mirror of
https://github.com/Z3Prover/z3
synced 2026-06-27 10:58:48 +00:00
move seq_derive and fix include paths, remove antimirov code
This commit is contained in:
parent
52c7e89c31
commit
e74d2d2151
6 changed files with 3 additions and 425 deletions
|
|
@ -1,130 +0,0 @@
|
|||
/*++
|
||||
Copyright (c) 2025 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
seq_derive.h
|
||||
|
||||
Abstract:
|
||||
|
||||
Symbolic derivative computation for regular expressions.
|
||||
Produces an ITE-tree (transition regex) representation where
|
||||
the free variable is de Bruijn index 0 representing the input character.
|
||||
|
||||
Based on the theory of symbolic derivatives and transition regexes:
|
||||
- Veanes et al., "On Symbolic Derivatives and Transition Regexes" (LPAR 2024)
|
||||
- Varatalu, Veanes, Ernits, "RE#" (POPL 2025)
|
||||
- Stanford, Veanes, Bjørner, "Symbolic Boolean Derivatives" (PLDI 2021)
|
||||
|
||||
Authors:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2025-06-03
|
||||
|
||||
--*/
|
||||
|
||||
#pragma once
|
||||
|
||||
#include "ast/seq_decl_plugin.h"
|
||||
#include "ast/arith_decl_plugin.h"
|
||||
#include "ast/array_decl_plugin.h"
|
||||
#include "ast/rewriter/bool_rewriter.h"
|
||||
|
||||
namespace seq {
|
||||
|
||||
/**
|
||||
* Symbolic derivative engine for regular expressions.
|
||||
*
|
||||
* Given a regex r, operator()(r) computes a symbolic derivative δ(r)
|
||||
* represented as an ITE-tree over character predicates (using de Bruijn
|
||||
* variable 0 for the character). Evaluating the ITE-tree for a concrete
|
||||
* character 'a' yields the classical Brzozowski derivative δ_a(r).
|
||||
*
|
||||
* The ITE-tree structure implicitly defines minterms (equivalence classes
|
||||
* of characters indistinguishable by the regex).
|
||||
*
|
||||
* Key properties:
|
||||
* - Results are memoized for termination on cyclic derivative graphs
|
||||
* - Union/intersection operands are sorted for ACI canonicalization
|
||||
* - Depth-bounded to prevent stack overflow
|
||||
*/
|
||||
class derive {
|
||||
ast_manager& m;
|
||||
seq_util m_util;
|
||||
arith_util m_autil;
|
||||
bool_rewriter m_br;
|
||||
|
||||
// Cache: maps regex expr to its symbolic derivative
|
||||
obj_map<expr, expr*> m_cache;
|
||||
expr_ref_vector m_trail; // pin cached results
|
||||
|
||||
// Depth limiting
|
||||
unsigned m_depth { 0 };
|
||||
static const unsigned m_max_depth = 512;
|
||||
|
||||
seq_util::rex& re() { return m_util.re; }
|
||||
seq_util& u() { return m_util; }
|
||||
|
||||
// The element (character) for the current derivative computation
|
||||
expr_ref m_ele;
|
||||
|
||||
// Core derivative computation
|
||||
expr_ref derive_rec(expr* r);
|
||||
expr_ref derive_core(expr* r);
|
||||
|
||||
// Helpers for specific regex constructs
|
||||
expr_ref derive_to_re(expr* s, sort* seq_sort);
|
||||
expr_ref derive_range(expr* lo, expr* hi, sort* seq_sort);
|
||||
expr_ref derive_of_pred(expr* pred, sort* seq_sort);
|
||||
|
||||
// Nullable check: returns a Boolean expression
|
||||
expr_ref is_nullable(expr* r);
|
||||
expr_ref is_nullable_rec(expr* r);
|
||||
|
||||
// Smart constructors with simplification and ACI canonicalization
|
||||
expr_ref mk_union(expr* a, expr* b);
|
||||
expr_ref mk_inter(expr* a, expr* b);
|
||||
expr_ref mk_concat(expr* a, expr* b);
|
||||
expr_ref mk_complement(expr* a);
|
||||
expr_ref mk_ite(expr* c, expr* t, expr* e);
|
||||
|
||||
// Flatten and sort for ACI normal form
|
||||
void flatten_union(expr* r, expr_ref_vector& args);
|
||||
void flatten_inter(expr* r, expr_ref_vector& args);
|
||||
expr_ref mk_union_from_sorted(expr_ref_vector& args);
|
||||
expr_ref mk_inter_from_sorted(expr_ref_vector& args);
|
||||
|
||||
// ITE-tree binary combinator (analogous to REsharp mk_binary)
|
||||
// Combines two ITE-tree derivatives with a binary regex operation
|
||||
expr_ref ite_combine_binary(expr* d1, expr* d2,
|
||||
std::function<expr_ref(expr*, expr*)> const& op);
|
||||
|
||||
// ITE-tree unary combinator (analogous to REsharp mk_unary)
|
||||
expr_ref ite_combine_unary(expr* d, std::function<expr_ref(expr*)> const& op);
|
||||
|
||||
// Distribute concatenation through ITE/union in derivative
|
||||
expr_ref mk_deriv_concat(expr* d, expr* tail);
|
||||
|
||||
sort* re_sort(expr* r) { return r->get_sort(); }
|
||||
sort* seq_sort(expr* r) { sort* s = nullptr; m_util.is_re(r, s); return s; }
|
||||
sort* ele_sort(expr* r) { sort* s = seq_sort(r); sort* e = nullptr; m_util.is_seq(s, e); return e; }
|
||||
|
||||
public:
|
||||
derive(ast_manager& m);
|
||||
|
||||
/**
|
||||
* Compute the derivative of regex r with respect to element ele.
|
||||
* When ele is a de Bruijn variable, produces a symbolic ITE-tree.
|
||||
* When ele is a concrete character, produces the concrete derivative.
|
||||
*/
|
||||
expr_ref operator()(expr* ele, expr* r);
|
||||
|
||||
/**
|
||||
* Convenience: symbolic derivative using de Bruijn var 0.
|
||||
*/
|
||||
expr_ref operator()(expr* r);
|
||||
|
||||
void reset();
|
||||
};
|
||||
|
||||
}
|
||||
|
||||
Loading…
Add table
Add a link
Reference in a new issue