* src/tgbatest/emptinesscheckexplicit.test (acc): New file.

* src/tgbatest/emptinesscheckexplicit.cc (main): New file.

* src/tgbatest/emptinesscheck.test: New file.

* src/tgbatest/emptinesscheck.cc (main): New file.

* src/tgbaalgos/emptinesscheck.cc (spot): New method.

* src/tgbaalgos/emptinesscheck.hh: New interface.
This commit is contained in:
rebiha 2003-09-25 15:12:44 +00:00
parent 83565fb659
commit 7f3c113130
9 changed files with 964 additions and 0 deletions

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@ -1,3 +1,17 @@
2003-09-25 Rachid REBIHA <rebiha@nyx>
* src/tgbatest/emptinesscheckexplicit.test (acc): New file.
* src/tgbatest/emptinesscheckexplicit.cc (main): New file.
* src/tgbatest/emptinesscheck.test: New file.
* src/tgbatest/emptinesscheck.cc (main): New file.
* src/tgbaalgos/emptinesscheck.cc (spot): New method.
* src/tgbaalgos/emptinesscheck.hh: New interface.
2003-09-22 Alexandre Duret-Lutz <aduret@src.lip6.fr>
* src/tgbaalgos/ltl2tgba.cc, src/tgbaalgos/ltl2tgba.hh: Rename as ...

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@ -10,6 +10,7 @@ tgbaalgos_HEADERS = \
ltl2tgba_fm.hh \
ltl2tgba_lacim.hh \
magic.hh \
emptinesscheck.hh \
save.hh
noinst_LTLIBRARIES = libtgbaalgos.la
@ -20,4 +21,5 @@ libtgbaalgos_la_SOURCES = \
ltl2tgba_fm.cc \
ltl2tgba_lacim.cc \
magic.cc \
emptinesscheck.cc \
save.cc

