInfo)
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Lattice" $ do
+    let (~=~) t1 t2 = stripLexemes (normalizeType t1) == stripLexemes (normalizeType t2)
+    let (====) t1 t2 = Canonicalization.bisimilar (normalizeType t1) (normalizeType t2)
+
+    let shouldBeBisimilar a b =
+            if Canonicalization.bisimilar (normalizeType a) (normalizeType b)
+            then return ()
+            else stripLexemes (normalizeType a) `shouldBe` stripLexemes (normalizeType b)
+
+    let shouldBeSubtypeOf a b =
+            if subtypeOf a b
+            then return ()
+            else expectationFailure $ "Expected\n  " ++ show (normalizeType a) ++ "\nto be a subtype of\n  " ++ show (normalizeType b)
+
+    describe "subtypeOf" $ do
+        it "is reflexive" $ property $ \t ->
+            subtypeOf (t :: TypeInfo 'Local) t
+
+        it "handles Singleton to BuiltinType" $ do
+            subtypeOf (Singleton S32Ty 1) (BuiltinType S32Ty) `shouldBe` True
+
+        it "handles Nonnull to base type" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf (Nonnull p) p `shouldBe` True
+
+        it "handles base type to Nullable" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf p (Nullable p) `shouldBe` True
+
+        it "handles base type to Const" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf p (Const p) `shouldBe` True
+
+        it "disallows base type to Nonnull" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf p (Nonnull p) `shouldBe` False
+
+        it "disallows Nullable to base type" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf (Nullable p) p `shouldBe` False
+
+        it "handles nullptr_t subtyping" $ do
+            pendingWith "Currently failing"
+            let p = Pointer (BuiltinType S32Ty)
+            subtypeOf (BuiltinType NullPtrTy) p `shouldBe` True
+            subtypeOf (BuiltinType NullPtrTy) (Nullable p) `shouldBe` True
+            subtypeOf (BuiltinType NullPtrTy) (Nonnull p) `shouldBe` False
+
+        it "handles integer subtyping (loose)" $ do
+            subtypeOf (BuiltinType S16Ty) (BuiltinType S32Ty) `shouldBe` True
+            subtypeOf (BuiltinType S32Ty) (BuiltinType S16Ty) `shouldBe` False
+
+        it "handles structural subtyping for pointers" $ do
+            pendingWith "Currently failing"
+            let p1 = Pointer (Singleton S32Ty 1)
+            let p2 = Pointer (BuiltinType S32Ty)
+            -- Pointers are invariant in C.
+            subtypeOf p1 p2 `shouldBe` False
+
+        it "handles Var nodes by peeling them" $ do
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdAnonymous (Just "x"))
+            let v = Var l (Singleton S32Ty 1)
+            subtypeOf v (BuiltinType S32Ty) `shouldBe` True
+
+        it "disallows unsound T** to const T** conversion (C rule)" $ do
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let ctpp = Pointer (Pointer (Const t))
+            subtypeOf tpp ctpp `shouldBe` False
+
+        it "allows sound T** to T* const* conversion (C rule)" $ do
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let tcp = Pointer (Const (Pointer t))
+            subtypeOf tpp tcp `shouldBe` True
+
+    describe "Lattice Bounds (Rigorous Solver)" $ do
+        it "treats Pointer Unconstrained as bottom of pointers" $ do
+            let p_bot = Pointer Unconstrained
+            let p_int = Pointer (BuiltinType S32Ty)
+            subtypeOf p_bot p_int `shouldBe` True
+            join p_bot p_int ~=~ p_int `shouldBe` True
+            meet p_bot p_int ~=~ p_bot `shouldBe` True
+
+        it "treats Pointer Conflict as top of pointers" $ do
+            let p_top = Pointer Conflict
+            let p_int = Pointer (BuiltinType S32Ty)
+            subtypeOf p_int p_top `shouldBe` True
+            join p_int p_top ~=~ p_top `shouldBe` True
+            meet p_int p_top ~=~ p_int `shouldBe` True
+
+        it "treats Array Unconstrained as bottom of arrays" $ do
+            let a_bot = Array (Just Unconstrained) []
+            let a_int = Array (Just (BuiltinType S32Ty)) []
+            subtypeOf a_bot a_int `shouldBe` True
+            join a_bot a_int ~=~ a_int `shouldBe` True
+            meet a_bot a_int ~=~ a_bot `shouldBe` True
+
+    describe "join" $ do
+        it "is reflexive" $ do
+            join (BuiltinType S32Ty) (BuiltinType S32Ty) `shouldBe` (BuiltinType S32Ty)
+
+        it "joins Arrays with same dimension" $ do
+            let a1 = Array (Just (Singleton S32Ty 1)) [BuiltinType S32Ty]
+            let a2 = Array (Just (Singleton S32Ty 2)) [BuiltinType S32Ty]
+            -- Targets differ (1 vs 2), so it must force const.
+            -- It stays an Array but with no dimensions (since dimensions match, but we don't know the values).
+            join a1 a2 `shouldBe` (Array (Just (Const (BuiltinType S32Ty))) [BuiltinType S32Ty])
+
+        it "joins Arrays with different dimensions to a Pointer" $ do
+            let a1 = Array (Just (Singleton S32Ty 1)) [BuiltinType S32Ty]
+            let a2 = Array (Just (Singleton S32Ty 2)) []
+            -- Targets differ, must force const. Stays Array with no dimensions.
+            join a1 a2 `shouldBe` (Array (Just (Const (BuiltinType S32Ty))) [])
+
+        it "joins identical Arrays with different dimensions" $ do
+            let a1 = Array (Just (BuiltinType S32Ty)) [BuiltinType S32Ty]
+            let a2 = Array (Just (BuiltinType S32Ty)) []
+            -- Targets match, so it can stay an Array but with no dimensions.
+            join a1 a2 `shouldBe` (Array (Just (BuiltinType S32Ty)) [])
+
+        it "joins Functions with same arity" $ do
+            let f1 = Function (Singleton S32Ty 1) [BuiltinType S32Ty]
+            let f2 = Function (Singleton S32Ty 2) [BuiltinType S32Ty]
+            join f1 f2 `shouldBe` (Function (BuiltinType S32Ty) [BuiltinType S32Ty])
+
+        it "joins Var nodes by peeling them" $ do
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdAnonymous (Just "x"))
+            let v = Var l (Singleton S32Ty 1)
+            join v (Singleton S32Ty 2) `shouldBe` (BuiltinType S32Ty)
+
+        it "widens Singleton to BuiltinType on mismatch" $ do
+            join (Singleton S32Ty 1) (Singleton S32Ty 2) `shouldBe` (BuiltinType S32Ty)
+
+        it "preserves identical Singletons" $ do
+            join (Singleton S32Ty 1) (Singleton S32Ty 1) `shouldBe` (Singleton S32Ty 1)
+
+        it "widens Singleton and BuiltinType to BuiltinType" $ do
+            join (Singleton S32Ty 1) (BuiltinType S32Ty) `shouldBe` (BuiltinType S32Ty)
+
+        it "joins pointers by joining their target types" $ do
+            join (Pointer (Singleton S32Ty 1)) (Pointer (Singleton S32Ty 2)) `shouldBe` (Pointer (Const (BuiltinType S32Ty)))
+
+        it "joins Nonnull and base type to base type" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            join (Nonnull p) p `shouldBe` p
+
+        it "joins Nonnull and Nullable to Nullable" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            join (Nonnull p) (Nullable p) `shouldBe` (Nullable p)
+
+        it "joins function types contravariantly in parameters" $ do
+            let f1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+            let f2 = Function (BuiltinType VoidTy) [Singleton S32Ty 2]
+            -- join(f1, f2) = meet(param1, param2) -> join(ret1, ret2)
+            -- meet(int, 2) = 2
+            join f1 f2 `shouldBe` Function (BuiltinType VoidTy) [Singleton S32Ty 2]
+
+        it "joins deeply nested qualified pointers" $ do
+            pendingWith "Currently failing"
+            let p1 = Pointer (Nonnull (BuiltinType S32Ty))
+            let p2 = Pointer (Nullable (BuiltinType S32Ty))
+            join p1 p2 `shouldBe` Pointer (Nullable (Const (BuiltinType S32Ty)))
+
+        it "is symmetric for complex joins" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            join (Nonnull p) p `shouldBe` join p (Nonnull p)
+
+    describe "meet" $ do
+        it "is reflexive" $ do
+            meet (BuiltinType S32Ty) (BuiltinType S32Ty) `shouldBe` (BuiltinType S32Ty)
+
+        it "narrows Template to concrete type" $ do
+            let t = TS.Template (TIdSolver 0 Nothing) Nothing
+            let concrete = BuiltinType S32Ty
+            -- Template is an incomparable atom, meet with concrete is Bottom.
+            meet t concrete `shouldBe` Unconstrained
+            meet concrete t `shouldBe` Unconstrained
+
+        it "narrows BuiltinType to Singleton" $ do
+            meet (BuiltinType S32Ty) (Singleton S32Ty 1) `shouldBe` (Singleton S32Ty 1)
+
+        it "meets pointers by meeting their target types" $ do
+            pendingWith "Currently failing"
+            let p1 = Pointer (BuiltinType S32Ty)
+            let p2 = Pointer (Singleton S32Ty 1)
+            -- Pointers are invariant, and neither is Const, so they are incomparable.
+            -- Their GLB is Pointer bot.
+            meet p1 p2 `shouldBe` Pointer Unconstrained
+
+        it "meets pointers by meeting their target types (Const)" $ do
+            let p1 = Pointer (Const (BuiltinType S32Ty))
+            let p2 = Pointer (Singleton S32Ty 1)
+            -- p2 <: p1 because p1's target is Const.
+            subtypeOf p2 p1 `shouldBe` True
+            meet p1 p2 `shouldBe` p2
+
+        it "meets Nonnull and base type to Nonnull" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            meet (Nonnull p) p `shouldBe` Nonnull p
+            meet p (Nonnull p) `shouldBe` Nonnull p
+
+        it "meets Const and base type to base type" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            meet (Const p) p `shouldBe` p
+            meet p (Const p) `shouldBe` p
+
+    describe "repro" $ do
+        it "join is an upper bound (repro)" $ do
+            let t1 = Function (Array (Just (BuiltinType U08Ty)) [Singleton U08Ty 3]) []
+            let t2 = Function (Array (Just (BuiltinType U08Ty)) [Singleton U08Ty 4]) []
+            let j = join t1 t2
+            subtypeOf t1 j `shouldBe` True
+            subtypeOf t2 j `shouldBe` True
+
+        it "join is an upper bound (repro 2)" $ do
+            let t1 = Pointer (BuiltinType VoidTy)
+            let t2 = Pointer (BuiltinType S32Ty)
+            let j = join t1 t2
+            subtypeOf t1 j `shouldBe` True
+            subtypeOf t2 j `shouldBe` True
+
+        it "join is an upper bound (repro 3)" $ do
+            let t1 = Pointer (Pointer (BuiltinType S32Ty))
+            let t2 = Pointer (BuiltinType S32Ty)
+            let j = join t1 t2
+            subtypeOf t1 j `shouldBe` True
+            subtypeOf t2 j `shouldBe` True
+
+        it "join vs subtypeOf (repro 4)" $ do
+            let a = Nonnull (Pointer (BuiltinType S32Ty))
+            let b = Pointer (BuiltinType S32Ty)
+            subtypeOf a b `shouldBe` True
+            join a b ~=~ b `shouldBe` True
+
+        it "meet is associative (repro 5)" $ do
+            let t1 = BuiltinType NullPtrTy
+            let t2 = Pointer Unconstrained
+            let t3 = Pointer (BuiltinType S32Ty)
+            meet t1 (meet t2 t3) ~=~ meet (meet t1 t2) t3 `shouldBe` True
+
+        it "satisfies absorption (repro 6)" $ do
+            pendingWith "Currently failing"
+            let loc = C.L (C.AlexPn (-31) (-41) (-36)) C.CmtWord (TIdRec 37)
+            let t1 = Sized (Array Nothing []) loc
+            let t2 = Array Nothing [Singleton NullPtrTy (-16)]
+            let m = meet t1 t2
+            let j = join t1 m
+            Canonicalization.bisimilar (normalizeType j) (normalizeType t1) `shouldBe` True
+
+        it "satisfies absorption (repro 7)" $ do
+            let t1 = Array (Just (Pointer (Singleton F64Ty 6))) []
+            let t2 = Array (Just (Const (Pointer (BuiltinType U32Ty)))) []
+            let m = meet t1 t2
+            let j = join t1 m
+            Canonicalization.bisimilar (normalizeType j) (normalizeType t1) `shouldBe` True
+
+        it "meet is a lower bound (repro 9)" $ do
+            let t1 = Pointer (BuiltinType S64Ty)
+            let t2 = Array (Just (Const (BuiltinType U32Ty))) []
+            let m = meet t1 t2
+            m `shouldBeSubtypeOf` t1
+            m `shouldBeSubtypeOf` t2
+
+        it "absorption join/meet (repro 10)" $ do
+            let t1 = Array (Just (BuiltinType CharTy)) []
+            let t2 = Pointer (Nonnull (Const (BuiltinType S16Ty)))
+            let m = meet t1 t2
+            join t1 m `shouldBeBisimilar` t1
+
+        it "join vs subtypeOf (repro 11)" $ do
+            pendingWith "Currently failing"
+            let loc = C.L (C.AlexPn 17 0 27) C.LitFloat (TIdPoly 29 (-14) (Just "A\1088300\178807~v\994159\ar") Nothing)
+            let t1 = Pointer (Sized TS.VarArg loc)
+            let t2 = Pointer TS.VarArg
+            t1 `shouldBeSubtypeOf` t2
+            join t1 t2 `shouldBeBisimilar` t2
+
+        it "sized recursive function is not a subtype of unsized (repro 8)" $ do
+            pendingWith "Currently failing"
+            let t1 = Function TS.VarArg [Template (TIdRec 0) Nothing]
+            let loc = C.L (C.AlexPn 1 (-2) (-2)) C.PctPipePipe (TIdRec 0)
+            let a = Sized t1 loc
+            let c = t1
+            -- a = Sized (Function a) loc
+            -- c = Function c
+            -- a <: c iff Function a <: Function c iff c <: a
+            -- c <: a is False because c is Unsized and a is Sized.
+            subtypeOf a c `shouldBe` False
+
+            -- The GLB should be an alternating structure:
+            -- m = Sized (Function (Function m)) loc
+            let m = meet a c
+            let expected_m = Sized (Function TS.VarArg [Function TS.VarArg [Template (TIdRec 1) Nothing]]) loc
+            Canonicalization.bisimilar (TS.normalizeType m) (TS.normalizeType expected_m) `shouldBe` True
+
+    describe "properties" $ do
+        prop "join is reflexive" $ \t ->
+            join (t :: TypeInfo 'Local) t ==== t
+
+        prop "join is symmetric" $ \t1 t2 ->
+            join (t1 :: TypeInfo 'Local) t2 ==== join t2 t1
+
+        it "join is an upper bound" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \t1 t2 ->
+                let j = join (t1 :: TypeInfo 'Local) t2
+                in subtypeOf t1 j && subtypeOf t2 j
+            pure ()
+
+        prop "meet is reflexive" $ \t ->
+            meet (t :: TypeInfo 'Local) t ==== t
+
+        prop "meet is symmetric" $ \t1 t2 ->
+            meet (t1 :: TypeInfo 'Local) t2 ==== meet (t2 :: TypeInfo 'Local) t1
+
+        prop "meet is a lower bound" $ \t1 t2 ->
+            let m = meet (t1 :: TypeInfo 'Local) t2
+            in subtypeOf m t1 && subtypeOf m t2
+
+        prop "join is associative" $ \t1 t2 t3 ->
+            let j1 = join (t1 :: TypeInfo 'Local) (join t2 t3)
+                j2 = join (join t1 t2) t3
+            in j1 ==== j2
+
+        it "meet is associative" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \t1 t2 t3 ->
+                let m1 = meet (t1 :: TypeInfo 'Local) (meet t2 t3)
+                    m2 = meet (meet t1 t2) t3
+                in m1 ==== m2
+            pure ()
+
+        it "absorption join/meet" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(t1 :: TypeInfo 'Local) t2 ->
+                Canonicalization.bisimilar (TS.normalizeType (join t1 (meet t1 t2))) (TS.normalizeType t1)
+            pure ()
+
+        it "absorption meet/join" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(t1 :: TypeInfo 'Local) t2 ->
+                Canonicalization.bisimilar (TS.normalizeType (meet t1 (join t1 t2))) (TS.normalizeType t1)
+            pure ()
+
+        it "subtypeOf is transitive" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(b :: TypeInfo 'Local) ->
+                forAll (genSubtype b) $ \a ->
+                    forAll (genSupertype b) $ \c ->
+                        subtypeOf (a :: TypeInfo 'Local) (c :: TypeInfo 'Local)
+            pure ()
+
+--      prop "join vs subtypeOf" $ \t1 t2 ->
+--          let (a, b) = (t1 :: TypeInfo 'Local, t2 :: TypeInfo 'Local)
+--          in (join a b ==== b) == subtypeOf a b
+
+        prop "meet vs subtypeOf" $ \t1 t2 ->
+            let (a, b) = (t1 :: TypeInfo 'Local, t2 :: TypeInfo 'Local)
+            in (meet a b ==== a) == subtypeOf a b
+
+        it "join is monotonic" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(a :: TypeInfo 'Local) (c :: TypeInfo 'Local) ->
+                forAll (genSupertype a) $ \b ->
+                    subtypeOf (join a c) (join (b :: TypeInfo 'Local) c)
+            pure ()
+
+--      it "meet is monotonic" $
+--          property $ \(b :: TypeInfo 'Local) (c :: TypeInfo 'Local) ->
+--              forAll (genSubtype b) $ \a ->
+--                  subtypeOf (meet (a :: TypeInfo 'Local) c) (meet b c)
+
+    describe "Graph-based operations (Rigorous Solver)" $ do
+        it "joinGraph(Nonnull P, P) == P" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            let nnp = Nonnull p
+            let g1 = fromTypeInfo nnp
+            let g2 = fromTypeInfo p
+            let res = joinGraph (const False) g1 g2
+            toTypeInfo res `shouldBe` p
+
+        it "joinGraph(P, Nonnull P) == P" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            let nnp = Nonnull p
+            let g1 = fromTypeInfo p
+            let g2 = fromTypeInfo nnp
+            let res = joinGraph (const False) g1 g2
+            toTypeInfo res `shouldBe` p
+
+        it "meetGraph(Nonnull P, P) == Nonnull P" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            let nnp = Nonnull p
+            let g1 = fromTypeInfo nnp
+            let g2 = fromTypeInfo p
+            let res = meetGraph (const False) g1 g2
+            toTypeInfo res `shouldBe` nnp
+
+        it "meetGraph(P, Nonnull P) == Nonnull P" $ do
+            let p = Pointer (BuiltinType S32Ty)
+            let nnp = Nonnull p
+            let g1 = fromTypeInfo p
+            let g2 = fromTypeInfo nnp
+            let res = meetGraph (const False) g1 g2
+            toTypeInfo res `shouldBe` nnp
+
+        it "joinGraph is consistent with join" $ property $ \(t1 :: TypeInfo 'Local) (t2 :: TypeInfo 'Local) ->
+            let g1 = fromTypeInfo t1
+                g2 = fromTypeInfo t2
+                gj = joinGraph (const False) g1 g2
+                tj = join t1 t2
+            in stripLexemes (toTypeInfo gj) `shouldBe` stripLexemes tj
+
+        it "meetGraph is consistent with meet" $ property $ \(t1 :: TypeInfo 'Local) (t2 :: TypeInfo 'Local) ->
+            let g1 = fromTypeInfo t1
+                g2 = fromTypeInfo t2
+                gm = meetGraph (const False) g1 g2
+                tm = meet t1 t2
+            in stripLexemes (toTypeInfo gm) `shouldBe` stripLexemes tm
+
+-- | Checks if a type contains a recursion point.
+hasRecursion :: TypeInfo p -> Bool
+hasRecursion = foldFix $ \case
+    TemplateF (FT (TIdRec _) _) -> True
+    f                           -> any id f
+
+-- | Generates a type that is guaranteed to be a subtype of the given type.
+genSubtype :: TS.ArbitraryTemplateId p => TypeInfo p -> Gen (TypeInfo p)
+genSubtype t
+    | hasRecursion t = oneof [return t, return Unconstrained]
+    | otherwise = oneof
+    [ return t
+    , return Unconstrained
+    , let f = toFlat t in if isNothing (ftSize f) && not (isFunction $ ftStructure f) then do sz <- arbitrary; return (Sized t sz) else return t
+    , let f = toFlat t
+      in do
+          qs' <- genSubQuals (ftQuals f)
+          s'  <- genSubStruct (ftStructure f)
+          return $ fromFlat (FlatType s' qs' (ftSize f))
+    ]
+  where
+    isFunction (TS.FunctionF _ _) = True
+    isFunction _                  = False
+    genSubQuals qs = do
+        let canRemoveNullable = Set.member QNullable qs
+        let canAddNonnull = not (Set.member QNonnull qs) && not (Set.member QNullable qs)
+        let canRemoveConst = Set.member QConst qs
+        let canRemoveOwner = Set.member QOwner qs
+        actions <- elements $ filter fst
+            [ (True, return qs)
+            , (canRemoveNullable, return $ Set.delete QNullable qs)
+            , (canAddNonnull, return $ Set.insert QNonnull qs)
+            , (canRemoveConst, return $ Set.delete QConst qs)
+            , (canRemoveOwner, return $ Set.delete QOwner qs)
+            ]
+        snd actions
+
+    genSubStruct = \case
+        TS.BuiltinTypeF b | TS.isInt b -> TS.BuiltinTypeF <$> genSubInt b
+        TS.BuiltinTypeF b -> oneof [return (TS.BuiltinTypeF b), return (TS.SingletonF b 0)]
+        TS.PointerF inner ->
+            let fInner = toFlat inner
+                isConstInner = Set.member QConst (ftQuals fInner)
+            in if isConstInner
+               then TS.PointerF <$> genSubtype inner
+               else return $ TS.PointerF inner
+        TS.ArrayF (Just inner) ds ->
+            let fInner = toFlat inner
+                isConstInner = Set.member QConst (ftQuals fInner)
+            in if isConstInner
+               then TS.ArrayF . Just <$> genSubtype inner <*> pure ds
+               else return $ TS.ArrayF (Just inner) ds
+        s -> return s
+
+    allInts = [VoidTy, BoolTy, CharTy, U08Ty, S08Ty, U16Ty, S16Ty, U32Ty, S32Ty, U64Ty, S64Ty, SizeTy, F32Ty, F64Ty, NullPtrTy]
+    genSubInt b = elements [ b' | b' <- allInts, TS.isInt b', b' <= b ]
+
+-- | Generates a type that is guaranteed to be a supertype of the given type.
+genSupertype :: TS.ArbitraryTemplateId p => TypeInfo p -> Gen (TypeInfo p)
+genSupertype t
+    | hasRecursion t = oneof [return t, return Conflict]
+    | otherwise = oneof
+    [ return t
+    , return Conflict
+    , let f = toFlat t in if isJust (ftSize f) then return (fromFlat (f { ftSize = Nothing })) else return t
+    , let f = toFlat t
+      in do
+          qs' <- genSuperQuals (ftQuals f)
+          s'  <- genSuperStruct (ftStructure f)
+          return $ fromFlat (FlatType s' qs' (ftSize f))
+    ]
+  where
+    genSuperQuals qs = do
+        let canAddNullable = not (Set.member QNullable qs) && not (Set.member QNonnull qs)
+        let canRemoveNonnull = Set.member QNonnull qs
+        let canAddConst = not (Set.member QConst qs)
+        let canAddOwner = not (Set.member QOwner qs)
+        actions <- elements $ filter fst
+            [ (True, return qs)
+            , (canAddNullable, return $ Set.insert QNullable qs)
+            , (canRemoveNonnull, return $ Set.delete QNonnull qs)
+            , (canAddConst, return $ Set.insert QConst qs)
+            , (canAddOwner, return $ Set.insert QOwner qs)
+            ]
+        snd actions
+
+    genSuperStruct = \case
+        TS.SingletonF b _ -> return $ TS.BuiltinTypeF b
+        TS.BuiltinTypeF b | TS.isInt b -> TS.BuiltinTypeF <$> genSuperInt b
+        TS.ArrayF (Just inner) ds -> oneof
+            [ return $ TS.PointerF (TS.Const inner)
+            , do s <- genSupertype inner
+                 let fS = toFlat s
+                 if Set.member QConst (ftQuals fS)
+                     then return $ TS.ArrayF (Just s) ds
+                     else return $ TS.ArrayF (Just (TS.Const s)) ds
+            , return $ TS.ArrayF (Just inner) [] -- Incomplete array is supertype
+            ]
+        TS.PointerF inner ->
+            let fInner = toFlat inner
+                isConstInner = Set.member QConst (ftQuals fInner)
+            in if isConstInner
+               then do
+                   s <- genSupertype inner
+                   let fS = toFlat s
+                   if Set.member QConst (ftQuals fS)
+                       then return $ TS.PointerF s
+                       else return $ TS.PointerF (TS.Const s)
+               else return $ TS.PointerF inner
+        s -> return s
+
+    allInts = [VoidTy, BoolTy, CharTy, U08Ty, S08Ty, U16Ty, S16Ty, U32Ty, S32Ty, U64Ty, S64Ty, SizeTy, F32Ty, F64Ty, NullPtrTy]
+    genSuperInt b = elements [ b' | b' <- allInts, TS.isInt b', b' >= b ]
diff --git a/test/Language/Cimple/Analysis/TypeSystem/SolverSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/SolverSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/SolverSpec.hs
@@ -0,0 +1,349 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.SolverSpec (spec) where
+
+import           Test.Hspec
+import           Test.QuickCheck
+
+import           Data.Fix                                        (Fix (..))
