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z3/src/tactic/arith/fm_tactic.h
2023-01-20 17:30:40 +00:00

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/*++
Copyright (c) 2012 Microsoft Corporation
Module Name:
fm_tactic.h
Author:
Leonardo de Moura (leonardo) 2012-02-04.
Tactic Documentation:
## Tactic fm
### Short Description
Use Fourier-Motzkin to eliminate variables.
This strategy can handle conditional bounds
(i.e., clauses with at most one constraint).
The tactic occf can be used to put the
formula in OCC form.
### Example
```z3
(declare-const x Real)
(declare-const y Real)
(declare-const z Real)
(declare-const u Real)
(declare-const v Real)
(declare-const w Real)
(declare-fun P (Real) Bool)
(assert (<= x (+ y (* 2.0 z))))
(assert (>= x (- y z)))
(assert (>= x (- y 3 (* 3 z))))
(assert (>= x 5))
(assert (<= x u))
(assert (>= x v))
(assert (P u))
(assert (P v))
(apply fm)
```
--*/
#pragma once
#include "util/params.h"
class ast_manager;
class tactic;
tactic * mk_fm_tactic(ast_manager & m, params_ref const & p = params_ref());
/*
ADD_TACTIC("fm", "eliminate variables using fourier-motzkin elimination.", "mk_fm_tactic(m, p)")
*/