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mirror of https://github.com/Z3Prover/z3 synced 2025-04-29 11:55:51 +00:00
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2019-03-28 16:11:16 -07:00
parent 7a6823aef1
commit 1c694fd42f
7 changed files with 130 additions and 63 deletions

View file

@ -24,23 +24,12 @@ void special_relations_tactic::collect_feature(goal const& g, unsigned idx,
obj_map<func_decl, sp_axioms>& goal_features) {
expr* f = g.form(idx);
func_decl_ref p(m);
if (is_transitivity(f, p)) {
insert(goal_features, p, idx, sr_transitive);
}
else if (is_anti_symmetry(f, p)) {
insert(goal_features, p, idx, sr_antisymmetric);
}
else if (is_left_tree(f, p)) {
insert(goal_features, p, idx, sr_lefttree);
}
else if (is_right_tree(f, p)) {
insert(goal_features, p, idx, sr_righttree);
}
else if (is_reflexive(f, p)) {
insert(goal_features, p, idx, sr_reflexive);
}
else if (is_total(f, p)) {
insert(goal_features, p, idx, sr_total);
if (!is_quantifier(f)) return;
unsigned index = 0;
app_ref_vector patterns(m);
if (m_pm.match_quantifier_index(to_quantifier(f), patterns, index)) {
p = to_app(patterns.get(0)->get_arg(0))->get_decl();
insert(goal_features, p, idx, m_properties[index]);
}
}
@ -53,32 +42,68 @@ void special_relations_tactic::insert(obj_map<func_decl, sp_axioms>& goal_featur
}
bool special_relations_tactic::is_transitivity(expr* fml, func_decl_ref& p) {
// match Forall x, y, z . p(x,y) & p(y,z) -> p(x,z)
return false;
void special_relations_tactic::initialize() {
if (!m_properties.empty()) return;
sort_ref A(m);
func_decl_ref R(m.mk_func_decl(symbol("R"), A, A, m.mk_bool_sort()), m);
var_ref x(m.mk_var(0, A), m);
var_ref y(m.mk_var(1, A), m);
var_ref z(m.mk_var(2, A), m);
expr* _x = x, *_y = y, *_z = z;
expr_ref Rxy(m.mk_app(R, _x, y), m);
expr_ref Ryz(m.mk_app(R, _y, z), m);
expr_ref Rxz(m.mk_app(R, _x, z), m);
expr_ref Rxx(m.mk_app(R, _x, x), m);
expr_ref Ryx(m.mk_app(R, _y, x), m);
expr_ref Rzy(m.mk_app(R, _z, y), m);
expr_ref Rzx(m.mk_app(R, _z, x), m);
expr_ref nRxy(m.mk_not(Rxy), m);
expr_ref nRyx(m.mk_not(Ryx), m);
expr_ref nRzx(m.mk_not(Rzx), m);
expr_ref nRxz(m.mk_not(Rxz), m);
sort* As[3] = { A, A, A};
symbol xyz[3] = { symbol("x"), symbol("y"), symbol("z") };
expr_ref fml(m);
quantifier_ref q(m);
expr_ref pat(m.mk_pattern(to_app(Rxy)), m);
expr* pats[1] = { pat };
fml = m.mk_or(m.mk_not(Rxy), m.mk_not(Ryz), Rxz);
q = m.mk_forall(3, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_transitive);
fml = Rxx;
q = m.mk_forall(1, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_reflexive);
fml = m.mk_or(nRxy, nRyx, m.mk_eq(x, y));
q = m.mk_forall(2, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_antisymmetric);
fml = m.mk_or(nRyx, nRzx, Ryz, Rzy);
q = m.mk_forall(3, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_lefttree);
fml = m.mk_or(nRxy, nRxz, Ryx, Rzy);
q = m.mk_forall(3, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_righttree);
fml = m.mk_or(Rxy, Ryx);
q = m.mk_forall(2, As, xyz, fml, 0, symbol::null, symbol::null, 1, pats);
register_pattern(m_pm.initialize(q), sr_total);
}
bool special_relations_tactic::is_anti_symmetry(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_left_tree(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_right_tree(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_reflexive(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_total(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_symmetric(expr* fml, func_decl_ref& p) {
return false;
void special_relations_tactic::register_pattern(unsigned index, sr_property p) {
SASSERT(index == m_properties.size() + 1);
m_properties.push_back(p);
}
void special_relations_tactic::operator()(goal_ref const & g, goal_ref_buffer & result) {
tactic_report report("special_relations", *g);
initialize();
obj_map<func_decl, sp_axioms> goal_features;
unsigned size = g->size();
for (unsigned idx = 0; idx < size; idx++) {

View file

@ -23,10 +23,13 @@ Notes:
#include "tactic/tactic.h"
#include "tactic/tactical.h"
#include "ast/special_relations_decl_plugin.h"
#include "ast/pattern/expr_pattern_match.h"
class special_relations_tactic : public tactic {
ast_manager& m;
params_ref m_params;
expr_pattern_match m_pm;
svector<sr_property> m_properties;
struct sp_axioms {
unsigned_vector m_goal_indices;
@ -37,6 +40,9 @@ class special_relations_tactic : public tactic {
void collect_feature(goal const& g, unsigned idx, obj_map<func_decl, sp_axioms>& goal_features);
void insert(obj_map<func_decl, sp_axioms>& goal_features, func_decl* f, unsigned idx, sr_property p);
void initialize();
void register_pattern(unsigned index, sr_property);
bool is_transitivity(expr* fml, func_decl_ref& p);
bool is_anti_symmetry(expr* fml, func_decl_ref& p);
bool is_left_tree(expr* fml, func_decl_ref& p);
@ -47,7 +53,7 @@ class special_relations_tactic : public tactic {
public:
special_relations_tactic(ast_manager & m, params_ref const & ref = params_ref()): m(m), m_params(ref) {}
special_relations_tactic(ast_manager & m, params_ref const & ref = params_ref()): m(m), m_params(ref), m_pm(m) {}
~special_relations_tactic() override {}