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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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Nikolaj Bjorner 2022-12-12 17:29:58 -08:00
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src/tactic/arith/degree_shift_tactic.h
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@ -5,18 +5,37 @@ Module Name:
degree_shift_tactic.h
Abstract:
Simple degree shift procedure.
Basic idea: if goal G contains a real variable x, x occurs with degrees
d_1, ..., d_k in G, and n = gcd(d_1, ..., d_k) > 1.
Then, replace x^n with a new fresh variable y.
Author:
Leonardo de Moura (leonardo) 2011-12-30.
Revision History:
Tactic Documentation:
## Tactic degree-shift
### Short Description
The procedure reduces the degrees of variables.
### Long Description
Basic idea: if goal $G$ contains a real variable $x$, $x$ occurs with degrees
$d_1, ..., d_k$ in $G$, and $n = \gcd(d_1, ..., d_k) > 1$.
Then, replace $x^n$ with a new fresh variable $y$.
### Example
```z3
(declare-const x Real)
(declare-const y Real)
(assert (> (+ (* x x x 4) (* x x 3) 0)))
(assert (= (* x x) (* y y)))
(apply degree-shift)
```
### Notes
* supports proofs and cores
--*/
#pragma once