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diff --git a/src/nlsat/levelwise.cpp b/src/nlsat/levelwise.cpp new file mode 100644 index 000000000..41193ab9c --- /dev/null +++ b/src/nlsat/levelwise.cpp @@ -0,0 +1,290 @@ +#include "levelwise.h" +#include +#include +#include + +namespace nlsat { + + // Context for property propagation (e.g., which case of rule 4.2 applies) + enum class property_mapping_case : unsigned { + case1 = 0, + case2 = 1, + case3 = 2, + }; + + /** + * Properties for indexed roots, in the order specified by the levelwise paper. + * The order is important for the algorithm and must match the paper exactly. + */ + enum class polynom_property : unsigned { + ir_ord, // ir_ord(≼, s) for all ≼ for roots of level i and s ∈ Ri−1 + an_del, // an_del(p) for all p of level i + non_null, // non_null(p) for all p of level i + ord_inv_reducible, // ord_inv(p) for all reducible p of level i + ord_inv_irreducible, // ord_inv(p) for all irreducible p of level i + sgn_inv_reducible, // sgn_inv(p) for all reducible p of level i + sgn_inv_irreducible, // sgn_inv(p) for all irreducible p of level i + connected, // connected(i) + an_sub, // an_sub(i) + sample, // sample(s) for all s ∈ Ri of level i + repr, // repr(I, s) for all I of level i and s ∈ ... + holds, // marker for "goal holds" (terminal) + _count // always last: number of properties + }; + + // Utility: property to string (for debugging, logging, etc.) + inline const char* to_string(polynom_property prop) { + switch (prop) { + case polynom_property::ir_ord: return "ir_ord"; + case polynom_property::an_del: return "an_del"; + case polynom_property::non_null: return "non_null"; + case polynom_property::ord_inv_reducible: return "ord_inv_reducible"; + case polynom_property::ord_inv_irreducible: return "ord_inv_irreducible"; + case polynom_property::sgn_inv_reducible: return "sgn_inv_reducible"; + case polynom_property::sgn_inv_irreducible: return "sgn_inv_irreducible"; + case polynom_property::connected: return "connected"; + case polynom_property::an_sub: return "an_sub"; + case polynom_property::sample: return "sample"; + case polynom_property::repr: return "repr"; + case polynom_property::holds: return "holds"; + default: return "?"; + } + } + + // A single property instance ("fact") subject. + // Note: Not all fields are used by every property; unused fields are left at defaults. + struct property_inst { + polynom_property prop; + // Optional subject parameters + poly* p = nullptr; // for properties about a polynomial p + var y = -1; // variable (e.g., indexed root variable) + unsigned i = 0; // level/index (paper's i) + unsigned s_idx = 0; // index for "s ∈ R_i" (sample/root index), if applicable + unsigned I_idx = 0; // index for interval I (for repr), if applicable + unsigned ord_id = 0; // identifier for an indexed root ordering ≼, if applicable + + // Convenience builders + static property_inst of(poly* p, polynom_property prop, unsigned level) { + property_inst r{prop}; r.p = p; r.i = level; return r; + } + static property_inst at_level(polynom_property prop, unsigned level) { + property_inst r{prop}; r.i = level; return r; + } + static property_inst sample_at(unsigned s_idx, unsigned level) { + property_inst r{polynom_property::sample}; r.s_idx = s_idx; r.i = level; return r; + } + static property_inst repr_of(unsigned I_idx, unsigned s_idx, unsigned level) { + property_inst r{polynom_property::repr}; r.I_idx = I_idx; r.s_idx = s_idx; r.i = level; return r; + } + + // Display + std::string str() const { + std::ostringstream out; + out << to_string(prop) << "("; + bool first = true; + auto add = [&](std::string const& k, uint64_t v) { + if (!first) out << ", "; + first = false; + out << k << "=" << v; + }; + if (p) add("p", reinterpret_cast(p)); + if (y != -1) add("y", static_cast(y)); + add("i", i); + if (s_idx) add("s", s_idx); + if (I_idx) add("I", I_idx); + if (ord_id) add("ord", ord_id); + out << ")"; + return out.str(); + } + + // Equality (coarse; pointer identity for p is intentional) + bool operator==(property_inst const& o) const { + return prop == o.prop && + p == o.p && + y == o.y && + i == o.i && + s_idx == o.s_idx && + I_idx == o.I_idx && + ord_id == o.ord_id; + } + }; + + // Proof rule identifiers (align roughly with paper sections; can be refined later). + enum class proof_rule : unsigned { + // Skeleton rules; refine/extend as we implement specific inferences + axiom, // introduce a known/assumed property + derive, // generic