diff --git a/Control/Monad/Trans/Accum.hs b/Control/Monad/Trans/Accum.hs
--- a/Control/Monad/Trans/Accum.hs
+++ b/Control/Monad/Trans/Accum.hs
@@ -18,10 +18,12 @@
 --
 -- The lazy 'AccumT' monad transformer, which adds accumulation
 -- capabilities (such as declarations or document patches) to a given monad.
+-- Each computation has access to the combination of the input environment
+-- and outputs added so far, and returns the outputs added.
 --
--- This monad transformer provides append-only accumulation
--- during the computation. For more general access, use
--- "Control.Monad.Trans.State" instead.
+-- In applications requiring only the ability to accumulate an output and
+-- to inspect the output so far, it would be considerably more efficient
+-- to use "Control.Monad.Trans.State" instead.
 -----------------------------------------------------------------------------
 
 module Control.Monad.Trans.Accum (
@@ -78,8 +80,16 @@
 -- ---------------------------------------------------------------------------
 -- | An accumulation monad parameterized by the type @w@ of output to accumulate.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
+-- This monad is a more complex extension of both the reader and writer
+-- monads.  The 'return' function produces the output 'mempty', while @m
+-- '>>=' k@ uses the output of @m@ both to extend the initial environment
+-- of @k@ and to combine with the output of @k@:
+--
+-- <<images/bind-AccumT.svg>>
+--
+-- In applications requiring only the ability to accumulate an output and
+-- to inspect the output so far, it would be considerably more efficient
+-- to use a state monad.
 type Accum w = AccumT w Identity
 
 -- | Construct an accumulation computation from a (result, output) pair.
@@ -124,21 +134,28 @@
 --
 --   * @m@ - The inner monad.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
---
--- This monad transformer is similar to both state and writer monad transformers.
--- Thus it can be seen as
+-- This monad transformer is a more complex extension of both the reader
+-- and writer monad transformers.  The 'return' function produces the
+-- output 'mempty', while @m '>>=' k@ uses the output of @m@ both to
+-- extend the initial environment of @k@ and to combine with the output
+-- of @k@:
 --
---  * a restricted append-only version of a state monad transformer or
+-- <<images/bind-AccumT.svg>>
 --
---  * a writer monad transformer with the extra ability to read all previous output.
+-- In applications requiring only the ability to accumulate an output and
+-- to inspect the output so far, it would be considerably more efficient
+-- to use a state monad transformer.
 newtype AccumT w m a = AccumT (w -> m (a, w))
 #if __GLASGOW_HASKELL__ >= 704
     deriving (Generic)
 #endif
 
--- | Unwrap an accumulation computation.
+-- | Unwrap an accumulation computation.  For example, in the call
+--
+-- @    (value, locals) <- runAccumT action globals@
+--
+-- the action is fed an initial environment @globals@, and @locals@ is
+-- the sum of all arguments to calls of 'add' executed by the action.
 runAccumT :: AccumT w m a -> w -> m (a, w)
 runAccumT (AccumT f) = f
 {-# INLINE runAccumT #-}
@@ -152,8 +169,8 @@
     return w'
 {-# INLINE execAccumT #-}
 
--- | Evaluate an accumulation computation with the given initial output history
--- and return the final value, discarding the final output.
+-- | Evaluate an accumulation computation with the given initial output
+-- history and return the final value, discarding the final output.
 --
 -- * @'evalAccumT' m w = 'liftM' 'fst' ('runAccumT' m w)@
 evalAccumT :: (Monad m, Monoid w) => AccumT w m a -> w -> m a
@@ -162,8 +179,8 @@
     return a
 {-# INLINE evalAccumT #-}
 
--- | Map both the return value and output of a computation using
--- the given function.
+-- | Map both the return value and output of a computation using the
+-- given function.
 --
 -- * @'runAccumT' ('mapAccumT' f m) = f . 'runAccumT' m@
 mapAccumT :: (m (a, w) -> n (b, w)) -> AccumT w m a -> AccumT w n b
diff --git a/Control/Monad/Trans/Class.hs b/Control/Monad/Trans/Class.hs
--- a/Control/Monad/Trans/Class.hs
+++ b/Control/Monad/Trans/Class.hs
@@ -87,15 +87,18 @@
     lift :: (Monad m) => m a -> t m a
 
 {- $conventions
-Most monad transformer modules include the special case of applying
-the transformer to 'Data.Functor.Identity.Identity'.  For example,
+All monad transformer modules except 'Control.Monad.Trans.Maybe'
+include the special case of applying the transformer
+to 'Data.Functor.Identity.Identity'.  For example,
 @'Control.Monad.Trans.State.Lazy.State' s@ is an abbreviation for
 @'Control.Monad.Trans.State.Lazy.StateT' s 'Data.Functor.Identity.Identity'@.
+As a consequence, operations defined on the monad transformer can also
+be used on this special case.
 
 Each monad transformer also comes with an operation @run@/XXX/@T@ to
 unwrap the transformer, exposing a computation of the inner monad.
-(Currently these functions are defined as field labels, but in the next
-major release they will be separate functions.)
+(Currently these functions are defined as field labels, but in a future
+major release they may be separate functions.)
 
 All of the monad transformers except 'Control.Monad.Trans.Cont.ContT'
 and 'Control.Monad.Trans.Cont.SelectT' are functors on the category
@@ -134,7 +137,7 @@
 >>> undefined >> print 2
 *** Exception: Prelude.undefined
 
-However the monads 'Data.Functor.Identity.Identity' and @(->) a@ are not:
+However, the monads 'Data.Functor.Identity.Identity' and @(->) a@ are not:
 
 >>> undefined >> Identity 2
 Identity 2
@@ -143,7 +146,7 @@
 
 In a strict monad you know when each action is executed, but the monad
 is not necessarily strict in the return value, or in other components
-of the monad, such as a state.  However you can use 'seq' to create
+of the monad, such as a state.  However, you can use 'seq' to create
 an action that is strict in the component you want evaluated.
 -}
 
diff --git a/Control/Monad/Trans/Reader.hs b/Control/Monad/Trans/Reader.hs
--- a/Control/Monad/Trans/Reader.hs
+++ b/Control/Monad/Trans/Reader.hs
@@ -75,8 +75,11 @@
 --
 -- Computations are functions of a shared environment.
 --
--- The 'return' function ignores the environment, while @>>=@ passes
--- the inherited environment to both subcomputations.
+-- The 'return' function ignores the environment, while @m '>>=' k@
+-- passes the inherited environment to both subcomputations:
+--
+-- <<images/bind-ReaderT.svg>>
+--
 type Reader r = ReaderT r Identity
 
 -- | Constructor for computations in the reader monad (equivalent to 'asks').
@@ -114,8 +117,11 @@
 -- | The reader monad transformer,
 -- which adds a read-only environment to the given monad.
 --
--- The 'return' function ignores the environment, while @>>=@ passes
--- the inherited environment to both subcomputations.
+-- The 'return' function ignores the environment, while @m '>>=' k@
+-- passes the inherited environment to both subcomputations:
+--
+-- <<images/bind-ReaderT.svg>>
+--
 newtype ReaderT r m a = ReaderT { runReaderT :: r -> m a }
 #if __GLASGOW_HASKELL__ >= 710
     deriving (Generic, Generic1)
diff --git a/Control/Monad/Trans/Writer/CPS.hs b/Control/Monad/Trans/Writer/CPS.hs
--- a/Control/Monad/Trans/Writer/CPS.hs
+++ b/Control/Monad/Trans/Writer/CPS.hs
@@ -76,8 +76,12 @@
 -- ---------------------------------------------------------------------------
 -- | A writer monad parameterized by the type @w@ of output to accumulate.
 --
--- The 'return' function produces the output 'mempty', while '>>='
--- combines the outputs of the subcomputations using 'mappend'.
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 type Writer w = WriterT w Identity
 
 -- | Construct a writer computation from a (result, output) pair.
@@ -116,9 +120,12 @@
 --
 --   * @m@ - The inner monad.
 --
--- The 'return' function produces the output 'mempty', while '>>='
--- combines the outputs of the subcomputations using 'mappend'.
-
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 newtype WriterT w m a = WriterT { unWriterT :: w -> m (a, w) }
 #if __GLASGOW_HASKELL__ >= 704
     deriving (Generic)
diff --git a/Control/Monad/Trans/Writer/Lazy.hs b/Control/Monad/Trans/Writer/Lazy.hs
--- a/Control/Monad/Trans/Writer/Lazy.hs
+++ b/Control/Monad/Trans/Writer/Lazy.hs
@@ -81,8 +81,12 @@
 -- ---------------------------------------------------------------------------
 -- | A writer monad parameterized by the type @w@ of output to accumulate.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 type Writer w = WriterT w Identity
 
