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get rid of tgba_tba_proxy

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Replace it by a new degeneralize_tba(), that use the same tricks as
degeneralize().

* src/tgba/tgbatba.cc, src/tgba/tgbatba.hh: Delete.
* src/tgba/Makefile.am: Adjust.
* src/tgbaalgos/degen.cc, src/tgbaalgos/degen.hh: Implement
a degeneralize_tba() function sharing its code
with degeneralize().
* src/tgbatest/ltl2tgba.cc: Rename -D to -DT so that we can pass it the
same option as -DS.
* src/tgbatest/degenid.test, src/tgbatest/emptchk.test,
src/tgbatest/emptchke.test, src/tgbatest/ltlcounter.test,
src/tgbatest/ltlcross.test, src/tgbatest/spotlbtt.test,
src/tgbatest/ltl2tgba.test: Adjust.
* src/tgbatest/det.test, src/tgbatest/emptchk.test: Adjust numbers to
the smaller output.
* src/saba/sabacomplementtgba.cc, src/saba/sabacomplementtgba.hh,
src/tgbaalgos/minimize.cc, src/tgbaalgos/neverclaim.cc,
src/tgbaalgos/neverclaim.hh, src/tgbaalgos/postproc.cc,
src/tgbatest/randtgba.cc, src/tgbatest/complementation.cc,
wrap/python/spot.i, wrap/python/tests/ltl2tgba.py,
src/sabatest/sabacomplementtgba.cc: Adjust to the removal
of tgba_tba_proxy, using degeneralize_tba() if needed.
This commit is contained in:
Alexandre Duret-Lutz 2014-08-12 13:32:32 +02:00
parent e9893586cc
commit 5739240c0f
25 changed files with 488 additions and 1090 deletions
Download patch file Download diff file Expand all files Collapse all files

1
src/saba/sabacomplementtgba.cc
View file

@ -24,6 +24,7 @@
#include <tgba/bddprint.hh> #include <tgba/bddprint.hh>
#include <tgba/state.hh> #include <tgba/state.hh>
#include "misc/hash.hh" #include "misc/hash.hh"
#include "misc/bddlt.hh"
#include "tgbaalgos/degen.hh" #include "tgbaalgos/degen.hh"
#include "tgbaalgos/bfssteps.hh" #include "tgbaalgos/bfssteps.hh"
#include "misc/hashfunc.hh" #include "misc/hashfunc.hh"

3
src/saba/sabacomplementtgba.hh
View file

@ -20,11 +20,12 @@
#define SPOT_SABA_SABACOMPLEMENTTGBA_HH #define SPOT_SABA_SABACOMPLEMENTTGBA_HH
#include <tgba/tgba.hh> #include <tgba/tgba.hh>
#include <tgba/tgbatba.hh>
#include "saba.hh" #include "saba.hh"
namespace spot namespace spot
{ {
class tgba_digraph;
/// \ingroup saba /// \ingroup saba
/// \brief Complement a TGBA and produce a SABA. /// \brief Complement a TGBA and produce a SABA.
/// ///

5
src/sabatest/sabacomplementtgba.cc
View file

@ -1,6 +1,6 @@
// -*- coding: utf-8 -*- // -*- coding: utf-8 -*-
// Copyright (C) 2009, 2012 Laboratoire de Recherche et Développement // Copyright (C) 2009, 2012, 2014 Laboratoire de Recherche et
// de l'Epita (LRDE). // Développement de l'Epita (LRDE).
// //
// This file is part of Spot, a model checking library. // This file is part of Spot, a model checking library.
// //
@ -24,7 +24,6 @@
#include <saba/sabacomplementtgba.hh> #include <saba/sabacomplementtgba.hh>
#include <tgba/tgba.hh> #include <tgba/tgba.hh>
#include <tgbaparse/public.hh> #include <tgbaparse/public.hh>
#include <tgba/tgbatba.hh>
#include <sabaalgos/sabadotty.hh> #include <sabaalgos/sabadotty.hh>
#include <tgbaalgos/ltl2tgba_fm.hh> #include <tgbaalgos/ltl2tgba_fm.hh>
#include <ltlparse/public.hh> #include <ltlparse/public.hh>

2
src/tgba/Makefile.am
View file

@ -42,7 +42,6 @@ tgba_HEADERS = \
tgbaproduct.hh \ tgbaproduct.hh \
tgbasgba.hh \ tgbasgba.hh \
tgbasafracomplement.hh \ tgbasafracomplement.hh \
tgbatba.hh \
tgbaunion.hh \ tgbaunion.hh \
wdbacomp.hh wdbacomp.hh
@ -61,6 +60,5 @@ libtgba_la_SOURCES = \
tgbasafracomplement.cc \ tgbasafracomplement.cc \
tgbascc.cc \ tgbascc.cc \
tgbasgba.cc \ tgbasgba.cc \
tgbatba.cc \
tgbaunion.cc \ tgbaunion.cc \
wdbacomp.cc wdbacomp.cc

