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https://github.com/Z3Prover/z3
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added mbqi.id option, working on quantifiers in duality
This commit is contained in:
Ken McMillan
parent
a3462ba6aa
commit
56b3406ee5
14 changed files with 409 additions and 33 deletions
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@ -125,6 +125,32 @@ namespace Duality {
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}
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}
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int Z3User::CountOperatorsRec(hash_set<ast> &memo, const Term &t){
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if(memo.find(t) != memo.end())
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return 0;
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memo.insert(t);
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if(t.is_app()){
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decl_kind k = t.decl().get_decl_kind();
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if(k == And || k == Or){
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int count = 1;
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int nargs = t.num_args();
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for(int i = 0; i < nargs; i++)
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count += CountOperatorsRec(memo,t.arg(i));
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return count;
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}
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return 0;
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}
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if(t.is_quantifier())
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return CountOperatorsRec(memo,t.body())+1;
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return 0;
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}
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int Z3User::CountOperators(const Term &t){
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hash_set<ast> memo;
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return CountOperatorsRec(memo,t);
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}
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Z3User::Term Z3User::conjoin(const std::vector<Term> &args){
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return ctx.make(And,args);
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}
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@ -329,7 +355,15 @@ namespace Duality {
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res = f(args.size(),&args[0]);
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}
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else if (t.is_quantifier())
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res = CloneQuantifier(t,SubstRec(memo, t.body()));
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{
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std::vector<expr> pats;
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t.get_patterns(pats);
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for(unsigned i = 0; i < pats.size(); i++)
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pats[i] = SubstRec(memo,pats[i]);
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Term body = SubstRec(memo,t.body());
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res = clone_quantifier(t, body, pats);
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}
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// res = CloneQuantifier(t,SubstRec(memo, t.body()));
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else res = t;
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return res;
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}
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@ -552,7 +586,7 @@ namespace Duality {
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void RPFP::ConstrainEdgeLocalized(Edge *e, const Term &tl)
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{
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e->constraints.push_back(tl);
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stack.back().constraints.push_back(e);
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stack.back().constraints.push_back(std::pair<Edge *,Term>(e,tl));
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slvr.add(tl);
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}
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@ -1142,7 +1176,8 @@ namespace Duality {
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}
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}
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/* Unreachable! */
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std::cerr << "error in RPFP::ImplicantRed";
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// TODO: need to indicate this failure to caller
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// std::cerr << "error in RPFP::ImplicantRed";
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goto done;
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}
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else if(k == Not) {
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@ -1161,6 +1196,31 @@ namespace Duality {
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done[truth].insert(f);
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}
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void RPFP::ImplicantFullRed(hash_map<ast,int> &memo, const Term &f, std::vector<Term> &lits,
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hash_set<ast> &done, hash_set<ast> &dont_cares){
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if(done.find(f) != done.end())
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return; /* already processed */
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if(f.is_app()){
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int nargs = f.num_args();
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decl_kind k = f.decl().get_decl_kind();
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if(k == Implies || k == Iff || k == And || k == Or || k == Not){
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for(int i = 0; i < nargs; i++)
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ImplicantFullRed(memo,f.arg(i),lits,done,dont_cares);
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goto done;
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}
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}
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{
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if(dont_cares.find(f) == dont_cares.end()){
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int b = SubtermTruth(memo,f);
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if(b != 0 && b != 1) goto done;
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expr bv = (b==1) ? f : !f;
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lits.push_back(bv);
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}
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}
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done:
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done.insert(f);
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}
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RPFP::Term RPFP::ResolveIte(hash_map<ast,int> &memo, const Term &t, std::vector<Term> &lits,
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hash_set<ast> *done, hash_set<ast> &dont_cares){
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if(resolve_ite_memo.find(t) != resolve_ite_memo.end())
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@ -1223,6 +1283,16 @@ namespace Duality {
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return conjoin(lits);
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}
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RPFP::Term RPFP::UnderapproxFullFormula(const Term &f, hash_set<ast> &dont_cares){
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/* first compute truth values of subterms */
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hash_map<ast,int> memo;
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hash_set<ast> done;
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std::vector<Term> lits;
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ImplicantFullRed(memo,f,lits,done,dont_cares);
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/* return conjunction of literals */
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return conjoin(lits);
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}
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struct VariableProjector : Z3User {
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struct elim_cand {
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@ -1759,6 +1829,17 @@ namespace Duality {
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ConstrainEdgeLocalized(edge,eu);
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}
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void RPFP::FixCurrentStateFull(Edge *edge){
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hash_set<ast> dont_cares;
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resolve_ite_memo.clear();
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timer_start("UnderapproxFormula");
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Term dual = edge->dual.null() ? ctx.bool_val(true) : edge->dual;
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for(unsigned i = 0; i < edge->constraints.size(); i++)
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dual = dual && edge->constraints[i];
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Term eu = UnderapproxFullFormula(dual,dont_cares);
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timer_stop("UnderapproxFormula");
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ConstrainEdgeLocalized(edge,eu);
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}
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RPFP::Term RPFP::ModelValueAsConstraint(const Term &t){
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@ -1803,6 +1884,7 @@ namespace Duality {
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res = CreateRelation(p->Annotation.IndParams,funder);
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}
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#if 0
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void RPFP::GreedyReduce(solver &s, std::vector<expr> &conjuncts){
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// verify
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s.push();
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@ -1829,6 +1911,36 @@ namespace Duality {
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}
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}
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}
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#endif
