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https://github.com/Z3Prover/z3
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na
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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3 changed files with 50 additions and 12 deletions
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@ -347,12 +347,19 @@ namespace polysat {
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* If so, apply propagation.
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* 6. Otherwise, add accumulated constraints to explanation for the next viable solution, prune
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* viable solutions by excluding the previous guess.
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*
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* todos: replace accumulation of sub by something more incremental.
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*
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*/
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void solver::resolve_conflict() {
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SASSERT(m_conflict);
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constraint& c = *m_conflict;
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m_conflict = nullptr;
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pdd p = c.p();
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m_lemma_level = c.level();
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m_lemma_deps.reset();
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m_lemma_deps.push_back(c.dep());
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unsigned new_lemma_level = 0;
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reset_marks();
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for (auto v : c.vars())
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set_mark(v);
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@ -371,7 +378,7 @@ namespace polysat {
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report_unsat();
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return;
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}
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pdd r = resolve(v, p);
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pdd r = resolve(v, p, new_lemma_level);
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pdd rval = r.subst_val(sub);
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if (r.is_val() && rval.is_non_zero()) {
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report_unsat();
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@ -390,6 +397,7 @@ namespace polysat {
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for (auto w : r.free_vars())
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set_mark(w);
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p = r;
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m_lemma_level = new_lemma_level;
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}
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report_unsat();
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}
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@ -422,22 +430,29 @@ namespace polysat {
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// are in the unsat core that is produced as a side-effect
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}
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/**
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* variable v was assigned by a decision at position i in the search stack.
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* The polynomial p encodes an equality that the decision was infeasible.
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* The effect of this function is that the assignment to v is undone and replaced
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* by a new decision or unit propagation or conflict.
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* We add 'p == 0' as a lemma. The lemma depends on the dependencies used
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* to derive p, and the level of the lemma is the maximal level of the dependencies.
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*/
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void solver::revert_decision(pdd const& p, unsigned i) {
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auto v = m_search[i];
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SASSERT(m_justification[v].is_decision());
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SASSERT(m_lemma_level <= m_justification[v].level());
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//
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// TBD: compute level and dependencies for p
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// Dependencies should be accumulated during resolve_conflict
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// the level is computed from the free variables in p (except v)
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// it should correspond to the implication level.
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// TBD: convert m_lemma_deps into deps.
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// the scope of the new constraint should be confined to
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// m_lemma_level so could be below the current user scope.
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// What to do in this case is TBD.
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//
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unsigned level = 0;
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unsigned level = m_lemma_level;
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u_dependency* deps = nullptr;
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constraint* c = constraint::eq(level, p, deps);
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m_cjust[v].push_back(c);
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m_redundant.push_back(c);
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add_watch(*c);
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SASSERT(invariant(m_redundant)); // TBD enforce level invariant
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add_lemma(c);
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//
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// TBD: remove current value from viable
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// m_values[v]
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@ -445,7 +460,7 @@ namespace polysat {
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// 1. undo levels until i
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// 2. find a new decision if there is one,
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// propagate if decision is singular,
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// otherwise if there are no viable decisions, learn_and_backjump
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// otherwise if there are no viable decisions, backjump
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// and set a new conflict.
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//
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}
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@ -480,7 +495,8 @@ namespace polysat {
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* and maximal level of constraints so learned lemma
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* is given the appropriate level.
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*/
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pdd solver::resolve(unsigned v, pdd const& p) {
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pdd solver::resolve(unsigned v, pdd const& p, unsigned& resolve_level) {
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resolve_level = 0;
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auto degree = p.degree(v);
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auto const& cs = m_cjust[v];
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pdd r = p;
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@ -490,11 +506,26 @@ namespace polysat {
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// TODO binary resolve, update r using result
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// add parity condition to presere falsification
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degree = r.degree(v);
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resolve_level = std::max(resolve_level, c->level());
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m_lemma_deps.push_back(c->dep());
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}
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}
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}
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return r;
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}
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void solver::add_lemma(constraint* c) {
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add_watch(*c);
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m_redundant.push_back(c);
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for (unsigned i = m_redundant.size() - 1; i-- > 0; ) {
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auto* c1 = m_redundant[i + 1];
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auto* c2 = m_redundant[i];
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if (c1->level() >= c2->level())
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break;
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m_redundant.swap(i, i + 1);
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}
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SASSERT(invariant(m_redundant));
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}
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void solver::reset_marks() {
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m_marks.reserve(m_vars.size());
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@ -507,12 +538,14 @@ namespace polysat {
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void solver::push() {
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push_level();
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m_dep_manager.push_scope();
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m_scopes.push_back(m_level);
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}
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void solver::pop(unsigned num_scopes) {
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unsigned base_level = m_scopes[m_scopes.size() - num_scopes];
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pop_levels(m_level - base_level - 1);
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m_dep_manager.pop_scope(num_scopes);
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}
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bool solver::at_base_level() const {
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@ -168,8 +168,11 @@ namespace polysat {
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bool is_marked(unsigned v) const { return m_clock == m_marks[v]; }
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void set_mark(unsigned v) { m_marks[v] = m_clock; }
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unsigned m_lemma_level { 0 };
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ptr_vector<u_dependency> m_lemma_deps;
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pdd isolate(unsigned v);
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pdd resolve(unsigned v, pdd const& p);
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pdd resolve(unsigned v, pdd const& p, unsigned& resolve_level);
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void decide();
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bool is_conflict() const { return nullptr != m_conflict; }
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@ -181,6 +184,7 @@ namespace polysat {
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void report_unsat();
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void revert_decision(pdd const& p, unsigned i);
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void backjump(unsigned new_level);
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void add_lemma(constraint* c);
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bool can_decide() const { return !m_free_vars.empty(); }
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void decide(rational & val, unsigned& var);
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@ -39,6 +39,7 @@ public:
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dealloc(m_vector[idx]);
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m_vector[idx] = ptr;
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}
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void swap(unsigned i, unsigned j) { std::swap(m_vector[i], m_vector[j]); }
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unsigned size() const { return m_vector.size(); }
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bool empty() const { return m_vector.empty(); }
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void resize(unsigned sz) {
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