diff --git a/ChangeLog.md b/ChangeLog.md
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--- /dev/null
+++ b/ChangeLog.md
@@ -0,0 +1,5 @@
+# Revision history for data-effects-core
+
+## 0.1.0.0 -- 2023-09-18
+
+* Initial public release.
diff --git a/LICENSE b/LICENSE
new file mode 100644
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,373 @@
+Mozilla Public License Version 2.0
+==================================
+
+1. Definitions
+--------------
+
+1.1. "Contributor"
+    means each individual or legal entity that creates, contributes to
+    the creation of, or owns Covered Software.
+
+1.2. "Contributor Version"
+    means the combination of the Contributions of others (if any) used
+    by a Contributor and that particular Contributor's Contribution.
+
+1.3. "Contribution"
+    means Covered Software of a particular Contributor.
+
+1.4. "Covered Software"
+    means Source Code Form to which the initial Contributor has attached
+    the notice in Exhibit A, the Executable Form of such Source Code
+    Form, and Modifications of such Source Code Form, in each case
+    including portions thereof.
+
+1.5. "Incompatible With Secondary Licenses"
+    means
+
+    (a) that the initial Contributor has attached the notice described
+        in Exhibit B to the Covered Software; or
+
+    (b) that the Covered Software was made available under the terms of
+        version 1.1 or earlier of the License, but not also under the
+        terms of a Secondary License.
+
+1.6. "Executable Form"
+    means any form of the work other than Source Code Form.
+
+1.7. "Larger Work"
+    means a work that combines Covered Software with other material, in
+    a separate file or files, that is not Covered Software.
+
+1.8. "License"
+    means this document.
+
+1.9. "Licensable"
+    means having the right to grant, to the maximum extent possible,
+    whether at the time of the initial grant or subsequently, any and
+    all of the rights conveyed by this License.
+
+1.10. "Modifications"
+    means any of the following:
+
+    (a) any file in Source Code Form that results from an addition to,
+        deletion from, or modification of the contents of Covered
+        Software; or
+
+    (b) any new file in Source Code Form that contains any Covered
+        Software.
+
+1.11. "Patent Claims" of a Contributor
+    means any patent claim(s), including without limitation, method,
+    process, and apparatus claims, in any patent Licensable by such
+    Contributor that would be infringed, but for the grant of the
+    License, by the making, using, selling, offering for sale, having
+    made, import, or transfer of either its Contributions or its
+    Contributor Version.
+
+1.12. "Secondary License"
+    means either the GNU General Public License, Version 2.0, the GNU
+    Lesser General Public License, Version 2.1, the GNU Affero General
+    Public License, Version 3.0, or any later versions of those
+    licenses.
+
+1.13. "Source Code Form"
+    means the form of the work preferred for making modifications.
+
+1.14. "You" (or "Your")
+    means an individual or a legal entity exercising rights under this
+    License. For legal entities, "You" includes any entity that
+    controls, is controlled by, or is under common control with You. For
+    purposes of this definition, "control" means (a) the power, direct
+    or indirect, to cause the direction or management of such entity,
+    whether by contract or otherwise, or (b) ownership of more than
+    fifty percent (50%) of the outstanding shares or beneficial
+    ownership of such entity.
+
+2. License Grants and Conditions
+--------------------------------
+
+2.1. Grants
+
+Each Contributor hereby grants You a world-wide, royalty-free,
+non-exclusive license:
+
+(a) under intellectual property rights (other than patent or trademark)
+    Licensable by such Contributor to use, reproduce, make available,
+    modify, display, perform, distribute, and otherwise exploit its
+    Contributions, either on an unmodified basis, with Modifications, or
+    as part of a Larger Work; and
+
+(b) under Patent Claims of such Contributor to make, use, sell, offer
+    for sale, have made, import, and otherwise transfer either its
+    Contributions or its Contributor Version.
+
+2.2. Effective Date
+
+The licenses granted in Section 2.1 with respect to any Contribution
+become effective for each Contribution on the date the Contributor first
+distributes such Contribution.