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@ -0,0 +1,578 @@
#include "emptinesscheck.hh"
#include "tgba/tgba.hh"
#include "tgba/state.hh"
#include "tgba/bddprint.hh"
#include "tgba/tgbabddfactory.hh"
#include "tgba/succiterconcrete.hh"
#include "tgba/tgbabddconcrete.hh"
#include "bdd.h"
#include <map>
#include <list>
#include <sstream>
#include <stack>
#include <queue>
#include <stdio.h>
#include <vector>
#include <set>
namespace spot
{
connected_component::connected_component()
{
index = 0;
condition = bddfalse;
transition_acc = -1;
nb_transition = 0;
nb_state = 1;
not_null = false;
}
connected_component::connected_component(int i, bdd a)
{
index = i;
condition = a;
transition_acc = -1;
nb_transition = 0;
nb_state = 1;
not_null = false;
}
connected_component::~connected_component()
{
}
std::string
connected_component::to_string_component()
{
return "+ index + condition + nbTransition + transitionCondition + notNull +";
}
bool
connected_component::isAccepted(tgba* aut)
{
return aut->all_accepting_conditions() == condition;
}
void
emptiness_check::remove_component(const tgba& aut, seen& state_map, const spot::state* start_delete)
{
/// \brief Remove all the nodes accessible from the given node start_delete.
///
/// The removed graphe is the subgraphe containing nodes store
///intable state_map with order -1.
std::stack<spot::tgba_succ_iterator*> to_remove;
state_map[start_delete] = -1;
tgba_succ_iterator* iter_delete = aut.succ_iter(start_delete);
iter_delete->first();
to_remove.push(iter_delete);
while (!to_remove.empty())
{
tgba_succ_iterator* succ_delete = to_remove.top();
to_remove.pop();
if (!succ_delete->done())
{
to_remove.push(succ_delete);
state* curr_state = succ_delete->current_state();
succ_delete->next();
if (state_map[curr_state] != -1)
{
state_map[curr_state] = -1;
tgba_succ_iterator* succ_delete2 = aut.succ_iter(curr_state);
succ_delete2->first();
to_remove.push(succ_delete2);
}
}
}
}
emptiness_check::~emptiness_check()
{
}
emptiness_check::emptiness_check()
{
}
bool
emptiness_check::tgba_emptiness_check(const spot::tgba* aut_check)
{
/// \brief On-the-fly emptiness check.
///
/// The algorithm used here is adapted from Jean-Michel Couvreur's
/// Probataf tool.
int nbstate = 1;
state* init = aut_check->get_init_state();
seen_state_num[init] = 1;
root_component.push(spot::connected_component(1,bddfalse));
arc_accepting.push(bddfalse);
tgba_succ_iterator* iter_ = aut_check->succ_iter(init);
iter_->first();
todo.push(pair_state_iter(init, iter_ ));
while (!todo.empty())
{
pair_state_iter step = todo.top();
if ((step.second)->done())
{
todo.pop();
assert(!root_component.empty());
connected_component comp_tmp = root_component.top();
root_component.pop();
seen::iterator i_0 = seen_state_num.find(step.first);
assert(i_0 != seen_state_num.end());
if (comp_tmp.index == seen_state_num[step.first])
{
/// The current node is a root of a Strong Connected Component.
spot::emptiness_check::remove_component(*aut_check, seen_state_num, step.first);
assert(!arc_accepting.empty());
arc_accepting.pop();
assert(root_component.size() == arc_accepting.size());
}
else
{
root_component.push(comp_tmp);
assert(root_component.size() == arc_accepting.size());
}
}
else
{
iter_ = step.second;
state* current_state = iter_->current_state();
bdd current_accepting = iter_->current_accepting_conditions();
seen::iterator i = seen_state_num.find(current_state);
iter_->next();
if (i == seen_state_num.end())
{
/// New node.
nbstate = nbstate + 1;
assert(nbstate != 0);
seen_state_num[current_state] = nbstate;
root_component.push(connected_component(nbstate, bddfalse));
arc_accepting.push(current_accepting);
tgba_succ_iterator* iter2 = aut_check->succ_iter(current_state);
