merge ltlvisit/ ltlast/ ltlenv/ into a single tl/ directory
The ltl prefix does not make a lot of sens anymore (since we support psl as well). ltlast/ and ltlenv/ were almost empty. And ltlvisit/ did not contain any visitor anymore. * src/ltlvisit/, src/ltlast/, src/ltlenv/: Merge into... * src/tl/: ...this. * NEWS: Mention the change. * README, bench/stutter/stutter_invariance_formulas.cc, bench/stutter/stutter_invariance_randomgraph.cc, configure.ac, doc/org/tut01.org, doc/org/tut02.org, doc/org/tut10.org, doc/tl/tl.tex, iface/ltsmin/ltsmin.hh, iface/ltsmin/modelcheck.cc, src/Makefile.am, src/bin/autfilt.cc, src/bin/common_output.cc, src/bin/common_output.hh, src/bin/common_r.hh, src/bin/common_trans.cc, src/bin/genltl.cc, src/bin/ltl2tgba.cc, src/bin/ltl2tgta.cc, src/bin/ltlcross.cc, src/bin/ltldo.cc, src/bin/ltlfilt.cc, src/bin/ltlgrind.cc, src/bin/randltl.cc, src/kripke/kripkeexplicit.hh, src/kripkeparse/public.hh, src/parseaut/public.hh, src/priv/accmap.hh, src/ta/taexplicit.hh, src/ta/tgtaexplicit.hh, src/tests/equalsf.cc, src/tests/ikwiad.cc, src/tests/length.cc, src/tests/ltlrel.cc, src/tests/randtgba.cc, src/tests/readltl.cc, src/tests/reduc.cc, src/tests/syntimpl.cc, src/tests/taatgba.cc, src/tests/tostring.cc, src/tests/twagraph.cc, src/twa/acc.hh, src/twa/bdddict.cc, src/twa/bdddict.hh, src/twa/bddprint.cc, src/twa/taatgba.cc, src/twa/taatgba.hh, src/twa/twa.hh, src/twa/twagraph.cc, src/twa/twagraph.hh, src/twa/twasafracomplement.cc, src/twaalgos/compsusp.cc, src/twaalgos/compsusp.hh, src/twaalgos/dtgbasat.cc, src/twaalgos/hoa.cc, src/twaalgos/isweakscc.cc, src/twaalgos/lbtt.cc, src/twaalgos/ltl2taa.cc, src/twaalgos/ltl2taa.hh, src/twaalgos/ltl2tgba_fm.cc, src/twaalgos/ltl2tgba_fm.hh, src/twaalgos/minimize.hh, src/twaalgos/neverclaim.cc, src/twaalgos/randomgraph.hh, src/twaalgos/relabel.hh, src/twaalgos/remprop.hh, src/twaalgos/stats.cc, src/twaalgos/stutter.cc, src/twaalgos/translate.hh, wrap/python/spot_impl.i, src/ltlparse/ltlparse.yy, src/ltlparse/public.hh: Adjust.
This commit is contained in:
parent
3e10dba978
commit
6ded5e75c4
119 changed files with 269 additions and 343 deletions
487
src/tl/relabel.cc
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487
src/tl/relabel.cc
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// -*- coding: utf-8 -*-
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// Copyright (C) 2012, 2013, 2014, 2015 Laboratoire de Recherche et
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// Développement de 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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#include "relabel.hh"
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#include <sstream>
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#include "misc/hash.hh"
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#include <map>
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#include <set>
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#include <stack>
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#include <iostream>
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namespace spot
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{
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namespace ltl
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{
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//////////////////////////////////////////////////////////////////////
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// Basic relabeler
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//////////////////////////////////////////////////////////////////////
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namespace
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{
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struct ap_generator
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{
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virtual formula next() = 0;
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virtual ~ap_generator() {}
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};
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struct pnn_generator final: ap_generator
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{
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unsigned nn;
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pnn_generator()
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: nn(0)
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{
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}
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formula next()
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{
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std::ostringstream s;
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s << 'p' << nn++;
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return formula::ap(s.str());
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}
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};
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struct abc_generator final: ap_generator
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{
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public:
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abc_generator()
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: nn(0)
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{
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}
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unsigned nn;
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formula next()
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{
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std::string s;
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unsigned n = nn++;
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do
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{
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s.push_back('a' + (n % 26));
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n /= 26;
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}
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while (n);
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return formula::ap(s);
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}
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};
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class relabeler
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{
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public:
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typedef std::unordered_map<formula, formula> map;
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map newname;
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ap_generator* gen;
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relabeling_map* oldnames;
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relabeler(ap_generator* gen, relabeling_map* m)
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: gen(gen), oldnames(m)
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{
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}
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~relabeler()
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{
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delete gen;
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}
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formula rename(formula old)
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{
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auto r = newname.emplace(old, nullptr);
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if (!r.second)
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{
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return r.first->second;
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}
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else
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{
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formula res = gen->next();
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r.first->second = res;
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if (oldnames)
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(*oldnames)[res] = old;
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return res;
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}
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}
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formula
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visit(formula f)
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{
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if (f.is(op::ap))
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return rename(f);
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else
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return f.map([this](formula f)
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{
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return this->visit(f);
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});
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}
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};
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}
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formula
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relabel(formula f, relabeling_style style, relabeling_map* m)
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{
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ap_generator* gen = nullptr;
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switch (style)
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{
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case Pnn:
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gen = new pnn_generator;
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break;
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case Abc:
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gen = new abc_generator;
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break;
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}
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relabeler r(gen, m);
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return r.visit(f);
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}
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//////////////////////////////////////////////////////////////////////
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// Boolean-subexpression relabeler
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//////////////////////////////////////////////////////////////////////
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// Here we want to rewrite a formula such as
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// "a & b & X(c & d) & GF(c & d)" into "p0 & Xp1 & GFp1"
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// where Boolean subexpressions are replaced by fresh propositions.