+
+2.3. Limitations on Grant Scope
+
+The licenses granted in this Section 2 are the only rights granted under
+this License. No additional rights or licenses will be implied from the
+distribution or licensing of Covered Software under this License.
+Notwithstanding Section 2.1(b) above, no patent license is granted by a
+Contributor:
+
+(a) for any code that a Contributor has removed from Covered Software;
+    or
+
+(b) for infringements caused by: (i) Your and any other third party's
+    modifications of Covered Software, or (ii) the combination of its
+    Contributions with other software (except as part of its Contributor
+    Version); or
+
+(c) under Patent Claims infringed by Covered Software in the absence of
+    its Contributions.
+
+This License does not grant any rights in the trademarks, service marks,
+or logos of any Contributor (except as may be necessary to comply with
+the notice requirements in Section 3.4).
+
+2.4. Subsequent Licenses
+
+No Contributor makes additional grants as a result of Your choice to
+distribute the Covered Software under a subsequent version of this
+License (see Section 10.2) or under the terms of a Secondary License (if
+permitted under the terms of Section 3.3).
+
+2.5. Representation
+
+Each Contributor represents that the Contributor believes its
+Contributions are its original creation(s) or it has sufficient rights
+to grant the rights to its Contributions conveyed by this License.
+
+2.6. Fair Use
+
+This License is not intended to limit any rights You have under
+applicable copyright doctrines of fair use, fair dealing, or other
+equivalents.
+
+2.7. Conditions
+
+Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted
+in Section 2.1.
+
+3. Responsibilities
+-------------------
+
+3.1. Distribution of Source Form
+
+All distribution of Covered Software in Source Code Form, including any
+Modifications that You create or to which You contribute, must be under
+the terms of this License. You must inform recipients that the Source
+Code Form of the Covered Software is governed by the terms of this
+License, and how they can obtain a copy of this License. You may not
+attempt to alter or restrict the recipients' rights in the Source Code
+Form.
+
+3.2. Distribution of Executable Form
+
+If You distribute Covered Software in Executable Form then:
+
+(a) such Covered Software must also be made available in Source Code
+    Form, as described in Section 3.1, and You must inform recipients of
+    the Executable Form how they can obtain a copy of such Source Code
+    Form by reasonable means in a timely manner, at a charge no more
+    than the cost of distribution to the recipient; and
+
+(b) You may distribute such Executable Form under the terms of this
+    License, or sublicense it under different terms, provided that the
+    license for the Executable Form does not attempt to limit or alter
+    the recipients' rights in the Source Code Form under this License.
+
+3.3. Distribution of a Larger Work
+
+You may create and distribute a Larger Work under terms of Your choice,
+provided that You also comply with the requirements of this License for
+the Covered Software. If the Larger Work is a combination of Covered
+Software with a work governed by one or more Secondary Licenses, and the
+Covered Software is not Incompatible With Secondary Licenses, this
+License permits You to additionally distribute such Covered Software
+under the terms of such Secondary License(s), so that the recipient of
+the Larger Work may, at their option, further distribute the Covered
+Software under the terms of either this License or such Secondary
+License(s).
+
+3.4. Notices
+
+You may not remove or alter the substance of any license notices
+(including copyright notices, patent notices, disclaimers of warranty,
+or limitations of liability) contained within the Source Code Form of
+the Covered Software, except that You may alter any license notices to
+the extent required to remedy known factual inaccuracies.
+
+3.5. Application of Additional Terms
+
+You may choose to offer, and to charge a fee for, warranty, support,
+indemnity or liability obligations to one or more recipients of Covered
+Software. However, You may do so only on Your own behalf, and not on
+behalf of any Contributor. You must make it absolutely clear that any
+such warranty, support, indemnity, or liability obligation is offered by
+You alone, and You hereby agree to indemnify every Contributor for any
+liability incurred by such Contributor as a result of warranty, support,
+indemnity or liability terms You offer. You may include additional
+disclaimers of warranty and limitations of liability specific to any
+jurisdiction.
