Rewrite F(a M b) as F(a & b), and G(a W b) as G(a | b).
* src/ltlvisit/simplify.cc: Implement these rules. * src/ltltest/reduccmp.test: Add tests. * doc/tl/tl.tex: Document them.
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3 changed files with 65 additions and 16 deletions
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@ -1,4 +1,4 @@
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#! /bin/sh
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#! /bin/sh
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# Copyright (C) 2009, 2010, 2011, 2012 Laboratoire de Recherche et Developpement
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# de l'Epita (LRDE).
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# Copyright (C) 2004, 2006 Laboratoire d'Informatique de Paris 6 (LIP6),
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@ -166,6 +166,11 @@ for x in ../reduccmp ../reductaustr; do
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run 0 $x 'a R (!a M a)' '0'
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run 0 $x 'a W (!a M a)' 'Ga'
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run 0 $x 'F(a U b)' 'Fb'
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run 0 $x 'F(a M b)' 'F(a & b)'
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run 0 $x 'G(a R b)' 'Gb'
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run 0 $x 'G(a W b)' 'G(a | b)'
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# Syntactic implication
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run 0 $x '(a & b) R (a R c)' '(a & b)R c'
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run 0 $x 'a R ((a & b) R c)' '(a & b)R c'
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@ -736,6 +736,24 @@ namespace spot
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return is_binop(f, binop::U);
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}
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binop*
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is_M(formula* f)
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{
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return is_binop(f, binop::M);
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}
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binop*
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is_R(formula* f)
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{
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return is_binop(f, binop::R);
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}
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binop*
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is_W(formula* f)
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{
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return is_binop(f, binop::W);
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}
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formula*
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unop_multop(unop::type uop, multop::type mop, multop::vec* v)
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{
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@ -1061,6 +1079,20 @@ namespace spot
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return;
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}
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// F(a M b) = F(a & b)
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bo = is_M(result_);
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if (bo)
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{
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formula* r =
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unop::instance(unop::F,
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multop::instance(multop::And,
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bo->first()->clone(),
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bo->second()->clone()));
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bo->destroy();
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result_ = recurse_destroy(r);
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return;
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}
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// FX(a) = XF(a)
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{
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unop* u = is_X(result_);
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@ -1113,17 +1145,28 @@ namespace spot
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{
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// G(a R b) = G(b)
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if (result_->kind() == formula::BinOp)
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binop* bo = is_R(result_);
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if (bo)
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{
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binop* bo = static_cast<binop*>(result_);
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if (bo->op() == binop::R)
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{
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formula* r =
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unop::instance(unop::G, bo->second()->clone());
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bo->destroy();
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result_ = recurse_destroy(r);
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return;
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}
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formula* r =
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unop::instance(unop::G, bo->second()->clone());
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bo->destroy();
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result_ = recurse_destroy(r);
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return;
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}
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// G(a W b) = G(a | b)
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bo = is_W(result_);
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if (bo)
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{
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formula* r =
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unop::instance(unop::G,
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multop::instance(multop::Or,
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bo->first()->clone(),
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bo->second()->clone()));
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bo->destroy();
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result_ = recurse_destroy(r);
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return;
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}
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// GX(a) = XG(a)
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