| Age | Commit message (Collapse) | Author |
|---|
|
The logic is implemented in OCaml. By induction over the terms,
guided by registered Coq terms in ZifyInst.v, it generates a rewriting
lemma. The rewriting is only performed if there is some progress. If
the rewriting fails (due to dependencies), a novel hypothesis is
generated.
This PR fixes #5155, fixes #8898, fixes #7886, fixes #10707, fixes #9848
ans fixes #10755.
The zify plugin is placed in the micromega directory.
(Though the reason is unclear, having it in a separate directory is
bad for efficiency.) efficiency impact.
There are also a few improvements of lia/lra that are piggybacked.
- more aggressive pruning of useless hypotheses
- slightly optimised conjunctive normal form
- applies exfalso if conclusion is not in Prop
- removal of Timeout in test-suite
|
|
|
|
Z.to_euclidean_division_equations
|
|
This reverts commit b49f4e966443a76ac70d37c4cde68f94de164c01.
It turns out the 4x was due to .nia.cache (because I didn't clean
sufficiently in testing), not due to `subst`.
|
|
This speeds up the file from 2m32s to
```
real 0m41.851s
user 0m41.512s
sys 0m0.376s
```
Also note the `subst` trick in the doc.
|
|
Also fold it into `Z.div_mod_to_quot_rem`
Note that the test-suite file is a bit slow. On my machine, it is
```
real 2m32.983s
user 2m32.544s
sys 0m0.492s
```
|
|
Note that we define a `cleanup` tactic which is essential for speed of
reasoning. Perhaps this tactic should make it into the code for
`Z.div_mod_to_quot_rem` somewhere?
```coq
Ltac cleanup :=
repeat match goal with
| [ H : ?T -> _, H' : ?T |- _ ] => specialize (H H')
| [ H : ?T -> _, H' : ~?T |- _ ] => clear H
| [ H : ~?T -> _, H' : ?T |- _ ] => clear H
| [ H : 0 < ?x -> _, H' : ?x < 0 |- _ ] => clear H
| [ H : ?x < 0 -> _, H' : 0 < ?x |- _ ] => clear H
| _ => progress subst
end.
```
|
|
Alas, I have not had time to work on imrpoving the performance of nia,
and there has been a request to include this tactic (which is useful on
its own) without bundling it into `zify`. So that is what we do here.
I leave the definition of it in `PreOmega` in case we want to eventually
include it in `zify`/`nia`.
|
|
The various (micr)omega tactics now support `Z.div` and `Z.modulo`.
I briefly looked into supporting `Nat.div` and `Nat.modulo`, but the
conversions between `Z.div` and `Nat.div` are defined in `ZArith.Zdiv`,
which depends on `Omega`, which depends on `PreOmega`, which is where
`zify` is defined.
|