542
src/tgba/tgbatba.cc
View file

@ -1,542 +0,0 @@
// -*- coding: utf-8 -*-
// Copyright (C) 2010, 2011, 2012, 2013, 2014 Laboratoire de Recherche
// et Développement de l'Epita.
// Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de Paris
// 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
// Université Pierre et Marie Curie.
//
// This file is part of Spot, a model checking library.
//
// Spot is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 3 of the License, or
// (at your option) any later version.
//
// Spot is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
// or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
// License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
#include <cassert>
#include "tgbatba.hh"
#include "bddprint.hh"
#include "ltlast/constant.hh"
#include "misc/hashfunc.hh"
namespace spot
{
namespace
{
/// \brief A state for spot::tgba_tba_proxy.
///
/// This state is in fact a pair of states: the state from the tgba
/// automaton, and a state of the "counter" (we use a pointer
/// to the position in the cycle_acc_ list).
class state_tba_proxy: public state
{
typedef tgba_tba_proxy::cycle_list::const_iterator iterator;
public:
state_tba_proxy(state* s, iterator acc)
: s_(s), acc_(acc)
{
}
// Note: There is a default copy constructor, needed by
// std::unordered_set. It does not clone the state "s", because the
// destructor will not destroy it either. Actually, the states
// are all destroyed in the tgba_tba_proxy destructor.
virtual
~state_tba_proxy()
{
}
void
destroy() const
{
}
state*
real_state() const
{
return s_;
}
bdd
acceptance_cond() const
{
return *acc_;
}
iterator
acceptance_iterator() const
{
return acc_;
}
virtual int
compare(const state* other) const
{
const state_tba_proxy* o = down_cast<const state_tba_proxy*>(other);
assert(o);
// Do not simply return "o - this", it might not fit in an int.
if (o < this)
return -1;
if (o > this)
return 1;
return 0;
}
virtual size_t
hash() const
{
return wang32_hash(s_->hash()) ^ wang32_hash(acc_->id());
}
virtual
state_tba_proxy* clone() const
{
return const_cast<state_tba_proxy*>(this);
}
private:
state* s_;
iterator acc_;
};
struct state_tba_proxy_hash
{
size_t
operator()(const state_tba_proxy& s) const
{
return s.state_tba_proxy::hash();
}
};
struct state_tba_proxy_equal
{
bool
operator()(const state_tba_proxy& left,
const state_tba_proxy& right) const
{
if (left.acceptance_iterator() != right.acceptance_iterator())
return false;
return left.real_state()->compare(right.real_state()) == 0;
}
};
typedef std::unordered_set<state_tba_proxy,
state_tba_proxy_hash,
state_tba_proxy_equal> uniq_map_t;
typedef std::pair<const state_tba_proxy*, bool> state_ptr_bool_t;
struct state_ptr_bool_hash:
public std::unary_function<const state_ptr_bool_t&,
size_t>
{
size_t
operator()(const state_ptr_bool_t& s) const
{
if (s.second)
return s.first->hash() ^ 12421;
else
return s.first->hash();
}
};
struct state_ptr_bool_equal:
public std::binary_function<const state_ptr_bool_t&,
const state_ptr_bool_t&, bool>
{
bool
operator()(const state_ptr_bool_t& left,
const state_ptr_bool_t& right) const
{
if (left.second != right.second)
return false;
return left.first->compare(right.first) == 0;
}
};
/// \brief Iterate over the successors of tgba_tba_proxy computed
/// on the fly.
class tgba_tba_proxy_succ_iterator: public tgba_succ_iterator
{
typedef tgba_tba_proxy::cycle_list list;
typedef tgba_tba_proxy::cycle_list::const_iterator iterator;
public:
tgba_tba_proxy_succ_iterator(tgba::succ_iterable&& iterable,
iterator expected,
const list& cycle,
bdd the_acceptance_cond,
const tgba_tba_proxy* aut)
: the_acceptance_cond_(the_acceptance_cond)
{
recycle(std::move(iterable), expected, cycle, aut);
}
void recycle(tgba::succ_iterable&& iterable,
iterator expected,
const list& cycle,
const tgba_tba_proxy* aut)
{
if (!transmap_.empty())
{
translist_.clear();
transmap_.clear();
}
for (auto it: iterable)
{
bool accepting;
bdd acc = it->current_acceptance_conditions();
// As an extra optimization step, gather the acceptance
// conditions common to all outgoing transitions of the
// destination state. We will later add these to "acc" to
// pretend they are already present on this transition.
state* odest = it->current_state();
bdd otheracc =
aut->common_acceptance_conditions_of_original_state(odest);
// A transition in the *EXPECTED acceptance set should
// be directed to the next acceptance set. If the
// current transition is also in the next acceptance
// set, then go to the one after, etc.
//
// See Denis Oddoux's PhD thesis for a nice
// explanation (in French).
// @PhDThesis{ oddoux.03.phd,
// author = {Denis Oddoux},
// title = {Utilisation des automates alternants pour un
// model-checking efficace des logiques
// temporelles lin{\'e}aires.},
// school = {Universit{\'e}e Paris 7},
// year = {2003},
// address= {Paris, France},
// month = {December}
// }
iterator next = expected;
// Consider both the current acceptance sets, and the
// acceptance sets common to the outgoing transition of
// the destination state.
acc |= otheracc;
while (next != cycle.end() && bdd_implies(*next, acc))
++next;
if (next != cycle.end())
{
accepting = false;
}
else
{
// The transition is accepting.
accepting = true;
// Skip as much acceptance conditions as we can on our cycle.
next = cycle.begin();
while (next != expected && bdd_implies(*next, acc))
++next;
}
state_tba_proxy* dest =
down_cast<state_tba_proxy*>(aut->create_state(odest, next));
// Is DEST already reachable with the same value of ACCEPTING?
state_ptr_bool_t key(dest, accepting);
transmap_t::iterator id = transmap_.find(key);
if (id == transmap_.end()) // No
{
mapit_t pos =
transmap_.emplace(key, it->current_condition()).first;
// Keep the order of the transitions in the
// degeneralized automaton related to the order of the
// transitions in the input automaton: in the past we
// used to simply iterate over transmap_ in whatever
// order the transitions were stored, but the output
// would change between different runs depending on
// the memory address of the states. Now we keep the
// order using translist_. We only arrange it
// slightly so that accepting transitions come first:
// this way they are processed early during
// emptiness-check.
if (accepting)
translist_.push_front(pos);
else
translist_.push_back(pos);
}
else // Yes, combine labels.
{
id->second |= it->current_condition();
dest->destroy();
}
}
}
virtual
~tgba_tba_proxy_succ_iterator()
{
}
// iteration
bool
first()
{
it_ = translist_.begin();
return it_ != translist_.end();
}
bool
next()
{
++it_;
return it_ != translist_.end();
}
bool
done() const
{
return it_ == translist_.end();
}
// inspection
state_tba_proxy*
current_state() const
{
return (*it_)->first.first->clone();
}
bdd
current_condition() const
{
return (*it_)->second;
}
bdd
current_acceptance_conditions() const
{
return (*it_)->first.second ? the_acceptance_cond_ : bddfalse;
}
protected:
const bdd the_acceptance_cond_;
typedef std::unordered_map<state_ptr_bool_t, bdd,
state_ptr_bool_hash,
state_ptr_bool_equal> transmap_t;
transmap_t transmap_;
typedef transmap_t::const_iterator mapit_t;
typedef std::list<mapit_t> translist_t;
translist_t translist_;
translist_t::const_iterator it_;
};
} // anonymous
tgba_tba_proxy::tgba_tba_proxy(const tgba* a)
: a_(a), uniq_map_(new uniq_map_t)
{
// We will use one acceptance condition for this automata.
// Let's call it Acc[True].
bdd_dict* d = get_dict();
d->register_all_variables_of(a, this);
d->unregister_all_typed_variables(bdd_dict::acc, this);
int v = d
->register_acceptance_variable(ltl::constant::true_instance(), this);
the_acceptance_cond_ = bdd_ithvar(v);
if (a->number_of_acceptance_conditions() == 0)
{
acc_cycle_.push_front(bddtrue);
}
else
{
// Build a cycle of expected acceptance conditions.
//
// The order is arbitrary, but it turns out that using
// push_back instead of push_front often gives better results
// because acceptance conditions at the beginning if the
// cycle are more often used in the automaton. (This
// surprising fact is probably related to the order in which we
// declare the BDD variables during the translation.)
bdd all = a_->all_acceptance_conditions();
while (all != bddfalse)
{
bdd next = bdd_satone(all);
all -= next;
acc_cycle_.push_back(next);
}
}
}
tgba_tba_proxy::~tgba_tba_proxy()
{
get_dict()->unregister_all_my_variables(this);
accmap_t::const_iterator i = accmap_.begin();
while (i != accmap_.end())
{
// Advance the iterator before deleting the key.
const state* s = i->first;
++i;
s->destroy();
}
i = accmapu_.begin();
while (i != accmapu_.end())
{
// Advance the iterator before deleting the key.
const state* s = i->first;
++i;
s->destroy();
}
uniq_map_t* m = static_cast<uniq_map_t*>(uniq_map_);
uniq_map_t::const_iterator j = m->begin();
while (j != m->end())
{
const state* s = j->real_state();
++j;
s->destroy();
}
delete m;
// This has already been destroyed.
// Prevent destroying by tgba::~tgba.
this->last_support_conditions_input_ = 0;
}
state*
tgba_tba_proxy::create_state(state* s, cycle_list::const_iterator acc) const
{
uniq_map_t* m = static_cast<uniq_map_t*>(uniq_map_);
state_tba_proxy st(s, acc);
std::pair<uniq_map_t::iterator, bool> res = m->insert(st);
if (!res.second)
s->destroy();
return const_cast<state_tba_proxy*>(&(*res.first));
}
state*
tgba_tba_proxy::get_init_state() const
{
return create_state(a_->get_init_state(), acc_cycle_.begin());
}
tgba_succ_iterator*
tgba_tba_proxy::succ_iter(const state* st) const
{
const state_tba_proxy* s = down_cast<const state_tba_proxy*>(st);
assert(s);
const state* rs = s->real_state();
if (iter_cache_)
{
tgba_tba_proxy_succ_iterator* res =
down_cast<tgba_tba_proxy_succ_iterator*>(iter_cache_);
res->recycle(a_->succ(rs),
s->acceptance_iterator(), acc_cycle_, this);
iter_cache_ = nullptr;
return res;
}
return new tgba_tba_proxy_succ_iterator(a_->succ(rs),
s->acceptance_iterator(),
acc_cycle_, the_acceptance_cond_,
this);
}
bdd
tgba_tba_proxy::common_acceptance_conditions_of_original_state(const state* s)
const
{
// Lookup cache
accmap_t::const_iterator i = accmap_.find(s);
if (i != accmap_.end())
return i->second;
bdd common = a_->all_acceptance_conditions();
for (auto it: a_->succ(s))
{
common &= it->current_acceptance_conditions();
if (common == bddfalse)
break;
}
// Populate cache
accmap_[s->clone()] = common;
return common;
}
bdd
tgba_tba_proxy::union_acceptance_conditions_of_original_state(const state* s)
const
{
// Lookup cache
accmap_t::const_iterator i = accmapu_.find(s);
if (i != accmapu_.end())
return i->second;
bdd common = bddfalse;
for (auto it: a_->succ(s))
common |= it->current_acceptance_conditions();
// Populate cache
accmapu_[s->clone()] = common;
return common;
}
bdd_dict*
tgba_tba_proxy::get_dict() const
{
return a_->get_dict();
}
std::string
tgba_tba_proxy::format_state(const state* state) const
{
const state_tba_proxy* s = down_cast<const state_tba_proxy*>(state);
assert(s);
std::string a = bdd_format_accset(get_dict(), s->acceptance_cond());
if (a != "")
a = " " + a;
return a_->format_state(s->real_state()) + a;
}
state*
tgba_tba_proxy::project_state(const state* s, const tgba* t) const
{
const state_tba_proxy* s2 = down_cast<const state_tba_proxy*>(s);
assert(s2);
if (t == this)
return s2->clone();
return a_->project_state(s2->real_state(), t);
}
bdd
tgba_tba_proxy::all_acceptance_conditions() const
{
return the_acceptance_cond_;
}
bdd
tgba_tba_proxy::neg_acceptance_conditions() const
{
return !the_acceptance_cond_;
}
bdd
tgba_tba_proxy::compute_support_conditions(const state* state) const
{
const state_tba_proxy* s =
down_cast<const state_tba_proxy*>(state);
assert(s);
return a_->support_conditions(s->real_state());
}
}

122
src/tgba/tgbatba.hh
View file

@ -1,122 +0,0 @@
// -*- coding: utf-8 -*-
// Copyright (C) 2010, 2011, 2012, 2013, 2014 Laboratoire de Recherche
// et Développement de l'Epita.
// Copyright (C) 2003, 2004, 2006 Laboratoire d'Informatique de Paris
// 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
// Université Pierre et Marie Curie.
//
// This file is part of Spot, a model checking library.
//
// Spot is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 3 of the License, or
// (at your option) any later version.
//
// Spot is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
// or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
// License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
#ifndef SPOT_TGBA_TGBATBA_HH
# define SPOT_TGBA_TGBATBA_HH
#include <list>
#include "tgba.hh"
#include "misc/bddlt.hh"
#include "misc/hash.hh"
namespace spot
{
/// \ingroup tgba_on_the_fly_algorithms
/// \brief Degeneralize a spot::tgba on the fly, producing a TBA.
///
/// This class acts as a proxy in front of a spot::tgba, that should
/// be degeneralized on the fly. The result is still a spot::tgba,
/// but it will always have exactly one acceptance condition so
/// it could be called TBA (without the G).
///
/// The degeneralization is done by synchronizing the input
/// automaton with a "counter" automaton such as the one shown in
/// "On-the-fly Verification of Linear Temporal Logic" (Jean-Michel
/// Couveur, FME99).
///
/// If the input automaton uses N acceptance conditions, the output
/// automaton can have at most max(N,1) times more states and
/// transitions.
class SPOT_API tgba_tba_proxy : public tgba
{
public:
tgba_tba_proxy(const tgba* a);
virtual ~tgba_tba_proxy();
virtual state* get_init_state() const;
virtual tgba_succ_iterator* succ_iter(const state* state) const;
virtual bdd_dict* get_dict() const;
virtual std::string format_state(const state* state) const;
virtual state* project_state(const state* s, const tgba* t) const;
virtual bdd all_acceptance_conditions() const;
virtual bdd neg_acceptance_conditions() const;
typedef std::list<bdd> cycle_list;
/// \brief Return the acceptance conditions common to all outgoing
/// transitions of state \a ostate in the original automaton.
///
/// This internal function is only meant to be used to implement
/// the iterator returned by succ_iter.
///
/// The result of this function is computed the first time, and
/// then cached.
bdd common_acceptance_conditions_of_original_state(const state*
ostate) const;
/// \brief Return the union of acceptance conditions of all outgoing
/// transitions of state \a ostate in the original automaton.
///
/// This internal function is only meant to be used to implement
/// the iterator returned by succ_iter.
///
/// The result of this function is computed the first time, and
/// then cached.
bdd union_acceptance_conditions_of_original_state(const state* s) const;
/// \brief Create a degeneralized state using the unicity table.
///
/// This is an internal function. \a s should be a fresh state
/// from the source automaton.
state* create_state(state* s, cycle_list::const_iterator acc) const;
protected:
virtual bdd compute_support_conditions(const state* state) const;
cycle_list acc_cycle_;
const tgba* a_;
private:
bdd the_acceptance_cond_;
typedef std::unordered_map<const state*, bdd,
state_ptr_hash, state_ptr_equal> accmap_t;
mutable accmap_t accmap_;
mutable accmap_t accmapu_;
/// Unicity table for degeneralized states. See create_state()
mutable void* uniq_map_;
// Disallow copy.
tgba_tba_proxy(const tgba_tba_proxy&) SPOT_DELETED;
tgba_tba_proxy& operator=(const tgba_tba_proxy&) SPOT_DELETED;
};
}
#endif // SPOT_TGBA_TGBATBA_HH