 -- | Construct a writer computation from a (result, output) pair.
@@ -119,8 +123,12 @@
 --
 --   * @m@ - The inner monad.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 newtype WriterT w m a = WriterT { runWriterT :: m (a, w) }
 #if __GLASGOW_HASKELL__ >= 704
     deriving (Generic)
diff --git a/Control/Monad/Trans/Writer/Strict.hs b/Control/Monad/Trans/Writer/Strict.hs
--- a/Control/Monad/Trans/Writer/Strict.hs
+++ b/Control/Monad/Trans/Writer/Strict.hs
@@ -84,8 +84,12 @@
 -- ---------------------------------------------------------------------------
 -- | A writer monad parameterized by the type @w@ of output to accumulate.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 type Writer w = WriterT w Identity
 
 -- | Construct a writer computation from a (result, output) pair.
@@ -122,8 +126,12 @@
 --
 --   * @m@ - The inner monad.
 --
--- The 'return' function produces the output 'mempty', while @>>=@
--- combines the outputs of the subcomputations using 'mappend'.
+-- The 'return' function produces the output 'mempty', while @m '>>=' k@
+-- combines the outputs of the subcomputations using 'mappend' (also
+-- known as @<>@):
+--
+-- <<images/bind-WriterT.svg>>
+--
 newtype WriterT w m a = WriterT { runWriterT :: m (a, w) }
 #if __GLASGOW_HASKELL__ >= 704
     deriving (Generic)
diff --git a/changelog b/changelog
--- a/changelog
+++ b/changelog
@@ -1,5 +1,8 @@
 -*-change-log-*-
 
