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* fixing #4670

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* init

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* arrays

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* arrays

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* arrays

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* na

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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Nikolaj Bjorner 2020-09-10 04:35:11 -07:00 committed by GitHub
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commit cfa7c733db
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48 changed files with 1591 additions and 359 deletions

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src/sat/smt/array_solver.h Normal file
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/*++
Copyright (c) 2020 Microsoft Corporation
Module Name:
array_solver.h
Abstract:
Theory plugin for arrays
Author:
Nikolaj Bjorner (nbjorner) 2020-09-08
--*/
#pragma once
#include "ast/ast_trail.h"
#include "sat/smt/sat_th.h"
#include "ast/array_decl_plugin.h"
namespace euf {
class solver;
}
namespace array {
class solver : public euf::th_euf_solver {
typedef euf::theory_var theory_var;
typedef euf::theory_id theory_id;
typedef sat::literal literal;
typedef sat::bool_var bool_var;
typedef sat::literal_vector literal_vector;
typedef union_find<solver, euf::solver> array_union_find;
struct stats {
unsigned m_num_store_axiom, m_num_extensionality_axiom;
unsigned m_num_eq_splits, m_num_congruence_axiom;
unsigned m_num_select_store_axiom, m_num_select_as_array_axiom, m_num_select_map_axiom;
unsigned m_num_select_const_axiom, m_num_select_store_axiom_delayed;
unsigned m_num_default_store_axiom, m_num_default_map_axiom;
unsigned m_num_default_const_axiom, m_num_default_as_array_axiom;
void reset() { memset(this, 0, sizeof(*this)); }
stats() { reset(); }
};
// void log_drat(array_justification const& c);
struct var_data {
bool m_prop_upward{ false };
bool m_is_array{ false };
bool m_is_select{ false };
ptr_vector<euf::enode> m_parents;
var_data() {}
};
array_util a;
stats m_stats;
sat::solver* m_solver{ nullptr };
scoped_ptr_vector<var_data> m_var_data;
ast2ast_trailmap<sort, app> m_sort2epsilon;
ast2ast_trailmap<sort, func_decl> m_sort2diag;
obj_map<sort, func_decl_ref_vector*> m_sort2diff;
array_union_find m_find;
sat::solver& s() { return *m_solver; }
theory_var find(theory_var v) { return m_find.find(v); }
// internalize
bool visit(expr* e) override;
bool visited(expr* e) override;
bool post_visit(expr* e, bool sign, bool root) override;
void ensure_var(euf::enode* n);
void internalize_store(euf::enode* n);
void internalize_select(euf::enode* n);
void internalize_const(euf::enode* n);
void internalize_ext(euf::enode* n);
void internalize_default(euf::enode* n);
void internalize_map(euf::enode* n);
void internalize_as_array(euf::enode* n);
// axioms
struct axiom_record {
enum class kind_t {
is_store,
is_select,
is_extensionality,
is_default,
is_congruence
};
kind_t m_kind;
euf::enode* n;
euf::enode* select;
axiom_record(kind_t k, euf::enode* n, euf::enode* select = nullptr) : m_kind(k), n(n), select(select) {}
struct hash {
solver& s;
hash(solver& s) :s(s) {}
unsigned operator()(unsigned idx) const {
auto const& r = s.m_axiom_trail[idx];
return mk_mix(r.n->get_expr_id(), (unsigned)r.m_kind, r.select ? r.select->get_expr_id() : 1);
}
};
struct eq {
solver& s;
eq(solver& s) :s(s) {}
unsigned operator()(unsigned a, unsigned b) const {
auto const& p = s.m_axiom_trail[a];
auto const& r = s.m_axiom_trail[b];
return p.n == r.n && p.select == r.select && p.m_kind == r.m_kind;
}
};
};
typedef hashtable<unsigned, axiom_record::hash, axiom_record::eq> axiom_table_t;
axiom_record::hash m_hash;
axiom_record::eq m_eq;
axiom_table_t m_axioms;