747
src/tgbaalgos/degen.cc
View file

@ -249,363 +249,408 @@ namespace spot
i->second.print(i->first, dict); i->second.print(i->first, dict);
} }
}; };
template<bool want_sba>
tgba_digraph*
degeneralize_aux(const tgba* a, bool use_z_lvl, bool use_cust_acc_orders,
int use_lvl_cache, bool skip_levels)
{
bool use_scc = use_lvl_cache || use_cust_acc_orders || use_z_lvl;
bdd_dict* dict = a->get_dict();
// The result automaton is an SBA.
auto res = new tgba_digraph(dict);
if (want_sba)
res->set_bprop(tgba_digraph::StateBasedAcc);
// We use the same BDD variables as the input, except for the
// acceptance.
dict->register_all_variables_of(a, res);
dict->unregister_all_typed_variables(bdd_dict::acc, res);
// Invent a new acceptance set for the degeneralized automaton.
int accvar =
dict->register_acceptance_variable(ltl::constant::true_instance(), res);
bdd degen_acc = bdd_ithvar(accvar);
res->set_acceptance_conditions(degen_acc);
// Create an order of acceptance conditions. Each entry in this
// vector correspond to an acceptance set. Each index can
// be used as a level in degen_state to indicate the next expected
// acceptance set. Level order.size() is a special level used to
// denote accepting states.
std::vector<bdd> order;
{
// The order is arbitrary, but it turns out that using push_back
// instead of push_front often gives better results because
// acceptance sets at the beginning if the cycle are more often
// used in the automaton. (This surprising fact is probably
// related to the order in which we declare the BDD variables
// during the translation.)
bdd all = a->all_acceptance_conditions();
while (all != bddfalse)
{
bdd next = bdd_satone(all);
all -= next;
order.push_back(next);
}
}
// Initialize scc_orders
bdd allacc = a->all_acceptance_conditions();
scc_orders orders(a->all_acceptance_conditions(), skip_levels);
// Make sure we always use the same pointer for identical states
// from the input automaton.
state_unicity_table uniq;
// Accepting loop checker, for some heuristics.
has_acc_loop acc_loop(a, uniq);
// These maps make it possible to convert degen_state to number
// and vice-versa.
ds2num_map ds2num;
// This map is used to find transitions that go to the same
// destination with the same acceptance. The integer key is
// (dest*2+acc) where dest is the destination state number, and
// acc is 1 iff the transition is accepting. The source
// is always that of the current iteration.
typedef std::map<int, unsigned> tr_cache_t;
tr_cache_t tr_cache;
// State level cache
typedef std::map<const state*, unsigned> lvl_cache_t;
lvl_cache_t lvl_cache;
// Compute SCCs in order to use any optimization.
scc_map m(a);
if (use_scc)
m.build_map();
// Cache for common outgoing acceptances.
outgoing_acc outgoing(a, use_scc ? &m : 0);
queue_t todo;
const state* s0 = uniq(a->get_init_state());
degen_state s(s0, 0);
// As a heuristic for building SBA, if the initial state has at
// least one accepting self-loop, start the degeneralization on
// the accepting level.
if (want_sba && acc_loop.check(s0))
s.second = order.size();
// Otherwise, check for acceptance conditions common to all
// outgoing transitions, and assume we have already seen these and
// start on the associated level.
if (s.second == 0)
{
bdd acc = outgoing.common_acc(s.first);
if (use_cust_acc_orders)
s.second = orders.next_level(m.initial(), s.second, acc);
else
while (s.second < order.size() && bdd_implies(order[s.second], acc))
{
++s.second;
if (!skip_levels)
break;
}
// There is not accepting level for TBA, let reuse level 0.
if (!want_sba && s.second == order.size())
s.second = 0;
}
ds2num[s] = res->new_state();
todo.push_back(s);
// If use_lvl_cache is on insert initial state to level cache
// Level cache stores first encountered level for each state.
// When entering an SCC first the lvl_cache is checked.
// If such state exists level from chache is used.
// If not, a new level (starting with 0) is computed.
if (use_lvl_cache)
lvl_cache[s.first] = s.second;
while (!todo.empty())
{
s = todo.front();
todo.pop_front();
int src = ds2num[s];
unsigned slevel = s.second;
// If we have a state on the last level, it should be accepting.
bool is_acc = slevel == order.size();
// On the accepting level, start again from level 0.
if (want_sba && is_acc)
slevel = 0;
// Check SCC for state s
int s_scc = -1;
if (use_scc)
s_scc = m.scc_of_state(s.first);
for (auto i: a->succ(s.first))
{
degen_state d(uniq(i->current_state()), 0);
// Check whether the target SCC is accepting
bool is_scc_acc;
int scc;
if (use_scc)
{
scc = m.scc_of_state(d.first);
is_scc_acc = m.accepting(scc);
}
else
{
// If we have no SCC information, treat all SCCs as
// accepting.
scc = -1;
is_scc_acc = true;
}
// The old level is slevel. What should be the new one?
bdd acc = i->current_acceptance_conditions();
bdd otheracc = outgoing.common_acc(d.first);
if (want_sba && is_acc)
{
// Ignore the last expected acceptance set (the value of
// *prev below) if it is common to all other outgoing
// transitions (of the current state) AND if it is not
// used by any outgoing transition of the destination
// state.
//
// 1) It's correct to do that, because this acceptance
// set is common to other outgoing transitions.
// Therefore if we make a cycle to this state we
// will eventually see that acceptance set thanks
// to the "pulling" of the common acceptance sets
// of the destination state (d.first).
//
// 2) It's also desirable because it makes the
// degeneralization idempotent (up to a renaming
// of states). Consider the following automaton
// where 1 is initial and => marks accepting
// transitions: 1=>1, 1=>2, 2->2, 2->1. This is
// already an SBA, with 1 as accepting state.
// However if you try degeralize it without
// ignoring *prev, you'll get two copies of state
// 2, depending on whether we reach it using 1=>2
// or from 2->2. If this example was not clear,
// play with the "degenid.test" test case.
//
// 3) Ignoring all common acceptance sets would also
// be correct, but it would make the
// degeneralization produce larger automata in some
// cases. The current condition to ignore only one
// acceptance set if is this not used by the next
// state is a heuristic that is compatible with
// point 2) above while not causing more states to
// be generated in our benchmark of 188 formulae
// from the literature.
if (!order.empty())
{
unsigned prev = order.size() - 1;
bdd common = outgoing.common_acc(s.first);
if (bdd_implies(order[prev], common))
{
bdd u = outgoing.union_acc(d.first);
if (!bdd_implies(order[prev], u))
acc -= order[prev];
}
}
}
// A transition in the SLEVEL acceptance set should
// be directed to the next acceptance set. If the
// current transition is also in the next acceptance
// set, then go to the one after, etc.
//
// See Denis Oddoux's PhD thesis for a nice
// explanation (in French).
// @PhDThesis{ oddoux.03.phd,
// author = {Denis Oddoux},
// title = {Utilisation des automates alternants pour un
// model-checking efficace des logiques
// temporelles lin{\'e}aires.},
// school = {Universit{\'e}e Paris 7},
// year = {2003},
// address= {Paris, France},
// month = {December}
// }
if (is_scc_acc)
{
// If lvl_cache is used and switching SCCs, use level
// from cache
if (use_lvl_cache && s_scc != scc
&& lvl_cache.find(d.first) != lvl_cache.end())
{
d.second = lvl_cache[d.first];
}
else
{
// Complete (or replace) the acceptance sets of
// this link with the acceptance sets common to
// all transitions leaving the destination state.
if (s_scc == scc)
acc |= otheracc;
else
acc = otheracc;
// If use_z_lvl is on, start with level zero 0 when
// swhitching SCCs
unsigned next = (!use_z_lvl || s_scc == scc) ? slevel : 0;
// If using custom acc orders, get next level
// for this scc
if (use_cust_acc_orders)
{
d.second = orders.next_level(scc, next, acc);
}
// Else compute level according the global acc order
else
{
// As a heuristic, if we enter the SCC on a
// state that has at least one accepting
// self-loop, start the degeneralization on
// the accepting level.
if (s_scc != scc && acc_loop.check(d.first))
{
d.second = order.size();
}
else
{
// Consider both the current acceptance
// sets, and the acceptance sets common to
// the outgoing transitions of the
// destination state. But don't do
// that if the state is accepting and we
// are not skipping levels.
if (skip_levels || !is_acc)
while (next < order.size()
&& bdd_implies(order[next], acc))
{
++next;
if (!skip_levels)
break;
}
d.second = next;
}
}
}
}
// In case we are building a TBA is_acc has to be
// set differently for each transition, and
// we do not need to stay use final level.
if (!want_sba)
{
is_acc = d.second == order.size();
if (is_acc) // The transition is accepting
{
d.second = 0; // Make it go to the first level.
// Skip levels as much as possible.
if (acc != allacc && !skip_levels)
{
if (use_cust_acc_orders)
{
d.second = orders.next_level(scc, d.second, acc);
}
else
{
while (d.second < order.size() &&
bdd_implies(order[d.second], acc))
++d.second;
}
}
}
}
// Have we already seen this destination?
int dest;
ds2num_map::const_iterator di = ds2num.find(d);
if (di != ds2num.end())
{
dest = di->second;
}
else
{
dest = res->new_state();
ds2num[d] = dest;
todo.push_back(d);
// Insert new state to cache
if (use_lvl_cache)
{
auto res = lvl_cache.emplace(d.first, d.second);
if (!res.second)
{
if (use_lvl_cache == 3)
res.first->second =
std::max(res.first->second, d.second);
else if (use_lvl_cache == 2)
res.first->second =
std::min(res.first->second, d.second);
}
}
}
unsigned& t = tr_cache[dest * 2 + is_acc];
if (t == 0)
{
// Actually create the transition. If the source
// state is accepting, we have to put degen_acc on all
// outgoing transitions. (We are still building a
// TGBA; we only assure that it can be used as an
// SBA.)
bdd acc = bddfalse;
if (is_acc)
acc = degen_acc;
t = res->new_transition(src, dest,
i->current_condition(), acc);
}
else
{
res->trans_data(t).cond |= i->current_condition();
}
}
tr_cache.clear();
}
#ifdef DEGEN_DEBUG
std::vector<bdd>::iterator i;
std::cout << "Orig. order: \t";
for (i = order.begin(); i != order.end(); i++)
{
bdd_print_acc(std::cout, dict, *i);
std::cout << ", ";
}
std::cout << std::endl;
orders.print(dict);
#endif
res->merge_transitions();
return res;
}
} }
tgba_digraph* tgba_digraph*
degeneralize(const tgba* a, bool use_z_lvl, bool use_cust_acc_orders, degeneralize(const tgba* a, bool use_z_lvl, bool use_cust_acc_orders,
int use_lvl_cache, bool skip_levels) int use_lvl_cache, bool skip_levels)
{ {
bool use_scc = use_lvl_cache || use_cust_acc_orders || use_z_lvl; return degeneralize_aux<true>(a, use_z_lvl, use_cust_acc_orders,
use_lvl_cache, skip_levels);
}
bdd_dict* dict = a->get_dict(); tgba_digraph*
degeneralize_tba(const tgba* a, bool use_z_lvl, bool use_cust_acc_orders,
// The result automaton is an SBA. int use_lvl_cache, bool skip_levels)
auto res = new tgba_digraph(dict); {
res->set_bprop(tgba_digraph::SBA); return degeneralize_aux<false>(a, use_z_lvl, use_cust_acc_orders,
use_lvl_cache, skip_levels);
// We use the same BDD variables as the input, except for the
// acceptance.
dict->register_all_variables_of(a, res);
dict->unregister_all_typed_variables(bdd_dict::acc, res);
// Invent a new acceptance set for the degeneralized automaton.
int accvar =
dict->register_acceptance_variable(ltl::constant::true_instance(), res);
bdd degen_acc = bdd_ithvar(accvar);
res->set_acceptance_conditions(degen_acc);
// Create an order of acceptance conditions. Each entry in this
// vector correspond to an acceptance set. Each index can
// be used as a level in degen_state to indicate the next expected
// acceptance set. Level order.size() is a special level used to
// denote accepting states.
std::vector<bdd> order;
{
// The order is arbitrary, but it turns out that using push_back
// instead of push_front often gives better results because
// acceptance sets at the beginning if the cycle are more often
// used in the automaton. (This surprising fact is probably
// related to the order in which we declare the BDD variables
// during the translation.)
bdd all = a->all_acceptance_conditions();
while (all != bddfalse)
{
bdd next = bdd_satone(all);
all -= next;
order.push_back(next);
}
}
// Initialize scc_orders
scc_orders orders(a->all_acceptance_conditions(), skip_levels);
// Make sure we always use the same pointer for identical states
// from the input automaton.
state_unicity_table uniq;
// Accepting loop checker, for some heuristics.
has_acc_loop acc_loop(a, uniq);
// These maps make it possible to convert degen_state to number
// and vice-versa.
ds2num_map ds2num;
// This map is used to find transitions that go to the same
// destination with the same acceptance. The integer key is
// (dest*2+acc) where dest is the destination state number, and
// acc is 1 iff the transition is accepting. The source
// is always that of the current iteration.
typedef std::map<int, unsigned> tr_cache_t;
tr_cache_t tr_cache;
// State level cache
typedef std::map<const state*, unsigned> lvl_cache_t;
lvl_cache_t lvl_cache;
// Compute SCCs in order to use any optimization.
scc_map m(a);
if (use_scc)
m.build_map();
// Cache for common outgoing acceptances.
outgoing_acc outgoing(a, use_scc ? &m : 0);
queue_t todo;
const state* s0 = uniq(a->get_init_state());
degen_state s(s0, 0);
// As an heuristic, if the initial state at least one accepting
// self-loop, start the degeneralization on the accepting level.
if (acc_loop.check(s0))
s.second = order.size();
// Otherwise, check for acceptance conditions common to all
// outgoing transitions, and assume we have already seen these and
// start on the associated level.
if (s.second == 0)
{
bdd acc = outgoing.common_acc(s.first);
if (use_cust_acc_orders)
s.second = orders.next_level(m.initial(), s.second, acc);
else
while (s.second < order.size() && bdd_implies(order[s.second], acc))
{
++s.second;
if (!skip_levels)
break;
}
}
ds2num[s] = res->new_state();
todo.push_back(s);
// If use_lvl_cache is on insert initial state to level cache
// Level cache stores first encountered level for each state.
// When entering an SCC first the lvl_cache is checked.
// If such state exists level from chache is used.
// If not, a new level (starting with 0) is computed.
if (use_lvl_cache)
lvl_cache[s.first] = s.second;
while (!todo.empty())
{
s = todo.front();
todo.pop_front();
int src = ds2num[s];
unsigned slevel = s.second;
// If we have a state on the last level, it should be accepting.
bool is_acc = slevel == order.size();
// On the accepting level, start again from level 0.
if (is_acc)
slevel = 0;
// Check SCC for state s
int s_scc = -1;
if (use_scc)
s_scc = m.scc_of_state(s.first);
for (auto i: a->succ(s.first))
{
degen_state d(uniq(i->current_state()), 0);
#ifdef DEGEN_DEBUG
if (names.find(d.first) == names.end())
names[d.first] = uniq.size();
#endif
// Check whether the target SCC is accepting
bool is_scc_acc;
int scc;
if (use_scc)
{
scc = m.scc_of_state(d.first);
is_scc_acc = m.accepting(scc);
}
else
{
// If we have no SCC information, treat all SCCs as
// accepting.
scc = -1;
is_scc_acc = true;
}
// The old level is slevel. What should be the new one?
bdd acc = i->current_acceptance_conditions();
bdd otheracc = outgoing.common_acc(d.first);
if (is_acc)
{
// Ignore the last expected acceptance set (the value of
// *prev below) if it is common to all other outgoing
// transitions (of the current state) AND if it is not
// used by any outgoing transition of the destination
// state.
//
// 1) It's correct to do that, because this acceptance
// set is common to other outgoing transitions.
// Therefore if we make a cycle to this state we
// will eventually see that acceptance set thanks
// to the "pulling" of the common acceptance sets
// of the destination state (d.first).
//
// 2) It's also desirable because it makes the
// degeneralization idempotent (up to a renaming of
// states). Consider the following automaton where
// 1 is initial and => marks accepting transitions:
// 1=>1, 1=>2, 2->2, 2->1 This is already an SBA,
// with 1 as accepting state. However if you try
// degeralize it without ignoring *prev, you'll get
// two copies of state 2, depending on whether we
// reach it using 1=>2 or from 2->2. If this
// example was not clear, uncomment the following
// "if" block, and play with the "degenid.test"
// test case.
//
// 3) Ignoring all common acceptance sets would also
// be correct, but it would make the
// degeneralization produce larger automata in some
// cases. The current condition to ignore only one
// acceptance set if is this not used by the next
// state is a heuristic that is compatible with
// point 2) above while not causing more states to
// be generated in our benchmark of 188 formulae
// from the literature.
if (!order.empty())
{
unsigned prev = order.size() - 1;
bdd common = outgoing.common_acc(s.first);
if (bdd_implies(order[prev], common))
{
bdd u = outgoing.union_acc(d.first);
if (!bdd_implies(order[prev], u))
acc -= order[prev];
}
}
}
// A transition in the SLEVEL acceptance set should
// be directed to the next acceptance set. If the
// current transition is also in the next acceptance
// set, then go to the one after, etc.
//
// See Denis Oddoux's PhD thesis for a nice
// explanation (in French).
// @PhDThesis{ oddoux.03.phd,
// author = {Denis Oddoux},
// title = {Utilisation des automates alternants pour un
// model-checking efficace des logiques
// temporelles lin{\'e}aires.},
// school = {Universit{\'e}e Paris 7},
// year = {2003},
// address= {Paris, France},
// month = {December}
// }
if (is_scc_acc)
{
// If lvl_cache is used and switching SCCs, use level
// from cache
if (use_lvl_cache && s_scc != scc
&& lvl_cache.find(d.first) != lvl_cache.end())
{
d.second = lvl_cache[d.first];
}
else
{
// Complete (or replace) the acceptance sets of
// this link with the acceptance sets common to
// all transitions leaving the destination state.
if (s_scc == scc)
acc |= otheracc;
else
acc = otheracc;
// If use_z_lvl is on, start with level zero 0 when
// swhitching SCCs
unsigned next = (!use_z_lvl || s_scc == scc) ? slevel : 0;
// If using custom acc orders, get next level for this scc
if (use_cust_acc_orders)
{
d.second = orders.next_level(scc, next, acc);
}
// Else compute level according the global acc order
else
{
// As a heuristic, if we enter the SCC on a
// state that has at least one accepting
// self-loop, start the degeneralization on
// the accepting level.
if (s_scc != scc && acc_loop.check(d.first))
{
d.second = order.size();
}
else
{
// Consider both the current acceptance
// sets, and the acceptance sets common to
// the outgoing transitions of the
// destination state. But don't do
// that if the state is accepting and we
// are not skipping levels.
if (skip_levels || !is_acc)
while (next < order.size()
&& bdd_implies(order[next], acc))
{
++next;
if (!skip_levels)
break;
}
d.second = next;
}
}
}
}
// Have we already seen this destination?
int dest;
ds2num_map::const_iterator di = ds2num.find(d);
if (di != ds2num.end())
{
dest = di->second;
}
else
{
dest = res->new_state();
ds2num[d] = dest;
todo.push_back(d);
// Insert new state to cache
if (use_lvl_cache)
{
auto res = lvl_cache.emplace(d.first, d.second);
if (!res.second)
{
if (use_lvl_cache == 3)
res.first->second =
std::max(res.first->second, d.second);
else if (use_lvl_cache == 2)
res.first->second =
std::min(res.first->second, d.second);
}
}
}
unsigned& t = tr_cache[dest * 2 + is_acc];
if (t == 0)
{
// Actually create the transition. If the source
// state is accepting, we have to put degen_acc on all
// outgoing transitions. (We are still building a
// TGBA; we only assure that it can be used as an
// SBA.)
bdd acc = bddfalse;
if (is_acc)
acc = degen_acc;
t = res->new_transition(src, dest,
i->current_condition(), acc);
}
else
{
res->trans_data(t).cond |= i->current_condition();
}
}
tr_cache.clear();
}
#ifdef DEGEN_DEBUG
std::vector<bdd>::iterator i;
std::cout << "Orig. order: \t";
for (i = order.begin(); i != order.end(); i++)
{
bdd_print_acc(std::cout, dict, *i);
std::cout << ", ";
}
std::cout << std::endl;
orders.print(dict);
#endif
res->merge_transitions();
return res;
} }
} }

