+</sect2>
+
+<sect2 id="postfix-operators">
+<title>Postfix operators</title>
+
+<para>
+ The <option>-XPostfixOperators</option> flag enables a small
+extension to the syntax of left operator sections, which allows you to
+define postfix operators. The extension is this: the left section
+<programlisting>
+ (e !)
+</programlisting>
+is equivalent (from the point of view of both type checking and execution) to the expression
+<programlisting>
+ ((!) e)
+</programlisting>
+(for any expression <literal>e</literal> and operator <literal>(!)</literal>.
+The strict Haskell 98 interpretation is that the section is equivalent to
+<programlisting>
+ (\y -> (!) e y)
+</programlisting>
+That is, the operator must be a function of two arguments. GHC allows it to
+take only one argument, and that in turn allows you to write the function
+postfix.
+</para>
+<para>The extension does not extend to the left-hand side of function
+definitions; you must define such a function in prefix form.</para>
+
+</sect2>
+
+<sect2 id="tuple-sections">
+<title>Tuple sections</title>
+
+<para>
+ The <option>-XTupleSections</option> flag enables Python-style partially applied
+ tuple constructors. For example, the following program
+<programlisting>
+ (, True)
+</programlisting>
+ is considered to be an alternative notation for the more unwieldy alternative
+<programlisting>
+ \x -> (x, True)
+</programlisting>
+You can omit any combination of arguments to the tuple, as in the following
+<programlisting>
+ (, "I", , , "Love", , 1337)
+</programlisting>
+which translates to
+<programlisting>
+ \a b c d -> (a, "I", b, c, "Love", d, 1337)
+</programlisting>
+</para>
+
+<para>
+ If you have <link linkend="unboxed-tuples">unboxed tuples</link> enabled, tuple sections
+ will also be available for them, like so
+<programlisting>
+ (# , True #)
+</programlisting>
+Because there is no unboxed unit tuple, the following expression
+<programlisting>
+ (# #)
+</programlisting>
+continues to stand for the unboxed singleton tuple data constructor.
+</para>
+
+</sect2>
+
+<sect2 id="disambiguate-fields">
+<title>Record field disambiguation</title>
+<para>
+In record construction and record pattern matching
+it is entirely unambiguous which field is referred to, even if there are two different
+data types in scope with a common field name. For example:
+<programlisting>
+module M where
+ data S = MkS { x :: Int, y :: Bool }
+
+module Foo where
+ import M
+
+ data T = MkT { x :: Int }
+
+ ok1 (MkS { x = n }) = n+1 -- Unambiguous
+ ok2 n = MkT { x = n+1 } -- Unambiguous
+
+ bad1 k = k { x = 3 } -- Ambiguous
+ bad2 k = x k -- Ambiguous
+</programlisting>
+Even though there are two <literal>x</literal>'s in scope,
+it is clear that the <literal>x</literal> in the pattern in the
+definition of <literal>ok1</literal> can only mean the field
+<literal>x</literal> from type <literal>S</literal>. Similarly for
+the function <literal>ok2</literal>. However, in the record update
+in <literal>bad1</literal> and the record selection in <literal>bad2</literal>
+it is not clear which of the two types is intended.
+</para>
+<para>
+Haskell 98 regards all four as ambiguous, but with the
+<option>-XDisambiguateRecordFields</option> flag, GHC will accept
+the former two. The rules are precisely the same as those for instance
+declarations in Haskell 98, where the method names on the left-hand side
+of the method bindings in an instance declaration refer unambiguously
+to the method of that class (provided they are in scope at all), even
+if there are other variables in scope with the same name.
+This reduces the clutter of qualified names when you import two
+records from different modules that use the same field name.
