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Implement finite_sets_decl_plugin with all specified operations

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
This commit is contained in:
copilot-swe-agent[bot] 2025-10-05 00:47:18 +00:00
parent 008c921dbf
commit d8beab9e1d
4 changed files with 525 additions and 0 deletions

View file

@ -28,6 +28,7 @@ z3_add_component(ast
expr_map.cpp
expr_stat.cpp
expr_substitution.cpp
finite_sets_decl_plugin.cpp
for_each_ast.cpp
for_each_expr.cpp
format.cpp

View file

@ -0,0 +1,366 @@
/*++
Copyright (c) 2025 Microsoft Corporation
Module Name:
finite_sets_decl_plugin.cpp
Abstract:
Declaration plugin for finite sets
Author:
GitHub Copilot Agent 2025
Revision History:
--*/
#include<sstream>
#include "ast/finite_sets_decl_plugin.h"
#include "ast/arith_decl_plugin.h"
#include "util/warning.h"
finite_sets_decl_plugin::finite_sets_decl_plugin():
m_empty_sym("set.empty"),
m_union_sym("set.union"),
m_intersect_sym("set.intersect"),
m_difference_sym("set.difference"),
m_in_sym("set.in"),
m_size_sym("set.size"),
m_subset_sym("set.subset"),
m_map_sym("set.map"),
m_filter_sym("set.filter"),
m_range_sym("set.range") {
}
sort * finite_sets_decl_plugin::mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) {
if (k == FINITE_SET_SORT) {
if (num_parameters != 1) {
m_manager->raise_exception("FiniteSet sort expects exactly one parameter (element sort)");
return nullptr;
}
if (!parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
m_manager->raise_exception("FiniteSet sort parameter must be a sort");
return nullptr;
}
sort * element_sort = to_sort(parameters[0].get_ast());
sort_size sz = sort_size::mk_very_big();
sort_info info(m_family_id, FINITE_SET_SORT, sz, num_parameters, parameters);
return m_manager->mk_sort(symbol("FiniteSet"), info);
}
m_manager->raise_exception("unknown finite set sort");
return nullptr;
}
sort * finite_sets_decl_plugin::get_element_sort(sort* finite_set_sort) const {
if (finite_set_sort->get_family_id() != m_family_id ||
finite_set_sort->get_decl_kind() != FINITE_SET_SORT) {
return nullptr;
}
parameter const* params = finite_set_sort->get_parameters();
if (!params[0].is_ast() || !is_sort(params[0].get_ast())) {
return nullptr;
}
return to_sort(params[0].get_ast());
}
bool finite_sets_decl_plugin::check_finite_set_arguments(unsigned arity, sort * const * domain) {
if (arity == 0) {
return true;
}
sort* first_sort = domain[0];
if (first_sort->get_family_id() != m_family_id ||
first_sort->get_decl_kind() != FINITE_SET_SORT) {
m_manager->raise_exception("argument is not of FiniteSet sort");
return false;
}
for (unsigned i = 1; i < arity; ++i) {
if (domain[i] != first_sort) {
std::ostringstream buffer;
buffer << "arguments " << 1 << " and " << (i+1) << " have different sorts";
m_manager->raise_exception(buffer.str());
return false;
}
}
return true;
}
func_decl * finite_sets_decl_plugin::mk_empty(sort* element_sort) {
parameter param(element_sort);
sort * finite_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, &param);
sort * const * no_domain = nullptr;
return m_manager->mk_func_decl(m_empty_sym, 0u, no_domain, finite_set_sort,
func_decl_info(m_family_id, OP_FINITE_SET_EMPTY, 1, &param));
}
func_decl * finite_sets_decl_plugin::mk_union(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.union takes exactly two arguments");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
return m_manager->mk_func_decl(m_union_sym, arity, domain, domain[0],
func_decl_info(m_family_id, OP_FINITE_SET_UNION));
}
func_decl * finite_sets_decl_plugin::mk_intersect(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.intersect takes exactly two arguments");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
return m_manager->mk_func_decl(m_intersect_sym, arity, domain, domain[0],
func_decl_info(m_family_id, OP_FINITE_SET_INTERSECT));
}
func_decl * finite_sets_decl_plugin::mk_difference(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.difference takes exactly two arguments");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
return m_manager->mk_func_decl(m_difference_sym, arity, domain, domain[0],
func_decl_info(m_family_id, OP_FINITE_SET_DIFFERENCE));
}
func_decl * finite_sets_decl_plugin::mk_in(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.in takes exactly two arguments");
return nullptr;
}
if (domain[1]->get_family_id() != m_family_id ||
domain[1]->get_decl_kind() != FINITE_SET_SORT) {
m_manager->raise_exception("second argument of set.in must be a FiniteSet");
return nullptr;
}
sort* element_sort = get_element_sort(domain[1]);
if (!element_sort) {
m_manager->raise_exception("invalid FiniteSet sort");
return nullptr;
}
if (domain[0] != element_sort) {
m_manager->raise_exception("element type does not match set element type");
return nullptr;
}
sort* bool_sort = m_manager->mk_bool_sort();
return m_manager->mk_func_decl(m_in_sym, arity, domain, bool_sort,
func_decl_info(m_family_id, OP_FINITE_SET_IN));
}
func_decl * finite_sets_decl_plugin::mk_size(unsigned arity, sort * const * domain) {
if (arity != 1) {
m_manager->raise_exception("set.size takes exactly one argument");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
arith_util arith(*m_manager);
sort * int_sort = arith.mk_int();
return m_manager->mk_func_decl(m_size_sym, arity, domain, int_sort,
func_decl_info(m_family_id, OP_FINITE_SET_SIZE));
}
func_decl * finite_sets_decl_plugin::mk_subset(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.subset takes exactly two arguments");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
sort* bool_sort = m_manager->mk_bool_sort();
return m_manager->mk_func_decl(m_subset_sym, arity, domain, bool_sort,
func_decl_info(m_family_id, OP_FINITE_SET_SUBSET));
}
func_decl * finite_sets_decl_plugin::mk_map(func_decl* f, unsigned arity, sort* const* domain) {
if (arity != 1) {
m_manager->raise_exception("set.map takes exactly one set argument");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
// Get the element sort of the input set
sort* input_element_sort = get_element_sort(domain[0]);
if (!input_element_sort) {
m_manager->raise_exception("invalid FiniteSet sort");
return nullptr;
}
// Check that the function has correct signature
if (f->get_arity() != 1) {
m_manager->raise_exception("set.map function must take exactly one argument");
return nullptr;
}
if (f->get_domain(0) != input_element_sort) {
m_manager->raise_exception("set.map function domain must match set element type");
return nullptr;
}
// Create output set sort with the function's range as element type
sort* output_element_sort = f->get_range();
parameter param(output_element_sort);
sort* output_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, &param);
parameter func_param(f);
return m_manager->mk_func_decl(m_map_sym, arity, domain, output_set_sort,
func_decl_info(m_family_id, OP_FINITE_SET_MAP, 1, &func_param));
}
func_decl * finite_sets_decl_plugin::mk_filter(func_decl* f, unsigned arity, sort* const* domain) {
if (arity != 1) {
m_manager->raise_exception("set.filter takes exactly one set argument");
return nullptr;
}
if (!check_finite_set_arguments(arity, domain)) {
return nullptr;
}
// Get the element sort of the set
sort* element_sort = get_element_sort(domain[0]);
if (!element_sort) {
m_manager->raise_exception("invalid FiniteSet sort");
return nullptr;
}
// Check that the function has correct signature (S -> Bool)
if (f->get_arity() != 1) {
m_manager->raise_exception("set.filter function must take exactly one argument");
return nullptr;
}
if (f->get_domain(0) != element_sort) {
m_manager->raise_exception("set.filter function domain must match set element type");
return nullptr;
}
if (!m_manager->is_bool(f->get_range())) {
m_manager->raise_exception("set.filter function must return Bool");
return nullptr;
}
parameter func_param(f);
return m_manager->mk_func_decl(m_filter_sym, arity, domain, domain[0],
