</sect1>
<sect1 id="command_unification_hint">
<title>unification hint</title>
- <para>TODO</para>
- <!--
- <para><userinput>coercion u with ariety saturation nocomposites</userinput></para>
+ <para><userinput>unification hint n ≔ v1 : T1,… vi : Ti; h1 ≟ t1, … hn ≟ tn ⊢ tl ≡ tr.</userinput></para>
<para>
<variablelist>
<varlistentry>
<term>Synopsis:</term>
<listitem>
<para>
- <emphasis role="bold">coercion</emphasis>
- (&uri; | &term; <emphasis role="bold">with</emphasis>)
- [ &nat; [&nat;]]
- [ <emphasis role="bold">nocomposites</emphasis> ]
+ <emphasis role="bold">unification hint</emphasis>
+ &nat;
+ <emphasis role="bold">≔</emphasis>
+ [ &id; [ <emphasis role="bold">:</emphasis> &term; ] ,.. ]
+ <emphasis role="bold">;</emphasis>
+ [ &id; <emphasis role="bold">≟</emphasis> &term; ,.. ]
+ <emphasis role="bold">⊢</emphasis>
+ &term; <emphasis role="bold">≡</emphasis> &term;
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>Declares <command>u</command> as an implicit coercion.
- If the type of <command>u</command> is
- <command>∀x1:T1. … ∀x(n-1):T(n-1).Tn</command> the coercion target is
- <command>T(n - ariety)</command> while its source is
- <command>T(n - ariety - saturation - 1)</command>.
- Every time a term <command>x</command>
- of type source is used with expected type target, Matita
- automatically replaces <command>x</command> with
- <command>(u ? … ? x ? … ?)</command> to avoid a typing error.</para>
- Note that the number of <command>?</command> added after
- <command>x</command> is saturation.
- <para>Implicit coercions are not displayed to the user:
- <command>(u ? … ? x)</command> is rendered simply
- as <command>x</command>.</para>
- <para>When a coercion <command>u</command> is declared
- from source <command>s</command> to target <command>t</command>
- and there is already a coercion <command>u'</command> of
- target <command>s</command> or source <command>t</command>,
- a composite implicit coercion is automatically computed
- by Matita unless <emphasis role="bold">nocomposites</emphasis>
- is specified.</para>
+ <para>Declares the hint at precedence <command>n</command></para>
+ <para>The file <command>hints_declaration.ma</command> must be
+ included to declare hints with that syntax.</para>
+ <para>Unification hints are described in the paper
+ "Hints in unification" by
+ Asperti, Ricciotti, Sacerdoti and Tassi.
+ </para>
</listitem>
</varlistentry>
</variablelist>