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https://github.com/Z3Prover/z3
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adding comments
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6da167ec09
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1 changed files with 25 additions and 28 deletions
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@ -100,8 +100,7 @@ namespace search_tree {
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bool has_core() const { return !m_core.empty(); }
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void set_core(vector<literal> const &core) {
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m_core = core; // just copy the Z3 vector
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// no sort, no deduplication
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m_core = core;
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}
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vector<literal> const & get_core() const { return m_core; }
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void clear_core() { m_core.clear(); }
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@ -163,7 +162,11 @@ namespace search_tree {
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}
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}
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vector<literal> compute_resolvent(node<Config>* left, node<Config>* right) {
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// Given complementary sibling nodes for literals x and ¬x, sibling resolvent = (core_left ∪ core_right) \ {x, ¬x}
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// if there are other complements in the union of the cores, they are not removed, but that is ok, because the core is
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// strengthened, and these complements came from a higher-up branch, which will be resolved away recursively as we move up the tree
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// in conclusion: the sibling resolvent only promises to eliminate the split variable’s literal/complement.Other complements may still appear, which is ok since they just reflect conflicts from higher up the path.
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vector<literal> compute_sibling_resolvent(node<Config>* left, node<Config>* right) {
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vector<literal> res;
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if (!left->has_core() || !right->has_core()) return res;
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@ -175,7 +178,6 @@ namespace search_tree {
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auto &core_l = left->get_core();
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auto &core_r = right->get_core();
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// Helper to check if a literal is already in the vector
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auto contains = [](vector<literal> const &v, literal const &l) {
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for (unsigned i = 0; i < v.size(); ++i)
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if (v[i] == l) return true;
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@ -205,40 +207,37 @@ namespace search_tree {
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auto left = p->left();
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auto right = p->right();
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if (!left || !right) return;
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// only attempt when both children are closed and at least one has a core
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if (left->get_status() != status::closed || right->get_status() != status::closed) return;
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if (!left->has_core() || !right->has_core()) return;
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// compute resolvent
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auto resolvent = compute_resolvent(left, right);
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auto resolvent = compute_sibling_resolvent(left, right);
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if (resolvent.empty()) {
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// resolvent empty => unsat at root-subtree under p
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// sibling resolvent empty => p and its subtree are unsat
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p->set_core(resolvent); // empty core
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close_node(p);
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// mark root closed if p == m_root?
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if (p == m_root.get()) {
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m_root->set_status(status::closed);
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}
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// continue upward in case parent's sibling can now resolve
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p = p->parent();
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continue;
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}
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// If resolvent is identical to existing core at p we are done.
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if (p->has_core()) {
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// if new core doesn't strengthen, stop.
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// if new core is same as existing core, stop (skip the more complicated subsumption check for now)
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if (resolvent == p->get_core()) return;
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// if new core subsumes old, replace; else maybe keep both (choose policy).
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}
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// attach resolvent to parent p and close p
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// attach sibling resolvent to parent p and close p
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p->set_core(resolvent);
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close_node(p);
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// continue upward to see if parent can further resolve
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p = p->parent();
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}
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}
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public:
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tree(literal const& null_literal) : m_null_literal(null_literal) {
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reset();
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}
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@ -285,20 +284,18 @@ namespace search_tree {
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};
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SASSERT(all_of(conflict, [&](auto const& a) { return on_path(a); }));
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);
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// find the node on the path whose literal is in conflict
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node<Config>* target = n;
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while (target) {
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if (any_of(conflict, [&](auto const& a) { return a == target->get_literal(); })) {
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// store the conflict on the node that closes
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target->set_core(conflict);
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// close the subtree under target (preserves core on target)
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close_node(target);
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// now attempt to resolve upwards (recursive collapse)
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try_resolve_upwards(target->parent());
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while (n) {
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if (any_of(conflict, [&](auto const& a) { return a == n->get_literal(); })) {
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n->set_core(conflict);
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// close the subtree under n (preserves core attached to n), and attempt to resolve upwards
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close_node(n);
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try_resolve_upwards(n->parent());
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return;
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}
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target = target->parent();
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n = n->parent();
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}
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UNREACHABLE();
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}
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