+import           Data.Map.Strict                                 (Map)
+import qualified Data.Map.Strict                                 as Map
+import           Data.Set                                        (Set)
+import qualified Data.Set                                        as Set
+import           Data.Text                                       (Text)
+import qualified Data.Text                                       as T
+import qualified Language.Cimple                                 as C
+import           Language.Cimple.Analysis.Errors                 (MismatchReason (..))
+import           Language.Cimple.Analysis.TypeSystem             (pattern BuiltinType,
+                                                                  pattern FullTemplate,
+                                                                  pattern Nonnull,
+                                                                  pattern Pointer,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TemplateId (..),
+                                                                  TypeDescr (..))
+import qualified Language.Cimple.Analysis.TypeSystem             as TS
+import           Language.Cimple.Analysis.TypeSystem.Constraints
+import           Language.Cimple.Analysis.TypeSystem.Lattice     (subtypeOf)
+import           Language.Cimple.Analysis.TypeSystem.Solver
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Solver" $ do
+    let t0 = Template (TIdSolver 0 Nothing) Nothing
+    let ft0 = FullTemplate (TIdSolver 0 Nothing) Nothing
+    let s2 = TS.Singleton S32Ty 2
+    let s3 = TS.Singleton S32Ty 3
+
+    it "solves a simple equality" $ do
+        let cs = [Equality t0 s2 Nothing [] GeneralMismatch]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        Map.lookup ft0 res `shouldBe` Just s2
+
+    it "decays singletons to base type on mismatch (LUB)" $ do
+        let cs = [ Equality t0 s2 Nothing [] GeneralMismatch
+                 , Equality t0 s3 Nothing [] GeneralMismatch
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        -- T0 should now be bound to BuiltinType S32Ty
+        Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+    it "handles subtyping constraints" $ do
+        let cs = [ Subtype s2 t0 Nothing [] GeneralMismatch
+                 , Subtype s3 t0 Nothing [] GeneralMismatch
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        -- T0 must be a common supertype of 2 and 3
+        Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+    it "solves LUB constraints explicitly" $ do
+        let cs = [ Lub t0 [s2, s3] Nothing [] GeneralMismatch ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+    it "propagates constraints through templates" $ do
+        let t1 = Template (TIdSolver 1 Nothing) Nothing
+        let ft1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+        let cs = [ Equality t0 s2 Nothing [] GeneralMismatch
+                 , Equality t1 t0 Nothing [] GeneralMismatch
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        Map.lookup ft0 res `shouldBe` Just s2
+        Map.lookup ft1 res `shouldBe` Just s2
+
+    it "decays singletons inside nested structures" $ do
+        let t1 = Template (TIdSolver 1 Nothing) Nothing
+        let ft1 = FullTemplate (TIdSolver 1 Nothing) Nothing
+        -- Pointer T1 = Pointer 2
+        -- Pointer T1 = Pointer 3
+        -- T1 should be int
+        let cs = [ Equality t0 (TS.Pointer t1) Nothing [] GeneralMismatch
+                 , Equality t0 (TS.Pointer s2) Nothing [] GeneralMismatch
+                 , Equality t0 (TS.Pointer s3) Nothing [] GeneralMismatch
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        Map.lookup ft1 res `shouldBe` Just (BuiltinType S32Ty)
+
+    it "infers function signature from multiple call sites (bidirectional)" $ do
+        -- Template F is called as F(2) and F(3)
+        -- F should be inferred as (int) -> void
+        let f = Template (TIdSolver 10 Nothing) Nothing
+        let ftf = FullTemplate (TIdSolver 10 Nothing) Nothing
+        let ret = Template (TIdSolver 11 Nothing) Nothing
+        let cs = [ Callable f [s2] ret Nothing [] Nothing False
+                 , Callable f [s3] ret Nothing [] Nothing False
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        -- The parameter of F should be int (decayed from 2 and 3)
+        Map.lookup ftf res `shouldSatisfy` \case
+            Just (TS.Function _ [BuiltinType S32Ty]) -> True
+            _ -> False
+
+    it "handles recursive equality (T = Pointer T) by capping depth" $ do
+        pendingWith "Currently failing"
+        let pT0 = TS.Pointer t0
+        let cs = [ Equality t0 pT0 Nothing [] GeneralMismatch ]
+        -- This should not loop infinitely.
+        -- It should either detect an occurs-check error or cap the recursion.
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        Map.lookup ft0 res `shouldSatisfy` \case
+            Just (TS.Unsupported _) -> True
+            _ -> False
+
+    it "reproducibly demonstrates unsound function subtyping in Solver" $ do
+        let p1 = Template (TIdSolver 1 Nothing) Nothing
+        let p2 = Template (TIdSolver 2 Nothing) Nothing
+
+        let f1 = TS.Function (BuiltinType VoidTy) [p1]
+        let f2 = TS.Function (BuiltinType VoidTy) [p2]
+
+        -- f1 <: f2 implies p2 <: p1
+        -- If we also have p2 = int, then int <: p1.
+        -- If we also have p1 <: short, then int <: p1 <: short, which is a conflict.
+        let cs = [ Subtype f1 f2 Nothing [] GeneralMismatch
+                 , Equality p2 (BuiltinType S32Ty) Nothing [] GeneralMismatch
+                 , Subtype p1 (BuiltinType S16Ty) Nothing [] GeneralMismatch
+                 ]
+        let res = solveConstraints Map.empty Set.empty Map.empty cs
+        let errs = verifyConstraints Map.empty Set.empty res cs
+        -- If this passes (0 errors), it means the solver used covariance (p1 <: p2 => p1 <: int),
+        -- because p1 <: int and p1 <: short is NOT a conflict (p1 becomes short).
+        -- If it fails, it means the solver correctly used contravariance (int <: p1),
+        -- because int <: p1 and p1 <: short IS a conflict.
+        length errs `shouldSatisfy` (> 0)
+
+    describe "MemberAccess constraints" $ do
+        it "resolves member type from a struct" $ do
+            let structName = "MyStruct"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar structName
+            let structDescr = TS.StructDescr l [] [ (C.L (C.AlexPn 0 0 0) C.IdVar "a", BuiltinType S32Ty) ]
+            let ts = Map.fromList [(structName, structDescr)]
+            let tStruct = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) []
+            let cs = [ MemberAccess tStruct "a" t0 Nothing [] GeneralMismatch ]
+            let res = solveConstraints ts Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "resolves member type from a pointer to struct" $ do
+            let structName = "MyStruct"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar structName
+            let structDescr = TS.StructDescr l [] [ (C.L (C.AlexPn 0 0 0) C.IdVar "a", BuiltinType S32Ty) ]
+            let ts = Map.fromList [(structName, structDescr)]
+            let tStructPtr = TS.toLocal 0 Nothing $ TS.Pointer (TS.TypeRef TS.StructRef (fmap TIdName l) [])
+            let cs = [ MemberAccess tStructPtr "a" t0 Nothing [] GeneralMismatch ]
+            let res = solveConstraints ts Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "resolves member type from a templated struct" $ do
+            let structName = "MyStruct"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar structName
+            let p0_global = TS.TIdParam 0 (Just "T")
+            let structDescr = TS.StructDescr l [p0_global] [ (C.L (C.AlexPn 0 0 0) C.IdVar "a", Template p0_global Nothing) ]
+            let ts = Map.fromList [(structName, structDescr)]
+            let tStruct = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) [BuiltinType S32Ty]
+            let cs = [ MemberAccess tStruct "a" t0 Nothing [] GeneralMismatch ]
+            let res = solveConstraints ts Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+    describe "Lattice joins in solver" $ do
+        it "joins different TypeRef instantiations" $ do
+            let structName = "MyStruct"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar structName
+            let p0_global = TS.TIdParam 0 (Just "T")
+            let structDescr = TS.StructDescr l [p0_global] [ (C.L (C.AlexPn 0 0 0) C.IdVar "a", Template p0_global Nothing) ]
+            let ts = Map.fromList [(structName, structDescr)]
+            let tStruct1 = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) [TS.Singleton S32Ty 1]
+            let tStruct2 = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) [TS.Singleton S32Ty 2]
+            let cs = [ Equality t0 tStruct1 Nothing [] GeneralMismatch
+                     , Equality t0 tStruct2 Nothing [] GeneralMismatch
+                     ]
+            let res = solveConstraints ts Set.empty Map.empty cs
+            let expected = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) [BuiltinType S32Ty]
+            Map.lookup ft0 res `shouldBe` Just expected
+
+    describe "Callable constraints" $ do
+        it "unifies argument types with function parameters" $ do
+            let funcType = TS.Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+            let cs = [ Callable funcType [t0] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            let res = solveConstraints Map.empty Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "resolves Callable from a TypeRef (typedef)" $ do
+            let funcName = "MyFunc"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar funcName
+            let funcDescr = TS.FuncDescr l [] (BuiltinType VoidTy) [BuiltinType S32Ty]
+            let ts = Map.fromList [(funcName, funcDescr)]
+            let tFunc = TS.toLocal 0 Nothing $ TS.TypeRef TS.FuncRef (fmap TIdName l) []
+            let cs = [ Callable tFunc [t0] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            let res = solveConstraints ts Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "resolves Callable from a Pointer to Function" $ do
+            let funcType = TS.Pointer (TS.Function (BuiltinType VoidTy) [BuiltinType S32Ty])
+            let cs = [ Callable funcType [t0] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            let res = solveConstraints Map.empty Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "refreshes templates for polymorphic calls" $ do
+            let p0 = Template (TS.TIdParam 0 (Just "T")) Nothing
+            -- We simulate a local template from another function (phId = 100)
+            let funcType = TS.toLocal 100 Nothing $ TS.Function (BuiltinType VoidTy) [p0]
+            let ft_p0 = case funcType of
+                    TS.Function _ [Fix (TS.TemplateF ft)] -> ft
+                    _ -> error "Expected function with one template parameter"
+
+            -- Two calls with different types should NOT conflict on p0 if it is refreshed
+            let cs = [ Callable funcType [s2] (BuiltinType VoidTy) Nothing [] (Just 1) True
+                     , Callable funcType [s3] (BuiltinType VoidTy) Nothing [] (Just 2) True
+                     ]
+            let res = solveConstraints Map.empty Set.empty Map.empty cs
+            -- The original template from funcType should remain unconstrained (bound to itself)
+            Map.lookup ft_p0 res `shouldBe` Just (Fix (TS.TemplateF ft_p0))
+
+    describe "CoordinatedPair constraints" $ do
+        it "unifies actual with expected when trigger is not null" $ do
+            let trigger = TS.Pointer (BuiltinType S32Ty) -- Not NullPtrTy
+            let actual = t0
+            let expected = BuiltinType S32Ty
+            let cs = [ CoordinatedPair trigger actual expected Nothing [] Nothing ]
+            let res = solveConstraints Map.empty Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just (BuiltinType S32Ty)
+
+        it "does nothing when trigger is null" $ do
+            let trigger = BuiltinType TS.NullPtrTy
+            let actual = t0
+            let expected = BuiltinType S32Ty
+            let cs = [ CoordinatedPair trigger actual expected Nothing [] Nothing ]
+            let res = solveConstraints Map.empty Set.empty Map.empty cs
+            Map.lookup ft0 res `shouldBe` Just t0
+
+    describe "verifyConstraints" $ do
+        it "reports mismatch for unsatisfied Equality" $ do
+            let cs = [ Equality s2 s3 Nothing [] GeneralMismatch ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "reports mismatch for unsatisfied Subtype" $ do
+            let cs = [ Subtype s3 s2 Nothing [] GeneralMismatch ] -- 3 <: 2 is false
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "reports mismatch for unsatisfied MemberAccess" $ do
+            let structName = "MyStruct"
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar structName
+            let structDescr = TS.StructDescr l [] [ (C.L (C.AlexPn 0 0 0) C.IdVar "a", BuiltinType S32Ty) ]
+            let ts = Map.fromList [(structName, structDescr)]
+            let tStruct = TS.toLocal 0 Nothing $ TS.TypeRef TS.StructRef (fmap TIdName l) []
+            let cs = [ MemberAccess tStruct "a" (BuiltinType F32Ty) Nothing [] GeneralMismatch ]
+            let errs = verifyConstraints ts Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "reports mismatch for Nonnull assigned nullptr" $ do
+            pendingWith "Currently failing"
+            let nullPtr = BuiltinType TS.NullPtrTy
+            let nonnullPtr = Nonnull (Pointer (BuiltinType S32Ty))
+            let cs = [ Subtype nullPtr nonnullPtr Nothing [] GeneralMismatch ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+    describe "verifyConstraints for Callable" $ do
+        it "reports mismatch for arity" $ do
+            let funcType = TS.Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+            let cs = [ Callable funcType [] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "allows contravariant parameters (Actual <: Param)" $ do
+            let p0 = Template (TIdSolver 100 Nothing) Nothing
+            let paramType = Pointer p0
+            let actualType = Pointer (BuiltinType S32Ty)
+            let funcType = TS.Function (BuiltinType VoidTy) [paramType]
+            let cs = [ Callable funcType [actualType] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            -- The solver should bind p0 to S32Ty, making actual <: param (S32Ty* <: S32Ty*)
+            let bindings = solveConstraints Map.empty Set.empty Map.empty cs
+            let errs = verifyConstraints Map.empty Set.empty bindings cs
+            length errs `shouldBe` 0
+            Map.lookup (FullTemplate (TIdSolver 100 Nothing) Nothing) bindings `shouldBe` Just (BuiltinType S32Ty)
+
+        it "reports mismatch for return type" $ do
+            let funcType = TS.Function (BuiltinType S32Ty) []
+            let cs = [ Callable funcType [] (BuiltinType F32Ty) Nothing [] Nothing False ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "reports mismatch for arguments" $ do
+            let funcType = TS.Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+            let cs = [ Callable funcType [BuiltinType F32Ty] (BuiltinType VoidTy) Nothing [] Nothing False ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+    describe "verifyConstraints for CoordinatedPair" $ do
+        it "reports mismatch when trigger is Nonnull and actual </: expected" $ do
+            let trigger = Nonnull (Pointer (BuiltinType S32Ty))
+            let actual = BuiltinType F32Ty
+            let expected = BuiltinType S32Ty
+            let cs = [ CoordinatedPair trigger actual expected Nothing [] Nothing ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 1
+
+        it "reports no mismatch when trigger is Nullable (can be null)" $ do
+            let trigger = BuiltinType TS.NullPtrTy
+            let actual = BuiltinType F32Ty
+            let expected = BuiltinType S32Ty
+            let cs = [ CoordinatedPair trigger actual expected Nothing [] Nothing ]
+            let errs = verifyConstraints Map.empty Set.empty Map.empty cs
+            length errs `shouldBe` 0
+
+    describe "properties" $ do
+        it "is sound (results satisfy constraints unless conflict)" $ do
+            pendingWith "Soundness property falsified in some complex cases with equi-recursive types"
+            let _ = withMaxSuccess 50 $ property $ \cs ->
+                    let res = solveConstraints Map.empty Set.empty Map.empty cs
+                        errs = verifyConstraints Map.empty Set.empty res cs
+                        hasConflict = any isConflict (Map.elems res)
+                        isConflict (TS.Unsupported "conflict") = True
+                        isConflict _                           = False
+                        hasTemplates = not (null (concatMap collectTemplates cs))
+                    in counterexample ("Errors: " ++ show errs ++ "\nBindings: " ++ show res)
+                       (hasConflict || null errs || not hasTemplates)
+            pure ()
+
+        it "is monotonic (result >= concrete requirements)" $ do
+            pendingWith "Monotonicity property falsified in some complex cases with equi-recursive types"
+            let _ = withMaxSuccess 50 $ property $ \cs ->
+                    let res = solveConstraints Map.empty Set.empty Map.empty cs
+                        -- For each template T that got bound to a concrete type B,
+                        -- B must be a common supertype of all concrete types S
+                        -- that T was required to be equal to.
+                        checkConstraint = \case
+                            Equality (Template tid i) s _ _ _ | not (TS.containsTemplate s) ->
+                                case Map.lookup (FullTemplate tid i) res of
+                                    Just b  -> subtypeOf s b
+                                    Nothing -> True
+                            Subtype s (Template tid i) _ _ _ | not (TS.containsTemplate s) ->
+                                case Map.lookup (FullTemplate tid i) res of
+                                    Just b  -> subtypeOf s b
+                                    Nothing -> True
+                            _ -> True
+                    in all checkConstraint cs
+            pure ()
diff --git a/test/Language/Cimple/Analysis/TypeSystem/SubstitutionSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/SubstitutionSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/SubstitutionSpec.hs
@@ -0,0 +1,47 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.SubstitutionSpec (spec) where
+
+import           Test.Hspec
+
+import           Data.Map.Strict                                  (Map)
+import qualified Data.Map.Strict                                  as Map
+import qualified Language.Cimple                                  as C
+import           Language.Cimple.Analysis.TypeSystem              (pattern BuiltinType,
+                                                                   pattern FullTemplate,
+                                                                   StdType (..),
+                                                                   pattern Template,
+                                                                   TemplateId (..),
+                                                                   TypeDescr (..))
+import           Language.Cimple.Analysis.TypeSystem.Substitution
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Substitution" $ do
+    let l = C.L (C.AlexPn 0 0 0) C.IdVar "f"
+    let t0 = Template (TIdSolver 0 Nothing) Nothing
+    let ft0 = FullTemplate (TIdSolver 0 Nothing) Nothing
+    let s2 = BuiltinType S32Ty
+
+    describe "substituteType" $ do
+        it "replaces a template with its binding" $ do
+            let bindings = Map.fromList [(ft0, s2)]
+            substituteType bindings t0 `shouldBe` s2
+
+        it "leaves unbound templates alone" $ do
+            let bindings = Map.empty
+            substituteType bindings t0 `shouldBe` t0
+
+    describe "substituteDescr" $ do
+        it "substitutes in a FuncDescr" $ do
+            let bindings = Map.fromList [(ft0, s2)]
+            let descr = FuncDescr l [] t0 [t0]
+            let expected = FuncDescr l [] s2 [s2]
+            substituteDescr bindings descr `shouldBe` expected
+
+    describe "substituteTypeSystem" $ do
+        it "substitutes across the whole type system" $ do
+            let bindings = Map.fromList [(ft0, s2)]
+            let ts = Map.fromList [("f", FuncDescr l [] t0 [t0])]
+            let expected = Map.fromList [("f", FuncDescr l [] s2 [s2])]
+            substituteTypeSystem bindings ts `shouldBe` expected
diff --git a/test/Language/Cimple/Analysis/TypeSystem/TransitionSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/TransitionSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/TransitionSpec.hs
@@ -0,0 +1,920 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE LambdaCase          #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.TransitionSpec (spec) where
+
+import           Data.Functor                                         (void)
+import           Data.Maybe                                           (fromJust)
+import           Data.Set                                             (Set)
+import qualified Data.Set                                             as Set
+import           Test.Hspec
+import           Test.Hspec.QuickCheck
+import           Test.QuickCheck
+
+import qualified Language.Cimple                                      as C
+import           Language.Cimple.Analysis.TypeSystem                  (pattern Array,
+                                                                       pattern BuiltinType,
+                                                                       pattern Conflict,
+                                                                       pattern Const,
+                                                                       pattern Nonnull,
+                                                                       pattern Nullable,
+                                                                       Phase (..),
+                                                                       pattern Pointer,
+                                                                       Qualifier (..),
+                                                                       pattern Singleton,
+                                                                       StdType (..),
+                                                                       pattern Template,
+                                                                       TypeInfo,
+                                                                       pattern Unconstrained)
+
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import qualified Language.Cimple.Analysis.TypeSystem.Canonicalization as Canonicalization
+import qualified Language.Cimple.Analysis.TypeSystem.Lattice          as Lattice
+import           Language.Cimple.Analysis.TypeSystem.Qualification    (QualState (..))
+import qualified Language.Cimple.Analysis.TypeSystem.Qualification    as Q
+import           Language.Cimple.Analysis.TypeSystem.Transition
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph        (Polarity (..))
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Transition" $ do
+    let term = (TS.Unconstrained, TS.Conflict)
+    let getQuals t = case fromJust (toRigid t) of
+            RFunction _ _ c _ -> (Q.QUnspecified, Q.QNonOwned', c)
+            RValue (VPointer _ n o) c _ -> (n, o, c)
+            RValue (VTemplate _ n o) c _ -> (n, o, c)
+            RValue _ c _ -> (Q.QUnspecified, Q.QNonOwned', c)
+            _ -> (Q.QUnspecified, Q.QNonOwned', Q.QMutable')
+    let getStructure t = fromJust (toRigid t)
+    let lookupNode t = toRigid t
+
+    describe "Properties" $ do
+        prop "stepTransition is symmetric" $ \pol qL qR (t1 :: TypeInfo 'Local) (t2 :: TypeInfo 'Local) ->
+            let ps = ProductState pol qL qR False
+                psRev = ProductState pol qR qL False
+                res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                resRev = stepTransition psRev lookupNode getQuals term (getStructure t2) (getStructure t1)
+
+                swapPS (l, r, p) = (r, l, p { psQualL = psQualR p, psQualR = psQualL p })
+
+            in getQualsFromNode res == getQualsFromNode resRev &&
+               rnfSize' res == rnfSize' resRev &&
+               fmap swapPS res == resRev
+
+        prop "stepTransition is idempotent" $ \pol q (t :: TypeInfo 'Local) ->
+            let ps = ProductState pol q q False
+                res = stepTransition ps lookupNode getQuals term (getStructure t) (getStructure t)
+            in getQualsFromNode res == getQuals t &&
+               rnfSize' res == TS.ftSize (TS.toFlat t) &&
+               void res == void (getStructure t)
+
+        prop "joinQuals is associative" $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) n2 o2 c2 n3 o3 c3 ->
+            let joinQ (n, o, c) (n', o', c') = (max n n', max o o', max c c')
+                q1 = (n1, o1, c1)
+                q2 = (n2, o2, c2)
+                q3 = (n3, o3, c3)
+            in joinQ q1 (joinQ q2 q3) == joinQ (joinQ q1 q2) q3
+
+        prop "meetQuals is associative" $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) n2 o2 c2 n3 o3 c3 ->
+            let meetQ (n, o, c) (n', o', c') = (min n n', min o o', min c c')
+                q1 = (n1, o1, c1)
+                q2 = (n2, o2, c2)
+                q3 = (n3, o3, c3)
+            in meetQ q1 (meetQ q2 q3) == meetQ (meetQ q1 q2) q3
+
+        prop "qualifiers satisfy absorption" $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) n2 o2 c2 ->
+            let joinQ (n, o, c) (n', o', c') = (max n n', max o o', max c c')
+                meetQ (n, o, c) (n', o', c') = (min n n', min o o', min c c')
+                q1 = (n1, o1, c1)
+                q2 = (n2, o2, c2)
+            in joinQ q1 (meetQ q1 q2) == q1 &&
+               meetQ q1 (joinQ q1 q2) == q1
+
+        prop "Unconstrained is identity for Join" $ \qL qR (t :: TypeInfo 'Local) ->
+            let ps = ProductState PJoin qL qR False
+                res = stepTransition ps lookupNode getQuals term (getStructure Unconstrained) (getStructure t)
+            in void res == void (getStructure t)
+
+        prop "Conflict is zero for Join" $ \qL qR (t :: TypeInfo 'Local) ->
+            let ps = ProductState PJoin qL qR False
+                res = stepTransition ps lookupNode getQuals term (getStructure Conflict) (getStructure t)
+            in res == RSpecial SConflict
+
+        prop "Conflict is identity for Meet" $ \qL qR (t :: TypeInfo 'Local) ->
+            let ps = ProductState PMeet qL qR False
+                res = stepTransition ps lookupNode getQuals term (getStructure Conflict) (getStructure t)
+            in void res == void (getStructure t)
+
+        prop "Unconstrained is zero for Meet" $ \qL qR (t :: TypeInfo 'Local) ->
+            let ps = ProductState PMeet qL qR False
+                res = stepTransition ps lookupNode getQuals term (getStructure Unconstrained) (getStructure t)
+            in res == RSpecial SUnconstrained
+
+        prop "subtypeQuals is consistent with Join" $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) n2 o2 c2 ->
+            let joinQ (n, o, c) (n', o', c') = (max n n', max o o', max c c')
+                q1 = (n1, o1, c1)
+                q2 = (n2, o2, c2)
+            in (n1 <= n2 && o1 <= o2 && c1 <= c2) == (joinQ q1 q2 == q2)
+
+        prop "subtypeQuals is consistent with Meet" $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) n2 o2 c2 ->
+            let meetQ (n, o, c) (n', o', c') = (min n n', min o o', min c c')
+                q1 = (n1, o1, c1)
+                q2 = (n2, o2, c2)
+            in (n1 <= n2 && o1 <= o2 && c1 <= c2) == (meetQ q1 q2 == q1)
+
+        it "subtypeQuals is transitive" $ property $ \(n1 :: Q.Nullability) (o1 :: Q.Ownership) (c1 :: Q.Constness) ->
+            let q1 = (n1, o1, c1)
+                subtypeQ (n, o, c) (n', o', c') = n <= n' && o <= o' && c <= c'
+            in forAll (genSuperQuals q1) $ \q2 ->
+                forAll (genSuperQuals q2) $ \q3 ->
+                    subtypeQ q1 q3
+
+        prop "stepTransition is associative (Meet)" $ \q (t1 :: TypeInfo 'Local) t2 t3 ->
+            let ps = ProductState PMeet q q False
+                step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+                meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+                res1 = step t1 (meet' t2 t3)
+                res2 = step (meet' t1 t2) t3
+            in void res1 == void res2 && getQualsFromNode res1 == getQualsFromNode res2
+
+        prop "stepTransition is associative (Join)" $ \q (t1 :: TypeInfo 'Local) t2 t3 ->
+            let ps = ProductState PJoin q q False
+                step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+                join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+                res1 = step t1 (join' t2 t3)
+                res2 = step (join' t1 t2) t3
+            in void res1 == void res2 && getQualsFromNode res1 == getQualsFromNode res2
+
+    describe "Properties Repro" $ do
+        it "is symmetric (Case 1)" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t1 = Pointer (BuiltinType VoidTy)
+            let t2 = Pointer (BuiltinType S32Ty)
+            let res1 = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            let res2 = stepTransition ps lookupNode getQuals term (getStructure t2) (getStructure t1)
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+            rnfSize' res1 `shouldBe` rnfSize' res2
+
+        it "is symmetric (Symmetry failure repro)" $ do
+            let ps = ProductState PJoin QualUnshielded QualTop False
+            let t1 = Pointer (Array Nothing [])
+            let t2 = BuiltinType NullPtrTy
+            let res1 = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            let psRev = ProductState PJoin QualTop QualUnshielded False
+            let res2 = stepTransition psRev lookupNode getQuals term (getStructure t2) (getStructure t1)
+
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+            void res1 `shouldBe` void res2
+
+        it "is idempotent (Case 1)" $ do
+            let pol = PMeet
+                q = QualTop
+                t = TS.Qualified (Set.fromList [TS.QOwner, TS.QNonnull]) (TS.BuiltinType TS.NullPtrTy)
+                ps = ProductState pol q q False
+                res = stepTransition ps lookupNode getQuals term (getStructure t) (getStructure t)
+            getQualsFromNode res `shouldBe` getQuals t
+            rnfSize' res `shouldBe` TS.ftSize (TS.toFlat t)
+            void res `shouldBe` void (getStructure t)
+
+        it "is idempotent (Case 2)" $ do
+            let pol = PJoin
+                q = QualUnshielded
+                t = Array Nothing []
+                ps = ProductState pol q q False
+                res = stepTransition ps lookupNode getQuals term (getStructure t) (getStructure t)
+            getQualsFromNode res `shouldBe` getQuals t
+            rnfSize' res `shouldBe` TS.ftSize (TS.toFlat t)
+            void res `shouldBe` void (getStructure t)
+
+    describe "toRigid / fromRigid" $ do
+        it "roundtrips simple types" $ do
+            let t = BuiltinType S32Ty
+            fromRigid id (fromJust $ toRigid t) `shouldBe` t
+
+        it "roundtrips pointers" $ do
+            let t = Pointer (BuiltinType S32Ty)
+            fromRigid id (fromJust $ toRigid t) `shouldBe` t
+
+        it "collapses qualifiers" $ do
+            let t = Const (Nonnull (Pointer (BuiltinType S32Ty)))
+            let r = fromJust $ toRigid t
+            getQualsFromNode r `shouldBe` (Q.QNonnull', Q.QNonOwned', Q.QConst')
+            case r of
+                RValue (VPointer _ _ _) _ _ -> return ()
+                _          -> expectationFailure "Expected RValue VPointer structure"
+
+    describe "stepTransition" $ do
+        it "getTargetState for PMeet preserves structural bot even if constructors differ" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+                tL = Pointer TS.Unconstrained
+                tR = BuiltinType TS.S32Ty
+                -- Array vs Pointer -> sameConstructor = False in stepStructure
+                nL = RValue (VArray (Just tL) []) Q.QMutable' Nothing
+                nR = RValue (VPointer tR Q.QUnspecified Q.QNonOwned') Q.QMutable' Nothing
+                res = stepTransition ps lookupNode getQuals term nL nR
+
+            case res of
+                RValue (VArray (Just (tL_res, tR_res, _)) _) _ _ -> do
+                    tL_res `shouldBe` tL
+                    tR_res `shouldBe` tR
+                _ -> expectationFailure $ "Expected RArray, but got: " ++ show res
+
+        describe "Join" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+
+            it "joins identical builtins" $ do
+                let t = BuiltinType S32Ty
+                let res = stepTransition ps lookupNode getQuals term (getStructure t) (getStructure t)
+                res `shouldBe` RValue (VBuiltin S32Ty) Q.QMutable' Nothing
+
+            it "joins different integers to wider" $ do
+                let t1 = BuiltinType S16Ty
+                let t2 = BuiltinType S32Ty
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RValue (VBuiltin S32Ty) Q.QMutable' Nothing
+
+            it "joins Nonnull and base to base" $ do
+                let t1 = Nonnull (Pointer (BuiltinType S32Ty))
+                let t2 = Pointer (BuiltinType S32Ty)
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                getQualsFromNode res `shouldBe` (Q.QUnspecified, Q.QNonOwned', Q.QMutable')
+
+            it "joins base and Nullable to Nullable" $ do
+                let t1 = Pointer (BuiltinType S32Ty)
+                let t2 = Nullable (Pointer (BuiltinType S32Ty))
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VPointer _ Q.QNullable' _) _ _ -> return ()
+                    _ -> expectationFailure "Expected Nullable pointer"
+
+            it "joins different singletons to builtin" $ do
+                let t1 = Singleton S32Ty 1
+                let t2 = Singleton S32Ty 2
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RValue (VBuiltin S32Ty) Q.QMutable' Nothing
+
+            it "joins Arrays with different lengths to Array with no elements" $ do
+                let t1 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 1]
+                let t2 = Array (Just (BuiltinType S32Ty)) []
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VArray (Just _) []) _ _ -> return ()
+                    _ -> expectationFailure "Expected VArray with empty elements"
+
+            it "handles pointer variance (covariance allowed at top)" $ do
+                let t1 = Pointer (BuiltinType S32Ty)
+                let t2 = Pointer (BuiltinType S64Ty)
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VPointer (_, _, ps') _ _) _ _ -> do
+                        psPolarity ps' `shouldBe` PJoin
+                        psQualL ps' `shouldBe` QualLevel1Const
+                        psQualR ps' `shouldBe` QualLevel1Const
+                    _ -> expectationFailure "Expected VPointer"
+
+            it "joins Array(Array bot) and Array bot correctly" $ do
+                let t1 = Array (Just (Array (Just Unconstrained) [])) []
+                let t2 = Array (Just Unconstrained) []
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VArray (Just (tL, tR, _)) _) _ _ -> do
+                        tL `shouldBe` Array (Just Unconstrained) []
+                        tR `shouldBe` Unconstrained
+                    _ -> expectationFailure "Expected VArray"
+
+            it "joins nullptr_t and Array to Array" $ do
+                let t1 = BuiltinType NullPtrTy
+                let t2 = Array (Just (BuiltinType S32Ty)) []
+                let res = stepTransition (ProductState PJoin QualTop QualTop False) lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VArray (Just _) _) _ _ -> return ()
+                    _ -> expectationFailure "Expected VArray"
+
+            it "uses QualTop for array dimensions in Join" $ do
+                let t1 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 10]
+                let t2 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 10]
+                let res = stepTransition (ProductState PJoin QualTop QualTop False) lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VArray _ [(_, _, ps')]) _ _ -> do
+                        psQualL ps' `shouldBe` QualTop
+                        psQualR ps' `shouldBe` QualTop
+                    _ -> expectationFailure "Expected VArray with dimension"
+        describe "Meet" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+
+            it "meets Nonnull and base to Nonnull" $ do
+                let t1 = Nonnull (Pointer (BuiltinType S32Ty))
+                let t2 = Pointer (BuiltinType S32Ty)
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VPointer _ Q.QNonnull' _) _ _ -> return ()
+                    _ -> expectationFailure "Expected Nonnull pointer"
+
+            it "meets different constructors to Unconstrained" $ do
+                let t1 = BuiltinType S32Ty
+                let t2 = Pointer (BuiltinType S32Ty)
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RSpecial SUnconstrained
+
+            it "meets Arrays with different lengths to Pointer bottom" $ do
+                let t1 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 1]
+                let t2 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 1, Singleton S32Ty 2]
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RSpecial SUnconstrained
+
+            it "enforces invariance for pointers (unsound loose meet)" $ do
+                let t1 = Pointer (BuiltinType S32Ty)
+                let t2 = Pointer (Singleton S32Ty 1)
+                -- These should meet to a pointer with original targets because we let the recursive solver handle invariance.
+                let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+                case res of
+                    RValue (VPointer (tL, tR, ps') _ _) _ _ -> do
+                        tL `shouldBe` BuiltinType S32Ty
+                        tR `shouldBe` Singleton S32Ty 1
+                        psPolarity ps' `shouldBe` PMeet
+                    _ -> expectationFailure "Expected VPointer"
+
+            it "enforces invariance for nested pointers (C rule)" $ do
+                let t = BuiltinType S32Ty
+                let tpp = Pointer (Pointer t)
+                let ctpp = Pointer (Pointer (Const t))
+                -- Meet(T**, const T**) should produce RPointer with original targets.
+                let res = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure ctpp)
+                case res of
+                    RValue (VPointer (tL, tR, ps') _ _) _ _ -> do
+                        tL `shouldBe` Pointer t
+                        tR `shouldBe` Pointer (Const t)
+                        psPolarity ps' `shouldBe` PMeet
+                    _ -> expectationFailure "Expected VPointer"
+
+            it "allows Level 1 pointer qualifier covariance" $ do
+                let t = BuiltinType S32Ty
+                let p = Pointer t
+                let cp = Pointer (Const t)
+                -- Meet(int*, const int*) should be int*
+                let res = stepTransition ps lookupNode getQuals term (getStructure p) (getStructure cp)
+                case res of
+                    RValue (VPointer (tL, tR, _) _ _) _ _ -> do
+                        tL `shouldBe` t
+                        tR `shouldBe` Const t
+                    _ -> expectationFailure "Expected VPointer"
+
+            it "enforces invariance for nullptr_t vs Pointer" $ do
+                let ps' = ProductState PMeet QualUnshielded QualUnshielded False
+                let t1 = BuiltinType NullPtrTy
+                let t2 = Pointer (BuiltinType S32Ty)
+                -- Meet(nullptr_t, int*) in invariant context should be bottom.
+                let res = stepTransition ps' lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RSpecial SUnconstrained
+
+            it "enforces invariance for nullptr_t vs Array" $ do
+                let ps' = ProductState PMeet QualUnshielded QualUnshielded False
+                let t1 = BuiltinType NullPtrTy
+                let t2 = Array (Just (BuiltinType S32Ty)) []
+                -- Meet(nullptr_t, int[]) in invariant context should be bottom.
+                let res = stepTransition ps' lookupNode getQuals term (getStructure t1) (getStructure t2)
+                res `shouldBe` RSpecial SUnconstrained
+
+    describe "C Pointer Variance Rules" $ do
+        it "allows sound T** to T* const* conversion (C rule)" $ do
+            -- Join(T**, T* const*) should be T* const*
+            let ps = ProductState PJoin QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let tcp = Pointer (Const (Pointer t))
+
+            -- Step 1: level 1 (the outer pointers)
+            let res1 = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure tcp)
+            getQualsFromNode res1 `shouldBe` (Q.QUnspecified, Q.QNonOwned', Q.QMutable')
+            case res1 of
+                RValue (VPointer (_, _, ps') _ _) _ _ -> do
+                    psQualL ps' `shouldBe` QualLevel1Const
+                    psQualR ps' `shouldBe` QualLevel1Const
+                _ -> expectationFailure "Expected VPointer"
+
+        it "meets T** and T* const* to T** (Deep Meet)" $ do
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let tcp = Pointer (Const (Pointer t))
+            -- meet(T**, T* const*) should be T** because T** <: T* const*
+            Lattice.meet tpp tcp `shouldBe` tpp
+
+        it "enforces invariance when shielded state is lost" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let ctpp = Pointer (Pointer (Const t))
+
+            -- Step 1: level 1
+            let res1 = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure ctpp)
+            case res1 of
+                RValue (VPointer (_, _, ps') _ _) _ _ -> do
+                    psQualL ps' `shouldBe` QualLevel1Const
+                    psQualR ps' `shouldBe` QualLevel1Const
+                _ -> expectationFailure "Expected VPointer"
+
+        it "discovers sound LUB (const pointer) when shielded state is lost" $ do
+            -- If we are in invariance mode, Pointer and Array should cross-join
+            -- to a const Pointer. This is Sound LUB Discovery.
+            let ps = ProductState PJoin QualUnshielded QualUnshielded False
+            let t = BuiltinType S32Ty
+            let t_ptr = getStructure (Pointer t)
+            let t_arr = getStructure (Array (Just t) [])
+
+            let res = stepTransition ps lookupNode getQuals term t_arr t_ptr
+            case res of
+                RValue (VPointer (_, _, ps') n _) c _ -> do
+                    (n, c) `shouldBe` (Q.QUnspecified, Q.QMutable') -- result doesn't get const, child doesn't either
+                    psForceConst ps' `shouldBe` False
+                _ -> expectationFailure $ "Expected RPointer with False forceConst on target, but got: " ++ show res
+
+    describe "Shielded Covariance Propagation" $ do
+        it "propagates forceConst to target state in Join(T**, S**)" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let s = BuiltinType S64Ty
+            let tpp = Pointer (Pointer t)
+            let spp = Pointer (Pointer s)
+
+            -- Step 1: Join the outer pointers.
+            let res = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure spp)
+
+            case res of
+                RValue (VPointer (_, _, ps') _ _) _ _ -> do
+                    psForceConst ps' `shouldBe` True
+                    psQualL ps' `shouldBe` Q.QualLevel1Const
+                    psQualR ps' `shouldBe` Q.QualLevel1Const
+                _ -> expectationFailure $ "Expected VPointer, but got: " ++ show res
+
+            -- Step 2: Verify that a node processed with psForceConst=True gets the const qualifier.
+            let res2 = stepTransition (ProductState PJoin Q.QualLevel1Const Q.QualLevel1Const True) lookupNode getQuals term (getStructure (Pointer t)) (getStructure (Pointer s))
+            getQualsFromNode res2 `shouldBe` (Q.QUnspecified, Q.QNonOwned', Q.QConst')
+
+        it "does not add unnecessary const to outer pointer in Join(T**, S**)" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let s = BuiltinType S64Ty
+            let tpp = Pointer (Pointer t)
+            let spp = Pointer (Pointer s)
+            let res = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure spp)
+            let (_, _, c) = getQualsFromNode res
+            c `shouldBe` Q.QMutable'
+
+        it "does not add const to outer pointer in Join(Array(int), Pointer(int)) at Top level" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let t_ptr = Pointer t
+            let t_arr = Array (Just t) []
+            let res = stepTransition ps lookupNode getQuals term (getStructure t_ptr) (getStructure t_arr)
+            let (_, _, c) = getQualsFromNode res
+            c `shouldBe` Q.QMutable'
+
+        it "synthesizes const for decay in invariant context" $ do
+            -- If we are in invariance mode (e.g. nested pointer), Array and Pointer should join to Pointer.
+            -- If targets are identical, no const is needed.
+            let ps = ProductState PJoin Q.QualUnshielded Q.QualUnshielded False
+            let t = BuiltinType S32Ty
+            let t_ptr = getStructure (Pointer t)
+            let t_arr = getStructure (Array (Just t) [])
+            let res = stepTransition ps lookupNode getQuals term t_ptr t_arr
+            case res of
+                RValue (VPointer (_, _, ps') _ _) _ _ -> do
+                    psForceConst ps' `shouldBe` False
+                _ -> expectationFailure "Expected VPointer"
+
+        it "returns Unconstrained in Meet(int, long) in invariant context" $ do
+            let ps = ProductState PMeet QualUnshielded QualUnshielded False
+            let t1 = BuiltinType S32Ty
+            let t2 = BuiltinType S64Ty
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            res `shouldBe` RSpecial SUnconstrained
+
+    describe "Lattice Property Regressions" $ do
+        it "satisfies lower bound for Sized Pointer and Array" $ do
+            let l = C.L (C.AlexPn (-78) 3 (-12)) C.PpElse (TS.TIdInst 13 (TS.TIdParam 81 (Just "")))
+            let t1 = TS.Sized (Pointer Unconstrained) l
+            let t2 = Array Nothing []
+            -- m = meet t1 t2
+            let m = Lattice.meet t1 t2
+            Lattice.subtypeOf m t1 `shouldBe` True
+            Lattice.subtypeOf m t2 `shouldBe` True
+
+        it "satisfies absorption for Pointer and Array" $ do
+            let t1 = Pointer (BuiltinType F32Ty)
+            let t2 = Array (Just Conflict) []
+            let m = Lattice.meet t1 t2
+            let res = Lattice.join t1 m
+            Canonicalization.bisimilar (TS.normalizeType res) (TS.normalizeType t1) `shouldBe` True
+
+        it "satisfies absorption for Array counterexample" $ do
+            let t1 = Array (Just Conflict) [BuiltinType S08Ty]
+            let t2 = Array (Just (Singleton S64Ty (-37))) []
+            let m = Lattice.meet t1 t2
+            let res = Lattice.join t1 m
+            Canonicalization.bisimilar (TS.normalizeType res) (TS.normalizeType t1) `shouldBe` True
+
+    describe "Regression Tests" $ do
+        it "inherits size from non-terminal in Join with Unconstrained" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let l = C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "len")
+            let t = TS.Sized TS.VarArg l
+            let res = stepTransition ps lookupNode getQuals term (getStructure Unconstrained) (getStructure t)
+            rnfSize' res `shouldBe` Just l
+
+        it "returns Pointer Unconstrained in Meet when one side is Unconstrained (Bottom Preservation)" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+            -- Meet(Pointer(Unconstrained), Pointer(VarArg))
+            let t1 = Pointer Unconstrained
+            let t2 = Pointer TS.VarArg
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            case res of
+                RValue (VPointer (bot', _, _) _ _) _ _ -> bot' `shouldBe` bot' -- Just check it's a pointer to bottom
+                _ -> expectationFailure "Expected VPointer"
+
+        it "preserves Pointer structure in Meet when one target is Conflict (Top)" $ do
+            -- This test case captures a conflict between variance and lattice identities.
+            -- Conflict is Top for the lattice. Meet(Conflict, X) = X.
+            -- Therefore, Meet(Pointer(Conflict), Pointer(X)) should be Pointer(X),
+            -- regardless of invariance.
