simplify: GF(f)=GF(dnf(f)) FG(f)=FG(cnf(f))
These rules come from Delag's paper, and help some cases in issue #385. * spot/tl/simplify.cc: Implement the simplification. * doc/tl/tl.tex, NEWS: Document it. * tests/core/385.test: New file. * tests/Makefile.am: Add it. * tests/core/reduccmp.test: More tests. * tests/core/ltl2tgba2.test: Adjust one improved case. * tests/python/automata.ipynb, tests/python/twagraph-internals.ipynb: Adjust expected output, as the cnf/dnf reorder some subformulas.
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tests/core/385.test
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tests/core/385.test
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#!/bin/sh
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# -*- coding: utf-8 -*-
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# Copyright (C) 2019 Laboratoire de Recherche et Développement de
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# l'Epita (LRDE).
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#
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# This file is part of Spot, a model checking library.
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#
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# Spot is free software; you can redistribute it and/or modify it
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# under the terms of the GNU General Public License as published by
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# the Free Software Foundation; either version 3 of the License, or
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# (at your option) any later version.
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#
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# Spot is distributed in the hope that it will be useful, but WITHOUT
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# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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# License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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. ./defs
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set -e
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# Formulas from issue #385.
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ltl2tgba -G --stats=%s,%f> out <<EOF
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GFX((e & XXXa) -> (e & X!d))
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G(Gc | Fa | F!G(c | Ge))
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Ge | XGF(Ge & X(c & Fd))
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G!GXXe -> GF(b & c & Gc)
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G!(Gd & (c | Fb))
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XF(F(Gc & Xb) -> a)
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EOF
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# Some of the following are still not optimal.
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cat >expected <<EOF
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1,GF(!a | !d | !e)
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6,G(Gc | F(a | (!c & F!e)))
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2,Ge | G(Fd & FGe & Fc)
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1,F(G(Fb & FGc) | Ge)
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4,G(F!d | (!c & G!b))
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3,F(GF!c | G!b) | XFa
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EOF
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diff out expected
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@ -369,7 +369,7 @@ diff output expected
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cat >formulas <<EOF
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GF((a & XXa) | (!a & XX!a)), 4,8, 4,8, 6,14, 7,14, 4,8
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GF((a & XXXa) | (!a & XXX!a)), 7,14, 8,16, 8,18, 15,30, 8,16
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GF(((a & Xb) | XXc) & Xd), 4,64, 4,64, 5,80, 5,80, 4,64
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GF(((a & Xb) | XXc) & Xd), 3,58, 4,64, 3,58, 5,80, 4,64
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GF((b | Fa) & (b R Xb)), 2,4, 2,4, 3,6, 3,12, 2,4
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G(F(a & Xa) & F(a & X!a)), 2,4, 2,4, 4,8, 4,8, 3,6
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G(!p0 & F(p1 & XG!p1)), 1,0, 1,0, 1,0, 1,0, 1,0
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@ -346,6 +346,8 @@ F(G(a & Fb)), G(Fb & FGa)
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G(F(a & Gb)), G(Fa & FGb)
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Ge | XGF(Ge & X(c & Fd)), Ge | G(Fd & FGe & Fc)
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G!GXXe -> GF(b & c & Gc), F(G(Fb & FGc) | Ge)
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GFX((e & XXXa) -> (e & X!d)), GF(!a | !d | !e)
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!GFX((e & XXXa) -> (e & X!d)), FG(a & d & e)
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# Because reduccmp will translate the formula,
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# this also check for an old bug in ltl2tgba_fm.
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