+</para>
+<para>
+Some details:
+<itemizedlist>
+<listitem><para>
+Field disambiguation can be combined with punning (see <xref linkend="record-puns"/>). For exampe:
+<programlisting>
+module Foo where
+ import M
+ x=True
+ ok3 (MkS { x }) = x+1 -- Uses both disambiguation and punning
+</programlisting>
+</para></listitem>
+
+<listitem><para>
+With <option>-XDisambiguateRecordFields</option> you can use <emphasis>unqualifed</emphasis>
+field names even if the correponding selector is only in scope <emphasis>qualified</emphasis>
+For example, assuming the same module <literal>M</literal> as in our earlier example, this is legal:
+<programlisting>
+module Foo where
+ import qualified M -- Note qualified
+
+ ok4 (M.MkS { x = n }) = n+1 -- Unambiguous
+</programlisting>
+Since the constructore <literal>MkS</literal> is only in scope qualified, you must
+name it <literal>M.MkS</literal>, but the field <literal>x</literal> does not need
+to be qualified even though <literal>M.x</literal> is in scope but <literal>x</literal>
+is not. (In effect, it is qualified by the constructor.)
+</para></listitem>
+</itemizedlist>
+</para>
+
+</sect2>
+
+ <!-- ===================== Record puns =================== -->
+
+<sect2 id="record-puns">
+<title>Record puns
+</title>
+
+<para>
+Record puns are enabled by the flag <literal>-XNamedFieldPuns</literal>.
+</para>
+
+<para>
+When using records, it is common to write a pattern that binds a
+variable with the same name as a record field, such as:
+
+<programlisting>
+data C = C {a :: Int}
+f (C {a = a}) = a
+</programlisting>
+</para>
+
+<para>
+Record punning permits the variable name to be elided, so one can simply
+write
+
+<programlisting>
+f (C {a}) = a
+</programlisting>
+
+to mean the same pattern as above. That is, in a record pattern, the
+pattern <literal>a</literal> expands into the pattern <literal>a =
+a</literal> for the same name <literal>a</literal>.
+</para>
+
+<para>
+Note that:
+<itemizedlist>
+<listitem><para>
+Record punning can also be used in an expression, writing, for example,
+<programlisting>
+let a = 1 in C {a}
+</programlisting>
+instead of
+<programlisting>
+let a = 1 in C {a = a}
+</programlisting>
+The expansion is purely syntactic, so the expanded right-hand side
+expression refers to the nearest enclosing variable that is spelled the
+same as the field name.
+</para></listitem>
+
+<listitem><para>
+Puns and other patterns can be mixed in the same record:
+<programlisting>
+data C = C {a :: Int, b :: Int}
+f (C {a, b = 4}) = a
+</programlisting>
+</para></listitem>
+
+<listitem><para>
+Puns can be used wherever record patterns occur (e.g. in
+<literal>let</literal> bindings or at the top-level).
+</para></listitem>
+
+<listitem><para>
+A pun on a qualified field name is expanded by stripping off the module qualifier.
+For example:
+<programlisting>
+f (C {M.a}) = a
+</programlisting>
+means
+<programlisting>
+f (M.C {M.a = a}) = a
+</programlisting>
+(This is useful if the field selector <literal>a</literal> for constructor <literal>M.C</literal>
+is only in scope in qualified form.)
+</para></listitem>
+</itemizedlist>
+</para>
+
+
+</sect2>
+
+ <!-- ===================== Record wildcards =================== -->
+
+<sect2 id="record-wildcards">
+<title>Record wildcards
+</title>
+
+<para>
+Record wildcards are enabled by the flag <literal>-XRecordWildCards</literal>.
+This flag implies <literal>-XDisambiguateRecordFields</literal>.
