Skip to content
GitLab
Projects
Groups
Snippets
/
Help
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in
Toggle navigation
Menu
Open sidebar
Spot
Spot
Commits
75862a32
Commit
75862a32
authored
Jun 04, 2012
by
Alexandre Duret-Lutz
Browse files
* doc/tl/tl.tex: Add a tricky example for the {r} operator.
parent
87765ca8
Changes
1
Hide whitespace changes
Inline
Side-by-side
doc/tl/tl.tex
View file @
75862a32
...
...
@@ -810,12 +810,15 @@ while $f$ is a PSL formula.
\end{align*}
The
$
\prec
$
symbol should be read as ``
\emph
{
is a prefix of
}
''. So
the semantic for `
$
\sigma\vDash
\sere
{
r
}$
' is that either there is
a
(non-empty) finite prefix of
$
\sigma
$
that is a model of
$
r
$
, or any
the semantic for `
$
\sigma\vDash
\sere
{
r
}$
' is that either there is
a
(non-empty) finite prefix of
$
\sigma
$
that is a model of
$
r
$
, or any
prefix of
$
\sigma
$
can be extended into a finite sequence
$
\pi
$
that
is a model of
$
r
$
. An infinite sequence
$
\texttt
{
a;a;a;a;a;
}
\ldots
$
is therefore a model of the formula
\samp
{$
\sere
{
a
\PLUS
{}
;
\NOT
a
}$}
even though it never sees
\samp
{$
\NOT
a
$}
.
is therefore a model of the formula
\samp
{$
\sere
{
a
\PLUS
{}
\CONCAT\NOT
a
}$}
even though it never sees
\samp
{$
\NOT
a
$}
. The same sequence
is not a model of
\samp
{$
\sere
{
a
\PLUS
{}
\CONCAT\NOT
a
\CONCAT
(
a
\STAR
{}
\ANDALT
(
a
\STAR
{}
\CONCAT\NOT
a
\CONCAT
a
\STAR
{}
))
}$}
because this SERE does accept any word.
\subsection
{
Syntactic Sugar
}
\label
{
sec:pslsugar
}
...
...
Write
Preview
Supports
Markdown
0%
Try again
or
attach a new file
.
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment