mirror of
https://github.com/Z3Prover/z3
synced 2026-07-18 21:15:47 +00:00
64 lines
1.4 KiB
C++
64 lines
1.4 KiB
C++
/*++
|
|
Copyright (c) 2017 Microsoft Corporation
|
|
|
|
Module Name:
|
|
|
|
injectivity_tactic.h
|
|
|
|
Abstract:
|
|
|
|
Injectivity tactics
|
|
|
|
Author:
|
|
|
|
Nicolas Braud-Santoni (t-nibrau) 2017-08-10
|
|
|
|
|
|
Tactic Documentation:
|
|
|
|
## Tactic injectivity
|
|
|
|
### Short Description:
|
|
|
|
- Discover axioms of the form `forall x. (= (g (f x)) x`
|
|
Mark `f` as injective
|
|
|
|
- Rewrite (sub)terms of the form `(= (f x) (f y))` to `(= x y)` whenever `f` is injective.
|
|
|
|
### Example
|
|
|
|
```z3
|
|
(declare-fun f (Int) Int)
|
|
(declare-fun g (Int) Int)
|
|
(declare-const x Int)
|
|
(declare-const y Int)
|
|
(assert (forall ((x Int)) (= (g (f x)) x)))
|
|
(assert (not (= (f x) (f (f y)))))
|
|
(apply injectivity)
|
|
```
|
|
|
|
### Notes
|
|
|
|
* does not support cores nor proofs
|
|
|
|
--*/
|
|
#pragma once
|
|
|
|
#include "util/params.h"
|
|
#include "tactic/dependent_expr_state_tactic.h"
|
|
#include "ast/simplifiers/injectivity_simplifier.h"
|
|
class ast_manager;
|
|
class tactic;
|
|
|
|
inline tactic* mk_injectivity_tactic(ast_manager& m, params_ref const& p = params_ref()) {
|
|
return alloc(dependent_expr_state_tactic, m, p,
|
|
[](auto& m, auto& p, auto& s) -> dependent_expr_simplifier* {
|
|
return alloc(injectivity_simplifier, m, p, s);
|
|
});
|
|
}
|
|
|
|
/*
|
|
ADD_TACTIC("injectivity", "Identifies and applies injectivity axioms.", "mk_injectivity_tactic(m, p)")
|
|
ADD_SIMPLIFIER("injectivity", "Identifies and applies injectivity axioms.", "alloc(injectivity_simplifier, m, p, s)")
|
|
*/
|
|
|