+</para>
+
+<para>
+For records with many fields, it can be tiresome to write out each field
+individually in a record pattern, as in
+<programlisting>
+data C = C {a :: Int, b :: Int, c :: Int, d :: Int}
+f (C {a = 1, b = b, c = c, d = d}) = b + c + d
+</programlisting>
+</para>
+
+<para>
+Record wildcard syntax permits a "<literal>..</literal>" in a record
+pattern, where each elided field <literal>f</literal> is replaced by the
+pattern <literal>f = f</literal>. For example, the above pattern can be
+written as
+<programlisting>
+f (C {a = 1, ..}) = b + c + d
+</programlisting>
+</para>
+
+<para>
+More details:
+<itemizedlist>
+<listitem><para>
+Wildcards can be mixed with other patterns, including puns
+(<xref linkend="record-puns"/>); for example, in a pattern <literal>C {a
+= 1, b, ..})</literal>. Additionally, record wildcards can be used
+wherever record patterns occur, including in <literal>let</literal>
+bindings and at the top-level. For example, the top-level binding
+<programlisting>
+C {a = 1, ..} = e
+</programlisting>
+defines <literal>b</literal>, <literal>c</literal>, and
+<literal>d</literal>.
+</para></listitem>
+
+<listitem><para>
+Record wildcards can also be used in expressions, writing, for example,
+<programlisting>
+let {a = 1; b = 2; c = 3; d = 4} in C {..}
+</programlisting>
+in place of
+<programlisting>
+let {a = 1; b = 2; c = 3; d = 4} in C {a=a, b=b, c=c, d=d}
+</programlisting>
+The expansion is purely syntactic, so the record wildcard
+expression refers to the nearest enclosing variables that are spelled
+the same as the omitted field names.
+</para></listitem>
+
+<listitem><para>
+The "<literal>..</literal>" expands to the missing
+<emphasis>in-scope</emphasis> record fields, where "in scope"
+includes both unqualified and qualified-only.
+Any fields that are not in scope are not filled in. For example
+<programlisting>
+module M where
+ data R = R { a,b,c :: Int }
+module X where
+ import qualified M( R(a,b) )
+ f a b = R { .. }
+</programlisting>
+The <literal>{..}</literal> expands to <literal>{M.a=a,M.b=b}</literal>,
+omitting <literal>c</literal> since it is not in scope at all.
+</para></listitem>
+</itemizedlist>
+</para>
+
+</sect2>
+
+ <!-- ===================== Local fixity declarations =================== -->
+
+<sect2 id="local-fixity-declarations">
+<title>Local Fixity Declarations
+</title>
+
+<para>A careful reading of the Haskell 98 Report reveals that fixity
+declarations (<literal>infix</literal>, <literal>infixl</literal>, and
+<literal>infixr</literal>) are permitted to appear inside local bindings
+such those introduced by <literal>let</literal> and
+<literal>where</literal>. However, the Haskell Report does not specify
+the semantics of such bindings very precisely.
+</para>
+
+<para>In GHC, a fixity declaration may accompany a local binding:
+<programlisting>
+let f = ...
+ infixr 3 `f`
+in
+ ...
+</programlisting>
+and the fixity declaration applies wherever the binding is in scope.
+For example, in a <literal>let</literal>, it applies in the right-hand
+sides of other <literal>let</literal>-bindings and the body of the
+<literal>let</literal>C. Or, in recursive <literal>do</literal>
+expressions (<xref linkend="recursive-do-notation"/>), the local fixity
+declarations of a <literal>let</literal> statement scope over other
+statements in the group, just as the bound name does.
+</para>
+
+<para>
+Moreover, a local fixity declaration *must* accompany a local binding of
+that name: it is not possible to revise the fixity of name bound
+elsewhere, as in
+<programlisting>
+let infixr 9 $ in ...
+</programlisting>
+
+Because local fixity declarations are technically Haskell 98, no flag is
+necessary to enable them.
