<sect1 id="tac_applyS">
<title>applyS</title>
<titleabbrev>applyS</titleabbrev>
- <para><userinput>applyS t</userinput></para>
+ <para><userinput>applyS t auto_params</userinput></para>
<para>
<variablelist>
<varlistentry role="tactic.synopsis">
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">applyS</emphasis> &sterm;</para>
+ <para><emphasis role="bold">applyS</emphasis> &sterm; &autoparams;</para>
</listitem>
</varlistentry>
<varlistentry>
Then it closes the current sequent by applying
<command>t</command> to <command>n</command>
implicit arguments (that become new sequents).
+ The <command>auto_params</command> parameters are passed
+ directly to <command>auto paramodulation</command>.
</para>
</listitem>
</varlistentry>
<sect1 id="tac_auto">
<title>auto</title>
<titleabbrev>auto</titleabbrev>
- <para><userinput>auto depth=d width=w paramodulation full</userinput></para>
+ <para><userinput>auto params</userinput></para>
<para>
<variablelist>
<varlistentry role="tactic.synopsis">
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">auto</emphasis> [<emphasis role="bold">depth=</emphasis>&nat;] [<emphasis role="bold">width=</emphasis>&nat;] [<emphasis role="bold">paramodulation</emphasis>] [<emphasis role="bold">full</emphasis>]</para>
+ <para><emphasis role="bold">auto</emphasis> &autoparams;</para>
</listitem>
</varlistentry>
<varlistentry>
<listitem>
<para>None, but the tactic may fail finding a proof if every
proof is in the search space that is pruned away. Pruning is
- controlled by <command>d</command> and <command>w</command>.
+ controlled by the optional <command>params</command>.
Moreover, only lemmas whose type signature is a subset of the
signature of the current sequent are considered. The signature of
- a sequent is ...TODO</para>
+ a sequent is ...&TODO;</para>
</listitem>
</varlistentry>
<varlistentry>
</variablelist>
</para>
</sect1>
+ <sect1 id="tac_cases">
+ <title>cases</title>
+ <titleabbrev>cases</titleabbrev>
+ <para><userinput>
+ cases t hyps
+ </userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry role="tactic.synopsis">
+ <term>Synopsis:</term>
+ <listitem>
+ <para>
+ <emphasis role="bold">cases</emphasis>
+ &term; [<emphasis role="bold">(</emphasis>[&id;]…<emphasis role="bold">)</emphasis>]
+ </para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>
+ <command>t</command> must inhabit an inductive type
+ </para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>
+ It proceed by cases on <command>t</command>. The new generated
+ hypothesis in each branch are named according to
+ <command>hyps</command>.
+ </para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>One new sequent for each constructor of the type of
+ <command>t</command>. Each sequent has a new hypothesis for
+ each argument of the constructor.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
+ </sect1>
<sect1 id="tac_clear">
<title>clear</title>
<titleabbrev>clear</titleabbrev>
<title>decompose</title>
<titleabbrev>decompose</titleabbrev>
<para><userinput>
- decompose (T<subscript>1</subscript> ... T<subscript>n</subscript>)
- H as H<subscript>1</subscript> ... H<subscript>m</subscript>
+ decompose as H<subscript>1</subscript> ... H<subscript>m</subscript>
</userinput></para>
<para>
<variablelist>
<listitem>
<para>
<emphasis role="bold">decompose</emphasis>
- [<emphasis role="bold">(</emphasis>
- &id;…
- <emphasis role="bold">)</emphasis>]
- [&id;]
[<emphasis role="bold">as</emphasis> &id;…]
</para>
</listitem>
<varlistentry>
<term>Pre-conditions:</term>
<listitem>
- <para>
- <command>H</command> must inhabit one inductive type among
- <command>
- T<subscript>1</subscript> ... T<subscript>n</subscript>
- </command>
- and the types of a predefined list.
- </para>
+ <para>None.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
<para>
- Runs <command>
- elim H H<subscript>1</subscript> ... H<subscript>m</subscript>
- </command>, clears <command>H</command> and tries to run itself
- recursively on each new identifier introduced by
+ For each each premise <command>H</command> of type
+ <command>T</command> in the current context where
+ <command>T</command> is a non-recursive inductive type without
+ right parameters and of sort Prop or CProp, the tactic runs
+ <command>
+ elim H as H<subscript>1</subscript> ... H<subscript>m</subscript>
+ </command>, clears <command>H</command> and runs itself
+ recursively on each new premise introduced by
<command>elim</command> in the opened sequents.
- If <command>H</command> is not provided tries this operation on
- each premise in the current context.
</para>
</listitem>
</varlistentry>