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veriT
Alethe
Commits
af7aceab
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af7aceab
authored
3 years ago
by
Fontaine Pascal
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More various fixes and comments
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spec/doc.tex
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af7aceab
...
...
@@ -976,6 +976,8 @@ production for the $\grT{choice}$ binder.
}
\par
}
\caption
{
The proof grammar
}
\label
{
fig:grammar
}
\end{figure}
% PF TODO: factorize <arg_annotation> and <premise_annotation>
% PF TODO: introduce ^? to denote optional non-terminal
Input problems in the SMT-LIB standard contain a list of
\emph
{
commands
}
that modify the internal state of the solver. In agreement
...
...
@@ -1007,6 +1009,21 @@ subproofs and sharing, respectively. The $\grT{define-fun}$ command
corresponds exactly to the
$
\grT
{
define
-
fun
}$
command of the
SMT-LIB language.
\begin{table}
[ht]
\label
{
rule-tab:special
}
\caption
{
Special Rules
}
\centering
\begin{tabular}
{
l l
}
Rule
&
Description
\\
\hline
\ruleref
{
assume
}
&
Repetition of an input assumption.
\\
\ruleref
{
subproof
}
&
Concludes a subproof and discharges local assumptions.
\\
\end{tabular}
\end{table}
% PF TODO: the following lets think there is a subproof command, whereas it is
% only the identified step in the anchor. This comes from the fact that
% assume is a command too, and proofrules have the same font as grT.
% I have not thought of a solution, we can discuss if needed.
\subsection*
{
Subproofs
}
As the name suggests, the
\proofRule
{
subproof
}
rule
expresses subproofs. This is possible because its application is
...
...
@@ -1068,21 +1085,7 @@ In the next section we provide a list of all proof rules supported by
first lists multiple classes of proof rules. The classes are not
mutually exclusive: for example, the
\proofRule
{
la
\_
generic
}
rule is
both a linear arithmetic rule and introduces a tautology.
Table~
\ref
{
rule-tab:special
}
lists rules that serve a special purpose.
\begin{table}
[h!]
\label
{
rule-tab:special
}
\caption
{
Special Rules
}
\centering
\begin{tabular}
{
l l
}
Rule
&
Description
\\
\hline
\ruleref
{
assume
}
&
Repetition of an input assumption.
\\
\ruleref
{
subproof
}
&
Concludes a subproof and discharges local assumptions.
\\
\end{tabular}
\end{table}
\noindent
Table~
\ref
{
rule-tab:tautologies
}
lists all rules that introduce
tautologies. That is, regular rules that do not use premises.
...
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