iter2->first();
todo.push(pair_state_iter(current_state, iter2 ));
}
else if (seen_state_num[current_state] != -1)
{
/// A node with order != -1 (a seen node not removed).
assert(!root_component.empty());
connected_component comp = root_component.top();
root_component.pop();
bdd new_condition = bddfalse;
new_condition = bdd_apply(new_condition, current_accepting, bddop_or);
new_condition = bdd_apply(new_condition, comp.condition, bddop_or);
int current_index = seen_state_num[current_state];
while (comp.index > current_index)
{
/// root_component and arc_accepting are popped
/// until the head of root_component is less or
/// equal to the order of the current state.
assert(!root_component.empty());
comp = root_component.top();
root_component.pop();
new_condition = bdd_apply(new_condition,comp.condition, bddop_or);
assert(!arc_accepting.empty());
bdd arc_acc = arc_accepting.top();
arc_accepting.pop();
new_condition = bdd_apply(new_condition, arc_acc, bddop_or);
}
comp.condition = bdd_apply(comp.condition, new_condition, bddop_or);
if (aut_check->all_accepting_conditions() == comp.condition)
{
/// A failure SCC is find, the automata is not empty.
spot::bdd_print_dot(std::cout, aut_check->get_dict(),comp.condition);
root_component.push(comp);
return false;
}
root_component.push(comp);
assert(root_component.size() == arc_accepting.size());
}
}
}
spot::bdd_print_dot(std::cout, aut_check->get_dict(),aut_check->all_accepting_conditions());
/// The automata is empty.
return true;
}
void
emptiness_check::counter_example(const spot::tgba* aut_counter)
{
/// \brief Build a possible prefixe and period for a counter example.
bool emptiness = tgba_emptiness_check(aut_counter);
std::deque <pair_state_iter> todo_trace;
typedef std::map <const spot::state*, const spot::state*, spot::state_ptr_less_than> path_state;
path_state path_map;
if (!emptiness){
int comp_size = root_component.size();
std::cout << "*****COUNTER-EXAMPLE*****" << comp_size << std::endl;
typedef std::vector<connected_component> vec_compo;
vec_compo vec_component;
vec_component.resize(comp_size);
vec_sequence.resize(comp_size);
state_sequence seq;
state_sequence tmp_lst;
state_sequence best_lst;
bdd tmp_acc = bddfalse;
std::stack <pair_state_iter> todo_accept;
for (int j = comp_size -1; j >= 0; j--)
{
vec_component[j] = root_component.top();
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),root_component.top().condition);
root_component.pop();
}
for (int p = 0; p < comp_size; p++)
{
std::cout << "*****" << vec_component[p].index << "*****" << std::endl;
}
int q_index;
int tmp_int = 0;
/// Fill the SCC in the stack root_component.
for (seen::iterator iter_map = seen_state_num.begin(); iter_map != seen_state_num.end(); iter_map++)
{
q_index = (*iter_map).second;
tmp_int = 0;
if (q_index > 0)
{
while ((tmp_int < comp_size) && (vec_component[tmp_int].index <= q_index))
{
tmp_int = tmp_int+1;
}
if (tmp_int < comp_size)
{
vec_component[tmp_int-1].state_set.insert((*iter_map).first);
}
else
{
vec_component[comp_size-1].state_set.insert((*iter_map).first);
}
}
}
for (int m = 0; m < comp_size; m++)
{
std::cout << "*****CONNECTED COMPONENT :" <<vec_component[m].index << "*****" << std::endl;
for (connected_component::set_of_state::iterator i_seq = vec_component[m].state_set.begin(); i_seq != vec_component[m].state_set.end(); i_seq++)
{
std::cout << "*****STATE :" << aut_counter->format_state(*i_seq) << "*****" << std::endl;
seen::iterator i_1 = seen_state_num.find((*i_seq));
assert(i_1 != seen_state_num.end());
std::cout << "***** NUM :" << seen_state_num[*i_seq] << "*****" << std::endl;
}
std::cout << "_________________________________" << std::endl;
}
state* start_state = aut_counter->get_init_state();