+</para>
+</sect2>
+
+<sect2 id="package-imports">
+ <title>Package-qualified imports</title>
+
+ <para>With the <option>-XPackageImports</option> flag, GHC allows
+ import declarations to be qualified by the package name that the
+ module is intended to be imported from. For example:</para>
+
+<programlisting>
+import "network" Network.Socket
+</programlisting>
+
+ <para>would import the module <literal>Network.Socket</literal> from
+ the package <literal>network</literal> (any version). This may
+ be used to disambiguate an import when the same module is
+ available from multiple packages, or is present in both the
+ current package being built and an external package.</para>
+
+ <para>Note: you probably don't need to use this feature, it was
+ added mainly so that we can build backwards-compatible versions of
+ packages when APIs change. It can lead to fragile dependencies in
+ the common case: modules occasionally move from one package to
+ another, rendering any package-qualified imports broken.</para>
+</sect2>
+
+<sect2 id="syntax-stolen">
+<title>Summary of stolen syntax</title>
+
+ <para>Turning on an option that enables special syntax
+ <emphasis>might</emphasis> cause working Haskell 98 code to fail
+ to compile, perhaps because it uses a variable name which has
+ become a reserved word. This section lists the syntax that is
+ "stolen" by language extensions.
+ We use
+ notation and nonterminal names from the Haskell 98 lexical syntax
+ (see the Haskell 98 Report).
+ We only list syntax changes here that might affect
+ existing working programs (i.e. "stolen" syntax). Many of these
+ extensions will also enable new context-free syntax, but in all
+ cases programs written to use the new syntax would not be
+ compilable without the option enabled.</para>
+
+<para>There are two classes of special
+ syntax:
+
+ <itemizedlist>
+ <listitem>
+ <para>New reserved words and symbols: character sequences
+ which are no longer available for use as identifiers in the
+ program.</para>
+ </listitem>
+ <listitem>
+ <para>Other special syntax: sequences of characters that have
+ a different meaning when this particular option is turned
+ on.</para>
+ </listitem>
+ </itemizedlist>
+
+The following syntax is stolen:
+
+ <variablelist>
+ <varlistentry>
+ <term>
+ <literal>forall</literal>
+ <indexterm><primary><literal>forall</literal></primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen (in types) by: <option>-XExplicitForAll</option>, and hence by
+ <option>-XScopedTypeVariables</option>,
+ <option>-XLiberalTypeSynonyms</option>,
+ <option>-XRank2Types</option>,
+ <option>-XRankNTypes</option>,
+ <option>-XPolymorphicComponents</option>,
+ <option>-XExistentialQuantification</option>
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>mdo</literal>
+ <indexterm><primary><literal>mdo</literal></primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XRecursiveDo</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>foreign</literal>
+ <indexterm><primary><literal>foreign</literal></primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XForeignFunctionInterface</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>rec</literal>,
+ <literal>proc</literal>, <literal>-<</literal>,
+ <literal>>-</literal>, <literal>-<<</literal>,
+ <literal>>>-</literal>, and <literal>(|</literal>,
+ <literal>|)</literal> brackets
+ <indexterm><primary><literal>proc</literal></primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XArrows</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>?<replaceable>varid</replaceable></literal>,
+ <literal>%<replaceable>varid</replaceable></literal>
+ <indexterm><primary>implicit parameters</primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XImplicitParams</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>[|</literal>,
+ <literal>[e|</literal>, <literal>[p|</literal>,
+ <literal>[d|</literal>, <literal>[t|</literal>,
+ <literal>$(</literal>,
+ <literal>$<replaceable>varid</replaceable></literal>
+ <indexterm><primary>Template Haskell</primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XTemplateHaskell</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <literal>[:<replaceable>varid</replaceable>|</literal>
+ <indexterm><primary>quasi-quotation</primary></indexterm>
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XQuasiQuotes</option>,
+ </para></listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term>
+ <replaceable>varid</replaceable>{<literal>#</literal>},
+ <replaceable>char</replaceable><literal>#</literal>,
+ <replaceable>string</replaceable><literal>#</literal>,
+ <replaceable>integer</replaceable><literal>#</literal>,
+ <replaceable>float</replaceable><literal>#</literal>,
+ <replaceable>float</replaceable><literal>##</literal>,
+ <literal>(#</literal>, <literal>#)</literal>,
+ </term>
+ <listitem><para>
+ Stolen by: <option>-XMagicHash</option>,
+ </para></listitem>
+ </varlistentry>
+ </variablelist>
+</para>
+</sect2>
+</sect1>
+
+
+<!-- TYPE SYSTEM EXTENSIONS -->
+<sect1 id="data-type-extensions">
+<title>Extensions to data types and type synonyms</title>
+
+<sect2 id="nullary-types">
+<title>Data types with no constructors</title>
+
+<para>With the <option>-fglasgow-exts</option> flag, GHC lets you declare
+a data type with no constructors. For example:</para>
+
+<programlisting>
+ data S -- S :: *
+ data T a -- T :: * -> *
+</programlisting>
+
+<para>Syntactically, the declaration lacks the "= constrs" part. The
+type can be parameterised over types of any kind, but if the kind is
+not <literal>*</literal> then an explicit kind annotation must be used
+(see <xref linkend="kinding"/>).</para>
+
+<para>Such data types have only one value, namely bottom.
