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tl: new simplification rules

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Related to issue #385.

* doc/tl/tl.tex, NEWS: Document the rules.
* spot/tl/simplify.cc: Implement the rules.
* tests/core/reduccmp.test, tests/core/ltl2tgba2.test: Add tests.
* tests/core/degenscc.test: Adjust.
This commit is contained in:
Alexandre Duret-Lutz 2019-05-18 11:34:09 +02:00
parent 066133b829
commit b726d78cbd
6 changed files with 129 additions and 36 deletions
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12
doc/tl/tl.tex
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@ -1451,11 +1451,13 @@ instead of $\equiv$, and they can be disabled by setting the
The following are simplification rules for unary operators (applied
from left to right, as usual):
\begin{align*}
\X\F\G f & \equiv \F\G f & \F\X f & \equiv \X\F f & \G\X f & \equiv \X\G f \\
\X\G\F f & \equiv \G\F f & \F(f\U g) & \equiv \F g & \G(f \R g) & \equiv \G g \\
& & \F(f\M g) & \equiv \F (f\AND g) & \G(f \W g) & \equiv \G(f\OR g) \\
& & \F\G(f\AND \X g) & \equiv \F\G(f\AND g) & \G\F(f\OR \X g) & \equiv \G\F(f\OR g) \\
& & \F\G(f\AND \G g) & \equiv \F\G(f\AND g) & \G\F(f\OR \F g) & \equiv \G\F(f\OR g) \\
\X\F\G f & \equiv \F\G f & \F(f\U g) & \equiv \F g & \G(f \R g) & \equiv \G g \\
\X\G\F f & \equiv \G\F f & \F(f\M g) & \equiv \F (f\AND g) & \G(f \W g) & \equiv \G(f\OR g) \\
\F\X f & \equiv \X\F f & \F\G(f\AND \X g) & \equiv \F\G(f\AND g) & \G\F(f\OR \X g) & \equiv \G\F(f\OR g) \\
\G\X f & \equiv \X\G f & \F\G(f\AND \G g) & \equiv \F\G(f\AND g) & \G\F(f\OR \F g) & \equiv \G\F(f\OR g) \\
& & \F\G(f\OR\G g) & \equiv \F(\G f\OR\G g) & \G\F(f\AND\F g) & \equiv \G(\F f\AND\F g) \\
& & \F\G(f\AND\F g) & \equiV \F\G f\AND\G\F g & \G\F(f\AND\G g) & \equiV \G\F f\AND\F\G g \\
& & \F\G(f\OR\F g) & \equivEU \F\G f\OR\G\F g & \G\F(f\OR\G g) & \equivEU \G\F f\OR\F\G g
\end{align*}
\begin{align*}
\G(f_1\OR\ldots\OR f_n \OR \G\F(g_1)\OR\ldots\OR \G\F(g_m)) & \equiv \G(f_1\OR\ldots\OR f_n)\OR \G\F(g_1\OR\ldots\OR g_m)