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Implement finite_set_rewriter with basic algebraic simplification rules (#7972)

* Initial plan

* Add finite_set_rewriter implementation with basic rewrite rules

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Fix finite_set_decl_plugin bug and complete implementation

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Revert finite_set_decl_plugin changes and disable difference rule

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Re-enable difference rule using set_sort directly

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Update finite_set_rewriter.h

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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@ -9,12 +9,44 @@ Abstract:
Rewriting Simplification for finite sets
Sampe rewrite rules:
Sample rewrite rules:
set.union s set.empty -> s
set.intersect s set.empty -> set.empty
set.in x (set.singleton y) -> x = y
set.subset(x,y) -> set.intersect(x,y) = x
set.union(x, x) -> x
set.intersect(x, x) -> x
set.difference(x, x) -> set.empty
Generally this module implements basic algebraic simplificaiton rules for finite sets
where the signature is defined in finite_sets_decl_plugin.h.
Generally this module implements basic algebraic simplification rules for finite sets
where the signature is defined in finite_set_decl_plugin.h.
--*/
#pragma once
#include "ast/finite_set_decl_plugin.h"
#include "ast/rewriter/rewriter_types.h"
#include "util/params.h"
/**
\brief Cheap rewrite rules for finite sets
*/
class finite_set_rewriter {
finite_set_util m_util;
// Rewrite rules for set operations
br_status mk_union(unsigned num_args, expr * const * args, expr_ref & result);
br_status mk_intersect(unsigned num_args, expr * const * args, expr_ref & result);
br_status mk_difference(expr * arg1, expr * arg2, expr_ref & result);
br_status mk_subset(expr * arg1, expr * arg2, expr_ref & result);
public:
finite_set_rewriter(ast_manager & m, params_ref const & p = params_ref()):
m_util(m) {
}
ast_manager & m() const { return m_util.get_manager(); }
family_id get_fid() const { return m_util.get_family_id(); }
finite_set_util& util() { return m_util; }
br_status mk_app_core(func_decl * f, unsigned num_args, expr * const * args, expr_ref & result);
};