+
+4. Inability to Comply Due to Statute or Regulation
+---------------------------------------------------
+
+If it is impossible for You to comply with any of the terms of this
+License with respect to some or all of the Covered Software due to
+statute, judicial order, or regulation then You must: (a) comply with
+the terms of this License to the maximum extent possible; and (b)
+describe the limitations and the code they affect. Such description must
+be placed in a text file included with all distributions of the Covered
+Software under this License. Except to the extent prohibited by statute
+or regulation, such description must be sufficiently detailed for a
+recipient of ordinary skill to be able to understand it.
+
+5. Termination
+--------------
+
+5.1. The rights granted under this License will terminate automatically
+if You fail to comply with any of its terms. However, if You become
+compliant, then the rights granted under this License from a particular
+Contributor are reinstated (a) provisionally, unless and until such
+Contributor explicitly and finally terminates Your grants, and (b) on an
+ongoing basis, if such Contributor fails to notify You of the
+non-compliance by some reasonable means prior to 60 days after You have
+come back into compliance. Moreover, Your grants from a particular
+Contributor are reinstated on an ongoing basis if such Contributor
+notifies You of the non-compliance by some reasonable means, this is the
+first time You have received notice of non-compliance with this License
+from such Contributor, and You become compliant prior to 30 days after
+Your receipt of the notice.
+
+5.2. If You initiate litigation against any entity by asserting a patent
+infringement claim (excluding declaratory judgment actions,
+counter-claims, and cross-claims) alleging that a Contributor Version
+directly or indirectly infringes any patent, then the rights granted to
+You by any and all Contributors for the Covered Software under Section
+2.1 of this License shall terminate.
+
+5.3. In the event of termination under Sections 5.1 or 5.2 above, all
+end user license agreements (excluding distributors and resellers) which
+have been validly granted by You or Your distributors under this License
+prior to termination shall survive termination.
+
+************************************************************************
+*                                                                      *
+*  6. Disclaimer of Warranty                                           *
+*  -------------------------                                           *
+*                                                                      *
+*  Covered Software is provided under this License on an "as is"       *
+*  basis, without warranty of any kind, either expressed, implied, or  *
+*  statutory, including, without limitation, warranties that the       *
+*  Covered Software is free of defects, merchantable, fit for a        *
+*  particular purpose or non-infringing. The entire risk as to the     *
+*  quality and performance of the Covered Software is with You.        *
+*  Should any Covered Software prove defective in any respect, You     *
+*  (not any Contributor) assume the cost of any necessary servicing,   *
+*  repair, or correction. This disclaimer of warranty constitutes an   *
+*  essential part of this License. No use of any Covered Software is   *
+*  authorized under this License except under this disclaimer.         *
+*                                                                      *
+************************************************************************
+
+************************************************************************
+*                                                                      *
+*  7. Limitation of Liability                                          *
+*  --------------------------                                          *
+*                                                                      *
+*  Under no circumstances and under no legal theory, whether tort      *
+*  (including negligence), contract, or otherwise, shall any           *
+*  Contributor, or anyone who distributes Covered Software as          *
+*  permitted above, be liable to You for any direct, indirect,         *
+*  special, incidental, or consequential damages of any character      *
+*  including, without limitation, damages for lost profits, loss of    *
+*  goodwill, work stoppage, computer failure or malfunction, or any    *
+*  and all other commercial damages or losses, even if such party      *
+*  shall have been informed of the possibility of such damages. This   *
+*  limitation of liability shall not apply to liability for death or   *
+*  personal injury resulting from such party's negligence to the       *
+*  extent applicable law prohibits such limitation. Some               *
+*  jurisdictions do not allow the exclusion or limitation of           *
+*  incidental or consequential damages, so this exclusion and          *
+*  limitation may not apply to You.                                    *
+*                                                                      *
+************************************************************************
+
+8. Litigation
+-------------
+
+Any litigation relating to this License may be brought only in the
+courts of a jurisdiction where the defendant maintains its principal
+place of business and such litigation shall be governed by laws of that
+jurisdiction, without reference to its conflict-of-law provisions.
+Nothing in this Section shall prevent a party's ability to bring
+cross-claims or counter-claims.