if (comp_size != 1)
{
todo_trace.push_back(pair_state_iter(start_state, aut_counter->succ_iter(start_state)));
for (int k = 0; k < comp_size-1; k++)
{
/// We build a path trought all SCC in the stack : a
///possible prefixe for a counter example.
while (!todo_trace.empty())
{
pair_state_iter started_from = todo_trace.front();
todo_trace.pop_front();
(started_from.second)->first();
for ((started_from.second)->first(); !started_from.second->done(); started_from.second->next())
{
const state* curr_state =(started_from.second)->current_state();
connected_component::set_of_state::iterator iter_set = vec_component[k+1].state_set.find(curr_state);
if (iter_set != vec_component[k+1].state_set.end())
{
const state* curr_father = started_from.first;
seq.push_front(*iter_set);
seq.push_front(curr_father);
seen::iterator i_2 = seen_state_num.find(curr_father);
assert(i_2 != seen_state_num.end());
while ((vec_component[k].index < seen_state_num[curr_father]) && (seen_state_num[curr_father] != 1))
{
seq.push_front(path_map[curr_father]);
curr_father = path_map[curr_father];
seen::iterator i_3 = seen_state_num.find(curr_father);
assert(i_3 != seen_state_num.end());
}
vec_sequence[k] = seq;
seq.clear();
todo_trace.clear();
break;
}
else
{
connected_component::set_of_state::iterator i_s = vec_component[k].state_set.find(curr_state);
if (i_s != vec_component[k].state_set.end())
{
path_state::iterator i_path = path_map.find(curr_state);
seen::iterator i_seen = seen_state_num.find(curr_state);
if (i_seen != seen_state_num.end() && seen_state_num[curr_state] > 0 && i_path == path_map.end())
{
todo_trace.push_back(pair_state_iter(curr_state, aut_counter->succ_iter(curr_state)));
path_map[curr_state] = started_from.first;
}
}
}
}
}
todo_trace.push_back(pair_state_iter(vec_sequence[k].back(), aut_counter->succ_iter(vec_sequence[k].back())));
}
}
else
{
seq_counter.push_front(start_state);
}
// vec_sequence[0].push_front(start_state);
for (int n_ = 0; n_ < comp_size-1; n_++)
{
for (state_sequence::iterator it = vec_sequence[n_].begin(); it != vec_sequence[n_].end(); it++)
{
seq_counter.push_back(*it);
}
// seq_counter.splice(seq_counter.end(), vec_sequence[n_]);
}
seq_counter.unique();
for (state_sequence::iterator i_se = seq_counter.begin(); i_se != seq_counter.end(); i_se++)
{
std::cout << "*****STATE :" << aut_counter->format_state(*i_se) << "*****" << std::endl;
std::cout << "***** NUM :" << seen_state_num[(*i_se)] << "*****" << std::endl;
}
std::cout << "ACCEPTING PATH BEGIN " << std::endl;
/// Call accepting_path to build the period of the counter example.
emptiness_check::accepting_path(aut_counter, vec_component[comp_size-1], seq_counter.back(),vec_component[comp_size-1].condition);
std::cout << "ACCEPTING PATH END " << std::endl;
}
else
{
std::cout << "Nothings in vec_sequence " << std::endl;
std::cout << "******************************************" << std::endl;
std::cout << "*****SEEN STATE NUM :" << "*****" << std::endl;
for (seen::iterator i_sd = seen_state_num.begin(); i_sd != seen_state_num.end(); i_sd++)
{
std::cout << "*****STATE :" << aut_counter->format_state((*i_sd).first) << "*****" << std::endl;
std::cout << "***** NUM :" << seen_state_num[(*i_sd).first] << "*****" << std::endl;
}
std::cout << "_________________________________" << std::endl;
}
}
void
emptiness_check::complete_cycle(const spot::tgba* aut_counter, const connected_component& comp_path, const state* from_state,const state* to_state)
{
/// \brief complete the path build by accepting_path to get the
///period (cycle).
if (seen_state_num[from_state] != seen_state_num[to_state])
{
std::cout << "COMPLETE CYCLE BEGIN" << std::endl;
