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simplify: reduce {r;1} to {r} or {1}

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Fixes #3.

* spot/tl/simplify.cc: Implement this new rule.
* doc/tl/tl.tex, NEWS: Document it.
* tests/core/reduccmp.test: Test it.
This commit is contained in:
Alexandre Duret-Lutz 2018-03-15 07:59:25 +01:00
parent 2d18ac22fb
commit cfcc18e680
4 changed files with 29 additions and 1 deletions
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doc/tl/tl.tex
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@ -1636,6 +1636,10 @@ Here are the basic rewritings for the weak closure and its negation:
\begin{align*}
\sere{r\STAR{}}&\equiv \sere{r}&
\nsere{r\STAR{}}&\equiv \nsere{r}\\
\sere{r;\1}&\equiv \sere{r} \quad\text{if~}\varepsilon\not\VDash r&
\nsere{r;\1}&\equiv \nsere{r} \quad\text{if~}\varepsilon\not\VDash r\\
\sere{r;\1}&\equiv \1 \quad\text{if~}\varepsilon\VDash r&
\nsere{r;\1}&\equiv \0 \quad\text{if~}\varepsilon\VDash r\\
\sere{r_1;r_2}&\equiv \sere{r_1}\phantom{{}\OR\sere{r_2}}\quad\text{if~}\varepsilon\not\VDash r_1\land\varepsilon\VDash r_2&
\nsere{r_1;r_2}&\equiv \nsere{r_1}\phantom{{}\AND\nsere{r_2}}\quad\text{if~}\varepsilon\not\VDash r_1\land\varepsilon\VDash r_2\\
\sere{r_1;r_2}&\equiv \sere{r_1}\OR\sere{r_2}\quad\text{if~}\varepsilon\VDash r_1\land\varepsilon\VDash r_2&