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727d4cc6
Commit
727d4cc6
authored
Jan 23, 2016
by
Alexandre Duret-Lutz
Browse files
* doc/org/concepts.org: Fix a few typos.
parent
c4e9083f
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727d4cc6
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@@ -881,8 +881,8 @@ finite languages as a prefix of a PSL formula.
| PSL formula | meaning |
|--------------+-------------------------------------------------------------------------|
| ={e}<>->f
| =f= should hold on the last instant of some one prefix that matches =e= |
| ={e}[]->f
| =f= should hold on the last instant of all prefixes that match =e= |
| ={e}<>->f
=
| =f= should hold on the last instant of some one prefix that matches =e= |
| ={e}[]->f
=
| =f= should hold on the last instant of all prefixes that match =e= |
In the above table =e= is a semi-extended expression, and =f= is a PSL (or LTL) formula.
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@@ -890,16 +890,16 @@ Semi-extended regular expressions can be formed using Boolean
expressions over [[#ap][atomic propositions]] and the following
operators:
| SERE | meaning |
|--------------------+-----------------------------------------------------------------------------------|
| =e1;e2= | =e1= followed by =e2= (concatenation) |
| =e1:e2= | =e1= fused with =e2=: =e2= has to start matching on the last letter matching =e1= |
| =e1 \vert\vert e2= | =e1= or =e2= have to match (union) |
| =e1 && e2= | =e1= and =e2= have to match (intersection) |
| =e1 & e2= | =e2= should match a prefix of what =e1= matches, or vice-versa |
| =e[*]= | =e= should be matched a finite number of times (Kleene star) |
| =e[*2..3]= | same as =(e;e)\vert\vert(e;e;e)=
|
| =e[+]= | =e= should be matched a finite number of times, and at least once |
| SERE
| meaning |
|--------------------
--
+-----------------------------------------------------------------------------------|
| =e1;e2=
| =e1= followed by =e2= (concatenation) |
| =e1:e2=
| =e1= fused with =e2=: =e2= has to start matching on the last letter matching =e1= |
| =e1
=
\vert\vert
=
e2= | =e1= or =e2= have to match (union) |
| =e1 && e2=
| =e1= and =e2= have to match (intersection) |
| =e1 & e2=
| =e2= should match a prefix of what =e1= matches, or vice-versa |
| =e[*]=
| =e= should be matched a finite number of times (Kleene star) |
| =e[*2..3]=
| same as =(e;e)
=
\vert\vert
=
(e;e;e)= |
| =e[+]=
| =e= should be matched a finite number of times, and at least once |
For example the formula ={(1;1)[*]}[]->a= can be interpreted as follows:
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@@ -929,7 +929,7 @@ automaton can then be simplified using several algorithms depending on what opti
Here is for instance a translation of ={(1;1)[*]}[]->a= discussed [[#psl][above]].
#+NAME: ltl2tgba1
#+BEGIN_SRC sh :results verbatim :exports
both
#+BEGIN_SRC sh :results verbatim :exports
code
ltl2tgba '{(1;1)[*]}[]->a' -d
#+END_SRC
#+BEGIN_SRC dot :file concept-ltl2tgba.png :cmdline -Tpng :var txt=ltl2tgba1 :exports results
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