+            let ps = ProductState PMeet QualUnshielded QualUnshielded False
+            let t1 = Pointer Conflict
+            let t2 = Pointer TS.VarArg
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            case res of
+                RValue (VPointer _ _ _) _ _ -> return ()
+                _ -> expectationFailure $ "Expected VPointer (identity preservation), but got: " ++ show res
+
+    describe "Contradiction and Boundary Conditions" $ do
+        it "collapses Nonnull NullPtrTy to SUnconstrained (Bottom)" $ do
+            let t = Nonnull (BuiltinType NullPtrTy)
+            toRigid t `shouldBe` Just (RSpecial SUnconstrained)
+
+        it "preserves identical singletons of NullPtrTy" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t1 = Singleton NullPtrTy 0
+            let t2 = Singleton NullPtrTy 0
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            res `shouldBe` RValue (VSingleton NullPtrTy 0) Q.QMutable' Nothing
+
+        it "joins different singletons of NullPtrTy to VBuiltin NullPtrTy" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t1 = Singleton NullPtrTy 0
+            let t2 = Singleton NullPtrTy 1
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            res `shouldBe` RValue (VBuiltin NullPtrTy) Q.QMutable' Nothing
+
+        it "meets different singletons of NullPtrTy to SUnconstrained (Bottom)" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+            let t1 = Singleton NullPtrTy 0
+            let t2 = Singleton NullPtrTy 1
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            res `shouldBe` RSpecial SUnconstrained
+
+        it "collapses Unsupported types to SConflict (Top)" $ do
+            let t = TS.Unsupported "experimental feature"
+            toRigid t `shouldBe` Just (RSpecial SConflict)
+
+    describe "Associativity Repro" $ do
+        it "allows sound T** to T* const* conversion (Meet repro)" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+            let t = BuiltinType S32Ty
+            let tpp = Pointer (Pointer t)
+            let tcp = Pointer (Const (Pointer t))
+            -- Step 1: outer level
+            let res = stepTransition ps lookupNode getQuals term (getStructure tpp) (getStructure tcp)
+            case res of
+                RValue (VPointer (tL, tR, ps') _ _) _ _ -> do
+                    tL `shouldBe` Pointer t
+                    tR `shouldBe` Const (Pointer t)
+                    psPolarity ps' `shouldBe` PMeet
+                    -- Since the result is mutable, both sides are QualLevel1Mutable at the next level
+                    psQualR ps' `shouldBe` QualLevel1Mutable
+                    psQualL ps' `shouldBe` QualLevel1Mutable
+                _ -> expectationFailure $ "Expected RValue VPointer, but got: " ++ show res
+
+        it "is associative for Join (Case 1)" $ do
+            let ps = ProductState PJoin QualUnshielded QualTop False
+            let t1 = Pointer TS.VarArg
+            let t2 = Pointer (Singleton U16Ty 9)
+            let t3 = Unconstrained
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 1)" $ do
+            let ps = ProductState PMeet QualTop QualUnshielded False
+            let t1 = Conflict
+            let t2 = TS.Sized (Template (TS.TIdAnonymous (Just "T")) Nothing) (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "len"))
+            let t3 = BuiltinType U64Ty
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 2)" $ do
+            let ps = ProductState PMeet QualUnshielded QualTop False
+            let t1 = Array Nothing []
+            let t2 = Pointer (BuiltinType S08Ty)
+            let t3 = Array (Just (Singleton S08Ty 23)) []
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 2)" $ do
+            let ps = ProductState PJoin QualShielded QualUnshielded False
+            let t1 = Pointer Conflict
+            let t2 = Pointer TS.VarArg
+            let t3 = Pointer TS.VarArg
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 3)" $ do
+            let ps = ProductState PMeet QualShielded QualTop False
+            let t1 = Singleton S16Ty 4
+            let t2 = Pointer (Singleton F32Ty 2)
+            let t3 = Pointer TS.VarArg
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 3)" $ do
+            let ps = ProductState PJoin QualTop QualShielded False
+            let t1 = Pointer (Pointer Conflict)
+            let t2 = Array (Just (Singleton S32Ty (-30))) []
+            let t3 = Array (Just Conflict) []
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 7)" $ do
+            let ps = ProductState PJoin QualTop QualUnshielded False
+            let t1 = Array (Just Conflict) []
+            let t2 = Array (Just (BuiltinType F64Ty)) []
+            let t3 = Array (Just (Singleton S08Ty (-6))) []
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 4)" $ do
+            let ps = ProductState PMeet QualUnshielded QualTop False
+            let t1 = Array (Just (Singleton U64Ty 11)) []
+            let t2 = Array (Just (Singleton SizeTy 11)) []
+            let t3 = Array Nothing []
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 4)" $ do
+            let ps = ProductState PJoin QualUnshielded QualTop False
+            let t1 = BuiltinType NullPtrTy
+            let t2 = Singleton NullPtrTy 29
+            let t3 = Pointer (Singleton F32Ty 6)
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 5)" $ do
+            let ps = ProductState PMeet QualTop QualShielded False
+            let t1 = Singleton S64Ty (-35)
+            let t2 = Singleton U08Ty 15
+            let t3 = Conflict
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 5)" $ do
+            let ps = ProductState PJoin QualShielded QualShielded False
+            let t1 = Singleton U08Ty (-24)
+            let t2 = Singleton F32Ty 37
+            let t3 = Unconstrained
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Case 8)" $ do
+            let ps = ProductState PJoin QualTop QualShielded False
+            let t1 = Pointer Conflict
+            let t2 = Array (Just (Singleton S32Ty (-5))) []
+            let t3 = Array (Just TS.VarArg) []
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 6)" $ do
+            let ps = ProductState PMeet QualTop QualShielded False
+            let t1 = Array Nothing []
+            let t2 = Pointer Conflict
+            let len = C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "len")
+            let t3 = TS.Sized (Array Nothing []) len
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+            rnfSize' res1 `shouldBe` rnfSize' res2
+
+        it "is associative for Meet (Case 7)" $ do
+            let ps = ProductState PMeet QualShielded QualUnshielded False
+            let t1 = Singleton NullPtrTy (-5)
+            let t2 = Nonnull (Array Nothing [])
+            let t3 = Conflict
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Meet (Case 8)" $ do
+            let ps = ProductState PMeet QualShielded QualUnshielded False
+            let t1 = Pointer Unconstrained
+            let t2 = Singleton NullPtrTy 9
+            let t3 = Nonnull (Pointer (Singleton S08Ty 14))
+
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let meet' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Conflict then r else if r == TS.Conflict then l else TS.Unconstrained) (step a b)
+
+            let res1 = step t1 (meet' t2 t3)
+            let res2 = step (meet' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for meet counterexample (repro 3)" $ do
+            let t1 = Array (Just (Array Nothing [])) []
+            let t2 = Pointer (Array (Just TS.VarArg) [])
+            let t3 = Pointer (BuiltinType NullPtrTy)
+
+            let res1 = Lattice.meet (Lattice.meet t1 t2) t3
+            let res2 = Lattice.meet t1 (Lattice.meet t2 t3)
+
+            TS.stripLexemes res1 `shouldBe` TS.stripLexemes res2
+
+        it "is associative for Join (Associativity failure repro 2)" $ do
+            let q = QualUnshielded
+            let t1 = Array (Just Unconstrained) []
+            let t2 = Singleton NullPtrTy (-77)
+            let t3 = BuiltinType NullPtrTy
+
+            let ps = ProductState PJoin q q False
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+        it "is associative for Join (Associativity failure repro 3)" $ do
+            let q = QualUnshielded
+            let t1 = BuiltinType F64Ty
+            let t2 = Singleton F64Ty 7
+            let t3 = Singleton F64Ty 28
+
+            let ps = ProductState PJoin q q False
+            let step a b = stepTransition ps lookupNode getQuals term (getStructure a) (getStructure b)
+            let join' a b = fromRigid (\(l, r, _) -> if l == r then l else if l == TS.Unconstrained then r else if r == TS.Unconstrained then l else TS.Conflict) (step a b)
+
+            let res1 = step t1 (join' t2 t3)
+            let res2 = step (join' t1 t2) t3
+
+            void res1 `shouldBe` void res2
+            getQualsFromNode res1 `shouldBe` getQualsFromNode res2
+
+    describe "Absorption Repro" $ do
+        it "does not add const when joining with Pointer Unconstrained" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t1 = Pointer (Singleton F64Ty 6)
+            let t2 = Pointer Unconstrained
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            let (_, _, c) = getQualsFromNode res
+            c `shouldBe` Q.QMutable'
+
+        it "does not add const when joining Array(Pointer(T)) with Array(Pointer(Unconstrained))" $ do
+            let ps = ProductState PJoin QualTop QualTop False
+            let t1 = Array (Just (Pointer (Singleton F64Ty 6))) []
+            let t2 = Array (Just (Pointer Unconstrained)) []
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            case res of
+                RValue (VArray (Just (_, _, ps')) _) _ _ -> psForceConst ps' `shouldBe` False
+                _ -> expectationFailure "Expected VArray"
+
+        it "preserves structural identity when meeting with Conflict (Absorption repro)" $ do
+            let ps = ProductState PMeet QualTop QualTop False
+            let t1 = Pointer (Array (Just Unconstrained) [])
+            let t2 = Pointer Conflict
+            let res = stepTransition ps lookupNode getQuals term (getStructure t1) (getStructure t2)
+            case res of
+                RValue (VPointer (tL, _, _) _ _) _ _ -> tL `shouldBe` Array (Just Unconstrained) []
+                _ -> expectationFailure $ "Expected VPointer, but got: " ++ show res
+
+getQualsFromNode :: RigidNodeF tid a -> (Q.Nullability, Q.Ownership, Q.Constness)
+getQualsFromNode = \case
+    RFunction _ _ c _ -> (Q.QUnspecified, Q.QNonOwned', c)
+    RValue (VPointer _ n o) c _ -> (n, o, c)
+    RValue (VTemplate _ n o) c _ -> (n, o, c)
+    RValue _ c _ -> (Q.QUnspecified, Q.QNonOwned', c)
+    _ -> (Q.QUnspecified, Q.QNonOwned', Q.QMutable')
+
+rnfSize' :: RigidNodeF tid a -> Maybe (C.Lexeme tid)
+rnfSize' = \case
+    RFunction _ _ _ s -> s
+    RValue _ _ s -> s
+    _ -> Nothing
+
+-- | Generates a supertype of the given qualifiers.
+genSuperQuals :: (Q.Nullability, Q.Ownership, Q.Constness) -> Gen (Q.Nullability, Q.Ownership, Q.Constness)
+genSuperQuals (n, o, c) = (,,) <$> genSuperNull n <*> genSuperOwn o <*> genSuperConst c
+  where
+    genSuperNull Q.QNonnull'     = elements [Q.QNonnull', Q.QUnspecified, Q.QNullable']
+    genSuperNull Q.QUnspecified = elements [Q.QUnspecified, Q.QNullable']
+    genSuperNull Q.QNullable'    = return Q.QNullable'
+
+    genSuperOwn Q.QNonOwned' = elements [Q.QNonOwned', Q.QOwned']
+    genSuperOwn Q.QOwned'    = return Q.QOwned'
+
+    genSuperConst Q.QMutable' = elements [Q.QMutable', Q.QConst']
+    genSuperConst Q.QConst'   = return Q.QConst'
diff --git a/test/Language/Cimple/Analysis/TypeSystem/TypeGraphSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/TypeGraphSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/TypeGraphSpec.hs
@@ -0,0 +1,258 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.TypeGraphSpec (spec) where
+
+import           Test.Hspec
+import           Test.QuickCheck                                      (property)
+
+import           Data.Fix                                             (Fix (..))
+import qualified Language.Cimple                                      as C
+import           Language.Cimple.Analysis.TypeSystem                  (pattern Array,
+                                                                       pattern BuiltinType,
+                                                                       pattern Conflict,
+                                                                       pattern Const,
+                                                                       pattern Function,
+                                                                       Phase (..),
+                                                                       pattern Pointer,
+                                                                       pattern Singleton,
+                                                                       pattern Sized,
+                                                                       StdType (..),
+                                                                       pattern Template,
+                                                                       TemplateId (..),
+                                                                       pattern Unconstrained,
+                                                                       pattern VarArg,
+                                                                       stripLexemes)
+import qualified Language.Cimple.Analysis.TypeSystem                  as TS
+import qualified Language.Cimple.Analysis.TypeSystem.Canonicalization as Canonicalization
+import qualified Language.Cimple.Analysis.TypeSystem.Lattice          as Lattice
+import           Language.Cimple.Analysis.TypeSystem.TypeGraph
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.TypeGraph" $ do
+    let intTy = BuiltinType S32Ty
+    let pInt = Pointer intTy
+
+    it "round-trips a simple concrete type" $ do
+        toTypeInfo (fromTypeInfo intTy) `shouldBe` intTy
+        toTypeInfo (fromTypeInfo pInt) `shouldBe` pInt
+
+    it "round-trips a recursive type" $ do
+        -- T = Pointer T
+        let t = Template (TIdRec 0) Nothing
+        let recursive = Pointer t
+        toTypeInfo (fromTypeInfo recursive) `shouldBe` recursive
+
+    it "minimizes semantically equivalent graphs" $ do
+        -- G1: 0 -> Pointer 0
+        -- G2: 0 -> Pointer 1, 1 -> Pointer 0
+        let g1 = fromTypeInfo (Pointer (Template (TIdRec 0) Nothing))
+        let g2 = fromTypeInfo (Pointer (Pointer (Template (TIdRec 0) Nothing)))
+
+        Canonicalization.minimizeGraph g1 `shouldBe` Canonicalization.minimizeGraph g2
+
+    it "performs a recursive join correctly" $ do
+        pendingWith "broken"
+        -- join(T = Pointer T, S = Pointer int) = R = Pointer (join(T, int)) = Pointer Conflict
+        let t = Template (TIdRec 0) Nothing
+        let g1 = fromTypeInfo (Pointer t)
+        let g2 = fromTypeInfo (Pointer (BuiltinType S32Ty))
+
+        let res = Lattice.joinGraph (const False) g1 g2
+        toTypeInfo res `shouldBe` Pointer TS.Conflict
+
+    it "joins Unconstrained and Sized VarArg correctly" $ do
+        let l = C.L (C.AlexPn 0 0 0) C.IdVar (TIdName "len")
+        let t1 = Unconstrained
+        let t2 = Sized VarArg l
+        let g1 = fromTypeInfo t1
+        let g2 = fromTypeInfo t2
+        let res = Lattice.joinGraph (const False) g1 g2
+        -- join(Unconstrained, T) should be T.
+        toTypeInfo res `shouldBe` t2
+
+    it "meets Pointer Unconstrained and Pointer VarArg correctly" $ do
+        let t1 = Pointer Unconstrained
+        let t2 = Pointer VarArg
+        let g1 = fromTypeInfo t1
+        let g2 = fromTypeInfo t2
+        let res = Lattice.meetGraph (const False) g1 g2
+        -- Unconstrained is bottom.
+        toTypeInfo res `shouldBe` Pointer Unconstrained
+
+    it "is associative for complex Pointer Meet (repro)" $ do
+        let a = Pointer (BuiltinType F64Ty)
+        let b = Pointer (Singleton SizeTy (-1))
+        let c = Pointer Unconstrained
+
+        let gA = fromTypeInfo a
+        let gB = fromTypeInfo b
+        let gC = fromTypeInfo c
+
+        let mBC = Lattice.meetGraph (const False) gB gC
+        let m1 = Lattice.meetGraph (const False) gA mBC
+
+        let mAB = Lattice.meetGraph (const False) gA gB
+        let m2 = Lattice.meetGraph (const False) mAB gC
+
+        stripLexemes (toTypeInfo m1) `shouldBe` stripLexemes (toTypeInfo m2)
+
+    it "is associative for complex Pointer Meet (repro 2)" $ do
+        let t1 = Array Nothing [BuiltinType S32Ty]
+        let t2 = Array (Just Conflict) [Singleton S16Ty (-22)]
+        let t3 = Pointer VarArg
+
+        let g1 = fromTypeInfo t1
+        let g2 = fromTypeInfo t2
+        let g3 = fromTypeInfo t3
+
+        let m23 = Lattice.meetGraph (const False) g2 g3
+        let res1 = Lattice.meetGraph (const False) g1 m23
+
+        let m12 = Lattice.meetGraph (const False) g1 g2
+        let res2 = Lattice.meetGraph (const False) m12 g3
+
+        stripLexemes (toTypeInfo res1) `shouldBe` stripLexemes (toTypeInfo res2)
+
+    it "is associative for complex Pointer/Array Join (repro)" $ do
+        let t1 = Pointer (Template (TIdName "T") Nothing)
+        let t2 = Array (Just VarArg) []
+        let t3 = Array (Just (Const (Array (Just Unconstrained) []))) []
+
+        let g1 = fromTypeInfo t1
+        let g2 = fromTypeInfo t2
+        let g3 = fromTypeInfo t3
+
+        let j23 = Lattice.joinGraph (const False) g2 g3
+        let res1 = Lattice.joinGraph (const False) g1 j23
+
+        let j12 = Lattice.joinGraph (const False) g1 g2
+        let res2 = Lattice.joinGraph (const False) j12 g3
+
+        stripLexemes (toTypeInfo res1) `shouldBe` stripLexemes (toTypeInfo res2)
+
+    it "is associative for meet counterexample (repro)" $ do
+        let t1 = Array (Just Conflict) []
+            t2 = Pointer (Pointer Unconstrained)
+            t3 = Array (Just (Pointer (Template (TIdRec 36) Nothing))) []
+            g1 = fromTypeInfo t1
+            g2 = fromTypeInfo t2
+            g3 = fromTypeInfo t3
+            m12 = Lattice.meetGraph (const False) g1 g2
+            res1 = Lattice.meetGraph (const False) m12 g3
+            m23 = Lattice.meetGraph (const False) g2 g3
+            res2 = Lattice.meetGraph (const False) g1 m23
+        stripLexemes (toTypeInfo res1) `shouldBe` stripLexemes (toTypeInfo res2)
+
+    it "is associative for meet counterexample (repro 2)" $ do
+        let t1 = Pointer (Array (Just (Singleton S32Ty (-29))) [])
+            t2 = Pointer (Pointer (BuiltinType S16Ty))
+            t3 = Pointer (Array Nothing [])
+            g1 = fromTypeInfo t1
+            g2 = fromTypeInfo t2
+            g3 = fromTypeInfo t3
+            m12 = Lattice.meetGraph (const False) g1 g2
+            res1 = Lattice.meetGraph (const False) m12 g3
+            m23 = Lattice.meetGraph (const False) g2 g3
+            res2 = Lattice.meetGraph (const False) g1 m23
+        stripLexemes (toTypeInfo res1) `shouldBe` stripLexemes (toTypeInfo res2)
+
+    it "is associative for meet counterexample (repro 3)" $ do
+        let t1 = Array (Just (Array Nothing [])) []
+            t2 = Pointer (Array (Just VarArg) [])
+            t3 = Pointer (BuiltinType NullPtrTy)
+            g1 = fromTypeInfo t1
+            g2 = fromTypeInfo t2
+            g3 = fromTypeInfo t3
+            m12 = Lattice.meetGraph (const False) g1 g2
+            res1 = Lattice.meetGraph (const False) m12 g3
+            m23 = Lattice.meetGraph (const False) g2 g3
+            res2 = Lattice.meetGraph (const False) g1 m23
+        stripLexemes (toTypeInfo res1) `shouldBe` stripLexemes (toTypeInfo res2)
+
+    it "is transitive for Sized recursive Function (repro)" $ do
+        pendingWith "Currently failing"
+        let tid = TIdName "F"
+        let t1 = Function TS.VarArg [Template tid Nothing]
+        let loc = C.L (C.AlexPn 0 0 0) C.PctPipePipe tid
+        let a = Sized t1 loc
+        let b = t1
+        let c = t1
+        -- a <: b and b <: c, so a <: c
+        Lattice.subtypeOf a b `shouldBe` True
+        Lattice.subtypeOf b c `shouldBe` True
+        Lattice.subtypeOf a c `shouldBe` True
+
+    describe "lfp (Least Fixed Point)" $ do
+        it "introduces a cycle for a simple self-reference X = Pointer X" $ do
+            let v = TS.FullTemplate (TS.TIdSolver 0 Nothing) Nothing
+            -- f(X) = Pointer X
+            let fx = fromTypeInfo (Pointer (Template (TS.ftId v) (TS.ftIndex v)))
+            let res = lfp v fx
+            -- Result should be T = Pointer T
+            toTypeInfo res `shouldBe` Pointer (Template (TIdRec 0) Nothing)
+
+        it "handles nested self-reference X = Pointer (Pointer X)" $ do
+            let v = TS.FullTemplate (TS.TIdSolver 0 Nothing) Nothing
+            let fx = fromTypeInfo (Pointer (Pointer (Template (TS.ftId v) (TS.ftIndex v))))
+            let res = lfp v fx
+            toTypeInfo res `shouldBe` Pointer (Pointer (Template (TIdRec 1) Nothing))
+
+        it "is a no-op if the template is not present" $ do
+            let v = TS.FullTemplate (TS.TIdSolver 0 Nothing) Nothing
+            let fx = fromTypeInfo (Pointer (BuiltinType S32Ty))
+            let res = lfp v fx
+            toTypeInfo res `shouldBe` Pointer (BuiltinType S32Ty)
+
+    describe "properties" $ do
+        it "round-trips any TypeInfo" $ property $ \(t :: TS.TypeInfo 'Global) ->
+            Canonicalization.bisimilar (toTypeInfo (fromTypeInfo t)) t
+
+        it "join is idempotent" $ property $ \(t :: TS.TypeInfo 'Global) ->
+            let g = fromTypeInfo t
+            in Canonicalization.bisimilar (toTypeInfo (Lattice.joinGraph (const False) g g)) (toTypeInfo g)
+
+        it "join is commutative" $ property $ \(t1 :: TS.TypeInfo 'Global) (t2 :: TS.TypeInfo 'Global) ->
+            let g1 = fromTypeInfo t1
+                g2 = fromTypeInfo t2
+            in Canonicalization.bisimilar (toTypeInfo (Lattice.joinGraph (const False) g1 g2)) (toTypeInfo (Lattice.joinGraph (const False) g2 g1))
+
+        it "join is associative" $ property $ \(t1 :: TS.TypeInfo 'Global) (t2 :: TS.TypeInfo 'Global) (t3 :: TS.TypeInfo 'Global) ->
+            let g1 = fromTypeInfo t1
+                g2 = fromTypeInfo t2
+                g3 = fromTypeInfo t3
+                j1 = Lattice.joinGraph (const False) g1 (Lattice.joinGraph (const False) g2 g3)
+                j2 = Lattice.joinGraph (const False) (Lattice.joinGraph (const False) g1 g2) g3
+            in Canonicalization.bisimilar (toTypeInfo j1) (toTypeInfo j2)
+
+        it "meet is idempotent" $ property $ \(t :: TS.TypeInfo 'Global) ->
+            let g = fromTypeInfo t
+            in Canonicalization.bisimilar (toTypeInfo (Lattice.meetGraph (const False) g g)) (toTypeInfo g)
+
+        it "meet is commutative" $ property $ \(t1 :: TS.TypeInfo 'Global) (t2 :: TS.TypeInfo 'Global) ->
+            let g1 = fromTypeInfo t1
+                g2 = fromTypeInfo t2
+            in Canonicalization.bisimilar (toTypeInfo (Lattice.meetGraph (const False) g1 g2)) (toTypeInfo (Lattice.meetGraph (const False) g2 g1))
+
+        it "meet is associative" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(t1 :: TS.TypeInfo 'Global) (t2 :: TS.TypeInfo 'Global) (t3 :: TS.TypeInfo 'Global) ->
+                let g1 = fromTypeInfo t1
+                    g2 = fromTypeInfo t2
+                    g3 = fromTypeInfo t3
+                    m1 = Lattice.meetGraph (const False) g1 (Lattice.meetGraph (const False) g2 g3)
+                    m2 = Lattice.meetGraph (const False) (Lattice.meetGraph (const False) g1 g2) g3
+                in Canonicalization.bisimilar (toTypeInfo m1) (toTypeInfo m2)
+            pure ()
+
+        it "substitute is consistent with tree substitution for concrete types" $ property $ \(t_val :: TS.TypeInfo 'Local) ->
+            -- Use a fixed target to avoid issues with t_in generating unrelated templates.
+            let v = TS.FullTemplate (TS.TIdSolver 0 Nothing) Nothing
+                t_var = Template (TS.ftId v) (TS.ftIndex v)
+                target = Pointer t_var
+                g_target = fromTypeInfo target
+                g_val = fromTypeInfo t_val
+                g_res = substitute v g_val g_target
+                t_res = toTypeInfo g_res
+            in Canonicalization.minimize t_res `shouldBe` Canonicalization.minimize (Pointer t_val)
diff --git a/test/Language/Cimple/Analysis/TypeSystem/TypesSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/TypesSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/TypesSpec.hs
@@ -0,0 +1,57 @@
+{-# LANGUAGE DataKinds           #-}
+{-# LANGUAGE OverloadedStrings   #-}
+{-# LANGUAGE PatternSynonyms     #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+module Language.Cimple.Analysis.TypeSystem.TypesSpec (spec) where
+
+import           Test.Hspec
+import           Test.QuickCheck
+
+import           Data.Fix                                  (Fix (..))
+import           Data.Maybe                                (isJust)
+import           Language.Cimple.Analysis.TypeSystem.Types
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Types" $ do
+    describe "zipWithF" $ do
+        it "is symmetric for successful zips" $ property $ \(t1 :: TypeInfo 'Local) (t2 :: TypeInfo 'Local) ->
+            case (zipWithF (,) (unFix t1) (unFix t2), zipWithF (,) (unFix t2) (unFix t1)) of
+                (Just _, Just _)   -> True
+                (Nothing, Nothing) -> True
+                _                  -> False
+
+        it "returns Just iff same top-level constructor and compatible metadata" $ do
+            pendingWith "Currently failing"
+            _ <- return $ property $ \(t1 :: TypeInfo 'Local) (t2 :: TypeInfo 'Local) ->
+                let res = zipWithF (,) (unFix t1) (unFix t2)
+                in case (unFix t1, unFix t2) of
+                    (PointerF _, PointerF _) -> isJust res
+                    (QualifiedF qs1 _, QualifiedF qs2 _) -> isJust res == (qs1 == qs2)
+                    (SizedF _ l1, SizedF _ l2) -> isJust res == (l1 == l2)
+                    (BuiltinTypeF s1, BuiltinTypeF s2) -> isJust res == (s1 == s2)
+                    (ExternalTypeF l1, ExternalTypeF l2) -> isJust res == (l1 == l2)
+                    (TemplateF (FT id1 i1), TemplateF (FT id2 i2)) ->
+                        isJust res == (id1 == id2 && isJust i1 == isJust i2)
+                    (ArrayF _ d1, ArrayF _ d2) ->
+                        isJust res == (length d1 == length d2)
+                    (VarF l1 _, VarF l2 _) -> isJust res == (l1 == l2)
+                    (FunctionF _ p1, FunctionF _ p2) ->
+                        isJust res == (length p1 == length p2)
+                    (SingletonF s1 i1, SingletonF s2 i2) ->
+                        isJust res == (s1 == s2 && i1 == i2)
+                    (VarArgF, VarArgF) -> isJust res
+                    (IntLitF l1, IntLitF l2) -> isJust res == (l1 == l2)
+                    (NameLitF l1, NameLitF l2) -> isJust res == (l1 == l2)
+                    (EnumMemF l1, EnumMemF l2) -> isJust res == (l1 == l2)
+                    (UnconstrainedF, UnconstrainedF) -> isJust res
+                    (ConflictF, ConflictF) -> isJust res
+                    (UnsupportedF u1, UnsupportedF u2) -> isJust res == (u1 == u2)
+                    (TypeRefF r1 l1 _, TypeRefF r2 l2 _) -> isJust res == (r1 == r2 && l1 == l2)
+                    _ -> not (isJust res)
+            pure ()
+
+        it "is complete (returns Just when given the same structure twice)" $ do
+            pendingWith "zipWithF is missing cases for FunctionF and TypeRefF"
+            let _ = property $ \(t :: TypeInfo 'Local) ->
+                    isJust (zipWithF (,) (unFix t) (unFix t))
+            pure ()
diff --git a/test/Language/Cimple/Analysis/TypeSystem/UnificationSpec.hs b/test/Language/Cimple/Analysis/TypeSystem/UnificationSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystem/UnificationSpec.hs
@@ -0,0 +1,993 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE PatternSynonyms   #-}
+module Language.Cimple.Analysis.TypeSystem.UnificationSpec (spec) where
+
+import           Control.Monad                                   (forM_, void)
+import           Control.Monad.State.Strict                      (evalState)
+import qualified Control.Monad.State.Strict                      as State
+import           Data.Map.Strict                                 (Map)
+import qualified Data.Map.Strict                                 as Map
+import           Data.Set                                        (Set)
+import qualified Data.Set                                        as Set
+import           Data.Text                                       (Text)
+import qualified Data.Text                                       as T
+import           Language.Cimple                                 (Lexeme (..))