11
src/tgbaalgos/degen.hh
View file

@ -45,12 +45,21 @@ namespace spot
/// Any of these three options will cause the SCCs of the automaton /// Any of these three options will cause the SCCs of the automaton
/// \a a to be computed prior to its actual degeneralization. /// \a a to be computed prior to its actual degeneralization.
/// ///
/// \see tgba_tba_proxy /// The degeneralize_tba() variant produce a degeneralized automaton
/// with transition-based acceptance.
/// \@{
SPOT_API tgba_digraph* SPOT_API tgba_digraph*
degeneralize(const tgba* a, bool use_z_lvl = true, degeneralize(const tgba* a, bool use_z_lvl = true,
bool use_cust_acc_orders = false, bool use_cust_acc_orders = false,
int use_lvl_cache = 1, int use_lvl_cache = 1,
bool skip_levels = true); bool skip_levels = true);
SPOT_API tgba_digraph*
degeneralize_tba(const tgba* a, bool use_z_lvl = true,
bool use_cust_acc_orders = false,
int use_lvl_cache = 1,
bool skip_levels = true);
/// \@}
} }

1
src/tgbaalgos/minimize.cc
View file

@ -37,7 +37,6 @@
#include "misc/hash.hh" #include "misc/hash.hh"
#include "misc/bddlt.hh" #include "misc/bddlt.hh"
#include "tgba/tgbaproduct.hh" #include "tgba/tgbaproduct.hh"
#include "tgba/tgbatba.hh"
#include "tgba/wdbacomp.hh" #include "tgba/wdbacomp.hh"
#include "tgbaalgos/powerset.hh" #include "tgbaalgos/powerset.hh"
#include "tgbaalgos/gtec/gtec.hh" #include "tgbaalgos/gtec/gtec.hh"

2
src/tgbaalgos/neverclaim.cc
View file

@ -23,9 +23,9 @@
#include <ostream> #include <ostream>
#include <sstream> #include <sstream>
#include "bdd.h" #include "bdd.h"
#include "tgba/tgbagraph.hh"
#include "neverclaim.hh" #include "neverclaim.hh"
#include "tgba/bddprint.hh" #include "tgba/bddprint.hh"
#include "tgba/tgbagraph.hh"
#include "reachiter.hh" #include "reachiter.hh"
#include "ltlvisit/tostring.hh" #include "ltlvisit/tostring.hh"
#include "tgba/formula2bdd.hh" #include "tgba/formula2bdd.hh"

7
src/tgbaalgos/neverclaim.hh
View file

@ -1,6 +1,6 @@
// -*- coding: utf-8 -*- // -*- coding: utf-8 -*-
// Copyright (C) 2009, 2011, 2012, 2013 Laboratoire de Recherche et // Copyright (C) 2009, 2011, 2012, 2013, 2014 Laboratoire de Recherche
// Développement de l'Epita (LRDE). // et Développement de l'Epita (LRDE).
// Copyright (C) 2004 Laboratoire d'Informatique de Paris 6 (LIP6), // Copyright (C) 2004 Laboratoire d'Informatique de Paris 6 (LIP6),
// département Systèmes Répartis Coopératifs (SRC), Université Pierre // département Systèmes Répartis Coopératifs (SRC), Université Pierre
// et Marie Curie. // et Marie Curie.
@ -25,10 +25,11 @@
#include <iosfwd> #include <iosfwd>
#include "ltlast/formula.hh" #include "ltlast/formula.hh"
#include "tgba/tgbatba.hh"
namespace spot namespace spot
{ {
class tgba;
/// \ingroup tgba_io /// \ingroup tgba_io
/// \brief Print reachable states in Spin never claim format. /// \brief Print reachable states in Spin never claim format.
/// ///