std::map <const spot::state*, state_proposition, spot::state_ptr_less_than> complete_map;
std::deque <pair_state_iter> todo_complete;
spot::tgba_succ_iterator* ite = aut_counter->succ_iter(from_state);
todo_complete.push_back(pair_state_iter(from_state, ite));
cycle_path tmp_comp;
while(!todo_complete.empty())
{
pair_state_iter started_ = todo_complete.front();
todo_complete.pop_front();
tgba_succ_iterator* iter_s = started_.second;
iter_s->first();
for (iter_s->first(); !iter_s->done(); iter_s->next())
{
const state* curr_state = (started_.second)->current_state();
connected_component::set_of_state::iterator i_set = comp_path.state_set.find(curr_state);
if (i_set != comp_path.state_set.end())
{
if (curr_state->compare(to_state) == 0)
{
const state* curr_father = started_.first;
bdd curr_condition = iter_s->current_condition();
tmp_comp.push_front(state_proposition(curr_state, curr_condition));
// tmp_comp.push_front(state_proposition(curr_father, complete_map[curr_father].second));
while (curr_father->compare(from_state) != 0)
{
//emptiness_check::periode.push_front(state_proposition(curr_father, complete_map[curr_father].second));
tmp_comp.push_front(state_proposition(curr_father, complete_map[curr_father].second));
curr_father = complete_map[curr_father].first;
}
emptiness_check::periode.splice(periode.end(), tmp_comp);
todo_complete.clear();
break;
}
else
{
todo_complete.push_back(pair_state_iter(curr_state, aut_counter->succ_iter(curr_state)));
complete_map[curr_state] = state_proposition(started_.first, iter_s->current_condition());
}
}
}
}
// emptiness_check::periode = state_prop;
}
std::cout << "END COMPLETE CYCLE " << std::endl;
}
void
emptiness_check::accepting_path(const spot::tgba* aut_counter, const connected_component& comp_path, const spot::state* start_path, bdd to_accept)
{
/// \Brief build recursively a path in the accepting SCC to get
///all accepting conditions. This path is the first part of the
///period.
seen seen_priority;
std::stack<triplet> todo_path;
tgba_succ_iterator* t_s_i = aut_counter->succ_iter(start_path);
t_s_i->first();
todo_path.push(triplet(pair_state_iter(start_path,t_s_i), bddfalse));
bdd tmp_acc = bddfalse;
bdd best_acc = bddfalse;
cycle_path tmp_lst;
cycle_path best_lst;
bool ok = false;
seen_priority[start_path] = seen_state_num[start_path];
for (seen::iterator i_ss = seen_priority.begin(); i_ss != seen_priority.end(); i_ss++)
{
std::cout << "*****STATE :" << aut_counter->format_state((*i_ss).first) << "*****" << std::endl;
std::cout << "***** NUM :" << seen_priority[(*i_ss).first] << "*****" << std::endl;
}
while (!todo_path.empty())
{
triplet step_ = todo_path.top();
tgba_succ_iterator* iter_ = (step_.first).second;
std::cout << "WHILE BEGIN " << iter_ << std::endl;
if (iter_->done())
{
std::cout << "IF BEGIN " << std::endl;
todo_path.pop();
seen_priority.erase((step_.first).first);
for (seen::iterator i_ss = seen_priority.begin(); i_ss != seen_priority.end(); i_ss++)
{
std::cout << "*****STATE :" << aut_counter->format_state((*i_ss).first) << "*****" << std::endl;
std::cout << "***** NUM :" << seen_priority[(*i_ss).first] << "*****" << std::endl;
}
//seen_priority.[(step_.first).first] = -2;
//delete(tmp_lst.back().first);
tmp_lst.pop_back();
std::cout << "IF END " << std::endl;
}
else
{
std::cout << "ELSE BEGIN " << std::endl;
state* curr_state = iter_->current_state();
connected_component::set_of_state::iterator it_set = comp_path.state_set.find(curr_state);
if (it_set != comp_path.state_set.end())
{
std::cout << "IN COMPONENT " << std::endl;
seen::iterator i = seen_priority.find(curr_state);
if (i == seen_priority.end())
{
std::cout << "NOT IN MAP " << std::endl;
std::cout <<"STATE:" << aut_counter->format_state(curr_state) << "*****" << std::endl;
