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Nikolaj Bjorner 2025-10-27 14:01:30 -07:00
parent 2f06bcc731
commit a82af886eb
2 changed files with 41 additions and 43 deletions
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43
src/ast/rewriter/finite_set_axioms.cpp
View file

@ -32,6 +32,27 @@ std::ostream& operator<<(std::ostream& out, theory_axiom const& ax) {
return out;
}
void finite_set_axioms::add_unit(char const *name, expr *p1, expr *unit) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1);
ax->clause.push_back(unit);
m_add_clause(ax);
}
void finite_set_axioms::add_binary(char const *name, expr *p1, expr *p2, expr *f1, expr *f2) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1, p2);
ax->clause.push_back(f1);
ax->clause.push_back(f2);
m_add_clause(ax);
}
void finite_set_axioms::add_ternary(char const *name, expr *p1, expr *p2, expr *f1, expr *f2, expr *f3) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1, p2);
ax->clause.push_back(f1);
ax->clause.push_back(f2);
ax->clause.push_back(f3);
m_add_clause(ax);
}
// a ~ set.empty => not (x in a)
// x is an element, generate axiom that x is not in any empty set of x's type
void finite_set_axioms::in_empty_axiom(expr *x) {
@ -205,6 +226,7 @@ void finite_set_axioms::in_range_axiom(expr* r) {
// a := set.map(f, b)
// (x in a) <=> set.map_inverse(f, x, b) in b
//
void finite_set_axioms::in_map_axiom(expr *x, expr *a) {
expr *f = nullptr, *b = nullptr;
sort *elem_sort = nullptr;
@ -270,27 +292,6 @@ void finite_set_axioms::in_filter_axiom(expr *x, expr *a) {
add_ternary("in-filter", x, a, m.mk_not(x_in_b), npx, x_in_a);
}
void finite_set_axioms::add_unit(char const* name, expr* p1, expr* unit) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1);
ax->clause.push_back(unit);
m_add_clause(ax);
}
void finite_set_axioms::add_binary(char const* name, expr* p1, expr* p2, expr* f1, expr* f2) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1, p2);
ax->clause.push_back(f1);
ax->clause.push_back(f2);
m_add_clause(ax);
}
void finite_set_axioms::add_ternary(char const *name, expr *p1, expr *p2, expr *f1, expr *f2, expr *f3) {
theory_axiom *ax = alloc(theory_axiom, m, name, p1, p2);
ax->clause.push_back(f1);
ax->clause.push_back(f2);
ax->clause.push_back(f3);
m_add_clause(ax);
}
// Auxiliary algebraic axioms to ease reasoning about set.size
// The axioms are not required for completenss for the base fragment
// as they are handled by creating semi-linear sets.

41
src/smt/theory_finite_set.cpp
View file

@ -631,36 +631,33 @@ namespace smt {
void theory_finite_set::add_membership_axioms(expr *elem, expr *set) {
TRACE(finite_set, tout << "add_membership_axioms: " << mk_pp(elem, m) << " in " << mk_pp(set, m) << "\n";);
// Instantiate appropriate axiom based on set structure
// Instantiate appropriate axiom based on set structure
if (!is_new_axiom(elem, set))
;
else if (u.is_empty(set)) {
m_axioms.in_empty_axiom(elem);
}
else if (u.is_singleton(set)) {
m_axioms.in_singleton_axiom(elem, set);
}
else if (u.is_union(set)) {
m_axioms.in_union_axiom(elem, set);
}
else if (u.is_intersect(set)) {
m_axioms.in_intersect_axiom(elem, set);
}
else if (u.is_difference(set)) {
m_axioms.in_difference_axiom(elem, set);
}
else if (u.is_range(set)) {
m_axioms.in_range_axiom(elem, set);
}
else if (u.is_empty(set))
m_axioms.in_empty_axiom(elem);
else if (u.is_singleton(set))
m_axioms.in_singleton_axiom(elem, set);
else if (u.is_union(set))
m_axioms.in_union_axiom(elem, set);
else if (u.is_intersect(set))
m_axioms.in_intersect_axiom(elem, set);
else if (u.is_difference(set))
m_axioms.in_difference_axiom(elem, set);
else if (u.is_range(set))
m_axioms.in_range_axiom(elem, set);
else if (u.is_map(set)) {
// TODO type of elem could be from the pre-image
// sort *elem_sort = u.finte_set_elem_sort(set->get_sort());
// set.map_inverse can loop. need to check instance generation.
m_axioms.in_map_axiom(elem, set);
// this can also loop:
m_axioms.in_map_image_axiom(elem, set);
}
else if (u.is_filter(set)) {
else if (u.is_filter(set)) {
m_axioms.in_filter_axiom(elem, set);
}
TRACE(finite_set, tout << "after add_membership_axioms: " << mk_pp(elem, m) << " in " << mk_pp(set, m) << "\n";);
}
void theory_finite_set::add_clause(theory_axiom* ax) {