derivation step (placeholder) + r_ir_ord, // rules for ir_ord propagation + r_an_del, + r_non_null, + r_ord_inv_red, + r_ord_inv_irred, + r_sgn_inv_red, + r_sgn_inv_irred, + r_connected, + r_an_sub, + r_sample, + r_repr, + r_close_holds // closes to 'holds' + }; + + inline const char* to_string(proof_rule r) { + switch (r) { + case proof_rule::axiom: return "axiom"; + case proof_rule::derive: return "derive"; + case proof_rule::r_ir_ord: return "r_ir_ord"; + case proof_rule::r_an_del: return "r_an_del"; + case proof_rule::r_non_null: return "r_non_null"; + case proof_rule::r_ord_inv_red: return "r_ord_inv_red"; + case proof_rule::r_ord_inv_irred:return "r_ord_inv_irred"; + case proof_rule::r_sgn_inv_red: return "r_sgn_inv_red"; + case proof_rule::r_sgn_inv_irred:return "r_sgn_inv_irred"; + case proof_rule::r_connected: return "r_connected"; + case proof_rule::r_an_sub: return "r_an_sub"; + case proof_rule::r_sample: return "r_sample"; + case proof_rule::r_repr: return "r_repr"; + case proof_rule::r_close_holds: return "r_close_holds"; + default: return "?"; + } + } + + // A single proof step: premises -> conclusion, with metadata. + struct proof_step { + proof_rule rule; + property_mapping_case ctx = property_mapping_case::case1; // for multi-case rules (e.g., 4.2) + std::vector premises; // indices into facts_ + unsigned conclusion; // index into facts_ + + std::string str(std::vector const& facts) const { + std::ostringstream out; + out << to_string(rule) << "[case=" << static_cast(ctx) << "]: "; + out << "{"; + for (unsigned k = 0; k < premises.size(); ++k) { + if (k) out << ", "; + out << facts[premises[k]].str(); + } + out << "} => " << facts[conclusion].str(); + return out.str(); + } + }; + + // A lightweight proof object to manage facts and steps. + class levelwise_proof { + std::vector m_facts; + std::vector m_steps; + + // Linear lookup to avoid hashing complexity here. + int find_fact(property_inst const& f) const { + for (unsigned i = 0; i < m_facts.size(); ++i) + if (m_facts[i] == f) return static_cast(i); + return -1; + } + + public: + unsigned intern_fact(property_inst const& f) { + int idx = find_fact(f); + if (idx >= 0) return static_cast(idx); + m_facts.push_back(f); + return static_cast(m_facts.size() - 1); + } + + unsigned add_axiom(property_inst const& concl) { + unsigned c = intern_fact(concl); + m_steps.push_back(proof_step{proof_rule::axiom, property_mapping_case::case1, {}, c}); + return c; + } + + unsigned add_step(proof_rule rule, + property_mapping_case ctx, + std::vector const& premises, + property_inst const& conclusion) { + unsigned c = intern_fact(conclusion); + m_steps.push_back(proof_step{rule, ctx, premises, c}); + return c; + } + + std::string dump() const { + std::ostringstream out; + for (auto const& st : m_steps) + out << st.str(m_facts) << "\n"; + return out.str(); + } + + std::vector const& facts() const { return m_facts; } + std::vector const& steps() const { return m_steps; } + }; + + // Property propagation mapping: for each property, the set of properties it implies (see levelwise paper, e.g., rule 4.2) + // Overload: property_dependencies with context (for rules like 4.2 with multiple cases). + // Note: This is a scaffold. Fill per paper’s precise rules (TODO). + inline std::vector + get_property_dependencies(polynom_property prop, property_mapping_case /*p_case*/, polynomial_ref& /*p*/, unsigned /*i*/) { + std::vector ret; + switch (prop) { + case polynom_property::ir_ord: + // TODO: fill using Property 4.3 / Rule 4.2 cases; currently no direct property implications recorded here. + break; + + case polynom_property::an_del: + // Example: an_del(p) might imply non_null(p) or be used in combination with others; leave empty until specified. + break; + + case polynom_property::non_null: + // Usually terminal for p; no generic implications without context. + break; + + case polynom_property::ord_inv_reducible: + // Often accompanies sign invariance for reducible polynomials; no generic implication recorded here. + break; + + case polynom_property::ord_inv_irreducible: + // Likewise for irreducible. + break; + + case polynom_property::sgn_inv_reducible: + // In many presentations, sign invariance implies order invariance on reducible components. + // If the paper states so, uncomment: + // ret.push_back(polynom_property::ord_inv_reducible); + break; + + case polynom_property::sgn_inv_irreducible: + // If sign invariance implies order invariance for irreducible p, uncomment: + // ret.push_back(polynom_property::ord_inv_irreducible); + break; + + case polynom_property::connected: + // connected(i) might enable sample or representation derivations; leave empty here. + break; + + case polynom_property::an_sub: + // an_sub(i) may enable additional sampling; leave empty here. + break; + + case polynom_property::sample: + // sample(s) is often a leaf for evaluating properties at s. + break; + + case polynom_property::repr: + // repr(I, s) together with others may lead to holds; no generic implication alone. + break; + + case polynom_property::holds: + // Terminal goal, no further implications. + break; + + default: + break; + } + return ret; + } + + // Example driver/stub that will eventually orchestrate Levelwise projection with proof logging. + void lewelwise_project(polynomial_ref_vector & /*ps*/, var /*max_x*/) { + //std::cout << "call\n"; + //exit(0); + // Scaffold example (no-ops for now): + // levelwise_proof pr; + // for (auto* p : ps) { pr.add_axiom(property_inst::of(p, polynom_property::an_del, /*level*/0)); } + // std::cout << pr.dump(); + } +} \ No newline at end of file diff --git a/src/nlsat/levelwise.h b/src/nlsat/levelwise.h index 1081e86c1..29ac9a0e6 100644 --- a/src/nlsat/levelwise.h +++ b/src/nlsat/levelwise.h @@ -1,78 +1,6 @@ - // Context for property propagation (e.g., which case of rule 4.2 applies) - enum class property_mapping_case : unsigned { - case1 = 0, - case2 = 1, - case3 = 3, - }; - -/*++ - Copyright (c) 2025 - - Module Name: - levelwise.h - - Abstract: - Levelwise algorithm property and mapping definitions (see levelwise paper). - - --*/ #pragma once - -#include #include "nlsat_types.h" - namespace nlsat { - - /** - * Properties for indexed roots, in the order specified by the levelwise paper. - * The order is important for the algorithm and must match the paper exactly. - */ - enum class polynom_property : unsigned { - ir_ord, // ir_ord(≼, s) for all ≼ for roots of level i and s ∈ Ri−1 - an_del, // an_del(p) for all p of level i - non_null, // non_null(p) for all p of level i - ord_inv_reducible, // ord_inv(p) for all reducible p of level i - ord_inv_irreducible, // ord_inv(p) for all irreducible p of level i - sgn_inv_reducible, // sgn_inv(p) for all reducible p of level i - sgn_inv_irreducible, // sgn_inv(p) for all irreducible p of level i - connected, // connected(i) - an_sub, // an_sub(i) - sample, // sample(s) for all s ∈ Ri of level i - repr, // repr(I, s) for all I of level i and s ∈ ... - holds, - _count // always last: number of properties - }; - - // Utility: property to string (for debugging, logging, etc.) - inline const char* to_string(polynom_property prop) { - switch (prop) { - case polynom_property::ir_ord: return "ir_ord"; - case polynom_property::an_del: return "an_del"; - case polynom_property::non_null: return "non_null"; - case polynom_property::ord_inv_reducible: return "ord_inv_reducible"; - case polynom_property::ord_inv_irreducible: return "ord_inv_irreducible"; - case polynom_property::sgn_inv_reducible: return "sgn_inv_reducible"; - case polynom_property::sgn_inv_irreducible: return "sgn_inv_irreducible"; - case polynom_property::connected: return "connected"; - case polynom_property::an_sub: return "an_sub"; - case polynom_property::sample: return "sample"; - case polynom_property::repr: return "repr"; - case polynom_property::holds: return "holds"; - default: throw "unknown"; - } - } - - - // Property propagation mapping: for each property, the set of properties it implies (see levelwise paper, e.g., rule 4.2) - // Example: property_dependencies[root_property::sgn_inv] = {root_property::ord_inv, ...} - // Overload: property_dependencies with context (for rules like 4.2 with multiple cases) - inline const std::vector get_property_dependencies(polynom_property prop, property_mapping_case p_case) { - // Each property has a table of vectors, one per context case - static const std::vector table[][10] = { - - }; - return table[(unsigned)prop][(unsigned)p_case]; - } - - + void lewelwise_project(polynomial_ref_vector & ps, var max_x); } // namespace nlsat diff --git a/src/nlsat/nlsat_explain.cpp b/src/nlsat/nlsat_explain.cpp index 492834bdc..2f1b900b1 100644 --- a/src/nlsat/nlsat_explain.cpp +++ b/src/nlsat/nlsat_explain.cpp @@ -1246,7 +1246,7 @@ namespace nlsat { polynomial_ref_vector samples(m_pm); - + lewelwise_project(ps, max_x); if (x < max_x) cac_add_cell_lits(ps, x, samples);

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