15
src/tgbaalgos/postproc.cc
View file

@ -28,7 +28,6 @@
#include "priv/countstates.hh" #include "priv/countstates.hh"
#include "powerset.hh" #include "powerset.hh"
#include "isdet.hh" #include "isdet.hh"
#include "tgba/tgbatba.hh"
#include "dtbasat.hh" #include "dtbasat.hh"
#include "dtgbasat.hh" #include "dtgbasat.hh"
#include "complete.hh" #include "complete.hh"
@ -273,14 +272,14 @@ namespace spot
// If we don't have a DBA, attempt tba-determinization if requested. // If we don't have a DBA, attempt tba-determinization if requested.
if (tba_determinisation_ && !dba) if (tba_determinisation_ && !dba)
{ {
const tgba* tmpd = 0; const tgba_digraph* tmpd = 0;
if (PREF_ == Deterministic if (PREF_ == Deterministic
&& f && f
&& f->is_syntactic_recurrence() && f->is_syntactic_recurrence()
&& sim->number_of_acceptance_conditions() > 1) && sim->number_of_acceptance_conditions() > 1)
tmpd = new tgba_tba_proxy(sim); tmpd = degeneralize_tba(sim);
const tgba* in = tmpd ? tmpd : sim; auto in = tmpd ? tmpd : sim;
// These thresholds are arbitrary. // These thresholds are arbitrary.
// //
@ -293,7 +292,7 @@ namespace spot
// are 8 times bigger, with no more that 2^15 cycle per SCC. // are 8 times bigger, with no more that 2^15 cycle per SCC.
// The cycle threshold is the most important limit here. You // The cycle threshold is the most important limit here. You
// may up it if you want to try producing larger automata. // may up it if you want to try producing larger automata.
const tgba* tmp = auto tmp =
tba_determinize_check(in, tba_determinize_check(in,
(PREF_ == Small) ? 2 : 8, (PREF_ == Small) ? 2 : 8,
1 << ((PREF_ == Small) ? 13 : 15), 1 << ((PREF_ == Small) ? 13 : 15),
@ -341,8 +340,8 @@ namespace spot
// sure it is at least 1. // sure it is at least 1.
target_acc = original_acc > 0 ? original_acc : 1; target_acc = original_acc > 0 ? original_acc : 1;
const tgba* in = 0; const tgba_digraph* in = 0;
const tgba* to_free = 0; const tgba_digraph* to_free = 0;
if (target_acc == 1) if (target_acc == 1)
{ {
// If we are seeking a minimal DBA with unknown number of // If we are seeking a minimal DBA with unknown number of
@ -351,7 +350,7 @@ namespace spot
if (state_based_) if (state_based_)
to_free = in = degeneralize(dba); to_free = in = degeneralize(dba);
else if (dba->number_of_acceptance_conditions() != 1) else if (dba->number_of_acceptance_conditions() != 1)
to_free = in = new tgba_tba_proxy(dba); to_free = in = degeneralize_tba(dba);
else else
in = dba; in = dba;
} }

1
src/tgbatest/complementation.cc
View file

@ -32,7 +32,6 @@
#include "tgbaalgos/stats.hh" #include "tgbaalgos/stats.hh"
#include "tgbaalgos/emptiness_stats.hh" #include "tgbaalgos/emptiness_stats.hh"
#include "tgbaalgos/degen.hh" #include "tgbaalgos/degen.hh"
#include "tgba/tgbatba.hh"
#include "tgba/tgbasafracomplement.hh" #include "tgba/tgbasafracomplement.hh"
#include "tgba/tgbakvcomplement.hh" #include "tgba/tgbakvcomplement.hh"

7
src/tgbatest/degenid.test
View file

@ -1,6 +1,7 @@
#!/bin/sh #!/bin/sh
# Copyright (C) 2011, 2013 Laboratoire de Recherche et Développement # -*- coding: utf-8 -*-
# de l'Epita (LRDE). # Copyright (C) 2011, 2013, 2014 Laboratoire de Recherche et
# Développement de l'Epita (LRDE).
# #
# This file is part of Spot, a model checking library. # This file is part of Spot, a model checking library.
# #
@ -24,7 +25,7 @@ set -e
# Make sure degeneralization is idempotent # Make sure degeneralization is idempotent
for f in 'FGa|GFb' 'GFa & GFb & GFc' 'GF(a->FGb)&GF(c->FGd)'; do for f in 'FGa|GFb' 'GFa & GFb & GFc' 'GF(a->FGb)&GF(c->FGd)'; do
for opt in -DS -D; do for opt in -DS -DT; do
../ltl2tgba $opt -b "$f" > autX.spot ../ltl2tgba $opt -b "$f" > autX.spot
../ltl2tgba -X -kt autX.spot > base.size ../ltl2tgba -X -kt autX.spot > base.size
cat base.size cat base.size

4
src/tgbatest/det.test
View file

@ -24,9 +24,9 @@ set -e
ltl2tgba=../../bin/ltl2tgba ltl2tgba=../../bin/ltl2tgba
cat >formulas <<'EOF' cat >formulas <<'EOF'
1,14,X((a M F((!b & !c) | (b & c))) W (G!c U b)) 1,13,X((a M F((!b & !c) | (b & c))) W (G!c U b))
1,5,X(((a & b) R (!a U !c)) R b) 1,5,X(((a & b) R (!a U !c)) R b)
1,10,XXG(Fa U Xb) 1,9,XXG(Fa U Xb)
1,5,(!a M !b) W F!c 1,5,(!a M !b) W F!c
1,3,(b & Fa & GFc) R a 1,3,(b & Fa & GFc) R a
1,2,(a R (b W a)) W G(!a M (b | c)) 1,2,(a R (b W a)) W G(!a M (b | c))

27
src/tgbatest/emptchk.test
View file

@ -1,9 +1,10 @@
#!/bin/sh #!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) 2008, 2009, 2010, 2014 Laboratoire de Recherche et # Copyright (C) 2008, 2009, 2010, 2014 Laboratoire de Recherche et
# Développement de l'Epita (LRDE). # Développement de l'Epita (LRDE).
# Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de # Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de
# Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC), # Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
# Université Pierre et Marie Curie. # Université Pierre et Marie Curie.
# #
# This file is part of Spot, a model checking library. # This file is part of Spot, a model checking library.
# #
@ -34,13 +35,13 @@ expect_ce_do()
expect_ce() expect_ce()
{ {
expect_ce_do -CR -e -taa "$1" expect_ce_do -CR -e -taa "$1"
expect_ce_do -CR -e -taa -D "$1" expect_ce_do -CR -e -taa -DT "$1"
expect_ce_do -CR -e -f "$1" expect_ce_do -CR -e -f "$1"
expect_ce_do -CR -e -f -D "$1" expect_ce_do -CR -e -f -DT "$1"
expect_ce_do -CR -e'Cou99(shy)' -taa "$1" expect_ce_do -CR -e'Cou99(shy)' -taa "$1"
expect_ce_do -CR -e'Cou99(shy)' -taa -D "$1" expect_ce_do -CR -e'Cou99(shy)' -taa -DT "$1"
expect_ce_do -CR -e'Cou99(shy)' -f "$1" expect_ce_do -CR -e'Cou99(shy)' -f "$1"
expect_ce_do -CR -e'Cou99(shy)' -f -D "$1" expect_ce_do -CR -e'Cou99(shy)' -f -DT "$1"
expect_ce_do -CR -eCVWY90 -taa "$1" expect_ce_do -CR -eCVWY90 -taa "$1"
expect_ce_do -CR -eCVWY90 -f "$1" expect_ce_do -CR -eCVWY90 -f "$1"
run 0 ../ltl2tgba -CR -e'CVWY90(bsh=10M)' -taa "$1" run 0 ../ltl2tgba -CR -e'CVWY90(bsh=10M)' -taa "$1"
@ -61,13 +62,13 @@ expect_ce()
expect_no() expect_no()
{ {
run 0 ../ltl2tgba -CR -E -taa "$1" run 0 ../ltl2tgba -CR -E -taa "$1"
run 0 ../ltl2tgba -CR -E -taa -D "$1" run 0 ../ltl2tgba -CR -E -taa -DT "$1"
run 0 ../ltl2tgba -CR -E -f "$1" run 0 ../ltl2tgba -CR -E -f "$1"
run 0 ../ltl2tgba -CR -E -f -D "$1" run 0 ../ltl2tgba -CR -E -f -DT "$1"
run 0 ../ltl2tgba -CR -E'Cou99(shy)' -taa "$1" run 0 ../ltl2tgba -CR -E'Cou99(shy)' -taa "$1"
run 0 ../ltl2tgba -CR -E'Cou99(shy)' -taa -D "$1" run 0 ../ltl2tgba -CR -E'Cou99(shy)' -taa -DT "$1"
run 0 ../ltl2tgba -CR -E'Cou99(shy)' -f "$1" run 0 ../ltl2tgba -CR -E'Cou99(shy)' -f "$1"
run 0 ../ltl2tgba -CR -E'Cou99(shy)' -f -D "$1" run 0 ../ltl2tgba -CR -E'Cou99(shy)' -f -DT "$1"
run 0 ../ltl2tgba -CR -ECVWY90 -taa "$1" run 0 ../ltl2tgba -CR -ECVWY90 -taa "$1"
run 0 ../ltl2tgba -CR -ECVWY90 -f "$1" run 0 ../ltl2tgba -CR -ECVWY90 -f "$1"
run 0 ../ltl2tgba -CR -E'CVWY90(bsh=10M)' -taa "$1" run 0 ../ltl2tgba -CR -E'CVWY90(bsh=10M)' -taa "$1"
@ -88,11 +89,11 @@ expect_ce 'a' 1
expect_ce 'a U b' 1 expect_ce 'a U b' 1
expect_ce 'X a' 1 expect_ce 'X a' 1
expect_ce 'a & b & c' 1 expect_ce 'a & b & c' 1
expect_ce 'a | b | (c U (d & (g U (h ^ i))))' 2 expect_ce 'a | b | (c U (d & (g U (h ^ i))))' 1
expect_ce 'Xa & (b U !a) & (b U !a)' 1 expect_ce 'Xa & (b U !a) & (b U !a)' 1
expect_ce 'Fa & Xb & GFc & Gd' 1 expect_ce 'Fa & Xb & GFc & Gd' 1
expect_ce 'Fa & Xa & GFc & Gc' 2 expect_ce 'Fa & Xa & GFc & Gc' 2
expect_ce 'Fc & X(a | Xb) & GF(a | Xb) & Gc' 1 expect_ce 'Fc & X(a | Xb) & GF(a | Xb) & Gc' 1
expect_ce '!((FF a) <=> (F x))' 3 expect_ce '!((FF a) <=> (F x))' 2
expect_no 'Xa && (!a U b) && !b && X!b' 2 expect_no 'Xa && (!a U b) && !b && X!b' 2
expect_no '(a U !b) && Gb' 2 expect_no '(a U !b) && Gb' 2