+
+9. Miscellaneous
+----------------
+
+This License represents the complete agreement concerning the subject
+matter hereof. If any provision of this License is held to be
+unenforceable, such provision shall be reformed only to the extent
+necessary to make it enforceable. Any law or regulation which provides
+that the language of a contract shall be construed against the drafter
+shall not be used to construe this License against a Contributor.
+
+10. Versions of the License
+---------------------------
+
+10.1. New Versions
+
+Mozilla Foundation is the license steward. Except as provided in Section
+10.3, no one other than the license steward has the right to modify or
+publish new versions of this License. Each version will be given a
+distinguishing version number.
+
+10.2. Effect of New Versions
+
+You may distribute the Covered Software under the terms of the version
+of the License under which You originally received the Covered Software,
+or under the terms of any subsequent version published by the license
+steward.
+
+10.3. Modified Versions
+
+If you create software not governed by this License, and you want to
+create a new license for such software, you may create and use a
+modified version of this License if you rename the license and remove
+any references to the name of the license steward (except to note that
+such modified license differs from this License).
+
+10.4. Distributing Source Code Form that is Incompatible With Secondary
+Licenses
+
+If You choose to distribute Source Code Form that is Incompatible With
+Secondary Licenses under the terms of this version of the License, the
+notice described in Exhibit B of this License must be attached.
+
+Exhibit A - Source Code Form License Notice
+-------------------------------------------
+
+  This Source Code Form is subject to the terms of the Mozilla Public
+  License, v. 2.0. If a copy of the MPL was not distributed with this
+  file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+If it is not possible or desirable to put the notice in a particular
+file, then You may include the notice in a location (such as a LICENSE
+file in a relevant directory) where a recipient would be likely to look
+for such a notice.
+
+You may add additional accurate notices of copyright ownership.
+
+Exhibit B - "Incompatible With Secondary Licenses" Notice
+---------------------------------------------------------
+
+  This Source Code Form is "Incompatible With Secondary Licenses", as
+  defined by the Mozilla Public License, v. 2.0.
diff --git a/NOTICE b/NOTICE
new file mode 100644
--- /dev/null
+++ b/NOTICE
@@ -0,0 +1,7 @@
+NOTICE
+======
+
+Unless explicitly stated otherwise, all Source Code Forms
+(recursively, including under subdirectories) contained in the directory
+where this NOTICE file is located are subject to the terms of the
+Mozilla Public License, v. 2.0.
diff --git a/README.md b/README.md
new file mode 100644
--- /dev/null
+++ b/README.md
@@ -0,0 +1,22 @@
+# data-effects
+
+[![Hackage](https://img.shields.io/hackage/v/data-effects.svg?logo=haskell&label=data-effects)](https://hackage.haskell.org/package/data-effects)
+[![Hackage](https://img.shields.io/hackage/v/data-effects-core.svg?logo=haskell&label=data-effects-core)](https://hackage.haskell.org/package/data-effects-core)
+[![Hackage](https://img.shields.io/hackage/v/data-effects-th.svg?logo=haskell&label=data-effects-th)](https://hackage.haskell.org/package/data-effects-th)
+
+A basic framework for a Haskell effect system library based on GADTs-based effect representations
+with a style that separates first-order effects and higher-order effects.
+
+This library set was created by being separated from
+the [Heftia](https://github.com/sayo-hs/heftia) extensible effects library.
+
+## Your contributions are welcome!
+Please see [CONTRIBUTING.md](CONTRIBUTING.md).
+
+## Credits
+Parts of this project have been adapted or inspired by the following resources:
+
+* **[compdata](https://github.com/pa-ba/compdata)**
+    * **Copyright** (c) 2010--2011 Patrick Bahr, Tom Hvitved
+    * **License**: BSD-3-Clause
+    * **Modifications**: Used TemplateHaskell code to derive instances of the `HFunctor` type class.
diff --git a/data-effects-core.cabal b/data-effects-core.cabal
new file mode 100644
--- /dev/null
+++ b/data-effects-core.cabal
@@ -0,0 +1,102 @@
+cabal-version:      2.4
+name:               data-effects-core
+version:            0.1.0.0
+
+-- A short (one-line) description of the package.
