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https://github.com/Z3Prover/z3
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sketch out euf-solver based on complete projection
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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44a32bc076
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@ -19,9 +19,12 @@ Revision History:
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--*/
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#include "ast/ast_util.h"
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#include "ast/for_each_expr.h"
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#include "ast/rewriter/bool_rewriter.h"
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#include "model/model_evaluator.h"
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#include "solver/solver.h"
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#include "qe/qe_mbi.h"
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#include "qe/qe_term_graph.h"
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namespace qe {
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@ -87,7 +90,35 @@ namespace qe {
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// -------------------------------
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// euf_mbi, TBD
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euf_mbi_plugin::euf_mbi_plugin(solver* s): m(s->get_manager()), m_solver(s) {}
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struct euf_mbi_plugin::is_atom_proc {
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ast_manager& m;
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expr_ref_vector& m_atoms;
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is_atom_proc(expr_ref_vector& atoms): m(atoms.m()), m_atoms(atoms) {}
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void operator()(app* a) {
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if (m.is_eq(a)) {
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m_atoms.push_back(a);
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}
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else if (m.is_bool(a) && a->get_family_id() != m.get_basic_family_id()) {
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m_atoms.push_back(a);
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}
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}
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void operator()(expr*) {}
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};
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euf_mbi_plugin::euf_mbi_plugin(solver* s, solver* sNot):
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m(s->get_manager()),
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m_atoms(m),
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m_solver(s),
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m_dual_solver(sNot)
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{
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expr_ref_vector fmls(m);
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m_solver->get_assertions(fmls);
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expr_fast_mark1 marks;
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is_atom_proc proc(m_atoms);
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for (expr* e : fmls) {
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quick_for_each_expr(proc, marks, e);
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}
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}
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mbi_result euf_mbi_plugin::operator()(func_decl_ref_vector const& vars, expr_ref_vector& lits, model_ref& mdl) {
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lbool r = m_solver->check_sat(lits);
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@ -95,16 +126,39 @@ namespace qe {
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case l_false:
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lits.reset();
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m_solver->get_unsat_core(lits);
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// optionally minimize core using superposition.
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return mbi_unsat;
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case l_true: {
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expr_ref_vector fmls(m);
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m_solver->get_model(mdl);
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model_evaluator mev(*mdl.get());
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lits.reset();
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// 1. extract formulas from solver
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// 2. extract implicant over formulas
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// 3. extract equalities or other assignments over the congruence classes
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m_solver->get_assertions(fmls);
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NOT_IMPLEMENTED_YET();
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for (expr* e : m_atoms) {
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if (mev.is_true(e)) {
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lits.push_back(e);
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}
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else if (mev.is_false(e)) {
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lits.push_back(m.mk_not(e));
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}
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}
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r = m_dual_solver->check_sat(lits);
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expr_ref_vector core(m);
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term_graph tg(m);
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switch (r) {
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case l_false:
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// use the dual solver to find a 'small' implicant
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m_dual_solver->get_unsat_core(core);
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// project the implicant onto vars
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tg.add_lits(core);
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lits.reset();
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lits.append(tg.project(vars, false));
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return mbi_sat;
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case l_undef:
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return mbi_undef;
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case l_true:
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UNREACHABLE();
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return mbi_undef;
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}
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return mbi_sat;
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}
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default:
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@ -76,8 +76,11 @@ namespace qe {
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class euf_mbi_plugin : public mbi_plugin {
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ast_manager& m;
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solver_ref m_solver;
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solver_ref m_dual_solver;
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expr_ref_vector m_atoms;
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struct is_atom_proc;
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public:
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euf_mbi_plugin(solver* s);
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euf_mbi_plugin(solver* s, solver* sNot);
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~euf_mbi_plugin() override {}
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mbi_result operator()(func_decl_ref_vector const& vars, expr_ref_vector& lits, model_ref& mdl) override;
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void block(expr_ref_vector const& lits) override;
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@ -35,7 +35,6 @@ namespace qe {
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term* m_next;
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// -- eq class size
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unsigned m_class_size;
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// -- general purpose mark
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unsigned m_mark:1;
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// -- general purpose second mark
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@ -160,12 +159,10 @@ namespace qe {
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};
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class arith_term_graph_plugin : public term_graph_plugin {
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term_graph &m_g;
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ast_manager &m;
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arith_util m_arith;
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public:
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arith_term_graph_plugin(term_graph &g) :
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term_graph_plugin (g.get_ast_manager().mk_family_id("arith")),
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@ -177,7 +174,6 @@ namespace qe {
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expr *e1, *e2;
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e1 = _e1;
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e2 = _e2;
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if (m_arith.is_zero(e1)) {
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std::swap(e1, e2);
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}
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@ -245,7 +241,6 @@ namespace qe {
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}
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return false;
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}
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expr * mk_zero () {return m_arith.mk_numeral (rational (0), true);}
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bool is_one (expr const * n) const {
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rational val;
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@ -292,12 +287,10 @@ namespace qe {
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else if (m_arith.is_ge(lit, e1, e2)) {
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mk_ge_core(e1, e2, res);
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}
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// restore negation
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if (is_neg) {
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res = mk_not(m, res);
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}
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return res;
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}
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};
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@ -331,7 +324,6 @@ namespace qe {
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return null_family_id;
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}
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}
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void term_graph::add_lit(expr *l) {
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expr_ref lit(m);
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@ -509,7 +501,6 @@ namespace qe {
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void term_graph::mk_equalities(term const &t, expr_ref_vector &out) {
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SASSERT(t.is_root());
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expr_ref rep(mk_app(t), m);
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for (term *it = &t.get_next(); it != &t; it = &it->get_next()) {
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expr* mem = mk_app_core(it->get_app());
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out.push_back (m.mk_eq (rep, mem));
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}
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}
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expr_ref term_graph::to_app() {
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expr_ref_vector lits(m);
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to_lits(lits);
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