+Nevertheless, they can be useful when defining "phantom types".</para>
+</sect2>
+
+<sect2 id="datatype-contexts">
+<title>Data type contexts</title>
+
+<para>Haskell allows datatypes to be given contexts, e.g.</para>
+
+<programlisting>
+data Eq a => Set a = NilSet | ConsSet a (Set a)
+</programlisting>
+
+<para>give constructors with types:</para>
+
+<programlisting>
+NilSet :: Set a
+ConsSet :: Eq a => a -> Set a -> Set a
+</programlisting>
+
+<para>In GHC this feature is an extension called
+<literal>DatatypeContexts</literal>, and on by default.</para>
+</sect2>
+
+<sect2 id="infix-tycons">
+<title>Infix type constructors, classes, and type variables</title>
+
+<para>
+GHC allows type constructors, classes, and type variables to be operators, and
+to be written infix, very much like expressions. More specifically:
+<itemizedlist>
+<listitem><para>
+ A type constructor or class can be an operator, beginning with a colon; e.g. <literal>:*:</literal>.
+ The lexical syntax is the same as that for data constructors.
+ </para></listitem>
+<listitem><para>
+ Data type and type-synonym declarations can be written infix, parenthesised
+ if you want further arguments. E.g.
+<screen>
+ data a :*: b = Foo a b
+ type a :+: b = Either a b
+ class a :=: b where ...
+
+ data (a :**: b) x = Baz a b x
+ type (a :++: b) y = Either (a,b) y
+</screen>
+ </para></listitem>
+<listitem><para>
+ Types, and class constraints, can be written infix. For example
+ <screen>
+ x :: Int :*: Bool
+ f :: (a :=: b) => a -> b
+ </screen>
+ </para></listitem>
+<listitem><para>
+ A type variable can be an (unqualified) operator e.g. <literal>+</literal>.
+ The lexical syntax is the same as that for variable operators, excluding "(.)",
+ "(!)", and "(*)". In a binding position, the operator must be
+ parenthesised. For example:
+<programlisting>
+ type T (+) = Int + Int
+ f :: T Either
+ f = Left 3
+
+ liftA2 :: Arrow (~>)
+ => (a -> b -> c) -> (e ~> a) -> (e ~> b) -> (e ~> c)
+ liftA2 = ...
+</programlisting>
+ </para></listitem>
+<listitem><para>
+ Back-quotes work
+ as for expressions, both for type constructors and type variables; e.g. <literal>Int `Either` Bool</literal>, or
+ <literal>Int `a` Bool</literal>. Similarly, parentheses work the same; e.g. <literal>(:*:) Int Bool</literal>.