func_decl_info(m_family_id, OP_FINITE_SET_FILTER, 1, &func_param));
}
func_decl * finite_sets_decl_plugin::mk_range(unsigned arity, sort * const * domain) {
if (arity != 2) {
m_manager->raise_exception("set.range takes exactly two arguments");
return nullptr;
}
arith_util arith(*m_manager);
sort * int_sort = arith.mk_int();
if (domain[0] != int_sort || domain[1] != int_sort) {
m_manager->raise_exception("set.range arguments must be Int");
return nullptr;
}
parameter param(int_sort);
sort* output_set_sort = m_manager->mk_sort(m_family_id, FINITE_SET_SORT, 1, &param);
return m_manager->mk_func_decl(m_range_sym, arity, domain, output_set_sort,
func_decl_info(m_family_id, OP_FINITE_SET_RANGE));
}
func_decl * finite_sets_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters,
parameter const * parameters,
unsigned arity, sort * const * domain,
sort * range) {
switch (k) {
case OP_FINITE_SET_EMPTY:
if (num_parameters != 1 || !parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
m_manager->raise_exception("set.empty requires one sort parameter");
return nullptr;
}
return mk_empty(to_sort(parameters[0].get_ast()));
case OP_FINITE_SET_UNION:
return mk_union(arity, domain);
case OP_FINITE_SET_INTERSECT:
return mk_intersect(arity, domain);
case OP_FINITE_SET_DIFFERENCE:
return mk_difference(arity, domain);
case OP_FINITE_SET_IN:
return mk_in(arity, domain);
case OP_FINITE_SET_SIZE:
return mk_size(arity, domain);
case OP_FINITE_SET_SUBSET:
return mk_subset(arity, domain);
case OP_FINITE_SET_MAP:
if (num_parameters != 1 || !parameters[0].is_ast() || !is_func_decl(parameters[0].get_ast())) {
m_manager->raise_exception("set.map requires one function parameter");
return nullptr;
}
return mk_map(to_func_decl(parameters[0].get_ast()), arity, domain);
case OP_FINITE_SET_FILTER:
if (num_parameters != 1 || !parameters[0].is_ast() || !is_func_decl(parameters[0].get_ast())) {
m_manager->raise_exception("set.filter requires one function parameter");
return nullptr;
}
return mk_filter(to_func_decl(parameters[0].get_ast()), arity, domain);
case OP_FINITE_SET_RANGE:
return mk_range(arity, domain);
default:
return nullptr;
}
}
void finite_sets_decl_plugin::get_op_names(svector<builtin_name>& op_names, symbol const & logic) {
op_names.push_back(builtin_name("set.empty", OP_FINITE_SET_EMPTY));
op_names.push_back(builtin_name("set.union", OP_FINITE_SET_UNION));
op_names.push_back(builtin_name("set.intersect", OP_FINITE_SET_INTERSECT));
op_names.push_back(builtin_name("set.difference", OP_FINITE_SET_DIFFERENCE));
op_names.push_back(builtin_name("set.in", OP_FINITE_SET_IN));
op_names.push_back(builtin_name("set.size", OP_FINITE_SET_SIZE));
op_names.push_back(builtin_name("set.subset", OP_FINITE_SET_SUBSET));
op_names.push_back(builtin_name("set.map", OP_FINITE_SET_MAP));
op_names.push_back(builtin_name("set.filter", OP_FINITE_SET_FILTER));
op_names.push_back(builtin_name("set.range", OP_FINITE_SET_RANGE));
}
void finite_sets_decl_plugin::get_sort_names(svector<builtin_name>& sort_names, symbol const & logic) {
sort_names.push_back(builtin_name("FiniteSet", FINITE_SET_SORT));
}
expr * finite_sets_decl_plugin::get_some_value(sort * s) {
if (s->get_family_id() == m_family_id && s->get_decl_kind() == FINITE_SET_SORT) {
// Return empty set for the given sort
sort* element_sort = get_element_sort(s);
if (element_sort) {
parameter param(element_sort);
return m_manager->mk_app(m_family_id, OP_FINITE_SET_EMPTY, 1, &param, 0, nullptr);
}
}
return nullptr;
}
bool finite_sets_decl_plugin::is_fully_interp(sort * s) const {
return s->get_family_id() == m_family_id && s->get_decl_kind() == FINITE_SET_SORT;
}
bool finite_sets_decl_plugin::is_value(app * e) const {
// Empty set is a value
return is_app_of(e, m_family_id, OP_FINITE_SET_EMPTY);
}
bool finite_sets_decl_plugin::is_unique_value(app* e) const {
// Empty set is a unique value for its sort
return is_value(e);
}