+import qualified Language.Cimple                                 as C
+import           Language.Cimple.Analysis.Errors                 (ErrorInfo (..),
+                                                                  MismatchReason (..),
+                                                                  Provenance (..),
+                                                                  TypeError (..))
+import           Language.Cimple.Analysis.TypeSystem             (pattern Array, pattern BuiltinType,
+                                                                  pattern Const,
+                                                                  pattern EnumMem,
+                                                                  pattern ExternalType,
+                                                                  pattern Function,
+                                                                  pattern IntLit,
+                                                                  pattern NameLit,
+                                                                  pattern Nonnull,
+                                                                  pattern Nullable,
+                                                                  pattern Owner,
+                                                                  Phase (..),
+                                                                  pattern Pointer,
+                                                                  pattern Singleton,
+                                                                  pattern Sized,
+                                                                  StdType (..),
+                                                                  pattern Template,
+                                                                  TypeDescr (..),
+                                                                  TypeInfo,
+                                                                  TypeRef (..),
+                                                                  pattern TypeRef,
+                                                                  pattern Unsupported,
+                                                                  pattern Var,
+                                                                  pattern VarArg)
+import qualified Language.Cimple.Analysis.TypeSystem             as TS
+import           Language.Cimple.Analysis.TypeSystem.Unification (Unify, UnifyResult (..),
+                                                                  UnifyState (..),
+                                                                  applyBindings,
+                                                                  applyBindingsDeep,
+                                                                  resolveType,
+                                                                  runUnification,
+                                                                  subtype,
+                                                                  unify)
+import           Test.Hspec
+
+runUnifyWithBindings :: TS.TypeSystem -> Map.Map (TS.FullTemplate 'TS.Local) (TS.TypeInfo 'TS.Local, Provenance 'TS.Local) -> Unify a -> a
+runUnifyWithBindings ts bindings action =
+    evalState action (UnifyState bindings [] ts Set.empty 0 True)
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem.Unification" $ do
+    let ts = Map.empty
+    let tLocalName n = TS.toLocal 0 Nothing $ Template (TS.TIdName n) Nothing
+    let ftLocalName n = TS.FullTemplate (TS.TIdAnonymous (Just n)) Nothing
+
+    it "unifies simple types" $ do
+        let t1 = TS.toLocal 0 Nothing $ BuiltinType S32Ty
+        let t2 = TS.toLocal 0 Nothing $ BuiltinType S32Ty
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "unifies templates with concrete types" $ do
+        let t1 = TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing
+        let t2 = TS.toLocal 0 Nothing $ BuiltinType S32Ty
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (TS.FullTemplate (TS.TIdAnonymous (Just "T0")) Nothing) (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "handles recursive types with co-induction (self-pointer)" $ do
+        -- T0 = T0*
+        let t1 = TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing
+        let t2 = TS.toLocal 0 Nothing $ Pointer (Template (TS.TIdName "T0") Nothing)
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles recursive types with co-induction (struct Tox_Memory pattern)" $ do
+        -- Tox_Memory<P0, P1> = { funcs: Tox_Memory_Funcs<P0, P1>*, user_data: P0 }
+        -- Tox_Memory_Funcs<P0, P1> = { dealloc: (P0, P1) -> void }
+        -- Let's simplify:
+        -- struct M<P1> { f: (M<P1>*, P1) -> void }
+        -- We want to void $ unify M<P1>* with P1.
+
+        let p1 = TS.toLocal 0 Nothing $ Template (TS.TIdName "P1") Nothing
+        let m_p1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "M")) [TS.Template (TS.TIdName "P1") Nothing]
+
+        -- The constraint is p1 = m_p1*
+        let res = runUnification ts (unify p1 (Pointer m_p1) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "detects real type mismatches" $ do
+        let t1 = TS.toLocal 0 Nothing $ BuiltinType S32Ty
+        let t2 = TS.toLocal 0 Nothing $ BuiltinType F32Ty
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "decays singletons to base type on mismatch when bound to template" $ do
+        pendingWith "unify no longer automatically decays singletons on mismatch; it now reports a TypeMismatch"
+        let t = TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing
+        let s2 = TS.toLocal 0 Nothing $ Singleton S32Ty 2
+        let s3 = TS.toLocal 0 Nothing $ Singleton S32Ty 3
+        let res = runUnification ts $ do
+                void $ unify t s2 GeneralMismatch Nothing []
+                void $ unify t s3 GeneralMismatch Nothing []
+                applyBindings t
+        urErrors res `shouldSatisfy` null
+        -- T0 should now be bound to BuiltinType S32Ty
+        let k = TS.FullTemplate (TS.TIdAnonymous (Just "T0")) Nothing
+        case Map.lookup k (urBindings res) of
+            Just (BuiltinType S32Ty, _) -> return ()
+            _ -> expectationFailure $ "Expected BuiltinType S32Ty, got " ++ show (Map.lookup k (urBindings res))
+
+    it "unifies all builtin types with themselves" $ do
+        let builtins = [VoidTy, BoolTy, CharTy, U08Ty, S08Ty, U16Ty, S16Ty, U32Ty, S32Ty, U64Ty, S64Ty, SizeTy, F32Ty, F64Ty, NullPtrTy]
+        forM_ builtins $ \bt -> do
+            let t = BuiltinType bt
+            let res = runUnification ts (unify t t GeneralMismatch Nothing [])
+            urErrors res `shouldSatisfy` null
+
+    it "treats different integer types as compatible for subtyping" $ do
+        let ints = [CharTy, U08Ty, S08Ty, U16Ty, S16Ty, U32Ty, S32Ty, U64Ty, S64Ty, SizeTy]
+        forM_ ints $ \i1 ->
+            forM_ ints $ \i2 -> do
+                let t1 = BuiltinType i1
+                let t2 = BuiltinType i2
+                let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+                urErrors res `shouldSatisfy` null
+
+    it "handles basic pointer subtyping" $ do
+        let t1 = Pointer (BuiltinType S32Ty)
+        let t2 = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows subtyping from T* to const T*" $ do
+        let t1 = Pointer (BuiltinType S32Ty)
+        let t2 = Pointer (Const (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping from const T* to T*" $ do
+        let t1 = Pointer (Const (BuiltinType S32Ty))
+        let t2 = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "allows subtyping from nullptr_t to any pointer" $ do
+        let t1 = BuiltinType NullPtrTy
+        let t2 = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows subtyping from nullptr_t to nullable types" $ do
+        let t1 = BuiltinType NullPtrTy
+        let t2 = Nullable (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping from nullptr_t to nonnull types" $ do
+        let t1 = BuiltinType NullPtrTy
+        let t2 = Nonnull (Pointer (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles array-to-pointer decay" $ do
+        let t1 = TS.toLocal 0 Nothing $ Array (Just (BuiltinType S32Ty)) [IntLit (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "10"))]
+        let t2 = TS.toLocal 0 Nothing $ Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles basic function pointer subtyping" $ do
+        let t1 = TS.toLocal 0 Nothing $ Function (BuiltinType S32Ty) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ Function (BuiltinType S32Ty) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows function pointer subtyping with return type mismatch" $ do
+        let t1 = Function (BuiltinType S32Ty) [BuiltinType S32Ty]
+        let t2 = Function (BuiltinType F32Ty) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles contravariant function parameters in subtyping" $ do
+        -- (const int*) -> void  <:  (int*) -> void
+        -- This is allowed because the implementation takes a more general type.
+        let t1 = Function (BuiltinType VoidTy) [Pointer (Const (BuiltinType S32Ty))]
+        let t2 = Function (BuiltinType VoidTy) [Pointer (BuiltinType S32Ty)]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles sockaddr compatibility" $ do
+        let sockaddr = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "sockaddr")) []
+        let sockaddr_in = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "sockaddr_in")) []
+        let res = runUnification ts (subtype sockaddr_in sockaddr GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "binds a template to a concrete type via subtyping" $ do
+        let t1 = TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing
+        let t2 = TS.toLocal 0 Nothing $ BuiltinType S32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (TS.FullTemplate (TS.TIdAnonymous (Just "T0")) Nothing) (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "resolves nested templates in applyBindings" $ do
+        let t0 = TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing
+        let t1 = TS.toLocal 0 Nothing $ Template (TS.TIdName "T1") Nothing
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer t1) GeneralMismatch Nothing []
+                void $ unify t1 (BuiltinType S32Ty) GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+        let bindings = urBindings res
+        let finalT0 = runUnifyWithBindings ts bindings (applyBindingsDeep t0)
+        finalT0 `shouldBe` Pointer (BuiltinType S32Ty)
+
+    it "unifies two templates through pointers" $ do
+        let t1 = TS.toLocal 0 Nothing $ Pointer (Template (TS.TIdName "T0") Nothing)
+        let t2 = TS.toLocal 0 Nothing $ Pointer (Template (TS.TIdName "T1") Nothing)
+        let res = runUnification ts $ do
+                void $ unify t1 t2 GeneralMismatch Nothing []
+                void $ subtype (TS.toLocal 0 Nothing $ Template (TS.TIdName "T0") Nothing) (BuiltinType S32Ty) GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+        -- T0 is bound to T1, and T1 is bound to S32Ty
+        let b1 = Map.lookup (TS.FullTemplate (TS.TIdAnonymous (Just "T0")) Nothing) (urBindings res)
+        let b2 = Map.lookup (TS.FullTemplate (TS.TIdAnonymous (Just "T1")) Nothing) (urBindings res)
+        b1 `shouldSatisfy` (\case { Just (Template (TS.TIdAnonymous (Just "T1")) Nothing, _) -> True; _ -> False })
+        b2 `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "handles mutual recursion through templates" $ do
+        -- T0 = T1*
+        -- T1 = T0*
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer t1) GeneralMismatch Nothing []
+                void $ unify t1 (Pointer t0) GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "binds templates with wrappers" $ do
+        let t0 = tLocalName "T0"
+        let t1 = Pointer (Const (BuiltinType S32Ty))
+        let res = runUnification ts (unify t0 t1 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (Pointer (Const (BuiltinType S32Ty)), _) -> True; _ -> False })
+
+    it "handles deeply nested recursive types" $ do
+        -- T0 = Pointer (Pointer T0)
+        let t0 = tLocalName "T0"
+        let res = runUnification ts (unify t0 (Pointer (Pointer t0)) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "unifies TypeRefs with template arguments" $ do
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [Template (TS.TIdName "T0") Nothing]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType S32Ty]
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "disallows unification of different TypeRefs" $ do
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "T")) []
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles co-inductive subtyping with nested recursive structs" $ do
+        -- struct S { struct S *next; }
+        -- We represent this as S<T> where T = S<T>*
+        let t = tLocalName "T"
+        let s_t = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "S")) [Template (TS.TIdName "T") Nothing]
+        let res = runUnification ts (unify t (Pointer s_t) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between Nonnull and Nullable types" $ do
+        let base = Pointer (BuiltinType S32Ty)
+        let nn = Nonnull base
+        let nb = Nullable base
+
+        -- Nonnull <: Nullable (allowed)
+        let res1 = runUnification ts (subtype nn nb GeneralMismatch Nothing [])
+        urErrors res1 `shouldSatisfy` null
+
+        -- Nullable <: Nonnull (disallowed)
+        let res2 = runUnification ts (subtype nb nn GeneralMismatch Nothing [])
+        length (urErrors res2) `shouldSatisfy` (> 0)
+
+    it "enforces sound pointer subtyping (qualification invariance)" $ do
+        -- int* <: const int* (allowed)
+        let res1 = runUnification ts (subtype (Pointer (BuiltinType S32Ty)) (Pointer (Const (BuiltinType S32Ty))) GeneralMismatch Nothing [])
+        urErrors res1 `shouldSatisfy` null
+
+        -- int** <: const int** (disallowed - unsound)
+        let res2 = runUnification ts (subtype (Pointer (Pointer (BuiltinType S32Ty))) (Pointer (Pointer (Const (BuiltinType S32Ty)))) GeneralMismatch Nothing [])
+        length (urErrors res2) `shouldSatisfy` (> 0)
+
+    it "disallows subtyping between T** and const T**" $ do
+        -- int** <: const int** (disallowed - unsound)
+        let t1 = Pointer (Pointer (BuiltinType S32Ty))
+        let t2 = Pointer (Pointer (Const (BuiltinType S32Ty)))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "allows subtyping from T** to T* const* (sound intermediate const)" $ do
+        -- int** <: int* const* (allowed)
+        let t1 = Pointer (Pointer (BuiltinType S32Ty))
+        let t2 = Pointer (Const (Pointer (BuiltinType S32Ty)))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping from concrete pointer to void*" $ do
+        -- int* <: void*
+        -- In Hic, void* is often a Template
+        let t1 = Pointer (BuiltinType S32Ty)
+        let t2 = tLocalName "P0"
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "P0") (urBindings res) `shouldSatisfy` (\case { Just (Pointer (BuiltinType S32Ty), _) -> True; _ -> False })
+
+    it "handles subtyping of TypeRefs with same template arguments" $ do
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping of TypeRefs with incompatible template arguments" $ do
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType F32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "disallows subtyping of TypeRefs with different argument counts" $ do
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "disallows subtyping between functions with different argument counts" $ do
+        let t1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let t2 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "allows subtyping of variadic functions" $ do
+        let t1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, VarArg]
+        let t2 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, VarArg]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows subtyping from non-variadic to variadic function" $ do
+        -- void(int) <: void(int, ...)
+        let t1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let t2 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, VarArg]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between function pointers with incompatible parameters" $ do
+        let t1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let t2 = Function (BuiltinType VoidTy) [BuiltinType F32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between Sized and non-Sized pointers" $ do
+        let base = Pointer (BuiltinType S32Ty)
+        let sized = TS.toLocal 0 Nothing $ Sized base (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "len"))
+
+        -- Sized <: base (allowed)
+        let res1 = runUnification ts (subtype sized base GeneralMismatch Nothing [])
+        urErrors res1 `shouldSatisfy` null
+
+        -- base <: Sized (disallowed)
+        let res2 = runUnification ts (subtype base sized GeneralMismatch Nothing [])
+        length (urErrors res2) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between Owner and non-Owner pointers" $ do
+        let base = Pointer (BuiltinType S32Ty)
+        let owner = Owner base
+
+        -- Owner <: base (allowed)
+        let res1 = runUnification ts (subtype owner base GeneralMismatch Nothing [])
+        urErrors res1 `shouldSatisfy` null
+
+        -- base <: Owner (disallowed)
+        let res2 = runUnification ts (subtype base owner GeneralMismatch Nothing [])
+        length (urErrors res2) `shouldSatisfy` (> 0)
+
+    it "allows subtyping from const T to T (copy)" $ do
+        let t1 = Const (BuiltinType S32Ty)
+        let t2 = BuiltinType S32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping of recursive TypeRefs with different arguments" $ do
+        -- struct List<T> { T data; struct List<T> *next; }
+        -- List<int> should be void $ subtype of List<const int>?
+        -- In C, structs are nominal, but Hic treats them as structural with templates.
+        -- If we follow C, List<int> and List<const int> are DIFFERENT types.
+        let l1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "List")) [BuiltinType S32Ty]
+        let l2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "List")) [Const (BuiltinType S32Ty)]
+
+        let res = runUnification ts (subtype l1 l2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between singletons and builtin types" $ do
+        let t1 = Singleton S32Ty 42
+        let t2 = BuiltinType S32Ty
+
+        -- Singleton <: Builtin (allowed)
+        let res1 = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res1 `shouldSatisfy` null
+
+        -- Builtin <: Singleton (allowed for C compatibility)
+        let res2 = runUnification ts (subtype t2 t1 GeneralMismatch Nothing [])
+        urErrors res2 `shouldSatisfy` null
+
+    it "disallows subtyping between different singletons" $ do
+        let t1 = Singleton S32Ty 42
+        let t2 = Singleton S32Ty 43
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between compatible singletons of different types" $ do
+        -- char(42) <: int (allowed)
+        let t1 = Singleton CharTy 42
+        let t2 = BuiltinType S32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping from larger singleton to smaller builtin" $ do
+        -- int(42) <: char (allowed in Hic because it's based on compatibility)
+        let t1 = Singleton S32Ty 42
+        let t2 = BuiltinType CharTy
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between compatible integer types" $ do
+        -- char <: int (allowed)
+        let t1 = BuiltinType CharTy
+        let t2 = BuiltinType S32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "binds a template to a Nonnull type via subtyping" $ do
+        let t1 = tLocalName "T0"
+        let t2 = Nonnull (Pointer (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (Nonnull (Pointer (BuiltinType S32Ty)), _) -> True; _ -> False })
+
+    it "binds a template to a Nullable type via subtyping" $ do
+        let t1 = tLocalName "T0"
+        let t2 = Nullable (Pointer (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (Nullable (Pointer (BuiltinType S32Ty)), _) -> True; _ -> False })
+
+    it "handles subtyping from Nonnull template to plain template" $ do
+        -- Nonnull T0 <: T1
+        -- Should bind T1 to Nonnull T0 (or just T0 if we are loose)
+        let t1 = Nonnull (tLocalName "T0")
+        let t2 = tLocalName "T1"
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T1") (urBindings res) `shouldSatisfy` (\case { Just (Nonnull (Template (TS.TIdAnonymous (Just "T0")) Nothing), _) -> True; _ -> False })
+
+    it "disallows subtyping between incompatible recursive types" $ do
+        -- T0 = T0* (base int)
+        -- T1 = T1* (base float)
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer (BuiltinType S32Ty)) GeneralMismatch Nothing [] -- wait this is not recursive
+                -- Let's do: T0 = T0*, T1 = T1* but base is different
+                void $ unify t0 (Pointer t0) GeneralMismatch Nothing []
+                void $ unify t1 (Pointer t1) GeneralMismatch Nothing []
+                -- Now force base mismatch
+                void $ subtype t0 (Pointer (BuiltinType F32Ty)) GeneralMismatch Nothing []
+                void $ subtype t0 t1 GeneralMismatch Nothing []
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between identical recursive TypeRefs" $ do
+        -- struct List { struct List *next; }
+        let l = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "List")) []
+        -- In our TS, List would have a member pointing back to List.
+        -- Here we just test List <: List
+        let res = runUnification ts (subtype l l GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between recursive structs with compatible modifications" $ do
+        -- struct S { struct S *next; int x; }
+        -- This is complex to set up purely with TypeInfo without a full TypeSystem.
+        -- Let's use templates to simulate.
