add ltlsynt executable
For now, ltlsynt only handles LTL realizability. It uses a reduction to parity game followed by Calude et al.'s reduction from parity game to reachability game. * bin/ltlsynt.cc, bin/Makefile.am, bin/man/ltlsynt.x, bin/man/Makefile.am, bin/.gitignore: New binary. * doc/org/arch.tex, doc/Makefile.am, doc/org/tools.org, doc/org/ltlsynt.org: Document it. * spot/misc/game.cc, spot/misc/game.hh, spot/misc/Makefile.am: Parity game wrapper for parity automata + reachability game interface from Calude et al.'s paper.
This commit is contained in:
Thibaud Michaud
parent
7a11842613
commit
0821c97eb8
13 changed files with 812 additions and 4 deletions
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@ -38,6 +38,7 @@ misc_HEADERS = \
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escape.hh \
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fixpool.hh \
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formater.hh \
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game.hh \
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hash.hh \
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hashfunc.hh \
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intvcomp.hh \
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@ -62,6 +63,7 @@ libmisc_la_SOURCES = \
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bitvect.cc \
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escape.cc \
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formater.cc \
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game.cc \
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intvcomp.cc \
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intvcmp2.cc \
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memusage.cc \
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224
spot/misc/game.cc
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224
spot/misc/game.cc
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@ -0,0 +1,224 @@
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// -*- coding: utf-8 -*-
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// Copyright (C) 2017 Laboratoire de Recherche et Développement
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// 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 <config.h>
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#include <cmath>
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#include "spot/misc/game.hh"
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namespace spot
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{
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void parity_game::print(std::ostream& os)
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{
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os << "parity " << num_states() - 1 << ";\n";
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std::vector<bool> seen(num_states(), false);
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std::vector<unsigned> todo({get_init_state_number()});
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while (!todo.empty())
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{
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unsigned src = todo.back();
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todo.pop_back();
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seen[src] = true;
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os << src << ' ';
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os << out(src).begin()->acc.max_set() - 1 << ' ';
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os << owner(src) << ' ';
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bool first = true;
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for (auto& e: out(src))
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{
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if (!first)
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os << ',';
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first = false;
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os << e.dst;
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if (!seen[e.dst])
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todo.push_back(e.dst);
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}
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if (src == get_init_state_number())
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os << " \"INIT\"";
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os << ";\n";
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}
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}
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bool parity_game::solve_qp() const
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{
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return reachability_game(*this).is_reachable();
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}
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int reachability_state::compare(const state* other) const
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{
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auto o = down_cast<const reachability_state*>(other);
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assert(o);
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if (num_ != o->num())
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return num_ - o->num();
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if (b_ < o->b())
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return -1;
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if (b_ > o->b())
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return 1;
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return 0;
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}
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bool reachability_state::operator<(const reachability_state& o) const
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{
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// Heuristic to process nodes with a higher chance of leading to a target
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// node first.
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assert(b_.size() == o.b().size());
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for (unsigned i = b_.size(); i > 0; --i)
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if (b_[i - 1] != o.b()[i - 1])
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return b_[i - 1] > o.b()[i - 1];
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return num_ < o.num();
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}
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const reachability_state* reachability_game_succ_iterator::dst() const
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{
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// NB: colors are indexed at 1 in Calude et al.'s paper and at 0 in spot
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// All acceptance sets are therefore incremented (which is already done by
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// max_set), so that 0 can be kept as a special value indicating that no
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// i-sequence is tracked at this index. Hence the parity switch in the
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// following implementation, compared to the paper.
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std::vector<unsigned> b = state_.b();
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unsigned a = it_->acc.max_set();
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assert(a);
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unsigned i = -1U;
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bool all_even = a % 2 == 0;
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for (unsigned j = 0; j < b.size(); ++j)
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{
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if ((b[j] % 2 == 1 || b[j] == 0) && all_even)
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i = j;
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else if (b[j] > 0 && a > b[j])
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i = j;
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all_even = all_even && b[j] > 0 && b[j] % 2 == 0;
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}
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if (i != -1U)
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{
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b[i] = a;
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for (unsigned j = 0; j < i; ++j)
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b[j] = 0;
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}
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return new reachability_state(it_->dst, b, !state_.anke());
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}
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const reachability_state* reachability_game::get_init_state() const
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{
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// b[ceil(log(n + 1))] != 0 implies there is an i-sequence of length
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// 2^(ceil(log(n + 1))) >= 2^log(n + 1) = n + 1, so it has to contain a
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// cycle.
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unsigned i = std::ceil(std::log2(pg_.num_states() + 1));
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return new reachability_state(pg_.get_init_state_number(),
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std::vector<unsigned>(i + 1),
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false);
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}
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reachability_game_succ_iterator*
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reachability_game::succ_iter(const state* s) const
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{
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auto state = down_cast<const reachability_state*>(s);
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return new reachability_game_succ_iterator(pg_, *state);
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}
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std::string reachability_game::format_state(const state* s) const
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{
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auto state = down_cast<const reachability_state*>(s);
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std::ostringstream fmt;
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bool first = true;
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fmt << state->num() << ", ";
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fmt << '[';
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for (unsigned b : state->b())
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{
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if (!first)
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fmt << ',';
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else
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first = false;
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fmt << b;
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}
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fmt << ']';
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return fmt.str();
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}
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bool reachability_game::is_reachable()
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{
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std::set<spot::reachability_state> todo{*init_state_};
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while (!todo.empty())
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{
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spot::reachability_state v = *todo.begin();
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todo.erase(todo.begin());
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std::vector<spot::const_reachability_state_ptr> succs;
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spot::reachability_game_succ_iterator* it = succ_iter(&v);
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for (it->first(); !it->done(); it->next())
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succs.push_back(spot::const_reachability_state_ptr(it->dst()));
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if (is_target(v))
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{
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c_[v] = 1;
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if (mark(v))
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return true;
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continue;
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}
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else if (v.anke())
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c_[v] = 1;
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else
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c_[v] = succs.size();
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for (auto succ: succs)
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{
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if (parents_[*succ].empty())
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{
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if (*succ != *init_state_)
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{
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todo.insert(*succ);
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parents_[*succ] = { v };
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c_[*succ] = -1U;
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}
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}
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else
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{
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parents_[*succ].push_back(v);
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if (c_[*succ] == 0 && mark(v))
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return true;
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}
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}
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}
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return false;
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}
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bool reachability_game::mark(const spot::reachability_state& s)
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{
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if (c_[s] > 0)
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{
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--c_[s];
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if (c_[s] == 0)
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{
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if (s == *init_state_)
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return true;
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for (auto& u: parents_[s])
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if (mark(u))
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return true;
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}
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}
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return false;
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}
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bool reachability_game::is_target(const reachability_state& v)
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{
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return v.b().back();
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}
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}
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270
spot/misc/game.hh
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270
spot/misc/game.hh
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@ -0,0 +1,270 @@
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// -*- coding: utf-8 -*-
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// Copyright (C) 2017 Laboratoire de Recherche et Développement
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// 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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#pragma once
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#include <algorithm>
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#include <memory>
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#include <ostream>
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#include <vector>
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#include <bddx.h>
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#include <spot/twa/twagraph.hh>
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#include <spot/twaalgos/parity.hh>
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namespace spot
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{
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class SPOT_API parity_game
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{
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private:
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const const_twa_graph_ptr dpa_;
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const std::vector<bool> owner_;
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public:
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/// \a parity_game provides an interface to manipulate a deterministic parity
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/// automaton as a parity game, including methods to solve the game.
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///
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/// \param dpa the underlying deterministic parity automaton
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/// \param owner a vector of Booleans indicating the owner of each state,
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/// with the convention that true represents player 1 and false represents
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/// player 0.
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parity_game(const twa_graph_ptr dpa, std::vector<bool> owner)
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: dpa_(dpa), owner_(owner)
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{
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bool max;
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bool odd;
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dpa_->acc().is_parity(max, odd, true);
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SPOT_ASSERT(max && odd);
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SPOT_ASSERT(owner_.size() == dpa_->num_states());
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}
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unsigned num_states() const
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{
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return dpa_->num_states();
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}
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unsigned get_init_state_number() const
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{
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return dpa_->get_init_state_number();
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}
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internal::state_out<const twa_graph::graph_t>
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out(unsigned src) const
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{
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return dpa_->out(src);
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}
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internal::state_out<const twa_graph::graph_t>
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out(unsigned src)
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{
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return dpa_->out(src);
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}
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bool owner(unsigned src) const
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{
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return owner_[src];
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}
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/// Print the parity game in PGSolver's format.
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void print(std::ostream& os);
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/// Whether player 1 has a winning strategy from the initial state.
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/// Implements Calude et al.'s quasipolynomial time algorithm.
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/** \verbatim
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@inproceedings{calude.17.stoc,
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author = {Calude, Cristian S. and Jain, Sanjay and Khoussainov,
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Bakhadyr and Li, Wei and Stephan, Frank},
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title = {Deciding Parity Games in Quasipolynomial Time},
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booktitle = {Proceedings of the 49th Annual ACM SIGACT Symposium on
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Theory of Computing},
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series = {STOC 2017},
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year = {2017},
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isbn = {978-1-4503-4528-6},
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location = {Montreal, Canada},
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pages = {252--263},
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numpages = {12},
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url = {http://doi.acm.org/10.1145/3055399.3055409},
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doi = {10.1145/3055399.3055409},
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acmid = {3055409},
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publisher = {ACM},
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address = {New York, NY, USA},
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keywords = {Muller Games, Parity Games, Quasipolynomial Time Algorithm},
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}
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\endverbatim */
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bool solve_qp() const;
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};
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class reachability_state: public state
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{
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private:
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unsigned num_;
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std::vector<unsigned> b_;
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bool anke_;
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public:
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reachability_state(unsigned state, const std::vector<unsigned>& b,
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bool anke)
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: num_(state), b_(b), anke_(anke)
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{
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}
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int compare(const state* other) const override;
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bool operator==(const reachability_state& o) const
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{
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return compare(&o) == 0;
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}
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bool operator!=(const reachability_state& o) const
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{
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return compare(&o) != 0;
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}
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bool operator<(const reachability_state& o) const;
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size_t hash() const override
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{
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size_t hash = wang32_hash(num_);
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for (unsigned i = 0; i < b_.size(); ++i)
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hash ^= wang32_hash(b_[i]) ^ wang32_hash(i);
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return hash;
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}
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reachability_state* clone() const override
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{
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return new reachability_state(*this);
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}
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std::vector<unsigned> b() const
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{
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return b_;
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}
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unsigned num() const
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{
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return num_;
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}
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bool anke() const
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{
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return anke_;
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}
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};
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typedef std::shared_ptr<const reachability_state>
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const_reachability_state_ptr;
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struct reachability_state_hash
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{
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size_t operator()(const reachability_state& state) const
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{
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return state.hash();
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}
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};
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class reachability_game_succ_iterator final: public twa_succ_iterator
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{
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private:
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const parity_game& pg_;
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const reachability_state& state_;
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internal::edge_iterator<const twa_graph::graph_t> it_;
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public:
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reachability_game_succ_iterator(const parity_game& pg,
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const reachability_state& s)
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: pg_(pg), state_(s)
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{
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}
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bool first() override
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{
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it_ = pg_.out(state_.num()).begin();
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return it_ != pg_.out(state_.num()).end();
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}
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bool next() override
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{
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++it_;
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return it_ != pg_.out(state_.num()).end();
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}
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bool done() const override
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{
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return it_ == pg_.out(state_.num()).end();
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}
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const reachability_state* dst() const override;
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bdd cond() const override
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{
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return bddtrue;
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}
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acc_cond::mark_t acc() const override
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{
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return 0;
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}
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};
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// On-the-fly reachability game interface for a max even parity game such
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// that a target is reachable iff there is a memoryless winning strategy
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// in the parity game for player 1.
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class reachability_game final: public twa
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{
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private:
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typedef std::unordered_map<spot::reachability_state, unsigned,
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spot::reachability_state_hash> wincount_t;
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typedef std::unordered_map<spot::reachability_state,
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std::vector<spot::reachability_state>,
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spot::reachability_state_hash> parents_t;
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const parity_game& pg_;
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// number of successors that need to have a winning strategy in order for
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// a given node to have a winning strategy.
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wincount_t c_;
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parents_t parents_;
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const_reachability_state_ptr init_state_; // cache
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public:
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reachability_game(const parity_game& pg)
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: twa(std::make_shared<bdd_dict>()),
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pg_(pg)
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{
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init_state_ = std::shared_ptr<const reachability_state>(get_init_state());
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}
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const reachability_state* get_init_state() const override;
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reachability_game_succ_iterator* succ_iter(const state* s) const override;
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std::string format_state(const state* s) const override;
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bool is_reachable();
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private:
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bool mark(const spot::reachability_state& s);
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bool is_target(const reachability_state& s);
|
||||
|
||||
};
|
||||
|
||||
}
|
||||
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Add table
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Reference in a new issue