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https://github.com/Z3Prover/z3
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separate the logic again to avoid mutual recursion
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parent
21422fab8b
commit
b9fb032a67
1 changed files with 65 additions and 56 deletions
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@ -139,7 +139,41 @@ namespace search_tree {
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return nullptr;
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}
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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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// Invariants:
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// Cores labeling nodes are subsets of the literals on the path to the node and the (external) assumption literals.
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// If a parent is open, then the one of the children is open.
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void close_with_core(node<Config>* n, vector<literal> const &C, bool allow_resolve = true) {
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if (!n || n->get_status() == status::closed)
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return;
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n->set_core(C);
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n->set_status(status::closed);
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close_with_core(n->left(), C, false);
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close_with_core(n->right(), C, false);
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// stop at root
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if (!n->parent()) return;
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node<Config>* p = n->parent();
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if (!p) return; // root reached
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auto is_literal_in_core = [](literal const& l, vector<literal> const& C) {
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for (unsigned i = 0; i < C.size(); ++i)
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if (C[i] == l) return true;
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return false;
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};
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// case 1: current splitting literal not in the conflict core
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if (!is_literal_in_core(n->get_literal(), C)) {
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close_with_core(p, C);
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// case 2: both siblings closed -> resolve
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} else if (allow_resolve && p->left()->get_status() == status::closed && p->right()->get_status() == status::closed) {
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try_resolve_upwards(p);
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}
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}
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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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vector<literal> compute_sibling_resolvent(node<Config>* left, node<Config>* right) {
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vector<literal> res;
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@ -175,82 +209,61 @@ namespace search_tree {
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return res;
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}
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// Invariants:
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// Cores labeling nodes are subsets of the literals on the path to the node and the (external) assumption literals.
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// If a parent is open, then the one of the children is open.
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void propagate_and_close(node<Config>* n, vector<literal> const &C) {
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if (!n || n->get_status() == status::closed)
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return;
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n->set_core(C);
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n->set_status(status::closed);
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// Mark children closed as well (propagate same core for now)
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// this may result in redundant calls to propagate_and_close thru the subsequent bubbling up of resolutions,
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// but such calls should terminate immediately since the nodes are already closed, something like:
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// close(n)
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// ├─> close(p)
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// │ ├─> while-loop resolving upward from p
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// │ │ ├─> close(attach_here)
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// │ │ │ ├─> while-loop resolving upward from attach_here
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// │ │ │ ...
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// │ │ └─> continue upward
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// │ └─> return
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// └─> resume child’s while-loop (but ancestors already closed)
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propagate_and_close(n->left(), C);
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propagate_and_close(n->right(), C);
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node<Config>* p = n->parent();
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if (!p) return;
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auto is_literal_in_core = [](literal const& l, vector<literal> const& C) {
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return std::find(C.begin(), C.end(), l) != C.end();
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};
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// If current split literal not in conflict core → propagate closure upward
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if (!is_literal_in_core(n->get_literal(), C)) {
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propagate_and_close(p, C);
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return;
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}
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void try_resolve_upwards(node<Config>* p) {
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while (p) {
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// Otherwise, check if we can resolve with the sibling
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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 each 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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auto resolvent = compute_sibling_resolvent(left, right);
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// empty resolvent = global UNSAT
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// empty resolvent of sibling complement (i.e. tautology) -> global UNSAT
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if (resolvent.empty()) {
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propagate_and_close(m_root.get(), resolvent);
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close_with_core(m_root.get(), resolvent, false);
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return;
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}
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// if p already has the same core, nothing more to do
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if (p->has_core() && resolvent == p->get_core())
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return;
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// Bubble to the highest ancestor where ALL literals in the resolvent
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// are present somewhere on the path from that ancestor to root
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node<Config>* candidate = p;
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node<Config>* attach_here = p;
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node<Config>* attach_here = p; // fallback
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while (candidate) {
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bool all_found = true;
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for (auto const& r : resolvent) {
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bool found = false;
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for (node<Config>* q = candidate; q; q = q->parent()) {
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if (q->get_literal() == r) { found = true; break; }
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if (q->get_literal() == r) {
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found = true;
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break;
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}
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}
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if (!found) {
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all_found = false;
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break;
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}
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if (!found) { all_found = false; break; }
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}
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if (all_found)
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attach_here = candidate;
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if (all_found) {
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attach_here = candidate; // bubble up to this node
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}
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candidate = candidate->parent();
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}
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// attach the resolvent and close the subtree at attach_here
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if (!attach_here->has_core() || attach_here->get_core() != resolvent) {
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propagate_and_close(attach_here, resolvent);
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close_with_core(attach_here, resolvent, false);
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}
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// continue upward from parent of attach_here
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@ -258,7 +271,6 @@ namespace search_tree {
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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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@ -283,8 +295,7 @@ namespace search_tree {
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// they are subsets of the literals on the path from root to n AND the external assumption literals
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void backtrack(node<Config>* n, vector<literal> const& conflict) {
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if (conflict.empty()) {
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// close(m_root.get(), conflict);
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propagate_and_close(m_root.get(), conflict);
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close_with_core(m_root.get(), conflict);
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return;
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}
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SASSERT(n != m_root.get());
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@ -306,9 +317,7 @@ namespace search_tree {
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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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// close the subtree under n (preserves core attached to n), and attempt to resolve upwards
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// close(n, conflict);
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// try_resolve_upwards(n->parent());
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propagate_and_close(n, conflict);
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close_with_core(n, conflict);
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return;
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}
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