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add missing tactic descriptions, add rewrite for tamagochi

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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Nikolaj Bjorner 2023-01-08 13:32:26 -08:00
parent 95cb06d8cf
commit fcea32344e
19 changed files with 147 additions and 49 deletions
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36
src/tactic/core/eliminate_predicates_tactic.h
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@ -13,6 +13,42 @@ Author:
Nikolaj Bjorner (nbjorner) 2022-10-30
Tactic Documentation:
## Tactic elim-predicates
### Short Description
Eliminates predicates and macros from a formula.
### Long Description
The tactic subsumes the functionality of `macro-finder` and `quasi-macros`.
Besides finding macros, it eliminates predicates using Davis-Putnam
resolution.
### Example
the predicate `p` occurs once positively. All negative occurrences of `p` are resolved against this positive occurrence.
The result of resolution is a set of equalities between arguments to `p`. The function `f` is replaced by a partial solution.
```
(declare-fun f (Int Int Int) Int)
(declare-fun p (Int) Bool)
(declare-const a Int)
(declare-const b Int)
(assert (forall ((x Int) (y Int)) (= (f x y (+ x y)) (* 2 x y))))
(assert (p (f 8 a (+ a 8))))
(assert (not (p (f 0 a (+ a 8)))))
(assert (not (p (f 2 a (+ a 8)))))
(assert (not (p (f 1 a (+ a b)))))
(apply elim-predicates)
```
### Notes
* support unsat cores
* does not support proofs
--*/
#pragma once