+synopsis: A basic framework for effect systems based on effects represented by GADTs.
+
+-- A longer description of the package.
+description:
+    This library provides core definitions of [data-effects](https://hackage.haskell.org/package/data-effects).
+
+-- A URL where users can report bugs.
+bug-reports: https://github.com/sayo-hs/data-effects
+
+-- The license under which the package is released.
+license:            MPL-2.0
+license-file:       LICENSE
+author:             Yamada Ryo <ymdfield@outlook.jp>
+maintainer:         Yamada Ryo <ymdfield@outlook.jp>
+
+-- A copyright notice.
+copyright:
+    2023-2024 Yamada Ryo,
+    2023 Casper Bach Poulsen and Cas van der Rest
+
+category: Control, Effect
+
+extra-source-files:
+    ChangeLog.md
+    NOTICE
+    README.md
+
+tested-with:
+    GHC == 9.2.8
+
+source-repository head
+    type: git
+    location: https://github.com/sayo-hs/data-effects
+    tag: v0.1.0
+    subdir: data-effects-core
+
+library
+    exposed-modules:
+        Data.Effect
+        Data.Effect.Tag
+        Data.Effect.Key
+        Data.Effect.HFunctor
+        Data.Effect.HFunctor.HCont
+        Control.Effect
+        Control.Effect.Tag
+        Control.Effect.Key
+
+    -- Modules included in this executable, other than Main.
+    -- other-modules:
+
+    -- LANGUAGE extensions used by modules in this package.
+    -- other-extensions:
+    build-depends:
+        base                          ^>= 4.16.4.0,
+        compdata                      ^>= 0.13.1,
+        mtl                           ^>= 2.2.2,
+
+    hs-source-dirs:   src
+    ghc-options:      -Wall
+    default-language: GHC2021
+
+    default-extensions:
+        LambdaCase,
+        DerivingStrategies,
+        DataKinds,
+        TypeFamilies,
+        BlockArguments,
+        FunctionalDependencies,
+        RecordWildCards,
+        DefaultSignatures
+
+
+test-suite test
+    main-is: Driver.hs
+    hs-source-dirs: test
+    build-depends:
+        data-effects-core,
+        base,
+        tasty                         ^>= 1.4,
+        tasty-hunit                   ^>= 0.10,
+
+    type: exitcode-stdio-1.0
+
+    build-tool-depends:
+        tasty-discover:tasty-discover
+
+    default-language: GHC2021
+
+    default-extensions:
+        LambdaCase,
+        DerivingStrategies,
+        DataKinds,
+        TypeFamilies,
+        BlockArguments,
+        FunctionalDependencies,
+        RecordWildCards,
+        DefaultSignatures
diff --git a/src/Control/Effect.hs b/src/Control/Effect.hs
new file mode 100644
--- /dev/null
+++ b/src/Control/Effect.hs
@@ -0,0 +1,44 @@
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Control.Effect where
+
+import Data.Effect (InsClass, LiftIns (unliftIns), SigClass)
+import Data.Kind (Type)
+
+-- | A type class that represents the ability to send an /instruction/ @ins@ to carrier @f@.
+class SendIns (ins :: InsClass) f where
+    -- | Send an /instruction/ @ins@ to carrier @f@.
+    sendIns :: ins a -> f a
+
+-- | The operator version of `SendIns`.
+type (<:) = SendIns
+
+infix 2 <:
+
+-- | A type class that represents the ability to send a /signature/ @sig@ to carrier @f@.
+class SendSig (sig :: SigClass) f where
+    -- | Send a /signature/ @sig@ to carrier @f@.
+    sendSig :: sig f a -> f a
+
+-- | The operator version of `SendSig`.
+type (<<:) = SendSig
+
+infix 2 <<:
+
+instance SendIns ins f => SendSig (LiftIns ins) f where
+    sendSig = sendIns . unliftIns
+    {-# INLINE sendSig #-}
+
+-- | A natural transformation.