+ </para></listitem>
+<listitem><para>
+ Fixities may be declared for type constructors, or classes, just as for data constructors. However,
+ one cannot distinguish between the two in a fixity declaration; a fixity declaration
+ sets the fixity for a data constructor and the corresponding type constructor. For example:
+<screen>
+ infixl 7 T, :*:
+</screen>
+ sets the fixity for both type constructor <literal>T</literal> and data constructor <literal>T</literal>,
+ and similarly for <literal>:*:</literal>.
+ <literal>Int `a` Bool</literal>.
+ </para></listitem>
+<listitem><para>
+ Function arrow is <literal>infixr</literal> with fixity 0. (This might change; I'm not sure what it should be.)
+ </para></listitem>
+
+</itemizedlist>
+</para>
+</sect2>
+
+<sect2 id="type-synonyms">
+<title>Liberalised type synonyms</title>
+
+<para>
+Type synonyms are like macros at the type level, but Haskell 98 imposes many rules
+on individual synonym declarations.
+With the <option>-XLiberalTypeSynonyms</option> extension,
+GHC does validity checking on types <emphasis>only after expanding type synonyms</emphasis>.
+That means that GHC can be very much more liberal about type synonyms than Haskell 98.
+
+<itemizedlist>
+<listitem> <para>You can write a <literal>forall</literal> (including overloading)
+in a type synonym, thus:
+<programlisting>
+ type Discard a = forall b. Show b => a -> b -> (a, String)
+
+ f :: Discard a
+ f x y = (x, show y)
+
+ g :: Discard Int -> (Int,String) -- A rank-2 type
+ g f = f 3 True
+</programlisting>
+</para>
+</listitem>
+
+<listitem><para>
+If you also use <option>-XUnboxedTuples</option>,
+you can write an unboxed tuple in a type synonym:
+<programlisting>
+ type Pr = (# Int, Int #)
+
+ h :: Int -> Pr
+ h x = (# x, x #)
+</programlisting>
+</para></listitem>
+
+<listitem><para>
+You can apply a type synonym to a forall type:
+<programlisting>
+ type Foo a = a -> a -> Bool
+
+ f :: Foo (forall b. b->b)
+</programlisting>
+After expanding the synonym, <literal>f</literal> has the legal (in GHC) type:
+<programlisting>
+ f :: (forall b. b->b) -> (forall b. b->b) -> Bool
+</programlisting>
+</para></listitem>
+
+<listitem><para>
+You can apply a type synonym to a partially applied type synonym:
+<programlisting>
+ type Generic i o = forall x. i x -> o x
+ type Id x = x
+
+ foo :: Generic Id []
+</programlisting>
+After expanding the synonym, <literal>foo</literal> has the legal (in GHC) type:
+<programlisting>
+ foo :: forall x. x -> [x]
+</programlisting>
+</para></listitem>
+
+</itemizedlist>
+</para>
+
+<para>
+GHC currently does kind checking before expanding synonyms (though even that
+could be changed.)
+</para>
+<para>
+After expanding type synonyms, GHC does validity checking on types, looking for
+the following mal-formedness which isn't detected simply by kind checking:
+<itemizedlist>
+<listitem><para>
+Type constructor applied to a type involving for-alls.
+</para></listitem>
+<listitem><para>
+Unboxed tuple on left of an arrow.
+</para></listitem>
+<listitem><para>
+Partially-applied type synonym.
+</para></listitem>
+</itemizedlist>
+So, for example,
+this will be rejected:
+<programlisting>
+ type Pr = (# Int, Int #)
+
+ h :: Pr -> Int
+ h x = ...
+</programlisting>
+because GHC does not allow unboxed tuples on the left of a function arrow.
+</para>
+</sect2>
+
+
+<sect2 id="existential-quantification">
+<title>Existentially quantified data constructors
+</title>
+
+<para>
+The idea of using existential quantification in data type declarations
+was suggested by Perry, and implemented in Hope+ (Nigel Perry, <emphasis>The Implementation
+of Practical Functional Programming Languages</emphasis>, PhD Thesis, University of
+London, 1991). It was later formalised by Laufer and Odersky
+(<emphasis>Polymorphic type inference and abstract data types</emphasis>,
+TOPLAS, 16(5), pp1411-1430, 1994).
