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Add back the '*' syntax for And.

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This somehow revert changes from 2010-01-30 which killed this use of
star to make room for the Kleen star.  Here we only allow '*' in the
temporal formula, so that it can still be the Kleen star in SERE.  The
motivation for '*' available as And is better compatibility with Wring
and VIS.

* src/ltlparse/ltlscan.ll: Distinguish * from [*].
* src/ltlparse/ltlparse.yy: Allows * to be used as AND between
temporal formulae.
* src/ltltest/equals.test, src/ltltest/parse.test: Add a few
tests.
* doc/tl/tl.tex: Document it.
This commit is contained in:
Alexandre Duret-Lutz 2012-08-29 18:05:31 +02:00
parent 60ec3acea0
commit 5939d6f493
5 changed files with 33 additions and 9 deletions
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10
doc/tl/tl.tex
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@ -83,6 +83,7 @@
\newcommand{\1}{\texttt{1}}
\newcommand{\STAR}[1]{\texttt{[*#1]}}
\newcommand{\STARALT}{\texttt{*}}
\newcommand{\STARBIN}{\mathbin{\texttt{*}}}
\newcommand{\EQUAL}[1]{\texttt{[=#1]}}
\newcommand{\GOTO}[1]{\texttt{[->#1]}}
\newcommand{\PLUS}{\texttt{[+]}}
@ -361,12 +362,17 @@ following Boolean operators:
\cmidrule(r){1-5} \cmidrule(l){6-7}
negation & $\NOT f$ & $\NOTALT f$ & & & $\lnot$ \uni{00AC} \\
disjunction & $f\OR g$ & $f\ORALT g$ & $f\ORALTT g$ & $f\ORALTTT g$ & $\lor$ \uni{2228} & $\cup$ \uni{222A}\\
conjunction & $f\AND g$ & $f\ANDALT g$ & $f\ANDALTT g$ & & $\land$ \uni{2227} & $\cap$ \uni{2229}\\
conjunction & $f\AND g$ & $f\ANDALT g$ & $f\ANDALTT g$ & $f\STARBIN g$\rlap{\footnotemark} & $\land$ \uni{2227} & $\cap$ \uni{2229}\\
implication & $f\IMPLIES g$ & $f\IMPLIESALT g$ & $f\IMPLIESALTT g$ & & $\limplies$ \uni{2192} & $\rightarrow$ \uni{27F6}, $\Rightarrow$ \uni{21D2} \uni{27F9} \\
exclusion & $f\XOR g$ & $f\XORALT g$ & & & $\oplus$ \uni{2295} \\
equivalence & $f\EQUIV g$ & $f\EQUIVALT g$ & $f\EQUIVALTT g$ & & $\liff$ \uni{2194} & $\Leftrightarrow$ \uni{21D4}\\
\end{tabular}
\end{center}
\footnotetext{The $\STARALT$-form of the conjunction operator
(allowing better compatibility with Wring and VIS) may only used in
temporal formul\ae. Boolean expressions that occur inside SERE (see
Section~\ref{sec:sere}) may not use this form because the $\STARALT$
symbol is used as the Kleen star.}
Additionally, an atomic proposition $a$ can be negated using the
syntax \samp{$a$=0}, which is equivalent to \samp{$\NOT a$}. Also
@ -558,7 +564,7 @@ Among all the possible rewritings (see Appendix~\ref{sec:ltl-equiv})
those two were chosen because they are easier to translate in a
tableau construction~\cite[Fig.~11]{duret.11.vecos}.
\section{SERE Operators}
\section{SERE Operators}\label{sec:sere}
The ``SERE'' acronym will be translated to different word depending on
the source. It can mean either ``\textit{Sequential Extended Regular