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//
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// Detecting Boolean subexpressions is not a problem.
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// Furthermore, because we are already representing LTL formulas
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// with sharing of identical sub-expressions we can easily rename
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// a subexpression (such as c&d above) only once. However this
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// scheme has two problems:
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//
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// 1. It will not detect inter-dependent Boolean subexpressions.
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// For instance it will mistakenly relabel "(a & b) U (a & !b)"
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// as "p0 U p1", hiding the dependency between a&b and a&!b.
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//
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// 2. Because of our n-ary operators, it will fail to
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// notice that (a & b) is a sub-expression of (a & b & c).
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//
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// The code below only addresses point 1 so that interdependent
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// subexpressions are not relabeled. Point 2 could be improved in
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// a future version of somebody feels inclined to do so.
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//
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// The way we compute the subexpressions that can be relabeled is
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// by transforming the formula syntax tree into an undirected
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// graph, and computing the cut points of this graph. The cut
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// points (or articulation points) are the nodes whose removal
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// would split the graph in two components. To ensure that a
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// Boolean operator is only considered as a cut point if it would
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// separate all of its children from the rest of the graph, we
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// connect all the children of Boolean operators.
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//
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// For instance (a & b) U (c & d) has two (Boolean) cut points
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// corresponding to the two AND operators:
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//
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// (a&b)U(c&d)
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// ╱ ╲
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// a&b c&d
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// ╱ ╲ ╱ ╲
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// a─────b c─────d
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//
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// (The root node is also a cut-point, but we only consider Boolean
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// cut-points for relabeling.)
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//
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// On the other hand, (a & b) U (b & !c) has only one Boolean
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// cut-point which corresponds to the NOT operator:
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//
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// (a&b)U(b&!c)
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// ╱ ╲
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// a&b b&c
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// ╱ ╲ ╱ ╲
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// a─────b────!c
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// │
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// c
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//
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// Note that if the children of a&b and b&c were not connected,
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// a&b and b&c would be considered as cut points because they
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// separate "a" or "!c" from the rest of the graph.
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//
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// The relabeling of a formula is therefore done in 3 passes:
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// 1. convert the formula's syntax tree into an undirected graph,
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// adding links between children of Boolean operators
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// 2. compute the (Boolean) cut points of that graph, using the
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// Hopcroft-Tarjan algorithm (see below for a reference)
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// 3. recursively scan the formula's tree until we reach
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// either a (Boolean) cut point or an atomic proposition, and
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// replace that node by a fresh atomic proposition.
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//
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// In the example above (a&b)U(b&!c), the last recursion
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// stop a, b, and !c, producing (p0&p1)U(p1&p2).
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namespace
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{
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typedef std::vector<formula> succ_vec;
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typedef std::map<formula, succ_vec> fgraph;
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// Convert the formula's syntax tree into an undirected graph
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// labeled by subformulas.
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class formula_to_fgraph final
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{
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public:
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fgraph& g;
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std::stack<formula> s;
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formula_to_fgraph(fgraph& g):
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g(g)
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{
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}
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~formula_to_fgraph()
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{
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}
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void
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visit(formula f)
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{
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{
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// Connect to parent
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auto in = g.emplace(f, succ_vec());
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if (!s.empty())
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{
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formula top = s.top();
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in.first->second.push_back(top);
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g[top].push_back(f);
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if (!in.second)
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return;
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}
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else
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{
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assert(in.second);
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}
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}
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s.push(f);
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unsigned sz = f.size();
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unsigned i = 0;
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if (sz > 2 && !f.is_boolean())
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{
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/// If we have a formula like (a & b & Xc), consider
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/// it as ((a & b) & Xc) in the graph to isolate the
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/// Boolean operands as a single node.
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formula b = f.boolean_operands(&i);
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if (b)
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visit(b);
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}
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for (; i < sz; ++i)
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visit(f[i]);
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if (sz > 1 && f.is_boolean())
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{
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// For Boolean nodes, connect all children in a
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// loop. This way the node can only be a cut-point
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// if it separates all children from the reset of
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// the graph (not only one).
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formula pred = f[0];
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for (i = 1; i < sz; ++i)
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{
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formula next = f[i];
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// Note that we only add an edge in one
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// direction, because we are building a cycle
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// between all children anyway.