svector<axiom_record> m_axiom_trail;
unsigned m_qhead { 0 };
void push_axiom(axiom_record const& r);
bool assert_axiom(unsigned idx);
axiom_record select_axiom(euf::enode* s, euf::enode* n) { return axiom_record(axiom_record::kind_t::is_select, n, s); }
axiom_record default_axiom(euf::enode* n) { return axiom_record(axiom_record::kind_t::is_default, n); }
axiom_record store_axiom(euf::enode* n) { return axiom_record(axiom_record::kind_t::is_store, n); }
axiom_record extensionality_axiom(euf::enode* n) { return axiom_record(axiom_record::kind_t::is_extensionality, n); }
axiom_record congruence_axiom(euf::enode* a, euf::enode* b) { return axiom_record(axiom_record::kind_t::is_congruence, a, b); }
scoped_ptr<sat::constraint_base> m_constraint;
sat::ext_justification_idx array_axiom() { return m_constraint->to_index(); }
bool assert_store_axiom(app* _e);
bool assert_select_store_axiom(app* select, app* store);
bool assert_select_const_axiom(app* select, app* cnst);
bool assert_select_as_array_axiom(app* select, app* arr);
bool assert_select_map_axiom(app* select, app* map);
bool assert_select_lambda_axiom(app* select, expr* lambda);
bool assert_extensionality(expr* e1, expr* e2);
bool assert_default_map_axiom(app* map);
bool assert_default_const_axiom(app* cnst);
bool assert_default_store_axiom(app* store);
bool assert_default_as_array_axiom(app* as_array);
bool assert_congruent_axiom(expr* e1, expr* e2);
bool add_delayed_axioms();
bool has_unitary_domain(app* array_term);
bool has_large_domain(app* array_term);
std::pair<app*, func_decl*> mk_epsilon(sort* s);
void collect_shared_vars(sbuffer<theory_var>& roots);
bool add_interface_equalities();
bool is_select_arg(euf::enode* r);
// solving
void add_parent(theory_var v_child, euf::enode* parent);
void add_parent(euf::enode* child, euf::enode* parent) { add_parent(child->get_th_var(get_id()), parent); }
void add_store(theory_var v, euf::enode* store);
void set_prop_upward(theory_var v);
void set_prop_upward(var_data& d);
void set_prop_upward(euf::enode* n);
void push_parent_select_store_axioms(theory_var v);
unsigned get_lambda_equiv_size(var_data const& d);
var_data& get_var_data(euf::enode* n) { return get_var_data(n->get_th_var(get_id())); }
var_data& get_var_data(theory_var v) { return *m_var_data[v]; }
// invariants
public:
solver(euf::solver& ctx, theory_id id);
~solver() override {}
void set_solver(sat::solver* s) override { m_solver = s; }
bool is_external(bool_var v) override { return false; }
bool propagate(literal l, sat::ext_constraint_idx idx) override { UNREACHABLE(); return false; }
void get_antecedents(literal l, sat::ext_justification_idx idx, literal_vector& r, bool probing) override {}
void asserted(literal l) override {}
sat::check_result check() override;
void push() override;
void pop(unsigned n) override;
std::ostream& display(std::ostream& out) const override;
std::ostream& display_justification(std::ostream& out, sat::ext_justification_idx idx) const override;
std::ostream& display_constraint(std::ostream& out, sat::ext_constraint_idx idx) const override;
void collect_statistics(statistics& st) const override;
euf::th_solver* fresh(sat::solver* s, euf::solver& ctx) override;
void new_eq_eh(euf::th_eq const& eq) override;
bool unit_propagate() override;
void add_value(euf::enode* n, model& mdl, expr_ref_vector& values) override;
void add_dep(euf::enode* n, top_sort<euf::enode>& dep) override;
sat::literal internalize(expr* e, bool sign, bool root, bool learned) override;
void internalize(expr* e, bool redundant) override;
euf::theory_var mk_var(euf::enode* n) override;
void apply_sort_cnstr(euf::enode* n, sort* s) override;
void merge_eh(theory_var, theory_var, theory_var v1, theory_var v2);
void after_merge_eh(theory_var r1, theory_var r2, theory_var v1, theory_var v2) {}
void unmerge_eh(theory_var v1, theory_var v2);
};
}