13
src/tgbatest/emptchke.test
View file

@ -1,9 +1,10 @@
#!/bin/sh #!/bin/sh
# Copyright (C) 2009, 2010 Laboratoire de Recherche et Développement # -*- coding: utf-8 -*-
# de l'Epita (LRDE). # Copyright (C) 2009, 2010, 2014 Laboratoire de Recherche et
# Développement de l'Epita (LRDE).
# Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de # Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de
# Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC), # Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
# Université Pierre et Marie Curie. # Université Pierre et Marie Curie.
# #
# This file is part of Spot, a model checking library. # This file is part of Spot, a model checking library.
# #
@ -28,9 +29,9 @@ set -e
expect_ce() expect_ce()
{ {
run 0 ../ltl2tgba -CR -e -X "$1" run 0 ../ltl2tgba -CR -e -X "$1"
run 0 ../ltl2tgba -CR -e -D -X "$1" run 0 ../ltl2tgba -CR -e -DT -X "$1"
run 0 ../ltl2tgba -CR -e'Cou99(shy)' -X "$1" run 0 ../ltl2tgba -CR -e'Cou99(shy)' -X "$1"
run 0 ../ltl2tgba -CR -e'Cou99(shy)' -D -X "$1" run 0 ../ltl2tgba -CR -e'Cou99(shy)' -DT -X "$1"
run 0 ../ltl2tgba -CR -eCVWY90 -X "$1" run 0 ../ltl2tgba -CR -eCVWY90 -X "$1"
run 0 ../ltl2tgba -CR -eGV04 -X "$1" run 0 ../ltl2tgba -CR -eGV04 -X "$1"
run 0 ../ltl2tgba -CR -eSE05 -X "$1" run 0 ../ltl2tgba -CR -eSE05 -X "$1"

25
src/tgbatest/ltl2tgba.cc
View file

@ -36,7 +36,6 @@
#include "tgbaalgos/save.hh" #include "tgbaalgos/save.hh"
#include "tgbaalgos/dotty.hh" #include "tgbaalgos/dotty.hh"
#include "tgbaalgos/lbtt.hh" #include "tgbaalgos/lbtt.hh"
#include "tgba/tgbatba.hh"
#include "tgba/tgbasgba.hh" #include "tgba/tgbasgba.hh"
#include "tgbaalgos/degen.hh" #include "tgbaalgos/degen.hh"
#include "tgba/tgbaproduct.hh" #include "tgba/tgbaproduct.hh"
@ -190,7 +189,7 @@ syntax(char* prog)
<< std::endl << std::endl
<< " -lS move generalized acceptance conditions to states " << " -lS move generalized acceptance conditions to states "
<< "(SGBA)" << std::endl << "(SGBA)" << std::endl
<< " -D degeneralize the automaton as a TBA" << std::endl << " -DT degeneralize the automaton as a TBA" << std::endl
<< " -DS degeneralize the automaton as an SBA" << std::endl << " -DS degeneralize the automaton as an SBA" << std::endl
<< " (append z/Z, o/O, l/L: to turn on/off options " << " (append z/Z, o/O, l/L: to turn on/off options "
<< "(default: zol)\n " << "(default: zol)\n "
@ -451,15 +450,18 @@ main(int argc, char** argv)
} }
else if (!strcmp(argv[formula_index], "-D")) else if (!strcmp(argv[formula_index], "-D"))
{ {
degeneralize_opt = DegenTBA; std::cerr << "-D was renamed to -DT\n";
abort();
} }
else if (!strcmp(argv[formula_index], "-DC")) else if (!strcmp(argv[formula_index], "-DC"))
{ {
opt_dtgbacomp = true; opt_dtgbacomp = true;
} }
else if (!strncmp(argv[formula_index], "-DS", 3)) else if (!strncmp(argv[formula_index], "-DS", 3)
|| !strncmp(argv[formula_index], "-DT", 3))
{ {
degeneralize_opt = DegenSBA; degeneralize_opt =
argv[formula_index][2] == 'S' ? DegenSBA : DegenTBA;
const char* p = argv[formula_index] + 3; const char* p = argv[formula_index] + 3;
while (*p) while (*p)
{ {
@ -1354,7 +1356,10 @@ main(int argc, char** argv)
{ {
if (degeneralize_opt == DegenTBA) if (degeneralize_opt == DegenTBA)
{ {
degeneralized = a = new spot::tgba_tba_proxy(a); degeneralized = a = spot::degeneralize_tba(a,
degen_reset,
degen_order,
degen_cache);
} }
else if (degeneralize_opt == DegenSBA) else if (degeneralize_opt == DegenSBA)
{ {
@ -1604,7 +1609,13 @@ main(int argc, char** argv)
degeneralize_opt = DegenTBA; degeneralize_opt = DegenTBA;
if (degeneralize_opt == DegenTBA) if (degeneralize_opt == DegenTBA)
{ {
product_degeneralized = a = new spot::tgba_tba_proxy(a); tm.start("degeneralize product");
product_degeneralized = a =
spot::degeneralize_tba(a,
degen_reset,
degen_order,
degen_cache);
tm.stop("degeneralize product");
} }
else if (degeneralize_opt == DegenSBA) else if (degeneralize_opt == DegenSBA)
{ {

8
src/tgbatest/ltl2tgba.test
View file

@ -119,7 +119,7 @@ run 0 ../ltl2tgba -e -R3 '(G!{(b;1)*;a} && ({1;1[*3]*}[]->{(b&!a)[*2];!b&!a}))'
# Make sure 'a U (b U c)' has 3 states and 6 transitions, # Make sure 'a U (b U c)' has 3 states and 6 transitions,
# before and after degeneralization. # before and after degeneralization.
for opt in '' -D -DS; do for opt in '' -DT -DS; do
../ltl2tgba -ks -f -R3 $opt 'a U (b U c)' > stdout ../ltl2tgba -ks -f -R3 $opt 'a U (b U c)' > stdout
grep 'transitions: 6$' stdout grep 'transitions: 6$' stdout
grep 'states: 3$' stdout grep 'states: 3$' stdout
@ -127,7 +127,7 @@ done
# Make sure '!(Ga U b)' has 3 states and 6 transitions, # Make sure '!(Ga U b)' has 3 states and 6 transitions,
# before and after degeneralization. # before and after degeneralization.
for opt in '' -D -DS; do for opt in '' -DT -DS; do
../ltl2tgba -kt -f -R3 $opt '!(Ga U b)' > stdout ../ltl2tgba -kt -f -R3 $opt '!(Ga U b)' > stdout
grep 'sub trans.: 11$' stdout grep 'sub trans.: 11$' stdout
grep 'transitions: 6$' stdout grep 'transitions: 6$' stdout
@ -136,7 +136,7 @@ done
# Make sure 'Ga U b' has 4 states and 6 transitions, # Make sure 'Ga U b' has 4 states and 6 transitions,
# before and after degeneralization. # before and after degeneralization.
for opt in '' -D -DS; do for opt in '' -DT -DS; do
../ltl2tgba -kt -f -R3 $opt 'Ga U b' > stdout ../ltl2tgba -kt -f -R3 $opt 'Ga U b' > stdout
grep 'sub trans.: 12$' stdout grep 'sub trans.: 12$' stdout
grep 'transitions: 6$' stdout grep 'transitions: 6$' stdout
@ -146,7 +146,7 @@ done
# Make sure '(G (p -> F q)) && ((X (p) U q) || ! X (p U (p && q)))' # Make sure '(G (p -> F q)) && ((X (p) U q) || ! X (p U (p && q)))'
# has 6 states and 15 transitions, before and after degeneralization. # has 6 states and 15 transitions, before and after degeneralization.
f='(G (p -> F q)) && ((X (p) U q) || ! X (p U (p && q)))' f='(G (p -> F q)) && ((X (p) U q) || ! X (p U (p && q)))'
for opt in '' -D -DS; do for opt in '' -DT -DS; do
../ltl2tgba -ks -f -R3 $opt "$f" > stdout ../ltl2tgba -ks -f -R3 $opt "$f" > stdout
grep 'transitions: 15$' stdout grep 'transitions: 15$' stdout
grep 'states: 6$' stdout grep 'states: 6$' stdout