+type f ~> g = forall (x :: Type). f x -> g x
+
+infixr 2 ~>
diff --git a/src/Control/Effect/Key.hs b/src/Control/Effect/Key.hs
new file mode 100644
--- /dev/null
+++ b/src/Control/Effect/Key.hs
@@ -0,0 +1,66 @@
+{-# LANGUAGE AllowAmbiguousTypes #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Control.Effect.Key where
+
+import Control.Applicative (Alternative)
+import Control.Effect (SendIns (sendIns), SendSig (sendSig))
+import Control.Monad (MonadPlus)
+import Control.Monad.Except (MonadError)
+import Control.Monad.Fix (MonadFix)
+import Control.Monad.IO.Class (MonadIO)
+import Control.Monad.RWS (MonadRWS)
+import Control.Monad.Reader (MonadReader)
+import Control.Monad.State (MonadState)
+import Control.Monad.Writer (MonadWriter)
+import Data.Coerce (coerce)
+import Data.Effect (InsClass, SigClass)
+import Data.Effect.HFunctor (HFunctor, hfmap)
+import Data.Kind (Type)
+
+class SendInsBy key (ins :: InsClass) f | key f -> ins where
+    sendInsBy :: ins a -> f a
+
+class SendSigBy key (sig :: SigClass) f | key f -> sig where
+    sendSigBy :: sig f a -> f a
+
+-- | A wrapper data type to represent sending an effect to the carrier @f@ with the specified key.
+newtype ByKey key (f :: Type -> Type) a = ByKey {runByKey :: f a}
+    deriving newtype
+        ( Functor
+        , Applicative
+        , Alternative
+        , Monad
+        , MonadPlus
+        , MonadFix
+        , MonadIO
+        , MonadFail
+        , MonadReader r
+        , MonadWriter w
+        , MonadState s
+        , MonadRWS r w s
+        , MonadError e
+        )
+
+-- | Send all effects within the scope, keyed, to carrier @f@.
+key :: forall key f a. ByKey key f a -> f a
+key = runByKey
+{-# INLINE key #-}
+
+instance SendInsBy key ins f => SendIns ins (ByKey key f) where
+    sendIns = ByKey . sendInsBy @key
+    {-# INLINE sendIns #-}
+
+instance (SendSigBy key sig f, HFunctor sig) => SendSig sig (ByKey key f) where
+    sendSig = ByKey . sendSigBy @key . hfmap coerce
+    {-# INLINE sendSig #-}
diff --git a/src/Control/Effect/Tag.hs b/src/Control/Effect/Tag.hs
new file mode 100644
--- /dev/null
+++ b/src/Control/Effect/Tag.hs
@@ -0,0 +1,70 @@
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE UndecidableInstances #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Control.Effect.Tag where
+
+import Control.Applicative (Alternative)
+import Control.Effect (SendIns (sendIns), SendSig (sendSig))
+import Control.Effect.Key (SendInsBy, SendSigBy, sendInsBy, sendSigBy)
+import Control.Monad (MonadPlus)
+import Control.Monad.Except (MonadError)
+import Control.Monad.Fix (MonadFix)
+import Control.Monad.IO.Class (MonadIO)
+import Control.Monad.RWS (MonadRWS)
+import Control.Monad.Reader (MonadReader)
+import Control.Monad.State (MonadState)
+import Control.Monad.Writer (MonadWriter)
+import Data.Coerce (coerce)
+import Data.Effect.HFunctor (HFunctor, hfmap)
+import Data.Effect.Tag (pattern T, pattern TH, type (#), type (##))
+import Data.Kind (Type)
+
+-- | A wrapper data type to represent sending an effect to the carrier @f@ with the specified tag.
+newtype ViaTag tag (f :: Type -> Type) a = ViaTag {runViaTag :: f a}
+    deriving newtype
+        ( Functor
+        , Applicative
+        , Alternative
+        , Monad
+        , MonadPlus
+        , MonadFix
+        , MonadIO
+        , MonadFail
+        , MonadReader r
+        , MonadWriter w
+        , MonadState s
+        , MonadRWS r w s
+        , MonadError e
+        )
+
+-- | Send all effects within the scope, tagged, to carrier @f@.