+0.6.1.1 Ross Paterson <R.Paterson@city.ac.uk> Aug 2023
+	* Additions to documentation, especially of AccumT.
+
 0.6.1.0 Ross Paterson <R.Paterson@city.ac.uk> Feb 2023
 	* Add instances of Foldable1 (class added to base-4.18)
 	* Add modifyM to StateT transformers
diff --git a/images/bind-AccumT.svg b/images/bind-AccumT.svg
new file mode 100644
--- /dev/null
+++ b/images/bind-AccumT.svg
@@ -0,0 +1,66 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<svg width="390" height="180"
+ xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+
+<defs>
+  <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <marker id="extra-arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path fill="#44f" d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <style type="text/css">
+    line.arrow {
+        fill: none; stroke: black; stroke-width: 4;
+        marker-end: url(#arrow);
+    }
+    circle.action {
+        fill: #f8ddbb; stroke: black; stroke-width: 4;
+    }
+    text.action {
+        fill: black; stroke: none;
+        font-family: sans-serif; font-size: 35px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+    .extra {
+        fill: none; stroke: #44f; stroke-width: 3;
+        marker-end: url(#extra-arrow);
+    }
+    circle.mappend {
+        fill: none; stroke: #44f; stroke-width: 3;
+    }
+    text.mappend {
+        fill: #44f; stroke: none;
+        font-family: sans-serif; font-size: 26px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+  </style>
+</defs>
+<g transform="scale(0.6) translate(50,50)">
+  <path class="extra" d="M 0,0 L 80,0 A 20 20 0 0 1 100,20 L 100,52"/>
+  <path class="extra" d="M 80,0 L 225,0"/>
+  <circle class="mappend" cx="250" cy="0" r="20"/>
+  <text class="mappend" x="250" y="0">&lt;&gt;</text>
+  <path class="extra" d="M 270,0 L 380,0 A 20 20 0 0 1 400,20 L 400,52"/>
+  <path class="extra" d="M 230,200 A 20 20 0 0 0 250,180 L 250,27"/>
+  <path class="extra" d="M 100,140 L 100,180 A 20 20 0 0 0 120,200 L 373,200"/>
+  <circle class="mappend" cx="400" cy="200" r="20"/>
+  <text class="mappend" x="400" y="200">&lt;&gt;</text>
+  <path class="extra" d="M 400,140 L 400,173"/>
+  <path class="extra" d="M 420,200 L 550,200"/>
+  <text class="mappend" x="15" y="-20">w</text>
+
+  <line class="arrow" x1="140" y1="100" x2="350" y2="100"/>
+  <line class="arrow" x1="440" y1="100" x2="550" y2="100"/>
+  <circle class="action" cx="100" cy="100" r="40"/>
+  <text class="action" x="100" y="100">m</text>
+  <circle class="action" cx="400" cy="100" r="40"/>
+  <text class="action" x="400" y="100">k</text>
+</g>
+</svg>
diff --git a/images/bind-ReaderT.svg b/images/bind-ReaderT.svg
new file mode 100644
--- /dev/null
+++ b/images/bind-ReaderT.svg
@@ -0,0 +1,57 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<svg width="390" height="150"
+ xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+
+<defs>
+  <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <marker id="extra-arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path fill="#44f" d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <style type="text/css">
+    line.arrow {
+        fill: none; stroke: black; stroke-width: 4;
+        marker-end: url(#arrow);
+    }
+    circle.action {
+        fill: #f8ddbb; stroke: black; stroke-width: 4;
+    }
+    text.action {
+        fill: black; stroke: none;
+        font-family: sans-serif; font-size: 35px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+    .extra {
+        fill: none; stroke: #44f; stroke-width: 3;
+        marker-end: url(#extra-arrow);
+    }
+    circle.mappend {
+        fill: none; stroke: #44f; stroke-width: 3;
+    }
+    text.mappend {
+        fill: #44f; stroke: none;
+        font-family: sans-serif; font-size: 26px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+  </style>
+</defs>
+<g transform="scale(0.6) translate(50,50)">
+  <path class="extra" d="M 0,0 L 80,0 A 20 20 0 0 1 100,20 L 100,52"/>
+  <path class="extra" d="M 80,0 L 380,0 A 20 20 0 0 1 400,20 L 400,52"/>
+  <text class="mappend" x="15" y="-20">r</text>
+
+  <line class="arrow" x1="140" y1="100" x2="350" y2="100"/>
+  <line class="arrow" x1="440" y1="100" x2="550" y2="100"/>
+  <circle class="action" cx="100" cy="100" r="40"/>
+  <text class="action" x="100" y="100">m</text>
+  <circle class="action" cx="400" cy="100" r="40"/>
+  <text class="action" x="400" y="100">k</text>
+</g>
+</svg>
diff --git a/images/bind-WriterT.svg b/images/bind-WriterT.svg
new file mode 100644
--- /dev/null
+++ b/images/bind-WriterT.svg
@@ -0,0 +1,60 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<svg width="360" height="150"
+ xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+
+<defs>
+  <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <marker id="extra-arrow" viewBox="0 0 10 10" refX="5" refY="5"
+        markerWidth="5" markerHeight="5"
+        orient="auto-start-reverse">
+      <path fill="#44f" d="M 0 0 L 10 5 L 0 10 z" />
+  </marker>
+  <style type="text/css">
+    line.arrow {
+        fill: none; stroke: black; stroke-width: 4;
+        marker-end: url(#arrow);
+    }
+    circle.action {
+        fill: #f8ddbb; stroke: black; stroke-width: 4;
+    }
+    text.action {
+        fill: black; stroke: none;
+        font-family: sans-serif; font-size: 35px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+    .extra {
+        fill: none; stroke: #44f; stroke-width: 3;
+        marker-end: url(#extra-arrow);
+    }
+    circle.mappend {
+        fill: none; stroke: #44f; stroke-width: 3;
+    }
+    text.mappend {
+        fill: #44f; stroke: none;
+        font-family: sans-serif; font-size: 26px;
+        dominant-baseline: central; text-anchor: middle;
+    }
+  </style>
+</defs>
+<g transform="scale(0.6)">
+  <path class="extra" d="M 100,140 L 100,180 A 20 20 0 0 0 120,200 L 373,200"/>
+  <circle class="mappend" cx="400" cy="200" r="20"/>
+  <text class="mappend" x="400" y="200">&lt;&gt;</text>
+  <path class="extra" d="M 400,140 L 400,173"/>
+  <path class="extra" d="M 420,200 L 550,200"/>
+  <text class="mappend" x="520" y="180">w</text>
+
+  <line class="arrow" x1="140" y1="100" x2="350" y2="100"/>
+  <line class="arrow" x1="440" y1="100" x2="550" y2="100"/>
+  <circle class="action" cx="100" cy="100" r="40"/>
+  <text class="action" x="100" y="100">m</text>
+  <circle class="action" cx="400" cy="100" r="40"/>
+  <text class="action" x="400" y="100">k</text>
+</g>
+</svg>
diff --git a/transformers.cabal b/transformers.cabal
--- a/transformers.cabal
+++ b/transformers.cabal
@@ -1,5 +1,5 @@
 name:         transformers
-version:      0.6.1.0
+version:      0.6.1.1
 license:      BSD3
 license-file: LICENSE
 author:       Andy Gill, Ross Paterson
@@ -31,9 +31,13 @@
     the @mtl@ or @monads-tf@ packages, which automatically lift operations
     introduced by monad transformers through other transformers.
 build-type: Simple
+extra-doc-files:
+    images/bind-AccumT.svg
+    images/bind-ReaderT.svg
+    images/bind-WriterT.svg
 extra-source-files:
     changelog
-cabal-version: >= 1.10
+cabal-version: 1.18
 
 source-repository head
   type: darcs
