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tl: add support for X[n], F[n:m] and G[n:m]

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* NEWS, doc/tl/tl.tex, doc/tl/tl.bib: Document these new operators.
* spot/parsetl/parsetl.yy, spot/parsetl/scantl.ll: Parse those.
* spot/tl/formula.cc, spot/tl/formula.hh: Add constructors.
* spot/gen/formulas.cc: Use it.
* tests/core/sugar.test: New file.
* tests/Makefile.am: Add it.
This commit is contained in:
Alexandre Duret-Lutz 2018-07-05 17:29:25 +02:00
parent 2616ea7c80
commit e7aa334a71
10 changed files with 364 additions and 12 deletions
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20
doc/tl/tl.tex
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@ -55,12 +55,15 @@
\DeclareMathOperator{\F}{\texttt{F}}
\DeclareMathOperator{\FALT}{\texttt{<>}}
\newcommand{\FREP}[1]{\texttt{F[#1]}}
\DeclareMathOperator{\G}{\texttt{G}}
\DeclareMathOperator{\GALT}{\texttt{[]}}
\newcommand{\GREP}[1]{\texttt{G[#1]}}
\newcommand{\U}{\mathbin{\texttt{U}}}
\newcommand{\R}{\mathbin{\texttt{R}}}
\newcommand{\RALT}{\mathbin{\texttt{V}}}
\DeclareMathOperator{\X}{\texttt{X}}
\newcommand{\XREP}[1]{\texttt{X[#1]}}
\DeclareMathOperator{\XALT}{\texttt{()}}
\newcommand{\M}{\mathbin{\texttt{M}}}
\newcommand{\W}{\mathbin{\texttt{W}}}
@ -512,6 +515,23 @@ operators using only $\X$ and one operator chosen among $\U$, $\W$,
$\M$,and $\R$. This could be useful to understand the operators $\R$,
$\M$, and $\W$ if you are only familiar with $\X$ and $\U$.
\subsection{Syntactic Sugar}
The syntax on the left is equivalent to the syntax on the right.
These rewritings taken from the syntax of TSLF~\citep{jacobs.16.synt}
are performed from left to right when parsing a formula. They express
the fact that some formula $f$ has to be true in $n$ steps, or at some
or all times between $n$ and $m$ steps.
\begin{align*}
\XREP{\mvar{n}} f
& \equiv \underbrace{\X\X\ldots\X}_{\mathclap{\text{\mvar{n} occurrences of~}\X}} f \\
\FREP{\mvar{n}:\mvar{m}}f
& \equiv \underbrace{\vphantom{(}\X\X\ldots\X}_{\mathclap{\text{\mvar{n} occ. of~}\X}} (f \OR \underbrace{\X(f \OR \X(\ldots \OR \X f))}_{\mathclap{\mvar{m}-\mvar{n}\text{~occ. of~}\X}}) \\
\GREP{\mvar{n}:\mvar{m}}f
& \equiv \underbrace{\vphantom{(}\X\X\ldots\X}_{\mathclap{\text{\mvar{n} occ. of~}\X}} (f \AND \underbrace{\X(f \AND \X(\ldots \AND \X f))}_{\mathclap{\mvar{m}-\mvar{n}\text{~occ. of~}\X}}) \\
\end{align*}
\subsection{Trivial Identities (Occur Automatically)}
\begin{align*}