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add special relations tactic

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2019-03-28 10:07:50 -07:00
parent ec6cf7950e
commit 7a6823aef1
7 changed files with 92 additions and 21 deletions
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1
src/api/z3_api.h
View file

@ -1104,7 +1104,6 @@ typedef enum {
// Special relations
Z3_OP_SPECIAL_RELATION_LO,
Z3_OP_SPECIAL_RELATION_PO,
Z3_OP_SPECIAL_RELATION_PO_AO,
Z3_OP_SPECIAL_RELATION_PLO,
Z3_OP_SPECIAL_RELATION_TO,

1
src/ast/rewriter/CMakeLists.txt
View file

@ -19,6 +19,7 @@ z3_add_component(rewriter
factor_equivs.cpp
factor_rewriter.cpp
fpa_rewriter.cpp
func_decl_replace.cpp
hoist_rewriter.cpp
inj_axiom.cpp
label_rewriter.cpp

2
src/ast/rewriter/func_decl_replace.cpp
View file

@ -86,7 +86,7 @@ expr_ref func_decl_replace::operator()(expr* e) {
}
}
}
return expr_ref(cache.find(e), m);
return expr_ref(m_cache.find(e), m);
}
void func_decl_replace::reset() {

15
src/ast/special_relations_decl_plugin.h
View file

@ -26,7 +26,6 @@ Revision History:
enum special_relations_op_kind {
OP_SPECIAL_RELATION_LO,
OP_SPECIAL_RELATION_PO,
OP_SPECIAL_RELATION_PO_AO,
OP_SPECIAL_RELATION_PLO,
OP_SPECIAL_RELATION_TO,
LAST_SPECIAL_RELATIONS_OP
@ -35,7 +34,6 @@ enum special_relations_op_kind {
class special_relations_decl_plugin : public decl_plugin {
symbol m_lo;
symbol m_po;
symbol m_po_ao;
symbol m_plo;
symbol m_to;
public:
@ -56,15 +54,17 @@ public:
};
enum sr_property {
sr_none = 0x00,
sr_transitive = 0x01, // Rxy & Ryz -> Rxz
sr_reflexive = 0x02, // Rxx
sr_antisymmetric = 0x04, // Rxy & Ryx -> x = y
sr_lefttree = 0x08, // Ryx & Rzx -> Ryz | Rzy
sr_righttree = 0x10, // Rxy & Rxz -> Ryx | Rzy
sr_total = 0x20, // Rxy | Ryx
sr_po = 0x01 | 0x02 | 0x04, // partial order
sr_lo = 0x01 | 0x02 | 0x04 | 0x08 | 0x10, // linear order
sr_plo = 0x01 | 0x02 | 0x04 | 0x20, // piecewise linear order
sr_to = 0x01 | 0x02 | 0x04 | 0x10, // right-tree
sr_plo = 0x01 | 0x02 | 0x04 | 0x08 | 0x10, // piecewise linear order
sr_lo = 0x01 | 0x02 | 0x04 | 0x20, // linear order
};
class special_relations_util {
@ -78,15 +78,18 @@ public:
sr_property get_property(func_decl* f) const;
sr_property get_property(app* e) const { return get_property(e->get_decl()); }
func_decl* mk_to_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_TO, 1, &p, 2, f->get_domain(), f->get_range()); }
func_decl* mk_po_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_PO, 1, &p, 2, f->get_domain(), f->get_range()); }
func_decl* mk_plo_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_PLO, 1, &p, 2, f->get_domain(), f->get_range()); }
func_decl* mk_lo_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_LO, 1, &p, 2, f->get_domain(), f->get_range()); }
bool is_lo(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_LO); }
bool is_po(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_PO); }
bool is_po_ao(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_PO_AO); }
bool is_plo(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_PLO); }
bool is_to(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_TO); }
app * mk_lo (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_LO, arg1, arg2); }
app * mk_po (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_PO, arg1, arg2); }
app * mk_po_ao (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_PO_AO, arg1, arg2); }
app * mk_plo(expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_PLO, arg1, arg2); }
app * mk_to (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_TO, arg1, arg2); }

2
src/tactic/core/CMakeLists.txt
View file

@ -19,6 +19,7 @@ z3_add_component(core_tactics
reduce_invertible_tactic.cpp
simplify_tactic.cpp
solve_eqs_tactic.cpp
special_relations_tactic.cpp
split_clause_tactic.cpp
symmetry_reduce_tactic.cpp
tseitin_cnf_tactic.cpp
@ -46,6 +47,7 @@ z3_add_component(core_tactics
reduce_invertible_tactic.h
simplify_tactic.h
solve_eqs_tactic.h
special_relations_tactic.h
split_clause_tactic.h
symmetry_reduce_tactic.h
tseitin_cnf_tactic.h