+It's been in Lennart
+Augustsson's <command>hbc</command> Haskell compiler for several years, and
+proved very useful. Here's the idea. Consider the declaration:
+</para>
+
+<para>
+
+<programlisting>
+ data Foo = forall a. MkFoo a (a -> Bool)
+ | Nil
+</programlisting>
+
+</para>
+
+<para>
+The data type <literal>Foo</literal> has two constructors with types:
+</para>
+
+<para>
+
+<programlisting>
+ MkFoo :: forall a. a -> (a -> Bool) -> Foo
+ Nil :: Foo
+</programlisting>
+
+</para>
+
+<para>
+Notice that the type variable <literal>a</literal> in the type of <function>MkFoo</function>
+does not appear in the data type itself, which is plain <literal>Foo</literal>.
+For example, the following expression is fine:
+</para>
+
+<para>
+
+<programlisting>
+ [MkFoo 3 even, MkFoo 'c' isUpper] :: [Foo]
+</programlisting>
+
+</para>
+
+<para>
+Here, <literal>(MkFoo 3 even)</literal> packages an integer with a function
+<function>even</function> that maps an integer to <literal>Bool</literal>; and <function>MkFoo 'c'
+isUpper</function> packages a character with a compatible function. These
+two things are each of type <literal>Foo</literal> and can be put in a list.
+</para>
+
+<para>
+What can we do with a value of type <literal>Foo</literal>?. In particular,
+what happens when we pattern-match on <function>MkFoo</function>?
+</para>
+
+<para>
+
+<programlisting>
+ f (MkFoo val fn) = ???
+</programlisting>
+
+</para>
+
+<para>
+Since all we know about <literal>val</literal> and <function>fn</function> is that they
+are compatible, the only (useful) thing we can do with them is to
+apply <function>fn</function> to <literal>val</literal> to get a boolean. For example:
+</para>
+
+<para>
+
+<programlisting>
+ f :: Foo -> Bool
+ f (MkFoo val fn) = fn val
+</programlisting>
+
+</para>
+
+<para>
+What this allows us to do is to package heterogeneous values
+together with a bunch of functions that manipulate them, and then treat
+that collection of packages in a uniform manner. You can express
+quite a bit of object-oriented-like programming this way.
+</para>
+
+<sect3 id="existential">
+<title>Why existential?
+</title>
+
+<para>
+What has this to do with <emphasis>existential</emphasis> quantification?
+Simply that <function>MkFoo</function> has the (nearly) isomorphic type
+</para>
+
+<para>
+
+<programlisting>
+ MkFoo :: (exists a . (a, a -> Bool)) -> Foo
+</programlisting>
+
+</para>
+
+<para>
+But Haskell programmers can safely think of the ordinary
+<emphasis>universally</emphasis> quantified type given above, thereby avoiding
+adding a new existential quantification construct.
+</para>
+
+</sect3>
+
+<sect3 id="existential-with-context">
+<title>Existentials and type classes</title>
+
+<para>
+An easy extension is to allow
+arbitrary contexts before the constructor. For example:
+</para>
+
+<para>
+
+<programlisting>
+data Baz = forall a. Eq a => Baz1 a a
+ | forall b. Show b => Baz2 b (b -> b)
+</programlisting>
+
+</para>
+
+<para>
+The two constructors have the types you'd expect:
+</para>
+
+<para>
+
+<programlisting>
+Baz1 :: forall a. Eq a => a -> a -> Baz
+Baz2 :: forall b. Show b => b -> (b -> b) -> Baz
+</programlisting>
+
+</para>
+
+<para>
+But when pattern matching on <function>Baz1</function> the matched values can be compared
+for equality, and when pattern matching on <function>Baz2</function> the first matched
+value can be converted to a string (as well as applying the function to it).