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void RPFP::GreedyReduce(solver &s, std::vector<expr> &conjuncts){
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std::vector<expr> lits(conjuncts.size());
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for(unsigned i = 0; i < lits.size(); i++){
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func_decl pred = ctx.fresh_func_decl("@alit", ctx.bool_sort());
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lits[i] = pred();
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s.add(ctx.make(Implies,lits[i],conjuncts[i]));
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}
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// verify
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check_result res = s.check(lits.size(),&lits[0]);
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if(res != unsat)
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throw "should be unsat";
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for(unsigned i = 0; i < conjuncts.size(); ){
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std::swap(conjuncts[i],conjuncts.back());
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std::swap(lits[i],lits.back());
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check_result res = s.check(lits.size()-1,&lits[0]);
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if(res != unsat){
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std::swap(conjuncts[i],conjuncts.back());
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std::swap(lits[i],lits.back());
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i++;
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}
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else {
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conjuncts.pop_back();
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lits.pop_back();
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}
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}
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}
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void RPFP::NegateLits(std::vector<expr> &lits){
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for(unsigned i = 0; i < lits.size(); i++){
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@ -1848,20 +1960,56 @@ namespace Duality {
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return ctx.make(Or,lits);
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}
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void RPFP::Generalize(Node *node){
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std::vector<expr> conjuncts;
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expr fmla = GetAnnotation(node);
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CollectConjuncts(fmla,conjuncts,false);
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// try to remove conjuncts one at a tme
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aux_solver.push();
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Edge *edge = node->Outgoing;
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// set up edge constraint in aux solver
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void RPFP::AddEdgeToSolver(Edge *edge){
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if(!edge->dual.null())
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aux_solver.add(edge->dual);
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for(unsigned i = 0; i < edge->constraints.size(); i++){
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expr tl = edge->constraints[i];
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aux_solver.add(tl);
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}
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GreedyReduce(aux_solver,conjuncts);
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}
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void RPFP::InterpolateByCases(Node *root, Node *node){
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aux_solver.push();
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AddEdgeToSolver(node->Outgoing);
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node->Annotation.SetEmpty();
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hash_set<ast> *core = new hash_set<ast>;
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core->insert(node->Outgoing->dual);
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while(1){
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aux_solver.push();
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aux_solver.add(!GetAnnotation(node));
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if(aux_solver.check() == unsat){
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aux_solver.pop(1);
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break;
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}
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dualModel = aux_solver.get_model();
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aux_solver.pop(1);
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Push();
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FixCurrentStateFull(node->Outgoing);
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ConstrainEdgeLocalized(node->Outgoing,!GetAnnotation(node));
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check_result foo = Check(root);
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if(foo != unsat)
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throw "should be unsat";
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AddToProofCore(*core);
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Transformer old_annot = node->Annotation;
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SolveSingleNode(root,node);
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Pop(1);
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node->Annotation.UnionWith(old_annot);
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}
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if(proof_core)
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delete proof_core; // shouldn't happen
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proof_core = core;
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aux_solver.pop(1);
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}
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void RPFP::Generalize(Node *root, Node *node){
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aux_solver.push();
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AddEdgeToSolver(node->Outgoing);
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expr fmla = GetAnnotation(node);
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std::vector<expr> conjuncts;
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CollectConjuncts(fmla,conjuncts,false);
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GreedyReduce(aux_solver,conjuncts); // try to remove conjuncts one at a tme
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aux_solver.pop(1);
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NegateLits(conjuncts);
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SetAnnotation(node,SimplifyOr(conjuncts));
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@ -1887,12 +2035,26 @@ namespace Duality {
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(*it)->dual = expr(ctx,NULL);
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for(std::list<Node *>::iterator it = back.nodes.begin(), en = back.nodes.end(); it != en; ++it)
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(*it)->dual = expr(ctx,NULL);
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for(std::list<Edge *>::iterator it = back.constraints.begin(), en = back.constraints.end(); it != en; ++it)
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(*it)->constraints.pop_back();
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for(std::list<std::pair<Edge *,Term> >::iterator it = back.constraints.begin(), en = back.constraints.end(); it != en; ++it)
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(*it).first->constraints.pop_back();
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stack.pop_back();
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}
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}
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/** Erase the proof by performing a Pop, Push and re-assertion of
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all the popped constraints */
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void RPFP::PopPush(){
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slvr.pop(1);
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slvr.push();
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stack_entry &back = stack.back();
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for(std::list<Edge *>::iterator it = back.edges.begin(), en = back.edges.end(); it != en; ++it)
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slvr.add((*it)->dual);
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for(std::list<Node *>::iterator it = back.nodes.begin(), en = back.nodes.end(); it != en; ++it)
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slvr.add((*it)->dual);
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for(std::list<std::pair<Edge *,Term> >::iterator it = back.constraints.begin(), en = back.constraints.end(); it != en; ++it)
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slvr.add((*it).second);
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}
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@ -2325,13 +2487,17 @@ namespace Duality {
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}
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void RPFP::AddToProofCore(hash_set<ast> &core){
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std::vector<expr> assumps;
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slvr.get_proof().get_assumptions(assumps);
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for(unsigned i = 0; i < assumps.size(); i++)
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core.insert(assumps[i]);
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}
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void RPFP::ComputeProofCore(){
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if(!proof_core){
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std::vector<expr> assumps;
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slvr.get_proof().get_assumptions(assumps);
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proof_core = new hash_set<ast>;
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for(unsigned i = 0; i < assumps.size(); i++)
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proof_core->insert(assumps[i]);
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AddToProofCore(*proof_core);
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}
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}
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