// spot::bdd_print_dot(std::cout, aut_counter->get_dict(),aut_counter->succ_iter(curr_state)->current_accepting_conditions());
tgba_succ_iterator* c_iter = aut_counter->succ_iter(curr_state);
bdd curr_bdd = bdd_apply(iter_->current_accepting_conditions(), step_.second, bddop_or);
std::cout << "*****TODO PATH PUSH STATE : BEFORE" << aut_counter->format_state((todo_path.top().first).first) << "*****" << std::endl;
c_iter->first();
todo_path.push(triplet(pair_state_iter(curr_state, c_iter), curr_bdd));
std::cout << "*****TODO PATH PUSH STATE : AFTER" << aut_counter->format_state((todo_path.top().first).first) << "*****" << std::endl;
tmp_lst.push_back(state_proposition(curr_state, iter_->current_condition()));
seen_priority[curr_state] = seen_state_num[curr_state];
}
else
{
std::cout << "IN MAP " << std::endl;
if (ok)
{
std::cout << "NOT FIRST TIME " << std::endl;
bdd last_ = iter_->current_accepting_conditions();
bdd prop_ = iter_->current_condition();
tmp_lst.push_back(state_proposition(curr_state, prop_));
tmp_acc = bdd_apply(last_, step_.second, bddop_or);
// tmp_lst.push_back(state_proposition(curr_state->clone(), last_));
bdd curr_in = bdd_apply(tmp_acc, to_accept, bddop_and);
bdd best_in = bdd_apply(best_acc, to_accept, bddop_and);
if (curr_in == best_in)
{
if (tmp_lst.size() < best_lst.size())
{
std::cout << "tmp_lst.size() < best_lst.size() " << std::endl;
cycle_path tmp(tmp_lst);
best_lst = tmp;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),step_.second);
}
}
else
{
if (bddtrue == bdd_apply(best_in, curr_in, bddop_imp))
{
cycle_path tmp(tmp_lst);
best_lst = tmp;
best_acc = tmp_acc;
}
}
}
else
{
std::cout << "FIRST TIME " << std::endl;
bdd last_ = iter_->current_accepting_conditions();
bdd prop_ = iter_->current_condition();
tmp_acc = bdd_apply(last_, step_.second, bddop_or);
tmp_lst.push_back(state_proposition(curr_state, prop_));
cycle_path tmp(tmp_lst);
best_lst = tmp;
best_acc = tmp_acc;
ok = true;
}
}
}
iter_->next();
std::cout << "ELSE END " << std::endl;
}
}
for (cycle_path::iterator it = best_lst.begin(); it != best_lst.end(); it++)
{
emptiness_check::periode.push_back(*it);
}
// emptiness_check::periode.splice(periode.end(), best_lst);
std::cout << "POINTEUR:" << periode.back().first << "*STATE :" << aut_counter->format_state( periode.back().first) << "*****" << std::endl;
if (best_acc != to_accept)
{
std::cout << "IN RECURSE " << std::endl;
bdd rec_to_acc = bdd_apply(to_accept, !best_acc, bddop_and);
std::cout << "BEST_ACC " << std::endl;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),best_acc);
std::cout << "TO_ACCEPT " << std::endl;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),to_accept);
std::cout << "TO_ACCEPT - BEST_ACC " << std::endl;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),rec_to_acc);
emptiness_check::accepting_path(aut_counter, comp_path, periode.back().first, rec_to_acc);
std::cout << "IN RECURSE " << std::endl;
}
else
{
bdd rec_to_acc = bdd_apply(to_accept, !best_acc, bddop_and);
std::cout << "TO_ACCEPT - BEST_ACC " << std::endl;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(),rec_to_acc);
if (!periode.empty())
{
std::cout << "IN COMPLETE CYCLE " << std::endl;
/// The paht contains all accepting conditions. Then we
///complete the cycle in this SCC by calling complete_cycle.
complete_cycle(aut_counter, comp_path, periode.back().first, seq_counter.back());
for (cycle_path::iterator it = periode.begin(); it != periode.end(); it++)
{
std::cout << "*****STATE :" << aut_counter->format_state((*it).first) << "*****" << std::endl;
std::cout << "PROPOSITION TRANSITION :" << std::endl;
spot::bdd_print_dot(std::cout, aut_counter->get_dict(), (*it).second);
}
}
}
}
}

