/*++ Copyright (c) 2024 Microsoft Corporation Module Name: smt_sls.cpp Abstract: A Stochastic Local Search (SLS) Context. Author: Nikolaj Bjorner (nbjorner) 2024-06-24 --*/ #include "ast/sls/sls_context.h" #include "ast/sls/sls_euf_plugin.h" #include "ast/sls/sls_arith_plugin.h" #include "ast/sls/sls_bv_plugin.h" #include "ast/sls/sls_basic_plugin.h" #include "ast/ast_ll_pp.h" #include "ast/ast_pp.h" #include "smt/params/smt_params_helper.hpp" namespace sls { plugin::plugin(context& c): ctx(c), m(c.get_manager()) { } context::context(ast_manager& m, sat_solver_context& s) : m(m), s(s), m_atoms(m), m_allterms(m), m_gd(*this), m_ld(*this), m_repair_down(m.get_num_asts(), m_gd), m_repair_up(m.get_num_asts(), m_ld) { register_plugin(alloc(euf_plugin, *this)); register_plugin(alloc(arith_plugin, *this)); register_plugin(alloc(bv_plugin, *this)); register_plugin(alloc(basic_plugin, *this)); } void context::updt_params(params_ref const& p) { smt_params_helper smtp(p); m_rand.set_seed(smtp.random_seed()); } void context::register_plugin(plugin* p) { m_plugins.reserve(p->fid() + 1); m_plugins.set(p->fid(), p); } void context::register_atom(sat::bool_var v, expr* e) { m_atoms.setx(v, e); m_atom2bool_var.setx(e->get_id(), v, sat::null_bool_var); } void context::on_restart() { for (auto p : m_plugins) if (p) p->on_restart(); } lbool context::check() { // // initialize data-structures if not done before. // identify minimal feasible assignment to literals. // sub-expressions within assignment are relevant. // Use timestamps to make it incremental. // init(); //verbose_stream() << "check " << unsat().size() << "\n"; while (unsat().empty() && m.inc()) { propagate_boolean_assignment(); // verbose_stream() << "propagate " << unsat().size() << " " << m_new_constraint << "\n"; // display(verbose_stream()); if (m_new_constraint || !unsat().empty()) return l_undef; if (all_of(m_plugins, [&](auto* p) { return !p || p->is_sat(); })) { model_ref mdl = alloc(model, m); for (expr* e : subterms()) if (is_uninterp_const(e)) mdl->register_decl(to_app(e)->get_decl(), get_value(e)); for (auto p : m_plugins) if (p) p->mk_model(*mdl); s.on_model(mdl); // verbose_stream() << *mdl << "\n"; TRACE("sls", display(tout)); return l_true; } } return l_undef; } void context::propagate_boolean_assignment() { reinit_relevant(); for (sat::literal lit : root_literals()) { propagate_literal(lit); if (m_new_constraint) return; } while (!m_new_constraint && m.inc() && (!m_repair_up.empty() || !m_repair_down.empty())) { while (!m_repair_down.empty() && !m_new_constraint && m.inc()) { auto id = m_repair_down.erase_min(); expr* e = term(id); TRACE("sls", tout << "repair down " << mk_bounded_pp(e, m) << "\n"); if (is_app(e)) { auto p = m_plugins.get(get_fid(e), nullptr); ++m_stats.m_num_repair_down; if (p && !p->repair_down(to_app(e)) && !m_repair_up.contains(e->get_id())) { IF_VERBOSE(3, verbose_stream() << "revert repair: " << mk_bounded_pp(e, m) << "\n"); m_repair_up.insert(e->get_id()); } } } while (!m_repair_up.empty() && !m_new_constraint && m.inc()) { auto id = m_repair_up.erase_min(); expr* e = term(id); ++m_stats.m_num_repair_up; TRACE("sls", tout << "repair up " << mk_bounded_pp(e, m) << "\n"); if (is_app(e)) { auto p = m_plugins.get(get_fid(e), nullptr); if (p) p->repair_up(to_app(e)); } } } repair_literals(); // propagate "final checks" bool propagated = true; while (propagated && !m_new_constraint) { propagated = false; for (auto p : m_plugins) propagated |= p && !m_new_constraint && p->propagate(); } } void context::repair_literals() { for (sat::bool_var v = 0; v < s.num_vars() && !m_new_constraint; ++v) { auto a = atom(v); if (!a) continue; sat::literal lit(v, !is_true(v)); auto p = m_plugins.get(get_fid(a), nullptr); if (p) p->repair_literal(lit); } } family_id context::get_fid(expr* e) const { if (!is_app(e)) return null_family_id; family_id fid = to_app(e)->get_family_id(); if (m.is_eq(e)) fid = to_app(e)->get_arg(0)->get_sort()->get_family_id(); return fid; } void context::propagate_literal(sat::literal lit) { if (!is_true(lit)) return; auto a = atom(lit.var()); if (!a) return; family_id fid = get_fid(a); auto p = m_plugins.get(fid, nullptr); if (p) p->propagate_literal(lit); } bool context::is_true(expr* e) { SASSERT(m.is_bool(e)); auto v = m_atom2bool_var.get(e->get_id(), sat::null_bool_var); if (v != sat::null_bool_var) return m.is_true(m_plugins[basic_family_id]->get_value(e)); else return is_true(v); } bool context::is_fixed(expr* e) { // is this a Boolean literal that is a unit? return false; } expr_ref context::get_value(expr* e) { sort* s = e->get_sort(); auto fid = s->get_family_id(); auto p = m_plugins.get(fid, nullptr); if (p) return p->get_value(e); UNREACHABLE(); return expr_ref(e, m); } bool context::set_value(expr * e, expr * v) { for (auto p : m_plugins) if (p && p->set_value(e, v)) return true; return false; } bool context::is_relevant(expr* e) { unsigned id = e->get_id(); if (m_relevant.contains(id)) return true; if (m_visited.contains(id)) return false; m_visited.insert(id); for (auto p : m_parents[id]) { if (is_relevant(p)) { m_relevant.insert(id); return true; } } return false; } void context::add_constraint(expr* e) { add_clause(e); m_new_constraint = true; } void context::add_clause(expr* f) { expr_ref _e(f, m); expr* g, * h, * k; sat::literal_vector clause; if (m.is_not(f, g) && m.is_not(g, g)) { add_clause(g); return; } bool sign = m.is_not(f, f); if (!sign && m.is_or(f)) { clause.reset(); for (auto arg : *to_app(f)) clause.push_back(mk_literal(arg)); s.add_clause(clause.size(), clause.data()); } else if (!sign && m.is_and(f)) { for (auto arg : *to_app(f)) add_clause(arg); } else if (sign && m.is_or(f)) { for (auto arg : *to_app(f)) { expr_ref fml(m.mk_not(arg), m);; add_clause(fml); } } else if (sign && m.is_and(f)) { clause.reset(); for (auto arg : *to_app(f)) clause.push_back(~mk_literal(arg)); s.add_clause(clause.size(), clause.data()); } else if (m.is_iff(f, g, h)) { auto lit1 = mk_literal(g); auto lit2 = mk_literal(h); sat::literal cls1[2] = { sign ? lit1 : ~lit1, lit2 }; sat::literal cls2[2] = { sign ? ~lit1 : lit1, ~lit2 }; s.add_clause(2, cls1); s.add_clause(2, cls2); } else if (m.is_ite(f, g, h, k)) { auto lit1 = mk_literal(g); auto lit2 = mk_literal(h); auto lit3 = mk_literal(k); // (g -> h) & (~g -> k) // (g & h) | (~g & k) // negated: (g -> ~h) & (g -> ~k) sat::literal cls1[2] = { ~lit1, sign ? ~lit2 : lit2 }; sat::literal cls2[2] = { lit1, sign ? ~lit3 : lit3 }; s.add_clause(2, cls1); s.add_clause(2, cls2); } else { sat::literal lit = mk_literal(f); if (sign) lit.neg(); s.add_clause(1, &lit); } } sat::literal context::mk_literal() { sat::bool_var v = s.add_var(); return sat::literal(v, false); } sat::literal context::mk_literal(expr* e) { expr_ref _e(e, m); sat::literal lit; bool neg = false; expr* a, * b, * c; while (m.is_not(e, e)) neg = !neg; auto v = m_atom2bool_var.get(e->get_id(), sat::null_bool_var); if (v != sat::null_bool_var) return sat::literal(v, neg); sat::literal_vector clause; lit = mk_literal(); register_atom(lit.var(), e); if (m.is_true(e)) { clause.push_back(lit); s.add_clause(clause.size(), clause.data()); } else if (m.is_false(e)) { clause.push_back(~lit); s.add_clause(clause.size(), clause.data()); } else if (m.is_and(e)) { for (expr* arg : *to_app(e)) { auto lit2 = mk_literal(arg); clause.push_back(~lit2); sat::literal lits[2] = { ~lit, lit2 }; s.add_clause(2, lits); } clause.push_back(lit); s.add_clause(clause.size(), clause.data()); } else if (m.is_or(e)) { for (expr* arg : *to_app(e)) { auto lit2 = mk_literal(arg); clause.push_back(lit2); sat::literal lits[2] = { lit, ~lit2 }; s.add_clause(2, lits); } clause.push_back(~lit); s.add_clause(clause.size(), clause.data()); } else if (m.is_iff(e, a, b) || m.is_xor(e, a, b)) { auto lit1 = mk_literal(a); auto lit2 = mk_literal(b); if (m.is_xor(e)) lit2.neg(); sat::literal cls1[3] = { ~lit, ~lit1, lit2 }; sat::literal cls2[3] = { ~lit, lit1, ~lit2 }; sat::literal cls3[3] = { lit, lit1, lit2 }; sat::literal cls4[3] = { lit, ~lit1, ~lit2 }; s.add_clause(3, cls1); s.add_clause(3, cls2); s.add_clause(3, cls3); s.add_clause(3, cls4); } else if (m.is_ite(e, a, b, c)) { auto lit1 = mk_literal(a); auto lit2 = mk_literal(b); auto lit3 = mk_literal(c); sat::literal cls1[3] = { ~lit, ~lit1, lit2 }; sat::literal cls2[3] = { ~lit, lit1, lit3 }; sat::literal cls3[3] = { lit, ~lit1, ~lit2 }; sat::literal cls4[3] = { lit, lit1, ~lit3 }; s.add_clause(3, cls1); s.add_clause(3, cls2); s.add_clause(3, cls3); s.add_clause(3, cls4); } else register_terms(e); return neg ? ~lit : lit; } void context::init() { m_new_constraint = false; if (m_initialized) return; m_initialized = true; m_unit_literals.reset(); m_unit_indices.reset(); for (auto const& clause : s.clauses()) if (clause.m_clause.size() == 1) m_unit_literals.push_back(clause.m_clause[0]); for (sat::literal lit : m_unit_literals) m_unit_indices.insert(lit.index()); verbose_stream() << "UNITS " << m_unit_literals << "\n"; for (auto a : m_atoms) if (a) register_terms(a); for (auto p : m_plugins) if (p) p->initialize(); } void context::register_terms(expr* e) { auto is_visited = [&](expr* e) { return nullptr != m_allterms.get(e->get_id(), nullptr); }; auto visit = [&](expr* e) { m_allterms.setx(e->get_id(), e); }; if (is_visited(e)) return; m_subterms.reset(); m_todo.push_back(e); if (m_todo.size() > 1) return; while (!m_todo.empty()) { expr* e = m_todo.back(); if (is_visited(e)) m_todo.pop_back(); else if (is_app(e)) { if (all_of(*to_app(e), [&](expr* arg) { return is_visited(arg); })) { for (expr* arg : *to_app(e)) { m_parents.reserve(arg->get_id() + 1); m_parents[arg->get_id()].push_back(e); } if (m.is_bool(e)) mk_literal(e); register_term(e); visit(e); m_todo.pop_back(); } else { for (expr* arg : *to_app(e)) m_todo.push_back(arg); } } else { register_term(e); visit(e); m_todo.pop_back(); } } } void context::new_value_eh(expr* e) { DEBUG_CODE( if (m.is_bool(e)) { auto v = m_atom2bool_var.get(e->get_id(), sat::null_bool_var); if (v != sat::null_bool_var) { SASSERT(m.is_true(get_value(e)) == is_true(v)); } } ); m_repair_down.reserve(e->get_id() + 1); m_repair_up.reserve(e->get_id() + 1); SASSERT(e == term(e->get_id())); if (!m_repair_down.contains(e->get_id())) m_repair_down.insert(e->get_id()); for (auto p : parents(e)) { m_repair_up.reserve(p->get_id() + 1); m_repair_down.reserve(p->get_id() + 1); if (!m_repair_up.contains(p->get_id())) m_repair_up.insert(p->get_id()); } } void context::register_term(expr* e) { for (auto p : m_plugins) if (p) p->register_term(e); } ptr_vector const& context::subterms() { if (!m_subterms.empty()) return m_subterms; for (auto e : m_allterms) if (e) m_subterms.push_back(e); std::stable_sort(m_subterms.begin(), m_subterms.end(), [](expr* a, expr* b) { return a->get_id() < b->get_id(); }); return m_subterms; } void context::reinit_relevant() { m_relevant.reset(); m_visited.reset(); m_root_literals.reset(); for (auto const& clause : s.clauses()) { bool has_relevant = false; unsigned n = 0; sat::literal selected_lit = sat::null_literal; for (auto lit : clause) { auto atm = m_atoms.get(lit.var(), nullptr); if (!atm) continue; auto a = atm->get_id(); if (!is_true(lit)) continue; if (m_relevant.contains(a)) { has_relevant = true; break; } if (m_rand() % ++n == 0) selected_lit = lit; } if (!has_relevant && selected_lit != sat::null_literal) { m_relevant.insert(m_atoms[selected_lit.var()]->get_id()); m_root_literals.push_back(selected_lit); } } shuffle(m_root_literals.size(), m_root_literals.data(), m_rand); } std::ostream& context::display(std::ostream& out) const { for (auto id : m_repair_down) out << "d " << mk_bounded_pp(term(id), m) << "\n"; for (auto id : m_repair_up) out << "u " << mk_bounded_pp(term(id), m) << "\n"; for (unsigned v = 0; v < m_atoms.size(); ++v) { auto e = m_atoms[v]; if (e) out << v << ": " << mk_bounded_pp(e, m) << " := " << (is_true(v)?"T":"F") << "\n"; } for (auto p : m_plugins) if (p) p->display(out); return out; } void context::collect_statistics(statistics& st) const { for (auto p : m_plugins) if (p) p->collect_statistics(st); st.update("sls-repair-down", m_stats.m_num_repair_down); st.update("sls-repair-up", m_stats.m_num_repair_up); } void context::reset_statistics() { for (auto p : m_plugins) if (p) p->reset_statistics(); m_stats.reset(); } }