81
src/tactic/core/special_relations_tactic.cpp
View file

@ -17,7 +17,8 @@ Author:
Notes:
--*/
#include "tactic/core/special_relations.h"
#include "tactic/core/special_relations_tactic.h"
#include "ast/rewriter/func_decl_replace.h"
void special_relations_tactic::collect_feature(goal const& g, unsigned idx,
obj_map<func_decl, sp_axioms>& goal_features) {
@ -26,14 +27,34 @@ void special_relations_tactic::collect_feature(goal const& g, unsigned idx,
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);
}
}
void specia_relations_tactic::insert(obj_map<func_decl, sp_axioms>& goal_features, func_decl* p, unsigned idx, sr_property p) {
void special_relations_tactic::insert(obj_map<func_decl, sp_axioms>& goal_features, func_decl* f, unsigned idx, sr_property p) {
sp_axioms ax;
goal_features.find(f, ax);
ax.m_goal_indices.push_back(idx);
ax.m_sp_features = (sr_property)(p | ax.m_sp_features);
goal_features.insert(f, ax);
}
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;
}
bool special_relations_tactic::is_anti_symmetry(expr* fml, func_decl_ref& p) {
@ -45,7 +66,7 @@ bool special_relations_tactic::is_left_tree(expr* fml, func_decl_ref& p) {
bool special_relations_tactic::is_right_tree(expr* fml, func_decl_ref& p) {
return false;
}
bool special_relations_tactic::is_reflexivity(expr* fml, func_decl_ref& p) {
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) {
@ -57,16 +78,58 @@ bool special_relations_tactic::is_symmetric(expr* fml, func_decl_ref& p) {
void special_relations_tactic::operator()(goal_ref const & g, goal_ref_buffer & result) {
tactic_report report("special_relations", g);
tactic_report report("special_relations", *g);
obj_map<func_decl, sp_axioms> goal_features;
unsigned size = g.size();
unsigned size = g->size();
for (unsigned idx = 0; idx < size; idx++) {
collect_feature(g, idx, goal_features);
collect_feature(*g, idx, goal_features);
}
if (!goal_features.empty()) {
special_relations_util u(m);
func_decl_replace replace(m);
unsigned_vector to_delete;
for(auto const& kv : goal_features) {
func_decl* sp = nullptr;
sr_property feature = kv.m_value.m_sp_features;
switch (feature) {
case sr_po:
replace.insert(kv.m_key, u.mk_po_decl(kv.m_key));
to_delete.append(kv.m_value.m_goal_indices);
break;
case sr_to:
replace.insert(kv.m_key, u.mk_to_decl(kv.m_key));
to_delete.append(kv.m_value.m_goal_indices);
break;
case sr_plo:
replace.insert(kv.m_key, u.mk_plo_decl(kv.m_key));
to_delete.append(kv.m_value.m_goal_indices);
break;
case sr_lo:
replace.insert(kv.m_key, u.mk_lo_decl(kv.m_key));
to_delete.append(kv.m_value.m_goal_indices);
break;
default:
TRACE("special_relations", tout << "unprocessed feature " << feature << "\n";);
break;
}
}
if (!replace.empty()) {
for (unsigned idx = 0; idx < size; idx++) {
if (to_delete.contains(idx)) {
g->update(idx, m.mk_true());
}
else {
expr_ref new_f = replace(g->form(idx));
g->update(idx, new_f);
}
}
g->elim_true();
}
g->inc_depth();
result.push_back(g.get());
}
tactic * mk_special_relations_tactic(ast_manager & m, params_ref const & p) {
return alloc(special_relations_tactic, m, p);
}

11
src/tactic/core/special_relations_tactic.h
View file

@ -22,29 +22,32 @@ Notes:
#include "tactic/tactic.h"
#include "tactic/tactical.h"
#include "ast/special_relations_decl_plugin.h"
class special_relations_tactic : public tactic {
ast_manager& m;
params_ref m_params;
struct sp_axioms {
unsigned_vector m_goal_indices;
unsigned m_sp_features;
sr_property m_sp_features;
sp_axioms():m_sp_features(sr_none) {}
};
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* p, unsigned idx, sr_property p);
void insert(obj_map<func_decl, sp_axioms>& goal_features, func_decl* f, unsigned idx, sr_property p);
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);
bool is_right_tree(expr* fml, func_decl_ref& p);
bool is_reflexivity(expr* fml, func_decl_ref& p);
bool is_reflexive(expr* fml, func_decl_ref& p);
bool is_total(expr* fml, func_decl_ref& p);
bool is_symmetric(expr* fml, func_decl_ref& p);
public:
special_relations_tactic(ast_manager & m, params_ref const & ref = params_ref()) {}
special_relations_tactic(ast_manager & m, params_ref const & ref = params_ref()): m(m), m_params(ref) {}
~special_relations_tactic() override {}