+tag :: forall tag f a. ViaTag tag f a -> f a
+tag = runViaTag
+{-# INLINE tag #-}
+
+instance SendIns (ins # tag) f => SendIns ins (ViaTag tag f) where
+    sendIns = ViaTag . sendIns . T @tag
+    {-# INLINE sendIns #-}
+
+instance (SendSig (sig ## tag) f, HFunctor sig) => SendSig sig (ViaTag tag f) where
+    sendSig = ViaTag . sendSig . TH @tag . hfmap coerce
+    {-# INLINE sendSig #-}
+
+instance SendInsBy key (ins # tag) f => SendInsBy key ins (ViaTag tag f) where
+    sendInsBy = ViaTag . sendInsBy @key . T @tag
+    {-# INLINE sendInsBy #-}
+
+instance (SendSigBy key (sig ## tag) f, HFunctor sig) => SendSigBy key sig (ViaTag tag f) where
+    sendSigBy = ViaTag . sendSigBy @key . TH @tag . hfmap coerce
+    {-# INLINE sendSigBy #-}
diff --git a/src/Data/Effect.hs b/src/Data/Effect.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Effect.hs
@@ -0,0 +1,40 @@
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+               (c) 2023 Casper Bach Poulsen and Cas van der Rest
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Data.Effect where
+
+import Data.Effect.HFunctor (HFunctor, hfmap)
+import Data.Kind (Type)
+
+-- | A kind of /signature class/ (a datatype of higher-order effect).
+type SigClass = (Type -> Type) -> Type -> Type
+
+-- | A kind of /instruction class/ (a datatype of first-order effect).
+type InsClass = Type -> Type
+
+{- | Lift an /instruction class/ to a /signature class/.
+
+     Come from [heft-lang\/POPL2023\/haskell\/src\/Elab.hs]
+    (https://github.com/heft-lang/POPL2023/blob/74afe1d5ce0b491cffe40cc5c73a2a5ee6a94d9c/haskell/src/Elab.hs#L9-L10).
+-}
+newtype LiftIns (ins :: InsClass) (f :: Type -> Type) a = LiftIns {unliftIns :: ins a}
+    deriving stock (Functor, Foldable, Traversable)
+
+instance HFunctor (LiftIns ins) where
+    hfmap _ (LiftIns e) = LiftIns e
+    {-# INLINE hfmap #-}
+
+-- | An /instruction class/ with no effects.
+data Nop :: InsClass
+
+-- | A /signature class/ with no effects.
+type LNop = LiftIns Nop
diff --git a/src/Data/Effect/HFunctor.hs b/src/Data/Effect/HFunctor.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Effect/HFunctor.hs
@@ -0,0 +1,46 @@
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+
+This module re-exports the `HFunctor` type class and related definitions from the `compdata`
+package. For more details, please refer to the
+    [`compdata` documentation](https://hackage.haskell.org/package/compdata-0.13.0/docs/Data-Comp-Multi-HFunctor.html).
+-}
+module Data.Effect.HFunctor (
+    HFunctor (..),
+    RemA (..),
+    DistAnn (..),
+    (:&:) (..),
+    (:=:),
+    (:<:),
+    Subsume (..),
+    Elem,
+    (:+:) (..),
+    caseH,
+    inj,
+    proj,
+    spl,
+) where
+
+import Data.Comp.Multi.HFunctor (HFunctor (hfmap))
+import Data.Comp.Multi.Ops (
+    DistAnn (injectA, projectA),
+    Elem,
+    RemA (remA),
+    Subsume (..),
+    caseH,
+    inj,
+    proj,
+    spl,
+    type (:&:) ((:&:)),
+    type (:+:) (Inl, Inr),
+    type (:<:),
+    type (:=:),
+ )
diff --git a/src/Data/Effect/HFunctor/HCont.hs b/src/Data/Effect/HFunctor/HCont.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Effect/HFunctor/HCont.hs
@@ -0,0 +1,29 @@
+{-# LANGUAGE QuantifiedConstraints #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Data.Effect.HFunctor.HCont where
+
+import Control.Effect (type (~>))
+import Data.Effect.HFunctor (HFunctor, hfmap)
+import Data.Kind (Type)
+
+-- | This represents that the effect @ff@ is finally interpreted as the base carrier @b@.
