Heuristics for SCC strength
Provides 3 heurisitics to compute the strength of an SCC: inherent, structural and syntactic * src/tgbaalgos/isweakscc.cc: implementation * src/tgbaalgos/isweakscc.hh: definition
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2 changed files with 148 additions and 5 deletions
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@ -20,6 +20,8 @@
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# define SPOT_TGBAALGOS_ISWEAKSCC_CC
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#include "cycles.hh"
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#include "tgba/tgbaexplicit.hh"
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#include "ltlast/formula.hh"
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namespace spot
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{
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@ -62,18 +64,17 @@ namespace spot
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}
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};
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}
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bool
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is_weak_scc(scc_map& map, unsigned scc)
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is_weak_scc(scc_map& map, unsigned scc, bool easydetect)
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{
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// If no cycle is accepting, the SCC is weak.
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if (!map.accepting(scc))
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return true;
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// If all transitions use all acceptance conditions, the SCC is weak.
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if (map.useful_acc_of(scc) ==
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bdd_support(map.get_aut()->neg_acceptance_conditions()))
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if (easydetect && map.useful_acc_of(scc) ==
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bdd_support(map.get_aut()->neg_acceptance_conditions()))
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return true;
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// If the SCC is accepting, but one cycle is not, the SCC is not
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// weak.
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@ -82,7 +83,106 @@ namespace spot
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return w.result;
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}
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bool
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is_syntactic_weak_scc(const spot::tgba *a, scc_map& map, unsigned scc)
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{
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const std::list<const spot::state*> states = map.states_of(scc);
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std::list<const spot::state*>::const_iterator it;
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for (it = states.begin(); it != states.end(); it++)
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{
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const state_explicit_formula *s =
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dynamic_cast<const state_explicit_formula *>(*it);
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const ltl::formula *f = dynamic_cast<const ltl::formula*>
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(((const tgba_explicit_formula*) a)->get_label(s));
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if ((f->is_syntactic_obligation() ||
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f->is_syntactic_persistence() ||
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f->is_syntactic_safety()))
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return true;
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}
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return false;
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}
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bool
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is_syntactic_terminal_scc(const spot::tgba *a, scc_map& map, unsigned scc)
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{
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const std::list<const spot::state*> states = map.states_of(scc);
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std::list<const spot::state*>::const_iterator it;
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for (it = states.begin(); it != states.end(); it++)
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{
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const state_explicit_formula *s =
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dynamic_cast<const state_explicit_formula *>(*it);
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const ltl::formula *f = dynamic_cast<const ltl::formula*>
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(((const tgba_explicit_formula*) a)->get_label(s));
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if (f->is_syntactic_guarantee())
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return true;
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}
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return false;
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}
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bool
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is_weak_heuristic(scc_map& map, unsigned scc)
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{
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if (!map.accepting (scc))
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return true;
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if (map.useful_acc_of(scc) ==
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bdd_support(map.get_aut()->neg_acceptance_conditions()))
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return true;
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return false;
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}
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bool
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is_complete_scc(const spot::tgba *a, scc_map& map, unsigned scc)
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{
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const std::list<const spot::state*> states = map.states_of(scc);
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std::list<const spot::state*>::const_iterator it;
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for (it = states.begin(); it != states.end(); it++)
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{
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const state *s = (*it);
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tgba_succ_iterator* it = a->succ_iter(s);
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it->first();
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// No successors cannot be complete
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if (it->done())
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{
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delete it;
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return false;
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}
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bdd sumall = bddfalse;
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while (!it->done())
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{
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const state *next = it->current_state();
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unsigned sccnum = map.scc_of_state(next);
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// check it's the same scc
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if (sccnum == scc)
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sumall |= it->current_condition();
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next->destroy();
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it->next();
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}
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delete it;
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if (sumall != bddtrue)
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{
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return false;
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}
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}
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return true;
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}
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bool
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is_terminal_heuristic (const tgba *a, scc_map& map, unsigned scc)
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{
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// If all transitions use all acceptance conditions, the SCC is weak.
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if (map.useful_acc_of(scc) ==
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bdd_support(map.get_aut()->neg_acceptance_conditions()))
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return is_complete_scc(a, map, scc);
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return false;
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}
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}
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#endif // SPOT_TGBAALGOS_ISWEAKSCC_CC
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@ -38,7 +38,50 @@ namespace spot
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/// necessarily weak.
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/// For other accepting SCCs, this function enumerates all cycles in
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/// the given SCC (it stops if it find a non-accepting cycle).
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bool is_weak_scc(scc_map& map, unsigned scc);
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bool is_weak_scc(scc_map& map, unsigned scc, bool easydetect = true);
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/// \brief Whether the SCC number \a scc in \a map is complete
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///
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/// A SCC is complete iff for all states for all label there exist
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/// a transition that stay into this SCC.
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bool
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is_complete_scc(const tgba *a, scc_map& map, unsigned scc);
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/// \brief Whether the SCC number \a scc in \a map is syntactically weak.
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///
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/// An SCC is syntactically weak iff the lowest label of states inside
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/// this SCC corresponds to an obligation label
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///
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/// Work only on tgba where labels are formula
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///
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/// The scc_map \a map should have been built already. The absence
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/// of accepting cycle is easy to check (the scc_map can tell
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/// whether the SCC is non-accepting already). Similarly, an SCC in
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/// which all transitions belong to all acceptance sets is
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/// necessarily weak.
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/// For other accepting SCCs, this function enumerates all cycles in
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/// the given SCC (it stops if it find a non-accepting cycle).
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bool is_syntactic_weak_scc(const tgba *a, scc_map& map, unsigned scc);
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/// \brief wether a SCC is syntactically characterized by a gurarantee
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/// formula
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///
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/// Work only on tgba where labels are formula
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bool is_syntactic_terminal_scc(const tgba *a, scc_map& map, unsigned scc);
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/// \brief wether a SCC is terminal using an heuristic
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///
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/// The heuristic try to characterize the SCC by loking if the SCC
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/// is complete and all cycle are fully accepting ( all transitions
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/// have all acceptance conditions)
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bool
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is_terminal_heuristic (const tgba *a, scc_map& map, unsigned scc);
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/// \brief wether a SCC is weak using an heuristic
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///
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/// The heuristic looks if all path are fully accepting
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bool
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is_weak_heuristic(scc_map& map, unsigned scc);
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/// @}
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}
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