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@ -0,0 +1,139 @@
#ifndef SPOT_EMPTINESS_CHECK_HH
# define SPOT_EMPTINESS_CHECK_HH
//#include "tgba/bddfactory.hh"
#include "tgba/tgba.hh"
#include "tgba/statebdd.hh"
#include "tgba/tgbabddfactory.hh"
#include "tgba/succiterconcrete.hh"
#include "tgba/tgbabddconcrete.hh"
#include <map>
#include <stack>
#include <list>
#include <vector>
#include <set>
namespace spot
{
/// \brief Emptiness check on spot::tgba
class connected_component
{
/// During the Depth path we keep the connected component that we met.
public:
connected_component();
connected_component(int i, bdd a);
virtual
~connected_component();
std::string
to_string_component();
bool
isAccepted(tgba* aut);
public:
int index;
/// The bdd condition is the union of all accepting condition of
/// transitions which connect the states of the connected component.
bdd condition;
typedef std::set<const spot::state*, spot::state_ptr_less_than> set_of_state;
/// for the counter example we need to know all the states of the
///component
set_of_state state_set;
int transition_acc;
int nb_transition;
int nb_state;
bool not_null;
};
class emptiness_check
{
typedef std::pair<const spot::state*, tgba_succ_iterator*> pair_state_iter;
typedef std::pair<pair_state_iter, bdd> triplet;
typedef std::map <const spot::state*, int, spot::state_ptr_less_than> seen;
typedef std::list<const state*> state_sequence;
typedef std::pair<const spot::state*, bdd> state_proposition;
typedef std::list<state_proposition> cycle_path;
public:
virtual
~emptiness_check();
emptiness_check();
/// this function remove all accessible state from a given
/// state. In other words, it removes the strongly connected
/// component that contents this state.
void
remove_component(const tgba& aut, seen& state_map, const spot::state* start_delete);
/// \brief Emptiness check on spot::tgba
/// This is based on the following papers.
/// \verbatim
/// @InProceedings{ couvreur.00.lacim,
/// author = {Jean-Michel Couvreur},
/// title = {Un point de vue symbolique sur la logique temporelle
/// lin{\'e}aire},
/// booktitle = {Actes du Colloque LaCIM 2000},
/// month = {August},
/// year = {2000},
/// pages = {131--140},
/// volume = {27},
/// series = {Publications du LaCIM},
/// publisher = {Universit{\'e} du Qu{\'e}bec {\`a} Montr{\'e}al},
/// editor = {Pierre Leroux}
/// }
/// \endverbatim
/// and
/// \verbatim
/// @InProceedings{couvreur.99.fm,
/// author = {Jean-Michel Couvreur},
/// title = {On-the-fly Verification of Temporal Logic},
/// pages = {253--271},
/// editor = {Jeannette M. Wing and Jim Woodcock and Jim Davies},
/// booktitle = {Proceedings of the World Congress on Formal Methods in the
/// Development of Computing Systems (FM'99)},
/// publisher = {Springer-Verlag},
/// series = {Lecture Notes in Computer Science},
/// volume = {1708},
/// year = {1999},
/// address = {Toulouse, France},
/// month = {September},
/// isbn = {3-540-66587-0}
/// }
/// \endverbatim
/// This function return true if the automata is empty and build a stack of SCC.
bool
tgba_emptiness_check(const spot::tgba* aut_check);
/// counter_example check if the automata is empty. If it is not,
///then this function return an accepted word (a trace) and an accepted sequence.
void
counter_example(const spot::tgba* aut_counter);
std::stack <bdd> arc_accepting;
std::stack <connected_component> root_component;
seen seen_state_num;
state_sequence seq_counter;
cycle_path periode;
private:
std::stack <pair_state_iter> todo;
std::vector<state_sequence> vec_sequence;
/// This function is called by counter_example to find a path
/// which contents all accepting conditions in the accepted SCC (get all the
/// accepting conditions).
void
accepting_path (const spot::tgba* aut_counter, const connected_component& comp_path, const spot::state* start_path, bdd to_accept);
/// This function is called by counter_example (after
//accepting_path) to complete the cycle that caraterise the periode
//of the counter example. Append a sequence to the path given by accepting_path.
void
complete_cycle(const spot::tgba* aut_counter, const connected_component& comp_path, const state* from_state,const state* to_state);
};
}
#endif // SPOT_EMPTINESS_CHECK_HH