+newtype HCont ff b f (a :: Type) = HCont {unHCont :: (f ~> b) -> ff b a}
+    deriving stock (Functor)
+
+type (~~>) = HCont
+infixr 8 ~~>
+
+instance HFunctor (HCont ff g) where
+    hfmap phi (HCont f) = HCont \k -> f $ k . phi
+    {-# INLINE hfmap #-}
diff --git a/src/Data/Effect/Key.hs b/src/Data/Effect/Key.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Effect/Key.hs
@@ -0,0 +1,48 @@
+{-# LANGUAGE PatternSynonyms #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Data.Effect.Key where
+
+import Data.Comp.Multi.HFunctor (HFunctor)
+import Data.Effect (InsClass, SigClass)
+
+-- | Keyed /instruction class/.
+newtype Key key (ins :: InsClass) a = Key {unKey :: ins a}
+    deriving stock (Functor, Foldable, Traversable)
+
+-- | Keyed /instruction class/.
+type (#>) = Key
+
+infixr 7 #>
+
+-- | Keyed /instruction class/.
+pattern K :: forall key ins a. ins a -> Key key ins a
+pattern K e = Key e
+
+{-# COMPLETE K #-}
+
+-- | Keyed /signature class/.
+newtype KeyH key (sig :: SigClass) f a = KeyH {unKeyH :: sig f a}
+    deriving stock (Functor, Foldable, Traversable)
+    deriving newtype (HFunctor)
+
+-- | Keyed /signature class/.
+type (##>) = KeyH
+
+infixr 7 ##>
+
+-- | Keyed /signature class/.
+pattern KH :: forall key sig f a. sig f a -> KeyH key sig f a
+pattern KH e = KeyH e
+
+{-# COMPLETE KH #-}
diff --git a/src/Data/Effect/Tag.hs b/src/Data/Effect/Tag.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Effect/Tag.hs
@@ -0,0 +1,48 @@
+{-# LANGUAGE PatternSynonyms #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
+
+{- |
+Copyright   :  (c) 2023-2024 Yamada Ryo
+License     :  MPL-2.0 (see the file LICENSE)
+Maintainer  :  ymdfield@outlook.jp
+Stability   :  experimental
+Portability :  portable
+-}
+module Data.Effect.Tag where
+
+import Data.Comp.Multi.HFunctor (HFunctor)
+import Data.Effect (InsClass, SigClass)
+
+-- | Tagged /instruction class/.
+newtype Tag (ins :: InsClass) tag a = Tag {unTag :: ins a}
+    deriving stock (Functor, Foldable, Traversable)
+
+-- | Tagged /instruction class/.
+type (#) = Tag
+
+infixl 8 #
+
+-- | Tagged /instruction class/.
+pattern T :: forall tag ins a. ins a -> Tag ins tag a
+pattern T e = Tag e
+
+{-# COMPLETE T #-}
+
+-- | Tagged /signature class/.
+newtype TagH (sig :: SigClass) tag f a = TagH {unTagH :: sig f a}
+    deriving stock (Functor, Foldable, Traversable)
+    deriving newtype (HFunctor)
+
+-- | Tagged /signature class/.
+type (##) = TagH
+
+infixl 8 ##
+
+-- | Tagged /signature class/.
+pattern TH :: forall tag sig f a. sig f a -> TagH sig tag f a
+pattern TH e = TagH e
+
+{-# COMPLETE TH #-}
diff --git a/test/Driver.hs b/test/Driver.hs
new file mode 100644
--- /dev/null
+++ b/test/Driver.hs
@@ -0,0 +1,5 @@
+{-# OPTIONS_GHC -F -pgmF tasty-discover #-}
+
+-- This Source Code Form is subject to the terms of the Mozilla Public
+-- License, v. 2.0. If a copy of the MPL was not distributed with this
+-- file, You can obtain one at https://mozilla.org/MPL/2.0/.