8
src/tgbatest/ltlcounter.test
View file

@ -1,7 +1,7 @@
#!/bin/sh #!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) 2009, 2010, 2011, 2012 Laboratoire de Recherche et # Copyright (C) 2009, 2010, 2011, 2012, 2014 Laboratoire de Recherche
# Développement de l'EPITA (LRDE) # et Développement de l'EPITA (LRDE)
# #
# This file is part of Spot, a model checking library. # This file is part of Spot, a model checking library.
# #
@ -33,7 +33,7 @@ check_formula()
# First, check the satisfiability of the formula with Spot # First, check the satisfiability of the formula with Spot
$run ../ltl2tgba -CR -e -x -f "$1" >/dev/null $run ../ltl2tgba -CR -e -x -f "$1" >/dev/null
# Also check the satisfiability of the degeneralized formula # Also check the satisfiability of the degeneralized formula
$run ../ltl2tgba -CR -e -D -x -f "$1" >/dev/null $run ../ltl2tgba -CR -e -DT -x -f "$1" >/dev/null
$run ../ltl2tgba -CR -e -DS -x -f "$1" >/dev/null $run ../ltl2tgba -CR -e -DS -x -f "$1" >/dev/null
} }

8
src/tgbatest/ltlcross.test
View file

@ -31,16 +31,16 @@ ltl2tgba=../ltl2tgba
"$ltl2tgba -t -f -R3 %f > %T" \ "$ltl2tgba -t -f -R3 %f > %T" \
"$ltl2tgba -t -f -R3 -Rm %f > %T" \ "$ltl2tgba -t -f -R3 -Rm %f > %T" \
"$ltl2tgba -t -f -R3 -RM %f > %T" \ "$ltl2tgba -t -f -R3 -RM %f > %T" \
"$ltl2tgba -t -f -D %f > %T" \ "$ltl2tgba -t -f -DT %f > %T" \
"$ltl2tgba -t -f -D %f > %T" \ "$ltl2tgba -t -f -DS %f > %T" \
"$ltl2tgba -t -f -r4 -R3 -RDS %f > %T" \ "$ltl2tgba -t -f -r4 -R3 -RDS %f > %T" \
"$ltl2tgba -t -f -r4 -R3 -RRS %f > %T" \ "$ltl2tgba -t -f -r4 -R3 -RRS %f > %T" \
"$ltl2tgba -t -f -r4 -R3 -RIS %f > %T" \ "$ltl2tgba -t -f -r4 -R3 -RIS %f > %T" \
"$ltl2tgba -t -f -r4 -R3 -RDS -DS %f > %T" \ "$ltl2tgba -t -f -r4 -R3 -RDS -DS %f > %T" \
"$ltl2tgba -t -f -x -p %f > %T" \ "$ltl2tgba -t -f -x -p %f > %T" \
"$ltl2tgba -t -f -x -p -L %f > %T" \ "$ltl2tgba -t -f -x -p -L %f > %T" \
"$ltl2tgba -t -f -x -p -D %f > %T" \ "$ltl2tgba -t -f -x -p -DT %f > %T" \
"$ltl2tgba -t -f -x -p -L -D %f > %T" \ "$ltl2tgba -t -f -x -p -L -DT %f > %T" \
"$ltl2tgba -t -taa -r4 %f > %T" \ "$ltl2tgba -t -taa -r4 %f > %T" \
"$ltl2tgba -t -taa -r4 -c %f > %T" \ "$ltl2tgba -t -taa -r4 -c %f > %T" \
"$ltl2tgba -t -taa -r4 -R3 -RDS %f > %T" "$ltl2tgba -t -taa -r4 -R3 -RDS %f > %T"

4
src/tgbatest/randtgba.cc
View file

@ -45,7 +45,7 @@
#include "tgbaparse/public.hh" #include "tgbaparse/public.hh"
#include "misc/random.hh" #include "misc/random.hh"
#include "misc/optionmap.hh" #include "misc/optionmap.hh"
#include "tgba/tgbatba.hh" #include "tgbaalgos/degen.hh"
#include "tgba/tgbaproduct.hh" #include "tgba/tgbaproduct.hh"
#include "misc/timer.hh" #include "misc/timer.hh"
@ -928,7 +928,7 @@ main(int argc, char** argv)
{ {
spot::tgba* degen = 0; spot::tgba* degen = 0;
if (opt_degen && real_n_acc > 1) if (opt_degen && real_n_acc > 1)
degen = new spot::tgba_tba_proxy(a); degen = degeneralize_tba(a);
int n_alg = ec_algos.size(); int n_alg = ec_algos.size();
int n_ec = 0; int n_ec = 0;

10
src/tgbatest/spotlbtt.test
View file

@ -1,9 +1,7 @@
#!/bin/sh #!/bin/sh
# -*- coding: utf-8 -*- # -*- coding: utf-8 -*-
# Copyright (C) 2009, 2010, 2011, 2012, 2014 Laboratoire de Recherche # Copyright (C) 2009, 2010, 2011, 2012, 2014 Laboratoire de Recherche
# et Développement de l'Epita (LRDE). # et Développement de l'Epita (LRDE).
# Copyright (C) 2003, 2004, 2005, 2006, 2007 Laboratoire # Copyright (C) 2003, 2004, 2005, 2006, 2007 Laboratoire
# d'Informatique de Paris 6 (LIP6), département Systèmes Répartis # d'Informatique de Paris 6 (LIP6), département Systèmes Répartis
# Coopératifs (SRC), Université Pierre et Marie Curie. # Coopératifs (SRC), Université Pierre et Marie Curie.
@ -124,7 +122,7 @@ Algorithm
{ {
Name = "Spot (Couvreur -- FM), degeneralized" Name = "Spot (Couvreur -- FM), degeneralized"
Path = "${LBTT_TRANSLATE}" Path = "${LBTT_TRANSLATE}"
Parameters = "--spot '../ltl2tgba -F -f -t -D'" Parameters = "--spot '../ltl2tgba -F -f -t -DT'"
Enabled = yes Enabled = yes
} }
@ -237,7 +235,7 @@ Algorithm
{ {
Name = "Spot (Couvreur -- FM post_branch + exprop), degeneralized" Name = "Spot (Couvreur -- FM post_branch + exprop), degeneralized"
Path = "${LBTT_TRANSLATE}" Path = "${LBTT_TRANSLATE}"
Parameters = "--spot '../ltl2tgba -F -f -p -x -t -D'" Parameters = "--spot '../ltl2tgba -F -f -p -x -t -DT'"
Enabled = yes Enabled = yes
} }
@ -245,8 +243,8 @@ Algorithm
{ {
Name = "Spot (Couvreur -- FM post_branch + exprop + flapprox), degeneralized" Name = "Spot (Couvreur -- FM post_branch + exprop + flapprox), degeneralized"
Path = "${LBTT_TRANSLATE}" Path = "${LBTT_TRANSLATE}"
Parameters = "--spot '../ltl2tgba -F -f -p -x -t -L -D'" Parameters = "--spot '../ltl2tgba -F -f -p -x -t -L -DT'"
Enabled = yes ENABLED = yes
} }
Algorithm Algorithm

3
wrap/python/spot.i
View file

@ -79,7 +79,6 @@ namespace std {
#include "tgba/tgba.hh" #include "tgba/tgba.hh"
#include "tgba/taatgba.hh" #include "tgba/taatgba.hh"
#include "tgba/tgbaproduct.hh" #include "tgba/tgbaproduct.hh"
#include "tgba/tgbatba.hh"
#include "tgbaalgos/dottydec.hh" #include "tgbaalgos/dottydec.hh"
#include "tgbaalgos/dotty.hh" #include "tgbaalgos/dotty.hh"
@ -201,6 +200,7 @@ using namespace spot;
%feature("new") spot::cosimulation; %feature("new") spot::cosimulation;
%feature("new") spot::iterated_simulations; %feature("new") spot::iterated_simulations;
%feature("new") spot::degeneralize; %feature("new") spot::degeneralize;
%feature("new") spot::degeneralize_tba;
%feature("new") spot::tgba_parse; %feature("new") spot::tgba_parse;
%feature("new") spot::tgba_to_ta; %feature("new") spot::tgba_to_ta;
%feature("new") spot::tgba_to_tgta; %feature("new") spot::tgba_to_tgta;
@ -219,7 +219,6 @@ using namespace spot;
%include "tgba/tgba.hh" %include "tgba/tgba.hh"
%include "tgba/taatgba.hh" %include "tgba/taatgba.hh"
%include "tgba/tgbaproduct.hh" %include "tgba/tgbaproduct.hh"
%include "tgba/tgbatba.hh"
// We won't parse tgba_digraph, so just pretend it is a subclass of tgba. // We won't parse tgba_digraph, so just pretend it is a subclass of tgba.
%nodefaultctor spot::tgba_digraph; %nodefaultctor spot::tgba_digraph;

2
wrap/python/tests/ltl2tgba.py
View file

@ -99,7 +99,7 @@ if f:
degeneralized = None degeneralized = None
if degeneralize_opt: if degeneralize_opt:
a = degeneralized = spot.tgba_tba_proxy(a) a = degeneralized = spot.degeneralize(a)
if output == 0: if output == 0:
spot.dotty_reachable(cout, a) spot.dotty_reachable(cout, a)