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veriT
Alethe
Commits
1471cb81
Commit
1471cb81
authored
7 months ago
by
Hans-Jörg
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Add or_intro rule
parent
f2ee49ab
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!11
Add weakening rule
Pipeline
#44169
passed
7 months ago
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spec/changelog.tex
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spec/changelog.tex
spec/rule_list.tex
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spec/rule_list.tex
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spec/changelog.tex
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View file @
1471cb81
...
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@@ -11,6 +11,8 @@ Proof rules:
of equality explicitly but as an equivalence. Note that in principle this
could be done with the rule
\proofRule
{
symm
}
above, but would require a long
and tedious use of
\proofRule
{
subproof
}
for each direction of the equivalence.
\item
Addition of the rule
\proofRule
{
or
_
intro
}
to express weakening of a
clause.
\end{itemize}
\noindent
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spec/rule_list.tex
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1471cb81
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@@ -263,6 +263,7 @@ simplifications.}
\label
{
rule-tab:cvc5
}
\\
Rule
&
Description
\\
\hline
\ruleref
{
or
_
intro
}
&
Weakening of a clause.
\\
\ruleref
{
eq
_
symmetric
}
&
Symmetry of equality as equivalence.
\\
\end{xltabular}
\subsection
{
Rule List
}
...
...
@@ -844,6 +845,15 @@ An application of the \proofRule{or} rule.
\end{AletheVerb}
\end{RuleExample}
\begin{RuleDescription}
{
or
_
intro
}
\begin{AletheX}
$
i
$
.
&
\ctxsep
&
$
\varphi
_
1
,
\cdots
,
\varphi
_
n
$
&
(
$
\dots
$
)
\\
$
j
$
.
&
\ctxsep
&
$
\varphi
_
1
,
\cdots
,
\varphi
_
n,
\psi
_
1
,
\dots
,
\psi
_
m
$
&
(
\currule\;
$
i
$
)
\\
\end{AletheX}
where
$
m
\geq
1
$
.
\end{RuleDescription}
\begin{RuleDescription}
{
not
_
and
}
\begin{AletheX}
$
i
$
.
&
\ctxsep
&
$
\neg
(
\varphi
_
1
\land
\dots
\land
\varphi
_
n
)
$
&
(
$
\dots
$
)
\\
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