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@ -24,3 +24,157 @@ Operators:
set.range : Int Int -> (FiniteSet Int)
--*/
#pragma once
#include "ast/ast.h"
enum finite_sets_sort_kind {
FINITE_SET_SORT
};
enum finite_sets_op_kind {
OP_FINITE_SET_EMPTY,
OP_FINITE_SET_UNION,
OP_FINITE_SET_INTERSECT,
OP_FINITE_SET_DIFFERENCE,
OP_FINITE_SET_IN,
OP_FINITE_SET_SIZE,
OP_FINITE_SET_SUBSET,
OP_FINITE_SET_MAP,
OP_FINITE_SET_FILTER,
OP_FINITE_SET_RANGE,
LAST_FINITE_SET_OP
};
class finite_sets_decl_plugin : public decl_plugin {
symbol m_empty_sym;
symbol m_union_sym;
symbol m_intersect_sym;
symbol m_difference_sym;
symbol m_in_sym;
symbol m_size_sym;
symbol m_subset_sym;
symbol m_map_sym;
symbol m_filter_sym;
symbol m_range_sym;
func_decl * mk_empty(sort* element_sort);
func_decl * mk_union(unsigned arity, sort * const * domain);
func_decl * mk_intersect(unsigned arity, sort * const * domain);
func_decl * mk_difference(unsigned arity, sort * const * domain);
func_decl * mk_in(unsigned arity, sort * const * domain);
func_decl * mk_size(unsigned arity, sort * const * domain);
func_decl * mk_subset(unsigned arity, sort * const * domain);
func_decl * mk_map(func_decl* f, unsigned arity, sort* const* domain);
func_decl * mk_filter(func_decl* f, unsigned arity, sort* const* domain);
func_decl * mk_range(unsigned arity, sort * const * domain);
bool check_finite_set_arguments(unsigned arity, sort * const * domain);
sort * get_element_sort(sort* finite_set_sort) const;
public:
finite_sets_decl_plugin();
decl_plugin * mk_fresh() override {
return alloc(finite_sets_decl_plugin);
}
//
// Contract for sort:
// parameters[0] - element sort
//
sort * mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) override;
//
// Contract for func_decl:
// For OP_FINITE_SET_MAP and OP_FINITE_SET_FILTER:
// parameters[0] - function declaration
// For others:
// no parameters
func_decl * mk_func_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) override;
void get_op_names(svector<builtin_name> & op_names, symbol const & logic) override;
void get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) override;
expr * get_some_value(sort * s) override;
bool is_fully_interp(sort * s) const override;
bool is_value(app * e) const override;
bool is_unique_value(app* e) const override;
};
class finite_sets_recognizers {
protected:
family_id m_fid;
public:
finite_sets_recognizers(family_id fid):m_fid(fid) {}
family_id get_family_id() const { return m_fid; }
bool is_finite_set(sort* s) const { return is_sort_of(s, m_fid, FINITE_SET_SORT); }
bool is_finite_set(expr* n) const { return is_finite_set(n->get_sort()); }
bool is_empty(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_EMPTY); }
bool is_union(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_UNION); }
bool is_intersect(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_INTERSECT); }
bool is_difference(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_DIFFERENCE); }
bool is_in(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_IN); }
bool is_size(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_SIZE); }
bool is_subset(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_SUBSET); }
bool is_map(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_MAP); }
bool is_filter(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_FILTER); }
bool is_range(expr* n) const { return is_app_of(n, m_fid, OP_FINITE_SET_RANGE); }
};
class finite_sets_util : public finite_sets_recognizers {
ast_manager& m_manager;
public:
finite_sets_util(ast_manager& m):
finite_sets_recognizers(m.mk_family_id("finite_sets")), m_manager(m) {}
ast_manager& get_manager() const { return m_manager; }
app * mk_empty(sort* element_sort) {
parameter param(element_sort);
return m_manager.mk_app(m_fid, OP_FINITE_SET_EMPTY, 1, &param, 0, nullptr);
}
app * mk_union(expr* s1, expr* s2) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_UNION, s1, s2);
}
app * mk_intersect(expr* s1, expr* s2) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_INTERSECT, s1, s2);
}
app * mk_difference(expr* s1, expr* s2) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_DIFFERENCE, s1, s2);
}
app * mk_in(expr* elem, expr* set) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_IN, elem, set);
}
app * mk_size(expr* set) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_SIZE, set);
}
app * mk_subset(expr* s1, expr* s2) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_SUBSET, s1, s2);
}
app * mk_map(func_decl* f, expr* set) {
parameter param(f);
return m_manager.mk_app(m_fid, OP_FINITE_SET_MAP, 1, &param, 1, &set);
}
app * mk_filter(func_decl* f, expr* set) {
parameter param(f);
return m_manager.mk_app(m_fid, OP_FINITE_SET_FILTER, 1, &param, 1, &set);
}
app * mk_range(expr* low, expr* high) {
return m_manager.mk_app(m_fid, OP_FINITE_SET_RANGE, low, high);
}
};

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@ -29,6 +29,7 @@ Revision History:
#include "ast/pb_decl_plugin.h"
#include "ast/fpa_decl_plugin.h"
#include "ast/special_relations_decl_plugin.h"
#include "ast/finite_sets_decl_plugin.h"
void reg_decl_plugins(ast_manager & m) {
if (!m.get_plugin(m.mk_family_id(symbol("arith")))) {
@ -64,4 +65,7 @@ void reg_decl_plugins(ast_manager & m) {
if (!m.get_plugin(m.mk_family_id(symbol("specrels")))) {
m.register_plugin(symbol("specrels"), alloc(special_relations_decl_plugin));
}
if (!m.get_plugin(m.mk_family_id(symbol("finite_sets")))) {
m.register_plugin(symbol("finite_sets"), alloc(finite_sets_decl_plugin));
}
}