+So this program is legal:
+</para>
+
+<para>
+
+<programlisting>
+ f :: Baz -> String
+ f (Baz1 p q) | p == q = "Yes"
+ | otherwise = "No"
+ f (Baz2 v fn) = show (fn v)
+</programlisting>
+
+</para>
+
+<para>
+Operationally, in a dictionary-passing implementation, the
+constructors <function>Baz1</function> and <function>Baz2</function> must store the
+dictionaries for <literal>Eq</literal> and <literal>Show</literal> respectively, and
+extract it on pattern matching.
+</para>
+
+</sect3>
+
+<sect3 id="existential-records">
+<title>Record Constructors</title>
+
+<para>
+GHC allows existentials to be used with records syntax as well. For example:
+
+<programlisting>
+data Counter a = forall self. NewCounter
+ { _this :: self
+ , _inc :: self -> self
+ , _display :: self -> IO ()
+ , tag :: a
+ }
+</programlisting>
+Here <literal>tag</literal> is a public field, with a well-typed selector
+function <literal>tag :: Counter a -> a</literal>. The <literal>self</literal>
+type is hidden from the outside; any attempt to apply <literal>_this</literal>,
+<literal>_inc</literal> or <literal>_display</literal> as functions will raise a
+compile-time error. In other words, <emphasis>GHC defines a record selector function
+only for fields whose type does not mention the existentially-quantified variables</emphasis>.
+(This example used an underscore in the fields for which record selectors
+will not be defined, but that is only programming style; GHC ignores them.)
+</para>
+
+<para>
+To make use of these hidden fields, we need to create some helper functions:
+
+<programlisting>
+inc :: Counter a -> Counter a
+inc (NewCounter x i d t) = NewCounter
+ { _this = i x, _inc = i, _display = d, tag = t }
+
+display :: Counter a -> IO ()
+display NewCounter{ _this = x, _display = d } = d x
+</programlisting>
+
+Now we can define counters with different underlying implementations:
+
+<programlisting>
+counterA :: Counter String
+counterA = NewCounter
+ { _this = 0, _inc = (1+), _display = print, tag = "A" }
+
+counterB :: Counter String
+counterB = NewCounter
+ { _this = "", _inc = ('#':), _display = putStrLn, tag = "B" }
+
+main = do
+ display (inc counterA) -- prints "1"
+ display (inc (inc counterB)) -- prints "##"
+</programlisting>
+
+Record update syntax is supported for existentials (and GADTs):
+<programlisting>
+setTag :: Counter a -> a -> Counter a
+setTag obj t = obj{ tag = t }
+</programlisting>
+The rule for record update is this: <emphasis>
+the types of the updated fields may
+mention only the universally-quantified type variables
+of the data constructor. For GADTs, the field may mention only types
+that appear as a simple type-variable argument in the constructor's result
+type</emphasis>. For example:
+<programlisting>
+data T a b where { T1 { f1::a, f2::b, f3::(b,c) } :: T a b } -- c is existential
+upd1 t x = t { f1=x } -- OK: upd1 :: T a b -> a' -> T a' b
+upd2 t x = t { f3=x } -- BAD (f3's type mentions c, which is
+ -- existentially quantified)
+
+data G a b where { G1 { g1::a, g2::c } :: G a [c] }
+upd3 g x = g { g1=x } -- OK: upd3 :: G a b -> c -> G c b
+upd4 g x = g { g2=x } -- BAD (f2's type mentions c, which is not a simple
+ -- type-variable argument in G1's result type)
+</programlisting>
+</para>
+
+</sect3>
+
+
+<sect3>
+<title>Restrictions</title>
+
+<para>
+There are several restrictions on the ways in which existentially-quantified
+constructors can be use.
+</para>
+
+<para>