View file

@ -6,6 +6,8 @@ check_SCRIPTS = defs
check_PROGRAMS = \
bddprod \
explicit \
emptinesscheck \
emptinesscheckexplicit \
explprod \
ltl2tgba \
ltlmagic \
@ -18,6 +20,8 @@ check_PROGRAMS = \
# Keep this sorted alphabetically.
bddprod_SOURCES = ltlprod.cc
bddprod_CXXFLAGS = -DBDD_CONCRETE_PRODUCT
emptinesscheck_SOURCES = emptinesscheck.cc
emptinesscheckexplicit_SOURCES = emptinesscheckexplicit.cc
explicit_SOURCES = explicit.cc
explprod_SOURCES = explprod.cc
ltl2tgba_SOURCES = ltl2tgba.cc
@ -42,6 +46,8 @@ TESTS = \
explpro3.test \
tripprod.test \
mixprod.test \
emptinesscheck.test \
emptinesscheckexplicit.test \
ltlmagic.test \
spotlbtt.test

View file

@ -0,0 +1,145 @@
#include <iostream>
#include <cassert>
#include "ltlvisit/destroy.hh"
#include "ltlast/allnodes.hh"
#include "ltlparse/public.hh"
#include "tgbaalgos/ltl2tgba_fm.hh"
#include "tgbaalgos/emptinesscheck.hh"
#include "tgba/bddprint.hh"
//#include "tgba/tgbabddtranslatefactory.hh"
#include "tgbaalgos/dotty.hh"
void
syntax(char* prog)
{ std::cerr << "Usage: "<< prog << " [OPTIONS...] formula" << std::endl
<< std::endl
<< "Options:" << std::endl
<< " -a display the accepting_conditions BDD, not the reachability graph"
<< std::endl
<< " -A same as -a, but as a set" << std::endl
<< " -d turn on traces during parsing" << std::endl
<< " -c emptinesschecking + counter example" << std::endl
<< " -e emptinesschecking for the automaton" << std::endl
<< " -o re-order BDD variables in the automata" << std::endl
<< std::endl
<< " -r display the relation BDD, not the reachability graph"
<< std::endl
<< " -R same as -r, but as a set" << std::endl
<< " -v display the BDD variables used by the automaton"
<< std::endl;
exit(2);
}
std::string
print_emptiness_check_ans (bool ans)
{
if (ans)
{
return "EMPTY-LANGAGE";
}
else
{
return "CONSISTENT-AUTOMATA";
}
}
int
main(int argc, char** argv)
{
int exit_code = 0;
bool debug_opt = false;
bool defrag_opt = false;
spot::emptiness_check* empty_check = new spot::emptiness_check();
bool emptiness = true;
int output = 0;
int formula_index = 0;
for (;;)
{
if (argc < formula_index + 2)
syntax(argv[0]);
++formula_index;
if (!strcmp(argv[formula_index], "-a"))
{
output = 2;
}
else if (!strcmp(argv[formula_index], "-A"))
{
output = 4;
}
else if (!strcmp(argv[formula_index], "-d"))
{
debug_opt = true;
}
else if (!strcmp(argv[formula_index], "-e"))
{
output = 6;
}
else if (!strcmp(argv[formula_index], "-c"))
{
output = 7;
}
else if (!strcmp(argv[formula_index], "-o"))
{
defrag_opt = true;
}
else if (!strcmp(argv[formula_index], "-r"))
{
output = 1;
}
else if (!strcmp(argv[formula_index], "-R"))
{
output = 3;
}
else if (!strcmp(argv[formula_index], "-v"))
{
output = 5;
}
else
{
break;
}
}
spot::ltl::environment& env(spot::ltl::default_environment::instance());
spot::ltl::parse_error_list pel;
spot::ltl::formula* f = spot::ltl::parse(argv[formula_index],
pel, env, debug_opt);
exit_code = spot::ltl::format_parse_errors(std::cerr, argv[formula_index], pel);
spot::bdd_dict* dict = new spot::bdd_dict();
if (f)
{
spot::tgba_explicit* a = spot::ltl_to_tgba_fm(f, dict);
spot::ltl::destroy(f);
switch (output)
{
case 6:
emptiness = empty_check->tgba_emptiness_check(a);
std::cout << print_emptiness_check_ans(emptiness) << std::endl;
break;
case 7:
empty_check->counter_example(a);
break;
default:
assert(!"unknown output option");
}
delete a;
delete empty_check;
}
else
{
exit_code = 1;
}
assert(spot::ltl::atomic_prop::instance_count() == 0);
assert(spot::ltl::unop::instance_count() == 0);
assert(spot::ltl::binop::instance_count() == 0);
assert(spot::ltl::multop::instance_count() == 0);
delete dict;
return exit_code;
}

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@ -0,0 +1,20 @@
#!/bin/sh
. ./defs
set -e
# We don't check the output, but just running these might be enough to
# trigger assertions.
./emptinesscheck -e 'a'
./emptinesscheck -e 'a U b'
./emptinesscheck -e 'X a'
./emptinesscheck -e 'a & b & c'
./emptinesscheck -e 'a | b | (c U (d & (g U (h ^ i))))'
./emptinesscheck -e 'Xa & (b U !a) & (b U !a)'
./emptinesscheck -e 'Fa & Xb & GFc & Gd'
./emptinesscheck -e 'Fa & Xa & GFc & Gc'
./emptinesscheck -e 'Fc & X(a | Xb) & GF(a | Xb) & Gc'
./emptinesscheck -e '!((FF a) <=> (F x))'
./emptinesscheck -e '!((FF a) <=> (F a))'

View file

@ -0,0 +1,46 @@
#include <iostream>
#include "tgbaparse/public.hh"
#include "tgba/tgbaexplicit.hh"
#include "tgbaalgos/dotty.hh"
#include "tgbaalgos/emptinesscheck.hh"
void
syntax(char* prog)
{
std::cerr << prog << " [-d] filename" << std::endl;
exit(2);
}
int
main(int argc, char** argv)
{
int exit_code = 0;
if (argc < 2)
syntax(argv[0]);
bool debug = false;
int filename_index = 1;
bool emptiness = false;
if (!strcmp(argv[1], "-d"))
{
debug = true;
if (argc < 3)
syntax(argv[0]);
filename_index = 2;
}
spot::ltl::environment& env(spot::ltl::default_environment::instance());
spot::tgba_parse_error_list pel;
spot::bdd_dict* dict = new spot::bdd_dict();
spot::tgba_explicit* a = spot::tgba_parse(argv[filename_index],
pel, dict, env, debug);
spot::emptiness_check empty_check;
if (spot::format_tgba_parse_errors(std::cerr, pel))
return 2;
empty_check.counter_example(a);
delete a;
return 0;
}

View file

@ -0,0 +1,14 @@
#!/bin/sh
. ./defs
set -e
cat >input <<'EOF'
acc = c d;
s1, "s2", a!b, c d;
"s2", "state 3", a, c;
"state 3", s1,,;
EOF
./emptinesscheckexplicit input > stdout