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g[pred].push_back(next);
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pred = next;
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}
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g[pred].push_back(f[0]);
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}
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s.pop();
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}
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};
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typedef std::set<formula> fset;
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struct data_entry // for each node of the graph
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{
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unsigned num; // serial number, in pre-order
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unsigned low; // lowest number accessible via unstacked descendants
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data_entry(unsigned num = 0, unsigned low = 0)
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: num(num), low(low)
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{
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}
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};
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typedef std::unordered_map<formula, data_entry> fmap_t;
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struct stack_entry
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{
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formula grand_parent;
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formula parent; // current node
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succ_vec::const_iterator current_child;
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succ_vec::const_iterator last_child;
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};
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typedef std::stack<stack_entry> stack_t;
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// Fill c with the Boolean cutpoints of g, starting from start.
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//
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// This is based no "Efficient Algorithms for Graph
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// Manipulation", J. Hopcroft & R. Tarjan, in Communications of
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// the ACM, 16 (6), June 1973.
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//
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// It differs from the original algorithm by returning only the
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// Boolean cutpoints, and not dealing with the initial state
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// properly (our initial state will always be considered as a
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// cut-point, but since we only return Boolean cut-points it's
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// OK: if the top-most formula is Boolean we want to replace it
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// as a whole).
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void cut_points(const fgraph& g, fset& c, formula start)
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{
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stack_t s;
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unsigned num = 0;
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fmap_t data;
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data_entry d = { num, num };
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data[start] = d;
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++num;
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const succ_vec& children = g.find(start)->second;
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stack_entry e = { start, start, children.begin(), children.end() };
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s.push(e);
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while (!s.empty())
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{
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stack_entry& e = s.top();
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if (e.current_child != e.last_child)
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{
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// Skip the edge if it is just the reverse of the one
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// we took.
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formula child = *e.current_child;
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if (child == e.grand_parent)
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{
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++e.current_child;
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continue;
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}
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auto i = data.emplace(std::piecewise_construct,
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std::forward_as_tuple(child),
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std::forward_as_tuple(num, num));
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if (i.second) // New destination.
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{
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++num;
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const succ_vec& children = g.find(child)->second;
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stack_entry newe = { e.parent, child,
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children.begin(), children.end() };
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s.push(newe);
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}
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else // Destination exists.
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{
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data_entry& dparent = data[e.parent];
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data_entry& dchild = i.first->second;
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// If this is a back-edge, update
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// the low field of the parent.
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if (dchild.num <= dparent.num)
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if (dparent.low > dchild.num)
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dparent.low = dchild.num;
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}
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++e.current_child;
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}
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else
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{
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formula grand_parent = e.grand_parent;
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formula parent = e.parent;
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s.pop();
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if (!s.empty())
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{
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data_entry& dparent = data[parent];
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data_entry& dgrand_parent = data[grand_parent];
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if (dparent.low >= dgrand_parent.num // cut-point
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&& grand_parent.is_boolean())
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c.insert(grand_parent);
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if (dparent.low < dgrand_parent.low)
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dgrand_parent.low = dparent.low;
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}
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}
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}
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}
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class bse_relabeler final: public relabeler
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{
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public:
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fset& c;
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bse_relabeler(ap_generator* gen, fset& c,
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relabeling_map* m)
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: relabeler(gen, m), c(c)
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{
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}
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using relabeler::visit;
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formula
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visit(formula f)
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{
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if (f.is(op::ap) || (c.find(f) != c.end()))
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return rename(f);
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unsigned sz = f.size();
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if (sz <= 2)
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return f.map([this](formula f)
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{
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return visit(f);
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});
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unsigned i = 0;
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std::vector<formula> res;
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/// If we have a formula like (a & b & Xc), consider
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/// it as ((a & b) & Xc) in the graph to isolate the
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/// Boolean operands as a single node.
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formula b = f.boolean_operands(&i);
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if (b)
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{
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res.reserve(sz - i + 1);
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res.push_back(visit(b));
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}
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else
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{
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res.reserve(sz);
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}
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for (; i < sz; ++i)
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res.push_back(visit(f[i]));
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return formula::multop(f.kind(), res);
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}
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};
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}
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formula
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relabel_bse(formula f, relabeling_style style, relabeling_map* m)
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{
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fgraph g;
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// Build the graph g from the formula f.
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{
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formula_to_fgraph conv(g);
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conv.visit(f);
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}
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// Compute its cut-points
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fset c;
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cut_points(g, c, f);
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// Relabel the formula recursively, stopping
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// at cut-points or atomic propositions.
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||||
ap_generator* gen = nullptr;
|
||||
switch (style)
|
||||
{
|
||||
case Pnn:
|
||||
gen = new pnn_generator;
|
||||
break;
|
||||
case Abc:
|
||||
gen = new abc_generator;
|
||||
break;
|
||||
}
|
||||
bse_relabeler rel(gen, c, m);
|
||||
return rel.visit(f);
|
||||
}
|
||||
}
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue