Implement to_weak_alternating() which weakifies tgbas
* NEWS: mention the modification. * python/spot/impl.i: makes to_weak_alternating visible from python * spot/twaalgos/Makefile.am, spot/twaalgos/toweak.cc, spot/twaalgos/toweak.hh: Implements to_weak_alternating. * tests/Makefile.am, tests/python/toweak.py: Test the results of to_weak_alternating.
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spot/twaalgos/toweak.cc
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228
spot/twaalgos/toweak.cc
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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 <spot/misc/bddlt.hh>
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#include <spot/misc/minato.hh>
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#include <spot/twa/twagraph.hh>
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#include <spot/twaalgos/dualize.hh>
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#include <spot/twaalgos/strength.hh>
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#include <spot/twaalgos/toweak.hh>
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#include <queue>
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#include <functional>
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namespace spot
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{
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namespace
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{
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struct rc_state
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{
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unsigned id;
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unsigned rank;
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acc_cond::mark_t mark;
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rc_state(unsigned state_id, unsigned state_rank, acc_cond::mark_t m = 0U)
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: id(state_id), rank(state_rank), mark(m)
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{
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}
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};
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struct rc_state_hash
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{
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size_t
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operator()(const rc_state& s) const
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{
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using std::hash;
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return ((hash<int>()(s.id)
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^ (hash<int>()(s.rank)))
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^ (hash<int>()(s.mark.id)));
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}
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};
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struct rc_state_equal
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{
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size_t
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operator()(const rc_state& left, const rc_state& right) const
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{
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return left.id == right.id
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&& left.rank == right.rank
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&& left.mark == right.mark;
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}
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};
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class to_weak
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{
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private:
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const const_twa_graph_ptr aut_;
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const unsigned numsets_;
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std::unordered_map<rc_state,
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unsigned,
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rc_state_hash,
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rc_state_equal> state_map_;
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std::vector<bdd> state_to_var_;
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std::unordered_map<bdd, unsigned, spot::bdd_hash> var_to_state_;
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bdd all_states_;
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twa_graph_ptr res_;
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std::queue<rc_state> todo_;
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bool less_;
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unsigned new_state(unsigned st, unsigned rank, acc_cond::mark_t mark)
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{
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rc_state s(st, rank, mark);
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auto p = state_map_.emplace(s, 0);
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if (p.second)
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{
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p.first->second = res_->new_state();
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todo_.emplace(s);
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int v = aut_->get_dict()->register_anonymous_variables(1, this);
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bdd var = bdd_ithvar(v);
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all_states_ &= var;
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state_to_var_.push_back(var);
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var_to_state_.emplace(var, p.first->second);
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}
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return p.first->second;
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};
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bdd transition_function(rc_state st)
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{
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unsigned id = st.id;
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unsigned rank = st.rank;
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bdd res = bddfalse;
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bool rank_odd = rank % 2;
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for (auto& e : aut_->out(id))
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{
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// If we are on odd level and the edge is marked with the set we
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// don't want to see, skip. (delete transition).
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if (rank_odd && (e.acc & st.mark))
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continue;
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bdd dest = bddtrue;
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for (unsigned d : aut_->univ_dests(e.dst))
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{
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bdd levels = bddfalse;
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int curr = static_cast<int>(rank);
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// We must always be able to go to the previous even rank
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int lower = less_ ? ((curr - 1) & ~1) : 0;
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for (int i = curr; i >= lower; --i)
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{
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if (i % 2)
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for (unsigned m = 0; m < numsets_; ++m)
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levels |= state_to_var_[new_state(d, i, {m})];
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else
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levels |= state_to_var_[new_state(d, i, 0U)];
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}
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dest &= levels;
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}
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res |= (dest & e.cond);
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}
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return res;
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}
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public:
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to_weak(const const_twa_graph_ptr& aut, bool less)
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: aut_(aut),
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numsets_(aut_->num_sets()),
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all_states_(bddtrue),
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res_(make_twa_graph(aut_->get_dict())),
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less_(less)
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{
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res_->copy_ap_of(aut_);
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res_->set_buchi();
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res_->prop_weak(true);
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}
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~to_weak()
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{
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aut_->get_dict()->unregister_all_my_variables(this);
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}
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twa_graph_ptr run()
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{
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std::vector<unsigned> states;
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for (unsigned d: aut_->univ_dests(aut_->get_init_state_number()))
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states.push_back(new_state(d, aut_->num_states() * 2, 0U));
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res_->set_univ_init_state(states.begin(), states.end());
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while (!todo_.empty())
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{
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rc_state st = todo_.front();
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acc_cond::mark_t mark = 0U;
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if (st.rank % 2)
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mark = {0};
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bdd delta = transition_function(st);
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bdd ap = bdd_exist(bdd_support(delta), all_states_);
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bdd letters = bdd_exist(delta, all_states_);
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while (letters != bddfalse)
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{
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bdd oneletter = bdd_satoneset(letters, ap, bddtrue);
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letters -= oneletter;
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minato_isop isop(delta & oneletter);
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bdd cube;
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while ((cube = isop.next()) != bddfalse)
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{
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bdd cond = bdd_exist(cube, all_states_);
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bdd dest = bdd_existcomp(cube, all_states_);
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states.clear();
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while (dest != bddtrue)
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{
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assert(bdd_low(dest) == bddfalse);
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bdd v = bdd_ithvar(bdd_var(dest));
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auto it = var_to_state_.find(v);
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assert(it != var_to_state_.end());
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states.push_back(it->second);
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dest = bdd_high(dest);
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}
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res_->new_univ_edge(new_state(st.id, st.rank, st.mark),
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states.begin(), states.end(),
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cond, mark);
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}
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}
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todo_.pop();
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}
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res_->merge_edges();
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return res_;
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}
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};
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}
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twa_graph_ptr to_weak_alternating(const_twa_graph_ptr& aut, bool less)
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{
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if (is_weak_automaton(aut))
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return make_twa_graph(aut, twa::prop_set::all());
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/* The current implementation of is_inherently_weak does not support
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alternating automata. In case the input automaton is inherently weak,
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it can be easily transformed to weak without the need to call to_weak
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*/
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if (aut->acc().is_generalized_buchi())
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return dualize(to_weak(dualize(aut), less).run());
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else if (aut->acc().is_generalized_co_buchi())
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return to_weak(aut, less).run();
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throw std::runtime_error("to_weak_alternating does only support gen. Büchi"
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" and gen. co-Büchi automata.");
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}
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}
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