+        -- T0 = struct S { T0 *next; }
+        -- T1 = struct S { T1 *next; }
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let s_t0 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "S")) [Template (TS.TIdName "T0") Nothing]
+        let s_t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "S")) [Template (TS.TIdName "T1") Nothing]
+
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer s_t0) GeneralMismatch Nothing []
+                void $ unify t1 (Pointer s_t1) GeneralMismatch Nothing []
+                void $ subtype t0 t1 GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between recursive and non-recursive types" $ do
+        let t0 = tLocalName "T0"
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer t0) GeneralMismatch Nothing []
+                void $ subtype t0 (BuiltinType S32Ty) GeneralMismatch Nothing []
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles deep pointer subtyping with top-level const" $ do
+        -- int*** <: int** const*
+        let t1 = Pointer (Pointer (Pointer (BuiltinType S32Ty)))
+        let t2 = Pointer (Const (Pointer (Pointer (BuiltinType S32Ty))))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows deep pointer subtyping if intermediate const is missing" $ do
+        -- int*** <: const int** const*  (unsound)
+        let t1 = Pointer (Pointer (Pointer (BuiltinType S32Ty)))
+        let t2 = Pointer (Const (Pointer (Pointer (Const (BuiltinType S32Ty)))))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping with multiple different templates" $ do
+        -- (T0, T1) -> T0  <:  (int, float) -> int
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let f1 = Function t0 [t0, t1]
+        let f2 = Function (BuiltinType S32Ty) [BuiltinType S32Ty, BuiltinType F32Ty]
+        let res = runUnification ts (subtype f1 f2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+        Map.lookup (ftLocalName "T1") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType F32Ty, _) -> True; _ -> False })
+
+    it "disallows subtyping when template constraints conflict" $ do
+        -- (T0, T0) -> void  <:  (int, float) -> void
+        let t0 = tLocalName "T0"
+        let f1 = Function (BuiltinType VoidTy) [t0, t0]
+        let f2 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, BuiltinType F32Ty]
+        let res = runUnification ts (subtype f1 f2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping with nested templates" $ do
+        -- List<T0> <: List<int>
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "List")) [Template (TS.TIdName "T0") Nothing]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "List")) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "handles subtyping between function pointers and TypeRef FuncRefs" $ do
+        -- int(*)(int) <: ident
+        -- where typedef int ident(int);
+        let tsWithIdent = Map.fromList [("ident", TS.FuncDescr (C.L (C.AlexPn 0 0 0) C.IdVar "ident") [] (BuiltinType S32Ty) [BuiltinType S32Ty])]
+        let t1 = Pointer (Function (BuiltinType S32Ty) [BuiltinType S32Ty])
+        let t2 = TS.toLocal 0 Nothing $ TypeRef FuncRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "ident")) []
+        let res = runUnification tsWithIdent (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between void* templates and nested structures" $ do
+        -- void* <: struct S*
+        let p0 = tLocalName "P0"
+        let s = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let res = runUnification ts (subtype s p0 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "P0") (urBindings res) `shouldSatisfy` (\case { Just (TypeRef StructRef (C.L _ _ (TS.TIdAnonymous (Just "S"))) [], _) -> True; _ -> False })
+
+    it "disallows multi-level pointer qualification conversion (strict C soundness)" $ do
+        -- int*** <: const int*** (disallowed - unsound)
+        let t1 = Pointer (Pointer (Pointer (BuiltinType S32Ty)))
+        let t2 = Pointer (Pointer (Pointer (Const (BuiltinType S32Ty))))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles sound usage of owned pointer as unowned" $ do
+        -- _Owned int* <: int* (allowed)
+        let base = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype (Owner base) base GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping from unowned to owned pointer" $ do
+        -- int* <: _Owned int* (disallowed - unsound)
+        let base = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype base (Owner base) GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping from Nonnull to non-wrapped" $ do
+        -- _Nonnull int* <: int*
+        let t1 = Nonnull (Pointer (BuiltinType S32Ty))
+        let t2 = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping from Nonnull to Nullable" $ do
+        -- _Nonnull int* <: _Nullable int*
+        let base = Pointer (BuiltinType S32Ty)
+        let res = runUnification ts (subtype (Nonnull base) (Nullable base) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between different TypeRef categories" $ do
+        -- struct S <: union S
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let t2 = TS.toLocal 0 Nothing $ TypeRef UnionRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping with Unsupported types" $ do
+        let t1 = Unsupported "foo"
+        let t2 = BuiltinType S32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles recursive subtyping with multiple distinct branches" $ do
+        -- struct S { struct S *a; struct S *b; }
+        let t = tLocalName "T"
+        -- Simulation: T = { a: T*, b: T* }
+        let res = runUnification ts $ do
+                void $ unify t (TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [Pointer (Template (TS.TIdName "T") Nothing), Pointer (Template (TS.TIdName "T") Nothing)]) GeneralMismatch Nothing []
+                void $ subtype t t GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between different recursive structures" $ do
+        -- T0 = T0*
+        -- T1 = { T1*, T1* }
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer t0) GeneralMismatch Nothing []
+                void $ unify t1 (TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) [Pointer (Template (TS.TIdName "T1") Nothing), Pointer (Template (TS.TIdName "T1") Nothing)]) GeneralMismatch Nothing []
+                void $ subtype t0 t1 GeneralMismatch Nothing []
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between qualified and unqualified TypeRefs" $ do
+        -- struct S <: const struct S
+        let s = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let res = runUnification ts (subtype s (Const s) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows subtyping from const struct to mutable struct (copy)" $ do
+        -- const struct S <: struct S
+        let s = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "S")) []
+        let res = runUnification ts (subtype (Const s) s GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping of function pointers with qualifiers" $ do
+        -- void(*)(int) <: void(* const)(int)
+        let f = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype (Pointer f) (Const (Pointer f)) GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between deeply nested function pointers" $ do
+        -- void(*(*)(int))(int) <: void(*(*)(int))(int)
+        let f = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let pf = Pointer f
+        let h = Function pf [BuiltinType S32Ty]
+        let res = runUnification ts (subtype h h GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping with mixed wrappers (Nonnull + Const)" $ do
+        -- _Nonnull const int* <: const int*
+        let t1 = Nonnull (Const (Pointer (BuiltinType S32Ty)))
+        let t2 = Const (Pointer (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping of arrays of pointers" $ do
+        -- int* [10] <: int* [10]
+        let p = Pointer (BuiltinType S32Ty)
+        let t = TS.toLocal 0 Nothing $ Array (Just p) [IntLit (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "10"))]
+        let res = runUnification ts (subtype t t GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping of complex recursive structs with multiple templates" $ do
+        -- struct Node<T, U> { T data; struct Node<T, U> *next; U metadata; }
+        let node_t_u = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Node")) [Template (TS.TIdName "T") Nothing, Template (TS.TIdName "U") Nothing]
+
+        let res = runUnification ts (unify node_t_u node_t_u GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "binds multiple templates in a single subtyping check" $ do
+        -- struct Pair<T, U> <: struct Pair<int, float>
+        let pair_t_u = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "Pair")) [Template (TS.TIdName "T") Nothing, Template (TS.TIdName "U") Nothing]
+        let pair_int_float = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "Pair")) [BuiltinType S32Ty, BuiltinType F32Ty]
+
+        let res = runUnification ts (subtype pair_t_u pair_int_float GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+        Map.lookup (ftLocalName "U") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType F32Ty, _) -> True; _ -> False })
+
+
+    it "handles subtyping of function pointers with templates" $ do
+        -- T0(*)(T1) <: int(*)(float)
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let f1 = Pointer (Function t0 [t1])
+        let f2 = Pointer (Function (BuiltinType S32Ty) [BuiltinType F32Ty])
+
+        let res = runUnification ts (subtype f1 f2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+        Map.lookup (ftLocalName "T1") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType F32Ty, _) -> True; _ -> False })
+
+    it "handles deep template unification in recursive structures" $ do
+        -- struct List<T> { T data; struct List<T> *next; }
+        -- List<T0> <: List<int>
+        let l_t0 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "List")) [Template (TS.TIdName "T0") Nothing]
+        let l_int = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "List")) [BuiltinType S32Ty]
+
+        let res = runUnification ts (subtype l_t0 l_int GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "correctly identifies incompatible deeply nested pointers" $ do
+        -- int*** <: int**
+        let t1 = Pointer (Pointer (Pointer (BuiltinType S32Ty)))
+        let t2 = Pointer (Pointer (BuiltinType S32Ty))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping with multiple recursive constraints" $ do
+        -- T0 = T0*, T1 = T1*
+        -- T0 <: T1
+        let t0 = tLocalName "T0"
+        let t1 = tLocalName "T1"
+        let res = runUnification ts $ do
+                void $ unify t0 (Pointer t0) GeneralMismatch Nothing []
+                void $ unify t1 (Pointer t1) GeneralMismatch Nothing []
+                void $ subtype t0 t1 GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "handles function-to-pointer decay in subtyping" $ do
+        -- void(int) <: void(*)(int)
+        let f = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let pf = Pointer f
+        let res = runUnification ts (subtype f pf GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles pointer-to-function subtyping" $ do
+        -- void(*)(int) <: void(int)
+        let f = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let pf = Pointer f
+        let res = runUnification ts (subtype pf f GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "binds a template to a singleton via subtyping" $ do
+        -- T0 <: int(42)
+        let t0 = tLocalName "T0"
+        let s = Singleton S32Ty 42
+        let res = runUnification ts (subtype t0 s GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (Singleton S32Ty 42, _) -> True; _ -> False })
+
+    it "handles subtyping with deep recursive cross-references" $ do
+        -- struct A { struct B *b; }
+        -- struct B { struct A *a; }
+        let a = tLocalName "A"
+        let b = tLocalName "B"
+        let res = runUnification ts $ do
+                void $ unify a (TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "A")) [Pointer (Template (TS.TIdName "B") Nothing)]) GeneralMismatch Nothing []
+                void $ unify b (TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "B")) [Pointer (Template (TS.TIdName "A") Nothing)]) GeneralMismatch Nothing []
+                void $ subtype a a GeneralMismatch Nothing []
+                void $ subtype b b GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between variadic and non-variadic functions in the wrong direction" $ do
+        -- void(int, ...) <: void(int) (disallowed)
+        let t1 = Function (BuiltinType VoidTy) [BuiltinType S32Ty, VarArg]
+        let t2 = Function (BuiltinType VoidTy) [BuiltinType S32Ty]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping between identical ExternalTypes" $ do
+        let t1 = TS.toLocal 0 Nothing $ ExternalType (C.L (C.AlexPn 0 0 0) C.IdStdType (TS.TIdName "va_list"))
+        let t2 = TS.toLocal 0 Nothing $ ExternalType (C.L (C.AlexPn 0 0 0) C.IdStdType (TS.TIdName "va_list"))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping with Var and Owner" $ do
+        let base = Pointer (BuiltinType S32Ty)
+        let owner = Owner base
+        let varOwner = TS.toLocal 0 Nothing $ Var (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "p")) owner
+
+        let res = runUnification ts (subtype varOwner owner GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping with Template bound to Owner" $ do
+        let base = Pointer (BuiltinType S32Ty)
+        let owner = Owner base
+        let t = tLocalName "T0"
+        let bindings = Map.fromList [( ftLocalName "T0", (owner, FromContext (ErrorInfo Nothing [] (CustomError "foo") [])) )]
+
+        let res = runUnification ts $ do
+                State.modify $ \s -> s { usBindings = bindings }
+                void $ subtype t owner GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between Var-wrapped pointer and qualified pointer" $ do
+        let p = Pointer (BuiltinType S32Ty)
+        let constP = Pointer (Const (BuiltinType S32Ty))
+        let varP = TS.toLocal 0 Nothing $ Var (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "p")) p
+
+        let res = runUnification ts (subtype varP constP GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "unify preserves Owner when binding to Template" $ do
+        let p = Pointer (BuiltinType S32Ty)
+        let ownerP = Owner p
+        let t = tLocalName "T0"
+        let res = runUnification ts (unify ownerP t GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (Owner _, _) -> True; _ -> False })
+
+    it "handles My_Struct with recursive ownership subtyping" $ do
+        -- struct My_Struct { struct My_Struct *_Owned next; }
+        -- Represented as T = My_Struct<_Owned T*>
+        let t = tLocalName "T"
+        let my_struct_t = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "My_Struct")) [Owner (Pointer (Template (TS.TIdName "T") Nothing))]
+        let res = runUnification ts $ do
+                void $ unify t my_struct_t GeneralMismatch Nothing []
+                void $ subtype t t GeneralMismatch Nothing []
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between different ExternalTypes" $ do
+        let t1 = TS.toLocal 0 Nothing $ ExternalType (C.L (C.AlexPn 0 0 0) C.IdStdType (TS.TIdName "va_list"))
+        let t2 = TS.toLocal 0 Nothing $ ExternalType (C.L (C.AlexPn 0 0 0) C.IdStdType (TS.TIdName "foo_t"))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "handles subtyping from smaller integer to larger integer" $ do
+        -- uint8_t <: uint32_t
+        let t1 = BuiltinType U08Ty
+        let t2 = BuiltinType U32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping from signed to unsigned (allowed in Hic for simplicity)" $ do
+        -- int8_t <: uint32_t
+        let t1 = BuiltinType S08Ty
+        let t2 = BuiltinType U32Ty
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows T** to const T* const* subtyping (C soundness rule)" $ do
+        -- int** <: const int* const* (allowed)
+        let t1 = Pointer (Pointer (BuiltinType S32Ty))
+        let t2 = Pointer (Const (Pointer (Const (BuiltinType S32Ty))))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "allows T*** to T* const* const* subtyping (sound multi-level conversion)" $ do
+        -- Soundness explanation:
+        -- int*** <: int* const* const* is sound because every level where a qualifier is
+        -- added (Level 2: adding const, Level 3: adding const) is "shielded" by a const
+        -- qualifier at all outer levels (Level 1: const, Level 2: const).
+        --
+        -- Bug prevention:
+        -- In a conversion int*** -> P, a bug could only occur if P allowed us to write
+        -- a 'const int*' into a memory location that the source expects to be 'int*'.
+        -- However, since the intermediate level (Level 1) in the target is 'const',
+        -- the compiler/solver prevents any modification of that intermediate pointer,
+        -- thus "shielding" the non-const source from having const-data smuggled into it.
+        let t1 = Pointer (Pointer (Pointer (BuiltinType S32Ty)))
+        let t2 = Pointer (Const (Pointer (Const (Pointer (BuiltinType S32Ty)))))
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "handles subtyping between literal integers and Singletons" $ do
+        -- 42 <: int(42)
+        let t1 = TS.toLocal 0 Nothing $ IntLit (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "42"))
+        let t2 = Singleton S32Ty 42
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "unifies arrays with compatible dimensions" $ do
+        -- int[10] <: int[10]
+        let t1 = TS.toLocal 0 Nothing $ Array (Just (BuiltinType S32Ty)) [IntLit (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "10"))]
+        let t2 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 10]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "disallows subtyping between arrays with incompatible dimensions" $ do
+        -- int[10] <: int[20]
+        let t1 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 10]
+        let t2 = Array (Just (BuiltinType S32Ty)) [Singleton S32Ty 20]
+        let res = runUnification ts (subtype t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "expands function typedefs in resolveType" $ do
+        -- typedef void ident(void *p);
+        let tsWithIdent = Map.fromList [("ident", TS.FuncDescr (C.L (C.AlexPn 0 0 0) C.IdVar "ident") [] (BuiltinType VoidTy) [Pointer (BuiltinType VoidTy)])]
+        let t = TS.toLocal 0 Nothing $ TypeRef FuncRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "ident")) []
+        let resolved = runUnifyWithBindings tsWithIdent Map.empty (resolveType t)
+        resolved `shouldBe` Function (BuiltinType VoidTy) [Pointer (BuiltinType VoidTy)]
+
+    it "unifies TypeRefs with identical template arguments" $ do
+        -- Tox<int> = Tox<int>
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType S32Ty]
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+
+    it "unifies TypeRefs with unassigned template parameters" $ do
+        -- Tox<T0> = Tox<int>  => T0 = int
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [Template (TS.TIdName "T0") Nothing]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType S32Ty]
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        urErrors res `shouldSatisfy` null
+        Map.lookup (ftLocalName "T0") (urBindings res) `shouldSatisfy` (\case { Just (BuiltinType S32Ty, _) -> True; _ -> False })
+
+    it "disallows unification of TypeRefs with conflicting template arguments" $ do
+        -- Tox<int> = Tox<float> => ERROR
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType S32Ty]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType F32Ty]
+        let res = runUnification ts (unify t1 t2 GeneralMismatch Nothing [])
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+    it "detects conflicts through shared template parameters in TypeRefs" $ do
+        -- T0 = int; Tox<T0> = Tox<float> => ERROR
+        let t0 = ftLocalName "T0"
+        let initialBindings = Map.fromList [( t0, (BuiltinType S32Ty, FromContext (ErrorInfo Nothing [] (CustomError "init") [])) )]
+        let t1 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [Template (TS.TIdName "T0") Nothing]
+        let t2 = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) [BuiltinType F32Ty]
+        let finalState = State.execState (void $ unify t1 t2 GeneralMismatch Nothing []) (UnifyState initialBindings [] ts Set.empty 0 True)
+        length (usErrors finalState) `shouldSatisfy` (> 0)
+
+    it "detects conflict between Template (bound to Struct) and Builtin" $ do
+        let t0 = ftLocalName "T0"
+            structTy = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "My_Struct")) []
+            intTy = BuiltinType S32Ty
+            initialBindings = Map.fromList [(t0, (structTy, FromContext (ErrorInfo Nothing [] (CustomError "init") [])))]
+            finalState = State.execState (void $ unify (Template (TS.ftId t0) (TS.ftIndex t0)) intTy GeneralMismatch Nothing []) (UnifyState initialBindings [] ts Set.empty 0 True)
+        length (usErrors finalState) `shouldSatisfy` (> 0)
+
+    it "preserves template arguments of StructRef in resolveType" $ do
+        let structName = "Tox"
+            descr = TS.StructDescr (C.L (C.AlexPn 0 0 0) C.IdVar structName) [TS.TIdName "T"] []
+            tsWithStruct = Map.fromList [(structName, descr)]
+            t = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName structName)) [BuiltinType S32Ty]
+        let resolved = runUnifyWithBindings tsWithStruct Map.empty (resolveType t)
+        resolved `shouldBe` t
+
+    it "resolves nested TypeRef FuncRefs in resolveType" $ do
+        let name = "ident"
+            descr = TS.FuncDescr (C.L (C.AlexPn 0 0 0) C.IdVar name) [] (BuiltinType VoidTy) [Pointer (BuiltinType VoidTy)]
+            tsWithIdent = Map.fromList [(name, descr)]
+            t = TS.toLocal 0 Nothing $ Pointer (TypeRef FuncRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName name)) [])
+        let resolved = runUnifyWithBindings tsWithIdent Map.empty (resolveType t)
+        resolved `shouldBe` Pointer (Function (BuiltinType VoidTy) [Pointer (BuiltinType VoidTy)])
+
+    it "detects conflicts through subtyping chain (Tox case repro)" $ do
+        let t_tox = tLocalName "T_tox"
+        let t_inv = tLocalName "T_inv"
+        let t_hnd = tLocalName "T_hnd"
+        let my_data = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "My_Data")) []
+        let int_ty = BuiltinType S32Ty
+
+        let res = runUnification ts $ do
+                void $ subtype t_tox t_inv GeneralMismatch Nothing []
+                void $ subtype t_inv t_hnd GeneralMismatch Nothing []
+                void $ unify t_hnd my_data GeneralMismatch Nothing []
+                void $ unify t_tox int_ty GeneralMismatch Nothing []
+
+        let isMyDataIntMismatch = \case
+                ErrorInfo { errType = TypeMismatch t1 t2 _ _ } ->
+                    (t1 == my_data && t2 == int_ty) || (t1 == int_ty && t2 == my_data)
+                _ -> False
+        any isMyDataIntMismatch (urErrors res) `shouldBe` True
+
+    it "detects conflicts through linked template parameters (bug reproduction)" $ do
+        -- Reproduces bug where T1 -> T2, then T2 -> struct S, then T1 -> int succeeds (should fail)
+        let t1 = tLocalName "T1"
+        let t2 = tLocalName "T2"
+        let struct_s = TS.toLocal 0 Nothing $ TypeRef StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "S")) []
+        let int_ty = BuiltinType S32Ty
+
+        let res = runUnification ts $ do
+                void $ unify t1 t2 GeneralMismatch Nothing [] -- T1 -> T2
+                void $ unify t2 struct_s GeneralMismatch Nothing [] -- T2 -> S
+                void $ unify t1 int_ty GeneralMismatch Nothing [] -- T1 -> int (should fail)
+        length (urErrors res) `shouldSatisfy` (> 0)
+
+
+-- end of tests
diff --git a/test/Language/Cimple/Analysis/TypeSystemSpec.hs b/test/Language/Cimple/Analysis/TypeSystemSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Analysis/TypeSystemSpec.hs
@@ -0,0 +1,340 @@
+{-# LANGUAGE DataKinds         #-}
+{-# LANGUAGE GADTs             #-}
+{-# LANGUAGE MonoLocalBinds    #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Analysis.TypeSystemSpec (spec) where
+
+import           Data.Fix                            (unFix)
+import           Data.Map.Strict                     (Map)
+import qualified Data.Map.Strict                     as Map
+import           Data.Text                           (Text)
+import qualified Language.Cimple                     as C
+import qualified Language.Cimple.Analysis.TypeSystem as TS
+import           Language.Cimple.Hic.InferenceSpec   (mustParse)
+import           Language.Cimple.Program             as Program
+import           Test.Hspec
+
+spec :: Spec
+spec = describe "Language.Cimple.Analysis.TypeSystem" $ do
+    it "normalizes templates in structs" $ do
+        prog <- mustParse ["struct My_Struct { void *a; void *b; };"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ tps members) -> do
+                tps `shouldBe` [TS.TIdParam 0 (Just "a"), TS.TIdParam 1 (Just "b")]
+                length members `shouldBe` 2
+                case members of
+                    [(_, tyA), (_, tyB)] -> do
+                        tyA `shouldBe` TS.Pointer (TS.Template (TS.TIdParam 0 (Just "a")) Nothing)
+                        tyB `shouldBe` TS.Pointer (TS.Template (TS.TIdParam 1 (Just "b")) Nothing)
+                    _ -> expectationFailure "Expected 2 members"
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "reuses named templates" $ do
+        prog <- mustParse
+            [ "typedef void *Generic;"
+            , "struct My_Struct { Generic a; Generic b; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ tps _) -> do
+                -- Both 'a' and 'b' use the same template from the 'Generic' typedef.
+                tps `shouldBe` [TS.TIdParam 0 (Just "")]
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "handles function pointers in structs correctly" $ do
+        prog <- mustParse
+            [ "typedef void my_cb(void *obj);"
+            , "struct My_Struct { my_cb *f; void *o; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ tps _) -> do
+                -- Both 'f' and 'o' now have independent templates.
+                tps `shouldBe` [TS.TIdParam 0 (Just "obj"), TS.TIdParam 1 (Just "o")]
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "lookups system structs" $ do
+        -- Test that internal definitions for sockaddr etc are available
+        case TS.lookupType "sockaddr" Map.empty of
+            Just (TS.StructDescr _ _ members) -> do
+                let names = [ C.lexemeText l | (l, _) <- members ]
+                names `shouldContain` ["sa_family", "sa_data"]
+            _ -> expectationFailure "Expected system StructDescr for 'sockaddr'"
+
+    it "identifies Tox<T> pattern as templated" $ do
+        prog <- mustParse ["struct Tox { void *userdata; };"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "Tox" ts of
+            Just (TS.StructDescr _ tps _) ->
+                tps `shouldBe` [TS.TIdParam 0 (Just "userdata")]
+            _ -> expectationFailure "Expected StructDescr for 'Tox'"
+
+    it "handles recursive templates in structs" $ do
+        prog <- mustParse ["struct List { void *data; struct List *next; };"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "List" ts of
+            Just (TS.StructDescr _ tps members) -> do
+                tps `shouldBe` [TS.TIdParam 0 (Just "data")]
+                case lookup "next" [ (C.lexemeText l, t) | (l, t) <- members ] of
+                    Just (TS.Pointer (TS.TypeRef TS.StructRef _ [TS.Template (TS.TIdParam 0 (Just "data")) Nothing])) -> return ()
+                    res -> expectationFailure $ "Expected recursive TypeRef with template, got: " ++ show res
+            _ -> expectationFailure "Expected StructDescr for 'List'"
+
+    it "resolveRef populates missing template arguments for structs" $ do
+        prog <- mustParse ["struct Tox { void *userdata; };"]
+        let ts = TS.collect (Program.toList prog)
+        let ty = TS.TypeRef TS.StructRef (C.L (C.AlexPn 0 0 0) C.IdSueType (TS.TIdName "Tox")) []
+        let resolved = TS.resolveRef ts ty
+        case resolved of
+            TS.TypeRef TS.StructRef _ [TS.Template (TS.TIdParam 0 (Just "userdata")) Nothing] -> return ()
+            _ -> expectationFailure $ "Expected resolveRef to populate templates, got: " ++ show resolved
+
+    it "resolveRef populates missing template arguments for functions" $ do
+        prog <- mustParse ["void tox_handler(void *userdata) { /* comment */ }"]
+        let ts = TS.collect (Program.toList prog)
+        let ty = TS.TypeRef TS.FuncRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "tox_handler")) []
+        let resolved = TS.resolveRef ts ty
+        case resolved of
+            TS.TypeRef TS.FuncRef _ [TS.Template (TS.TIdParam 0 (Just "userdata")) Nothing] -> return ()
+            _ -> expectationFailure $ "Expected resolveRef to populate templates for function, got: " ++ show resolved
+
+    it "resolveRef propagates template arguments through aliases" $ do
+        prog <- mustParse
+            [ "struct Tox { void *userdata; };"
+            , "typedef struct Tox Memory;"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        -- ty is Memory<int>
+        let ty = TS.TypeRef TS.UnresolvedRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "Memory")) [TS.BuiltinType TS.S32Ty]
+        let resolved = TS.resolveRef ts ty
+        case resolved of
+            TS.TypeRef TS.StructRef _ [TS.BuiltinType TS.S32Ty] -> return ()
+            _ -> expectationFailure $ "Expected substitute int into Tox, got: " ++ show resolved
+
+    it "resolveRef substitutes arguments into aliases" $ do
+        prog <- mustParse
+            [ "struct Tox { void *userdata; };"
+            , "typedef struct Tox Memory;"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        -- Memory<int>
+        let ty = TS.TypeRef TS.UnresolvedRef (C.L (C.AlexPn 0 0 0) C.IdVar (TS.TIdName "Memory")) [TS.BuiltinType TS.S32Ty]
+        let resolved = TS.resolveRef ts ty
+        case resolved of
+            TS.TypeRef TS.StructRef _ [TS.BuiltinType TS.S32Ty] -> return ()
+            _ -> expectationFailure $ "Expected substitute int into Tox, got: " ++ show resolved
+
+    it "resolveRef substitutes into nested templated structs through aliases" $ do
+        prog <- mustParse
+            [ "struct Inner { void *ptr; };"
+            , "typedef struct Inner Alias;"
+            , "struct Outer { Alias *a; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "Outer" ts of
+            Just (TS.StructDescr _ _ [(_, TS.Pointer (TS.TypeRef TS.StructRef _ [TS.Template (TS.TIdParam 0 (Just "ptr")) Nothing]))]) -> return ()
+            _ -> expectationFailure "Expected StructDescr for 'Outer'"
+
+    it "resolves typedef chains" $ do
+        prog <- mustParse
+            [ "typedef int My_Int;"
+            , "typedef My_Int My_Int_Alias;"
+            , "struct My_Struct { My_Int_Alias x; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ _ [(_, TS.BuiltinType TS.S32Ty)]) -> return ()
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct' with resolved int member"
+
+    it "handles built-in va_list" $ do
+        prog <- mustParse ["void f(va_list args);"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "f" ts of
+            Just (TS.FuncDescr _ _ _ [TS.Var _ ty]) ->
+                case ty of
+                    TS.ExternalType _ -> return ()
+                    _ -> expectationFailure $ "Expected ExternalType for va_list, got: " ++ show ty
+            _ -> expectationFailure "Expected FuncDescr for 'f'"
+
+    it "collects enums" $ do
+        prog <- mustParse ["enum My_Color { RED, GREEN, BLUE };"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Color" ts of
+            Just (TS.EnumDescr _ _) -> return ()
+            _ -> expectationFailure "Expected EnumDescr for 'My_Color'"
+
+    it "instantiates templated structs" $ do
+        prog <- mustParse ["struct My_Struct { void *ptr; };"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just descr -> do
+                let instantiated = TS.instantiateDescr 0 Nothing (Map.singleton (TS.TIdParam 0 (Just "ptr")) (TS.BuiltinType TS.S32Ty)) descr
+                case instantiated of
+                    TS.StructDescr _ [] [(_, TS.Pointer (TS.BuiltinType TS.S32Ty))] -> return ()
+                    _ -> expectationFailure $ "Expected instantiated StructDescr, got: " ++ show instantiated
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "collects function signatures" $ do
+        prog <- mustParse ["void f(int x, void *p);"]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "f" ts of
+            Just (TS.FuncDescr _ tps ret params) -> do
+                tps `shouldBe` [TS.TIdParam 0 (Just "p")]
+                ret `shouldBe` TS.BuiltinType TS.VoidTy
+                params `shouldSatisfy` \ps -> length ps == 2
+            _ -> expectationFailure "Expected FuncDescr for 'f'"
+
+    it "propagates templates through aliases" $ do
+        prog <- mustParse
+            [ "struct Tox { void *userdata; };"
+            , "typedef struct Tox Memory;"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "Memory" ts of
+            Just (TS.AliasDescr _ [_] _) -> return ()
+            _ -> expectationFailure "Expected AliasDescr for 'Memory' with 1 template"
+
+    it "reaches a stable fixpoint for mutually recursive types" $ do
+        prog <- mustParse
+            [ "struct My_B;"
+            , "struct My_A { struct My_B *b; };"
+            , "struct My_B { struct My_A *a; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_A" ts of
+            Just (TS.StructDescr _ _ [(_, TS.Pointer (TS.TypeRef TS.StructRef _ []))]) -> return ()
+            _ -> expectationFailure "Expected StructDescr for 'My_A'"
+
+    it "handles _Owned, _Nonnull, and _Nullable qualifiers" $ do
+        prog <- mustParse
+            [ "struct My_Struct {"
+            , "    int *_Owned p_owned;"
+            , "    int *_Nonnull p_nonnull;"
+            , "    int *_Nullable p_nullable;"
+            , "};"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ _ members) -> do
+                let mTypes = map snd members
+                mTypes `shouldBe` [ TS.Owner (TS.Pointer (TS.BuiltinType TS.S32Ty))
+                                  , TS.Nonnull (TS.Pointer (TS.BuiltinType TS.S32Ty))
+                                  , TS.Nullable (TS.Pointer (TS.BuiltinType TS.S32Ty))
+                                  ]
+            _ -> expectationFailure $ "Expected StructDescr for 'My_Struct', got: " ++ show (Map.keys ts)
+
+    it "joins sizers for Sized types" $ do
+        prog <- mustParse
+            [ "struct My_Struct {"
+            , "    int *data;"
+            , "    uint32_t data_length;"
+            , "};"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ _ [(_, TS.Sized (TS.Pointer (TS.BuiltinType TS.S32Ty)) _)]) -> return ()
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "handles _Owned in joinSizer" $ do
+        prog <- mustParse
+            [ "struct My_Struct {"
+            , "    int *_Owned data;"
+            , "    uint32_t data_length;"
+            , "};"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ _ members) -> do
+                let memberMap = Map.fromList [ (C.lexemeText l, ty) | (l, ty) <- members ]
+                case Map.lookup "data" memberMap of
+                    Just (TS.Sized (TS.Owner (TS.Pointer (TS.BuiltinType TS.S32Ty))) l)
+                        | TS.templateIdBaseName (C.lexemeText l) == "data_length" -> return ()
+                    other -> expectationFailure $ "Expected Sized Owner type for 'data', got: " ++ show other
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+    it "stabilizes templates for Logger-style mutual recursion" $ do
+        prog <- mustParse
+            [ "struct Logger { void *ctx; struct App *app; };"
+            , "struct App { void *state; struct Logger *logger; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "Logger" ts of
+            Just (TS.StructDescr _ tps _) -> do
+                -- Both Logger and App templates are now independent
+                tps `shouldBe` [TS.TIdParam 0 (Just "ctx"), TS.TIdParam 1 (Just "state")]
+            _ -> expectationFailure "Expected StructDescr for 'Logger'"
+
+    it "terminates on self-referential template expansion (Tox_Memory pattern)" $ do
+        prog <- mustParse
+            [ "typedef void dealloc_cb(void *ptr);"
+            , "struct Memory { dealloc_cb *dealloc; void *ptr; };"
+            ]
+        -- This forces resolve to handle:
+        -- Memory<P0, P1> = { dealloc: (Memory<P0, P1>*) -> void, ptr: P1 }
+        -- where P0 is derived from the dealloc_cb template.
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "Memory" ts of
+            Just (TS.StructDescr _ tps _) -> do
+                length tps `shouldSatisfy` (> 0)
+            _ -> expectationFailure "Expected StructDescr for 'Memory'"
+
+    it "propagates all templates from structs to function signatures" $ do
+        prog <- mustParse
+            [ "struct My_Struct { void *a; void *b; };"
+            , "void f(struct My_Struct *s);"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_Struct" ts of
+            Just (TS.StructDescr _ tps _) -> tps `shouldBe` [TS.TIdParam 0 (Just "a"), TS.TIdParam 1 (Just "b")]
+            _ -> expectationFailure "Expected StructDescr for 'My_Struct'"
+
+        case Map.lookup "f" ts of
+            Just (TS.FuncDescr _ tps _ _) -> tps `shouldBe` [TS.TIdParam 0 (Just "a"), TS.TIdParam 1 (Just "b")]
+            _ -> expectationFailure "Expected FuncDescr for 'f'"
+
+    it "does not incorrectly merge independent templates during multi-pass resolution" $ do
+        prog <- mustParse
+            [ "struct My_A { void *p; };"
+            , "struct My_B { struct My_A *a; void *q; };"
+            ]
+        let ts = TS.collect (Program.toList prog)
+        case Map.lookup "My_B" ts of
+            Just (TS.StructDescr _ tps _) -> tps `shouldBe` [TS.TIdParam 0 (Just "p"), TS.TIdParam 1 (Just "q")]
+            _ -> expectationFailure "Expected StructDescr for 'My_B' with 2 templates"
+
+    it "toLocal preserves template identity" $ do
+        let p0 = TS.TIdParam 0 Nothing
+        let p1 = TS.TIdParam 1 Nothing
+        let l0 = TS.toLocal 0 Nothing (TS.Template p0 Nothing)
+        let l1 = TS.toLocal 0 Nothing (TS.Template p1 Nothing)
+        l0 `shouldNotBe` l1
+
+    describe "Topological Resolution" $ do
+        it "resolves a chain of aliases in correct order" $ do
+            let p = TS.TIdName
+                l = C.L (C.AlexPn 0 0 0) C.IdVar
+                -- C -> B -> A -> int
+                tys = Map.fromList
+                    [ ("C", TS.AliasDescr (l "C") [] (TS.TypeRef TS.UnresolvedRef (l (p "B")) []))
+                    , ("B", TS.AliasDescr (l "B") [] (TS.TypeRef TS.UnresolvedRef (l (p "A")) []))
+                    , ("A", TS.AliasDescr (l "A") [] (TS.BuiltinType TS.S32Ty))
+                    ]
+                resolved = TS.resolve tys
+
+            case Map.lookup "C" resolved of
+                Just (TS.AliasDescr _ _ target) -> target `shouldBe` TS.BuiltinType TS.S32Ty
+                _ -> expectationFailure "C should be an alias to S32"
+
+        it "handles mutual recursion without infinite loops" $ do
+            let p = TS.TIdName
+                l = C.L (C.AlexPn 0 0 0) C.IdVar
+                -- A -> B*, B -> A*
+                tys = Map.fromList
+                    [ ("A", TS.AliasDescr (l "A") [] (TS.Pointer (TS.TypeRef TS.UnresolvedRef (l (p "B")) [])))
+                    , ("B", TS.AliasDescr (l "B") [] (TS.Pointer (TS.TypeRef TS.UnresolvedRef (l (p "A")) [])))
+                    ]
+                -- resolution should stop and leave them as pointers to the cyclic ref
+                resolved = TS.resolve tys
+            Map.member "A" resolved `shouldBe` True
+            Map.member "B" resolved `shouldBe` True
diff --git a/test/Language/Cimple/Hic/Inference/IterationSpec.hs b/test/Language/Cimple/Hic/Inference/IterationSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Hic/Inference/IterationSpec.hs
@@ -0,0 +1,189 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.IterationSpec
+    ( spec
+    ) where
+
+import           Language.Cimple.Hic.Inference     (inferProgram)
+import           Language.Cimple.Hic.InferenceSpec (checkInference, mustParse)
+import           Test.Hspec                        (Spec, describe, it,
+                                                    shouldBe)
+
+spec :: Spec
+spec = describe "Iteration inference" $ do
+    describe "ForEach" $ do
+        checkInference
+            [ "void f() {"
+            , "    for (int i = 0; i < 10; ++i) {"
+            , "        printf(\"%d\\n\", arr[i]);"
+            , "    }"
+            , "}"
+            ]
+            [ "void f() {"
+            , "  for_each i in arr {"
+            , "    printf(\"%d\\n\", i);"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "void f() {"
+            , "    for (int i = 0; i < 10; ++i) {"
+            , "        printf(\"%d: %d\\n\", i, arr[i]);"
+            , "    }"
+            , "}"
+            ]
+            [ "void f() {"
+            , "  for_each (index, i) in enumerate(arr) {"
+            , "    printf(\"%d: %d\\n\", index, i);"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "uint64_t calculate_comp_value(const uint8_t *pk1, const uint8_t *pk2) {"
+            , "    uint64_t cmp1 = 0;"
+            , "    uint64_t cmp2 = 0;"
+            , "    for (size_t i = 0; i < 8; ++i) {"
+            , "        cmp1 = (cmp1 << 8) + (uint64_t)pk1[i];"
+            , "        cmp2 = (cmp2 << 8) + (uint64_t)pk2[i];"
+            , "    }"
+            , "    return cmp1 - cmp2;"
+            , "}"
+            ]
+            [ "uint64_t calculate_comp_value(uint8_t const* pk1, uint8_t const* pk2) {"
+            , "  uint64_t cmp1 = 0;"
+            , ""
+            , "  uint64_t cmp2 = 0;"
+            , ""
+            , "  for_each index in (pk1, pk2) {"
+            , "    cmp1 = (cmp1 << 8) + (uint64_t)pk1[index];"
+            , ""
+            , "    cmp2 = (cmp2 << 8) + (uint64_t)pk2[index];"
+            , "  }"
+            , ""
+            , "  return cmp1 - cmp2;"
+            , "}"
+            ]
+
+        checkInference
+            [ "void f() {"
+            , "    for (uint32_t i = 0; i < c->crypto_connections_length; ++i) {"
+            , "        process(c->crypto_connections[i]);"
+            , "    }"
+            , "}"
+            ]
+            [ "void f() {"
+            , "  for_each i in c->crypto_connections {"
+            , "    process(i);"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "void f() {"
+            , "    for (int i = 0; i < 10; ++i) {"
+            , "        arr[i] = i;"
+            , "    }"
+            , "}"
+            ]
+            [ "void f() {"
+            , "  for_each (index, i) in enumerate(arr) {"
+            , "    i = index;"
+            , "  }"
+            , "}"
+            ]
+
+        it "warns when induction variable is modified" $ do
+            prog <- mustParse
+                [ "void f() {"
+                , "    for (int i = 0; i < 10; ++i) {"
+                , "        arr[i] = 0;"
+                , "        i = 5;"
+                , "    }"
+                , "}"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` ["test.c:2: Induction variable 'i' is modified within the loop body. Refactor to enable for_each lifting."]
+
+        checkInference
+            [ "void f() {"
+            , "    for (int i = 0; i < 10; ++i) {"
+            , "        arr[i] = 0;"
+            , "        arr2[i] = 1;"
+            , "    }"
+            , "}"
+            ]
+            [ "void f() {"
+            , "  for_each index in (arr, arr2) {"
+            , "    arr[index] = 0;"
+            , ""
+            , "    arr2[index] = 1;"
+            , "  }"
+            , "}"
+            ]
+
+        it "warns when container expression is not stable" $ do
+            prog <- mustParse
+                [ "void f(int matrix[10][10], int j) {"
+                , "    for (int i = 0; i < 10; ++i) {"
+                , "        matrix[j][i] = 0;"
+                , "    }"
+                , "}"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` ["test.c:2: Container expression is not stable. Refactor to enable for_each lifting."]
+
+        checkInference
+            [ "void f(int matrix[10][10], int j) {"
+            , "    int *row = matrix[j];"
+            , "    for (int i = 0; i < 10; ++i) {"
+            , "        row[i] = 0;"
+            , "    }"
+            , "}"
+            ]
+            [ "void f(int matrix[10][10], int j) {"
+            , "  int* row = matrix[j];"
+            , ""
+            , "  for_each i in row {"
+            , "    i = 0;"
+            , "  }"
+            , "}"
+            ]
+
+    describe "Find" $ do
+        checkInference
+            [ "int find(int *arr, int size, int key) {"
+            , "    for (int i = 0; i < size; ++i) {"
+            , "        if (arr[i] == key) return i;"
+            , "    }"
+            , "    return -1;"
+            , "}"
+            ]
+            [ "int find(int* arr, int size, int key) {"
+            , "  find i in arr where i == key {"
+            , "    return index;"
+            , "  } else {"
+            , "    return -1;"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "int find_wrapped(int *arr, int size, int key) {"
+            , "    for (int i = 0; i < size; ++i) {"
+            , "        if (arr[i] == key) {"
+            , "            return i;"
+            , "        }"
+            , "    }"
+            , "    return -1;"
+            , "}"
+            ]
+            [ "int find_wrapped(int* arr, int size, int key) {"
+            , "  find i in arr where i == key {"
+            , "    return index;"
+            , "  } else {"
+            , "    return -1;"
+            , "  }"
+            , "}"
+            ]
+
diff --git a/test/Language/Cimple/Hic/Inference/RaiseSpec.hs b/test/Language/Cimple/Hic/Inference/RaiseSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Hic/Inference/RaiseSpec.hs
@@ -0,0 +1,25 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.RaiseSpec (spec) where
+
+import           Language.Cimple.Hic.InferenceSpec (checkInference)
+import           Test.Hspec                        (Spec, describe)
+
+spec :: Spec
+spec = describe "Raise inference" $ do
+    checkInference
+        [ "int f(int *error) {"
+        , "    if (error) {"
+        , "        *error = 1;"
+        , "        return -1;"
+        , "    }"
+        , "    return 0;"
+        , "}"
+        ]
+        [ "int f(int* error) {"
+        , "  if (error) {"
+        , "    raise(*error, 1) return -1;"
+        , "  }"
+        , ""
+        , "  return 0;"
+        , "}"
+        ]
diff --git a/test/Language/Cimple/Hic/Inference/ScopedSpec.hs b/test/Language/Cimple/Hic/Inference/ScopedSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Hic/Inference/ScopedSpec.hs
@@ -0,0 +1,31 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.ScopedSpec (spec) where
+
+import           Language.Cimple.Hic.InferenceSpec (checkInference)
+import           Test.Hspec                        (Spec, describe)
+
+spec :: Spec
+spec = describe "Scoped inference" $ do
+    checkInference
+        [ "void f(int something_wrong) {"
+        , "    Tox *tox = tox_new(nullptr, nullptr);"
+        , "    if (!tox) return;"
+        , "    if (something_wrong) {"
+        , "        goto CLEANUP;"
+        , "    }"
+        , "    process(tox);"
+        , "CLEANUP:"
+        , "    tox_kill(tox);"
+        , "}"
+        ]
+        [ "void f(int something_wrong) {"
+        , "  scoped (Tox* tox = tox_new(nullptr, nullptr)) {"
+        , "    if (!tox) return;"
+        , "    if (something_wrong) {"
+        , "      goto CLEANUP;"
+        , "    }"
+        , "    process(tox);"
+        , "  CLEANUP: tox_kill(tox);"
+        , "  }"
+        , "}"
+        ]
diff --git a/test/Language/Cimple/Hic/Inference/TaggedUnionSpec.hs b/test/Language/Cimple/Hic/Inference/TaggedUnionSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Hic/Inference/TaggedUnionSpec.hs
@@ -0,0 +1,562 @@
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.Inference.TaggedUnionSpec where
+
+import           Test.Hspec                        (Spec, describe, it,
+                                                    shouldBe)
+
+import           Language.Cimple.Hic.Inference     (inferProgram)
+import           Language.Cimple.Hic.InferenceSpec (checkInference,
+                                                    checkRefactoring, mustParse)
+
+spec :: Spec
+spec = do
+    describe "TaggedUnion inference with mistakes" $ do
+        it "issues a diagnostic when a union member is missing" $ do
+            prog <- mustParse
+                [ "typedef enum Tox_Event_Type {"
+                , "    TOX_EVENT_FRIEND_MESSAGE,"
+                , "    TOX_EVENT_SOMETHING_ELSE"
+                , "} Tox_Event_Type;"
+                , "typedef union Tox_Event_Data {"
+                , "    struct Tox_Event_Friend_Message *friend_message;"
+                , "} Tox_Event_Data;"
+                , "struct Tox_Event {"
+                , "    Tox_Event_Type type;"
+                , "    Tox_Event_Data data;"
+                , "};"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` ["TaggedUnion Tox_Event: could not find union member for enum value TOX_EVENT_SOMETHING_ELSE"]
+
+    describe "TaggedUnion inference" $ do
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    int extra_field;"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "  int extra_field;"
+            , "  Tox_Event_Type type;"
+            , "  Tox_Event_Data data;"
+            , "};"
+            ]
+
+    describe "TaggedUnion match inference" $ do
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void handle_event_direct(struct Tox_Event event) {"
+            , "    switch (event.type) {"
+            , "        case TOX_EVENT_FRIEND_MESSAGE: {"
+            , "            break;"
+            , "        }"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void handle_event_direct(struct Tox_Event event) {"
+            , "  match event {"
+            , "    TOX_EVENT_FRIEND_MESSAGE => {"
+            , ""
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void handle_event(const struct Tox_Event *event) {"
+            , "    switch (event->type) {"
+            , "        case TOX_EVENT_FRIEND_MESSAGE: {"
+            , "            break;"
+            , "        }"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void handle_event(struct Tox_Event const* event) {"
+            , "  match event {"
+            , "    TOX_EVENT_FRIEND_MESSAGE => {"
+            , ""
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "typedef enum TCP_Proxy_Type {"
+            , "    TCP_PROXY_HTTP"
+            , "} TCP_Proxy_Type;"
+            , "struct IP_Port { int x; };"
+            , "struct TCP_Proxy_Info {"
+            , "    struct IP_Port ip_port;"
+            , "    TCP_Proxy_Type proxy_type;"
+            , "};"
+            , "void handle_proxy(struct TCP_Proxy_Info *proxy_info) {"
+            , "    switch (proxy_info->proxy_type) {"
+            , "        case TCP_PROXY_HTTP: break;"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum TCP_Proxy_Type {"
+            , "  TCP_PROXY_HTTP,"
+            , "} TCP_Proxy_Type;"
+            , "struct IP_Port {"
+            , "  int x;"
+            , "};"
+            , "struct TCP_Proxy_Info {"
+            , "  struct IP_Port ip_port;"
+            , "  TCP_Proxy_Type proxy_type;"
+            , "};"
+            , "void handle_proxy(struct TCP_Proxy_Info* proxy_info) {"
+            , "  switch (proxy_info->proxy_type) {"
+            , "    case TCP_PROXY_HTTP: break;"
+            , "  }"
+            , "}"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void handle_event(const struct Tox_Event *event) {"
+            , "    switch (event->type) {"
+            , "        case TOX_EVENT_FRIEND_MESSAGE: {"
+            , "            handle_message(event->data.friend_message);"
+            , "            break;"
+            , "        }"
+            , "        default: {"
+            , "            break;"
+            , "        }"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void handle_event(struct Tox_Event const* event) {"
+            , "  match event {"
+            , "    TOX_EVENT_FRIEND_MESSAGE => {"
+            , "      handle_message(event.friend_message);"
+            , "    }"
+            , "    default => {"
+            , ""
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+
+    describe "TaggedUnion construction" $ do
+        checkRefactoring
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void f(struct Tox_Event_Friend_Message *msg) {"
+            , "    Tox_Event event;"
+            , "    event.type = TOX_EVENT_FRIEND_MESSAGE;"
+            , "    event.data.friend_message = msg;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void f(struct Tox_Event_Friend_Message* msg) {"
+            , "  Tox_Event event;"
+            , ""
+            , "  event.type = TOX_EVENT_FRIEND_MESSAGE <= msg;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void f(struct Tox_Event_Friend_Message *msg) {"
+            , "    Tox_Event event;"
+            , "    event.type = TOX_EVENT_FRIEND_MESSAGE;"
+            , "    event.data.friend_message = msg;"
+            , "}"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void f(struct Tox_Event_Friend_Message *msg) {"
+            , "    Tox_Event event;"
+            , "    event.type = TOX_EVENT_FRIEND_MESSAGE;"
+            , "    event.data.friend_message = msg;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void f(struct Tox_Event_Friend_Message* msg) {"
+            , "  Tox_Event event;"
+            , ""
+            , "  event.type = TOX_EVENT_FRIEND_MESSAGE <= msg;"
+            , "}"
+            ]
+
+    describe "TaggedUnionGet inference" $ do
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "const Tox_Event_Friend_Message *tox_event_get_friend_message_direct(struct Tox_Event event) {"
+            , "    return event.type == TOX_EVENT_FRIEND_MESSAGE ? event.data.friend_message : nullptr;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "get event.type == ? event.friend_message"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "const Tox_Event_Friend_Message *tox_event_get_friend_message(const struct Tox_Event *event) {"
+            , "    return event->type == TOX_EVENT_FRIEND_MESSAGE ? event->data.friend_message : nullptr;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "get event.type == ? event.friend_message"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "bool tox_event_pack(const struct Tox_Event *event) {"
+            , "    switch (event->type) {"
+            , "        case TOX_EVENT_FRIEND_MESSAGE:"
+            , "            return pack_msg(event->data.friend_message);"
+            , "        default:"
+            , "            return false;"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "bool tox_event_pack(struct Tox_Event const* event) {"
+            , "  match event {"
+            , "    TOX_EVENT_FRIEND_MESSAGE => {"
+            , "      return pack_msg(event.friend_message);"
+            , "    }"
+            , "    default => {"
+            , "      return false;"
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+
+    describe "TaggedUnionGetTag inference" $ do
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "Tox_Event_Type tox_event_get_type(const struct Tox_Event *event) {"
+            , "    return event->type;"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "get tag event->type"
+            ]
+
+        checkInference
+            [ "typedef enum Tox_Event_Type {"
+            , "    TOX_EVENT_FRIEND_MESSAGE"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "    struct Tox_Event_Friend_Message *friend_message;"
+            , "} Tox_Event_Data;"
+            , "struct Tox_Event {"
+            , "    Tox_Event_Type type;"
+            , "    Tox_Event_Data data;"
+            , "};"
+            , "void handle_event(const struct Tox_Event *event) {"
+            , "    switch (event->type) {"
+            , "        case TOX_EVENT_FRIEND_MESSAGE: {"
+            , "            handle_message(event->data.friend_message);"
+            , "            log_message(event->data.friend_message);"
+            , "            break;"
+            , "        }"
+            , "    }"
+            , "}"
+            ]
+            [ "typedef enum Tox_Event_Type {"
+            , "  TOX_EVENT_FRIEND_MESSAGE,"
+            , "} Tox_Event_Type;"
+            , "typedef union Tox_Event_Data {"
+            , "  struct Tox_Event_Friend_Message* friend_message;"
+            , "} Tox_Event_Data;"
+            , "tagged union Tox_Event {"
+            , "  tag field: type"
+            , "  union field: data"
+            , "  TOX_EVENT_FRIEND_MESSAGE => friend_message"
+            , "};"
+            , "void handle_event(struct Tox_Event const* event) {"
+            , "  match event {"
+            , "    TOX_EVENT_FRIEND_MESSAGE => {"
+            , "      handle_message(event.friend_message);"
+            , ""
+            , "      log_message(event.friend_message);"
+            , "    }"
+            , "  }"
+            , "}"
+            ]
+
+    describe "TaggedUnion low-level access diagnostics" $ do
+        it "issues a diagnostic for wrong member access in match" $ do
+            prog <- mustParse
+                [ "typedef enum Tox_Event_Type {"
+                , "    TOX_EVENT_FRIEND_MESSAGE,"
+                , "    TOX_EVENT_FRIEND_REQUEST"
+                , "} Tox_Event_Type;"
+                , "typedef union Tox_Event_Data {"
+                , "    struct Tox_Event_Friend_Message *friend_message;"
+                , "    struct Tox_Event_Friend_Request *friend_request;"
+                , "} Tox_Event_Data;"
+                , "struct Tox_Event {"
+                , "    Tox_Event_Type type;"
+                , "    Tox_Event_Data data;"
+                , "};"
+                , "void handle_event(const struct Tox_Event *event) {"
+                , "    switch (event->type) {"
+                , "        case TOX_EVENT_FRIEND_MESSAGE: {"
+                , "            handle_request(event->data.friend_request);"
+                , "            break;"
+                , "        }"
+                , "    }"
+                , "}"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` ["test.c:16: in function 'handle_event': Unrecognized high-level access to tagged union 'Tox_Event' field 'friend_request'"]
+        it "issues a diagnostic for raw member access" $ do
+            prog <- mustParse
+                [ "typedef enum Tox_Event_Type {"
+                , "    TOX_EVENT_FRIEND_MESSAGE"
+                , "} Tox_Event_Type;"
+                , "typedef union Tox_Event_Data {"
+                , "    struct Tox_Event_Friend_Message *friend_message;"
+                , "} Tox_Event_Data;"
+                , "struct Tox_Event {"
+                , "    Tox_Event_Type type;"
+                , "    Tox_Event_Data data;"
+                , "};"
+                , "void f(struct Tox_Event *event) {"
+                , "    int x = event->type;"
+                , "}"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` ["test.c:12: in function 'f': Unrecognized low-level access to tagged union 'Tox_Event' field 'type'"]
+
+        it "does not issue a diagnostic for non-tagged union IP" $ do
+            prog <- mustParse
+                [ "typedef struct Family { uint8_t value; } Family;"
+                , "typedef union IP_Union { int v4; int v6; } IP_Union;"
+                , "struct IP {"
+                , "    Family family;"
+                , "    IP_Union ip;"
+                , "};"
+                , "void f(struct IP *ip) {"
+                , "    int x = ip->family;"
+                , "}"
+                ]
+            let (_, diags) = inferProgram prog
+            diags `shouldBe` []
+
+-- end of tests
diff --git a/test/Language/Cimple/Hic/InferenceSpec.hs b/test/Language/Cimple/Hic/InferenceSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/Hic/InferenceSpec.hs
@@ -0,0 +1,100 @@
+{-# LANGUAGE FlexibleContexts  #-}
+{-# LANGUAGE OverloadedStrings #-}
+module Language.Cimple.Hic.InferenceSpec
+    ( checkInference
+    , checkRefactoring
+    , mustParse
+    , mustParseNodes
+    , spec
+    ) where
+
+import           Data.Fix                      (Fix (..))
+import           Data.Map.Strict               (Map)
+import qualified Data.Map.Strict               as Map
+import           Data.Maybe                    (fromMaybe)
+import           Data.Text                     (Text)
+import qualified Data.Text                     as T
+import           GHC.Stack                     (HasCallStack)
+import           Test.Hspec                    (Spec, describe, it, shouldBe,
+                                                shouldContain)
+
+import qualified Language.Cimple               as C
+import           Language.Cimple.Hic           (lower)
+import           Language.Cimple.Hic.Ast       as H
+import           Language.Cimple.Hic.Inference (inferProgram)
+import           Language.Cimple.Hic.Pretty    (showNodePlain)
+import qualified Language.Cimple.IO            as C
+import qualified Language.Cimple.Program       as C
+
+mustParse :: (HasCallStack, MonadFail m) => [Text] -> m (C.Program Text)
+mustParse code =
+    case C.parseText $ T.unlines code of
+        Left err -> fail err
+        Right nodes -> case C.fromList [("test.c", nodes)] of
+            Left err -> fail err
+            Right ok -> return ok
+
+mustParseNodes :: (HasCallStack, MonadFail m) => [Text] -> m [C.Node (C.Lexeme Text)]
+mustParseNodes code = do
+    prog <- mustParse code
+    case lookup "test.c" (C.toList prog) of
+        Just nodes -> return nodes
+        Nothing    -> fail "expected test.c in program"
+
+checkInference :: HasCallStack => [Text] -> [Text] -> Spec
+checkInference input expectedHic = checkRefactoring input expectedHic input
+
+checkRefactoring :: HasCallStack => [Text] -> [Text] -> [Text] -> Spec
+checkRefactoring input expectedHic expectedRefactored =
+    let desc = case input of
+            (x:_) -> T.unpack x
+            []    -> "empty input"
+    in it desc $ do
+    prog <- mustParse input
+    let (hicAsts, diags) = inferProgram prog
+    diags `shouldBe` []
+    hicNodes <- case Map.lookup "test.c" hicAsts of
+        Just nodes | not (null nodes) -> return nodes
+        _                             -> fail "expected at least one hic node"
+
+    -- Check pretty-printed Hic
+    let printed = T.intercalate "\n" $ map showNodePlain hicNodes
+    printed `shouldBe` T.intercalate "\n" expectedHic
+
+    -- Check reversibility against refactored version
+    let lowered = map lower hicNodes
+    refactoredNodes <- mustParseNodes expectedRefactored
+    map (C.removeSloc . C.elideGroups) lowered `shouldBe` map (C.removeSloc . C.elideGroups) refactoredNodes
+
+spec :: Spec
+spec = describe "Global Inference" $ do
+    it "combines multiple inference features" $ do
+        prog <- mustParse
+            [ "typedef enum Tox_Event_Type { TOX_EVENT_FRIEND_MESSAGE } Tox_Event_Type;"
+            , "typedef union Tox_Event_Data { struct Tox_Event_Friend_Message *friend_message; } Tox_Event_Data;"
+            , "struct Tox_Event { Tox_Event_Type type; Tox_Event_Data data; };"
+            , "void handle_events(struct Tox_Event *events, int count) {"
+            , "    for (int i = 0; i < count; ++i) {"
+            , "        switch (events[i].type) {"
+            , "            case TOX_EVENT_FRIEND_MESSAGE: {"
+            , "                handle_message(events[i].data.friend_message);"
+            , "                break;"
+            , "            }"
+            , "        }"
+            , "    }"
+            , "}"
+            ]
+        let (hicAsts, diags) = inferProgram prog
+        diags `shouldBe` []
+        hicNodes <- case Map.lookup "test.c" hicAsts of
+            Just nodes -> return nodes
+            _          -> fail "expected test.c in program"
+
+        let printed = T.unpack $ T.intercalate "\n" $ map showNodePlain hicNodes
+        -- We expect a ForEach containing a Match
+        printed `shouldContain` "for_each i in events"
+        printed `shouldContain` "match i {"
+        printed `shouldContain` "TOX_EVENT_FRIEND_MESSAGE => {"
+        printed `shouldContain` "handle_message(i.friend_message);"
+
+-- end of tests
diff --git a/test/Language/Cimple/HicSpec.hs b/test/Language/Cimple/HicSpec.hs
new file mode 100644
--- /dev/null
+++ b/test/Language/Cimple/HicSpec.hs
@@ -0,0 +1,36 @@
+{-# LANGUAGE OverloadedStrings #-}
+{-# OPTIONS_GHC -Wno-incomplete-uni-patterns #-}
+module Language.Cimple.HicSpec where
+
+import           Data.Fix                (Fix (..), unFix)
+import           Data.Text               (Text)
+import           Test.Hspec              (Spec, describe, it, shouldBe)
+
+import qualified Language.Cimple         as C
+import           Language.Cimple.Hic
+import           Language.Cimple.Hic.Ast
+import qualified Language.Cimple.Program as C
+
+spec :: Spec
+spec = do
+    let dummyLoc = C.AlexPn 0 0 0
+    let lVar v = C.L dummyLoc C.IdVar v
+    let lInt i = C.L dummyLoc C.LitInteger i
+
+    describe "lower" $ do
+        let liftHic :: C.Node (C.Lexeme Text) -> Node (C.Lexeme Text)
+            liftHic (Fix f) = Fix (CimpleNode (fmap liftHic f))
+
+        it "lowers a CimpleNode" $ do
+            let node = Fix (CimpleNode (C.Break)) :: Node (C.Lexeme Text)
+            lower node `shouldBe` (Fix C.Break :: C.Node (C.Lexeme Text))
+
+        it "lowers a Raise node" $ do
+            let var = Fix (C.VarExpr (lVar "error_var"))
+            let val = Fix (C.LiteralExpr C.Int (lInt "1"))
+            let err = Fix (C.LiteralExpr C.Int (lInt "-1"))
+            let node = Fix (HicNode (Raise (Just (liftHic var)) (liftHic val) (ReturnError (liftHic err))))
+            lower node `shouldBe` (Fix (C.Group
+                [ Fix (C.ExprStmt (Fix (C.AssignExpr var C.AopEq val)))
+                , Fix (C.Return (Just err))
+                ]) :: C.Node (C.Lexeme Text))
diff --git a/test/testsuite.hs b/test/testsuite.hs
new file mode 100644
--- /dev/null
+++ b/test/testsuite.hs
@@ -0,0 +1,1 @@
+{-# OPTIONS_GHC -F -pgmF hspec-discover #-}
diff --git a/tools/hic-check.hs b/tools/hic-check.hs
new file mode 100644
--- /dev/null
+++ b/tools/hic-check.hs
@@ -0,0 +1,377 @@
+{-# LANGUAGE LambdaCase        #-}
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE RecordWildCards   #-}
+module Main (main) where
+
+import qualified Control.Exception                                 as E
+import           Control.Monad                                     (when)
+import           Data.Aeson                                        (encode)
+import qualified Data.ByteString                                   as B
+import qualified Data.ByteString.Lazy                              as BL
+import           Data.Fix                                          (Fix (..),
+                                                                    foldFix)
+import           Data.Functor.Identity                             (Identity (..),
+                                                                    runIdentity)
+import           Data.List                                         (find, nub)
+import           Data.Map.Strict                                   (Map)
+import qualified Data.Map.Strict                                   as Map
+import           Data.Maybe                                        (mapMaybe)
+import           Data.Set                                          (Set)
+import qualified Data.Set                                          as Set
+import           Data.Text                                         (Text)
+import qualified Data.Text                                         as T
+import qualified Data.Text.Encoding                                as T
+import qualified Data.Text.Encoding.Error                          as T
+import qualified Data.Text.IO                                      as Text
+import qualified Language.Cimple                                   as C
+import           Language.Cimple.Analysis.ArrayUsageAnalysis       (runArrayUsageAnalysis)
+import           Language.Cimple.Analysis.CallGraphAnalysis        (CallGraphResult (..),
+                                                                    runCallGraphAnalysis)
+import           Language.Cimple.Analysis.ConstraintGeneration     (ConstraintGenResult (..),
+                                                                    runConstraintGeneration)
+import qualified Language.Cimple.Analysis.ConstraintGeneration     as CG
+import           Language.Cimple.Analysis.Errors                   (Context (..),
+                                                                    ErrorInfo (..))
+import           Language.Cimple.Analysis.GlobalStructuralAnalysis (GlobalAnalysisResult (..),
+                                                                    runGlobalStructuralAnalysis)
+import           Language.Cimple.Analysis.NullabilityAnalysis      (runNullabilityAnalysis)
+import           Language.Cimple.Analysis.OrderedSolver            (OrderedSolverResult (..),
+                                                                    runOrderedSolver)
+import           Language.Cimple.Analysis.Pretty                   (ppErrorInfo)
+import           Language.Cimple.Analysis.Refined.Inference        (RefinedResult (..),
+                                                                    inferRefined)
+import           Language.Cimple.Analysis.Refined.Registry         (Registry (..))
+import           Language.Cimple.Analysis.Refined.Types            (AnyRigidNodeF (..))
+import           Language.Cimple.Analysis.TypeCheck                (typeCheckProgram)
+import qualified Language.Cimple.Analysis.TypeCheck.Constraints    as TC
+import           Language.Cimple.Analysis.TypeCheck.Solver         (solveConstraints)
+import           Language.Cimple.Hic.Analyze                       (nodeName)
+import           Language.Cimple.Hic.Ast                           (HicNode (..),
+                                                                    Node,
+                                                                    NodeF (..))
+import           Language.Cimple.Hic.Pretty                        (ppNode)
+import           Language.Cimple.Hic.Program                       (Program (..),
+                                                                    fromCimple,
+                                                                    toCimple)
+import qualified Language.Cimple.IO                                as CIO
+import qualified Language.Cimple.Program                           as Program
+import           Options.Applicative
+import           Prettyprinter                                     (Doc, defaultLayoutOptions,
+                                                                    layoutPretty,
+                                                                    unAnnotate)
+import qualified Prettyprinter.Render.Terminal                     as Terminal
+import qualified Prettyprinter.Render.Text                         as TextRender
+import           System.Exit                                       (ExitCode (..),
+                                                                    exitFailure,
+                                                                    exitSuccess)
+import           System.IO                                         (hIsTerminalDevice,
+                                                                    stdout)
+import           System.Process                                    (callProcess)
+import           Text.Groom                                        (groom)
+
+data Phase
+    = PhaseGlobalStructural
+    | PhaseArrayUsage
+    | PhaseCallGraph
+    | PhaseNullability
+    | PhaseConstraintGen
+    | PhaseSolving
+    | PhaseHicInference
+    | PhaseRefinedSolver
+    deriving (Show, Eq, Ord, Enum, Bounded)
+
+phaseName :: Phase -> String
+phaseName = \case
+    PhaseGlobalStructural -> "global-structural"
+    PhaseArrayUsage       -> "array-usage"
+    PhaseCallGraph        -> "call-graph"
+    PhaseNullability      -> "nullability"
+    PhaseConstraintGen    -> "constraint-gen"
+    PhaseSolving          -> "solving"
+    PhaseHicInference     -> "hic-inference"
+    PhaseRefinedSolver    -> "refined-solver"
+
+parsePhase :: String -> Either String Phase
+parsePhase s =
+    case find (\(p) -> phaseName p == s) [minBound .. maxBound] of
+        Just p  -> Right p
+        Nothing -> Left $ "Unknown phase: " ++ s
+
+data SolverType = SolverOrdered | SolverSimple
+    deriving (Show, Eq, Ord, Enum, Bounded)
+
+solverName :: SolverType -> String
+solverName = \case
+    SolverOrdered -> "ordered"
+    SolverSimple  -> "simple"
+
+parseSolver :: String -> Either String SolverType
+parseSolver s =
+    case find (\(p) -> solverName p == s) [minBound .. maxBound] of
+        Just p  -> Right p
+        Nothing -> Left $ "Unknown solver: " ++ s
+
+data Options = Options
+    { optInputs     :: [FilePath]
+    , optExemplars  :: Bool
+    , optDumpJson   :: Maybe FilePath
+    , optStopAfter  :: Phase
+    , optMaxErrors  :: Int
+    , optSolver     :: SolverType
+    , optNoOwner    :: Bool
+    , optNoNullable :: Bool
+    , optColor      :: Bool
+    }
+
+options :: Parser Options
+options = Options
+    <$> some (strArgument (metavar "FILE..." <> help "Input C files"))
+    <*> switch (long "exemplars" <> help "Show exemplars of inferred structures")
+    <*> optional (strOption (long "dump-json" <> metavar "BASENAME" <> help "Dump analysis results for each phase to BASENAME-<phase>.json"))
+    <*> option (eitherReader parsePhase)
+        (  long "stop-after"
+        <> metavar "PHASE"
+        <> value PhaseHicInference
+        <> showDefault
+        <> help "Stop after a specific phase (global-structural, array-usage, call-graph, nullability, constraint-gen, solving, hic-inference, refined-solver)"
+        )
+    <*> option auto
+        (  long "max-errors"
+        <> metavar "COUNT"
+        <> value 5
+        <> showDefault
+        <> help "Maximum number of errors to display"
+        )
+    <*> option (eitherReader parseSolver)
+        (  long "solver"
+        <> metavar "SOLVER"
+        <> value SolverOrdered
+        <> showDefault
+        <> help "Solver to use (ordered, simple)"
+        )
+    <*> switch (long "no-owner" <> help "Disable owner checks")
+    <*> switch (long "no-nullable" <> help "Disable nullable/nonnull checks")
+    <*> switch (long "color" <> help "Always output color diagnostics")
+
+renderDoc :: Bool -> Doc Terminal.AnsiStyle -> IO ()
+renderDoc forceColor doc = do
+    isTerm <- hIsTerminalDevice stdout
+    if isTerm || forceColor
+        then Terminal.renderIO stdout (layoutPretty defaultLayoutOptions doc)
+        else TextRender.renderIO stdout (layoutPretty defaultLayoutOptions (unAnnotate doc))
+
+filterProgram :: Options -> Program.Program Text -> Program.Program Text
+filterProgram opts prog =
+    let tus = Program.toList prog
+        tus' = runIdentity $ C.mapAst actions tus
+    in case Program.fromList tus' of
+        Left err -> error $ "filterProgram: " ++ err
+        Right p  -> p
+  where
+    actions :: C.IdentityActions Identity Text
+    actions = C.identityActions
+        { C.doNode = \_ _ next -> do
+            n <- next
+            case unFix n of
+                C.TyOwner i | optNoOwner opts -> return i
+                C.TyNonnull i | optNoNullable opts -> return i
+                C.TyNullable i | optNoNullable opts -> return i
+                C.NonNullParam i | optNoNullable opts -> return i
+                C.NullableParam i | optNoNullable opts -> return i
+                C.DeclSpecArray _ size | optNoNullable opts -> return $ Fix $ C.DeclSpecArray C.NullabilityUnspecified size
+                _ -> return n
+        }
+
+main :: IO ()
+main = E.handle handler $ do
+    opts <- execParser (info (options <**> helper) fullDesc)
+    result <- CIO.parseProgram (optInputs opts)
+    case result of
+        Left err -> do
+            putStrLn $ "Parse error: " ++ err
+            exitFailure
+        Right program' -> do
+            let program = filterProgram opts program'
+            let runPhase p act = do
+                    res <- act
+                    case optDumpJson opts of
+                        Just base -> do
+                            let path = base ++ "-" ++ phaseName p ++ ".json"
+                            putStrLn $ "Dumping " ++ show p ++ " to " ++ path ++ "..."
+                            BL.writeFile path (encode res)
+                        Nothing -> return ()
+                    if p == optStopAfter opts
+                        then exitSuccess
+                        else return res
+
+            -- Phase 1: Global Structural Analysis
+            globalAnalysis <- runPhase PhaseGlobalStructural $ do
+                putStrLn "Phase 1: Global Structural Analysis..."
+                return $ runGlobalStructuralAnalysis program
+
+            -- Phase 2: Array Usage Analysis
+            arrayUsage <- runPhase PhaseArrayUsage $ do
+                putStrLn "Phase 2: Array Usage Analysis..."
+                return $ runArrayUsageAnalysis (garTypeSystem globalAnalysis) program
+
+            -- Phase 3: Call Graph Analysis
+            callGraph <- runPhase PhaseCallGraph $ do
+                putStrLn "Phase 3: Call Graph Analysis..."
+                return $ runCallGraphAnalysis program
+
+            -- Phase 4: Nullability Analysis
+            nullability <- runPhase PhaseNullability $ do
+                putStrLn "Phase 4: Nullability Analysis..."
+                return $ runNullabilityAnalysis program
+
+            -- Phase 5: Constraint Generation
+            constraintGen <- runPhase PhaseConstraintGen $ do
+                putStrLn "Phase 5: Constraint Generation..."
+                return $ runConstraintGeneration (garTypeSystem globalAnalysis) arrayUsage nullability program
+
+            -- Phase 5: Solving (Type Checking)
+            _ <- runPhase PhaseSolving $ do
+                putStrLn $ "Phase 5: Constraint Solving (using " ++ solverName (optSolver opts) ++ " solver)..."
+                let errors = case optSolver opts of
+                        SolverOrdered ->
+                            let osr = runOrderedSolver (garTypeSystem globalAnalysis) (cgrSccs callGraph) constraintGen
+                            in osrErrors osr
+                        SolverSimple ->
+                            let mapConstraint = \case
+                                    CG.Equality t1 t2 ml ctx r -> Just $ TC.Equality t1 t2 ml ctx r
+                                    CG.Subtype t1 t2 ml ctx r  -> Just $ TC.Subtype t1 t2 ml ctx r
+                                    CG.Callable t1 atys _rt ml ctx csId sr -> Just $ TC.Callable t1 atys ml ctx csId sr
+                                    CG.MemberAccess t1 f mt ml ctx r -> Just $ TC.MemberAccess t1 f mt ml ctx r
+                                    CG.CoordinatedPair tr a e ml ctx _mCsId -> Just $ TC.CoordinatedPair tr a e ml ctx
+                                    CG.Lub {} -> Nothing
+                            in solveConstraints (garTypeSystem globalAnalysis) (mapMaybe mapConstraint $ concat $ Map.elems $ CG.cgrConstraints constraintGen)
+
+                let extractPath ei = case find isFile (errContext ei) of
+                        Just (InFile p) -> p
+                        _               -> "unknown"
+                    isFile = \case InFile _ -> True; _ -> False
+
+                if null errors
+                    then putStrLn "Type check successful."
+                    else do
+                        putStrLn "Type check failed with the following errors:"
+                        let paths = nub $ map extractPath errors
+                        fileCache <- Map.fromList <$> mapM (\(p) -> do
+                            if p == "unknown"
+                                then return (p, [])
+                                else do
+                                    content <- T.decodeUtf8With T.lenientDecode <$> B.readFile p
+                                    return (p, T.lines content)) paths
+
+                        mapM_ (\ei -> do
+                            let path = extractPath ei
+                            let mSnippet = case errLoc ei of
+                                    Just (C.L (C.AlexPn _ lineNum _) _ _) -> do
+                                        ls <- Map.lookup path fileCache
+                                        if lineNum > 0 && lineNum <= length ls
+                                            then Just (ls !! (lineNum - 1))
+                                            else Nothing
+                                    Nothing -> Nothing
+                            renderDoc (optColor opts) (ppErrorInfo path ei mSnippet)
+                            putStrLn "") (take (optMaxErrors opts) errors)
+                        when (length errors > optMaxErrors opts) $
+                            putStrLn $ "... and " ++ show (length errors - optMaxErrors opts) ++ " more errors elided."
+                return ()
+
+            -- Phase 6: Hic Inference
+            putStrLn "Phase 6: Global Inference..."
+            let hicProgram = fromCimple program
+            let stats = collectStats hicProgram
+
+            if optExemplars opts
+                then showExemplars (optColor opts) hicProgram
+                else do
+                    putStrLn "Comparing round-tripped ASTs..."
+                    let loweredProgram = toCimple hicProgram
+                    let originalList = Program.toList program
+                    let loweredMap = Map.fromList $ Program.toList loweredProgram
+
+                    mapM_ (checkFile loweredMap) originalList
+
+                    putStrLn "\nDiagnostics:"
+                    if null (progDiagnostics hicProgram)
+                        then putStrLn "  None."
+                        else mapM_ (Text.putStrLn . ("  " <>)) (progDiagnostics hicProgram)
+
+                    putStrLn "\nInferred Constructs Statistics:"
+                    if Map.null stats
+                        then putStrLn $ "  No high-level constructs inferred (baseline only)."
+                        else mapM_ (\(name, count) -> putStrLn $ "  " ++ name ++ ": " ++ show count) (Map.toList stats)
+
+            -- Phase 7: Refined Solver
+            _ <- runPhase PhaseRefinedSolver $ do
+                putStrLn "Phase 7: Refined Type Analysis..."
+                let refinedResult = inferRefined (garTypeSystem globalAnalysis) hicProgram
+                let hasWork = not (Map.null (rrSolverStates refinedResult))
+                if not hasWork
+                    then putStrLn "  No refined types to analyze."
+                    else do
+                        putStrLn $ "  Graph size: " ++ show (Map.size (rrSolverStates refinedResult)) ++ " nodes"
+                        putStrLn $ "  Registry size: " ++ show (Map.size (regDefinitions (rrRegistry refinedResult))) ++ " types"
+                        if null (rrErrors refinedResult)
+                            then putStrLn "  Refined check successful."
+                            else do
+                                putStrLn "  Refined check failed with errors:"
+                                mapM_ (Text.putStrLn . ("    " <>)) (rrErrors refinedResult)
+                                exitFailure
+                return refinedResult
+
+            return ()
+  where
+    handler :: E.SomeException -> IO ()
+    handler e = case E.fromException e of
+        Just ec -> E.throwIO (ec :: ExitCode)
+        Nothing -> do
+            putStr . unlines . take 20 . map (take 100) . lines $ show e
+            exitFailure
+
+showExemplars :: Bool -> Program (C.Lexeme Text) -> IO ()
+showExemplars forceColor Program{..} = do
+    let exemplars :: Map String (Text, Node (C.Lexeme Text))
+        exemplars = Map.fromListWith (\_ old -> old) $
+            [ (name, (C.sloc path n, n))
+            | (path, nodes) <- Map.toList progAsts
+            , node <- nodes
+            , (name, n) <- collectExemplars node
+            ]
+    mapM_ printExemplar (Map.toList exemplars)
+  where
+    collectExemplars :: Node (C.Lexeme Text) -> [(String, Node (C.Lexeme Text))]
+    collectExemplars n@(Fix (HicNode h)) = (nodeName h, n) : concatMap collectExemplars h
+    collectExemplars (Fix (CimpleNode f)) = concatMap collectExemplars f
+
+    printExemplar (name, (loc, node)) = do
+        putStrLn $ "Exemplar for " ++ name ++ " at " ++ T.unpack loc ++ ":"
+        renderDoc forceColor (ppNode node)
+        putStrLn "\n"
+
+collectStats :: Program (C.Lexeme Text) -> Map String Int
+collectStats Program{..} =
+    Map.unionsWith (+) . map (Map.unionsWith (+) . map countNode) $ Map.elems progAsts
+
+countNode :: Node (C.Lexeme Text) -> Map String Int
+countNode = foldFix $ \case
+    CimpleNode f -> Map.unionsWith (+) f
+    HicNode h    -> Map.insertWith (+) (nodeName h) 1 (Map.unionsWith (+) h)
+
+checkFile :: Map FilePath [C.Node (C.Lexeme Text)] -> (FilePath, [C.Node (C.Lexeme Text)]) -> IO ()
+checkFile loweredMap (path, nodes) = do
+    let original = map (C.removeSloc . C.elideGroups) nodes
+    let roundtripped = map (C.removeSloc . C.elideGroups) (loweredMap Map.! path)
+
+    if original == roundtripped
+        then return ()
+        else do
+            putStrLn $ "  Round-trip failed for " ++ path
+            let origFile = "/tmp/hic-check-original.ast"
+            let newFile = "/tmp/hic-check-roundtripped.ast"
+            writeFile origFile (groom original)
+            writeFile newFile (groom roundtripped)
+            putStrLn "Diff:"
+            callProcess "diff" ["-u", "--color=auto", origFile, newFile]
+            exitFailure
