lean4-htt/src/Std/Tactic
Tobias Grosser 7c62881a95
feat: bv_decide short-circuit a * x = b * x (#6496)
This PR adds short-circuit support to bv_decide to accelerate
multiplications with shared coefficients. In particular, `a * x = b * x`
can be extended to `a = b v (a * x = b * x)`. The latter is faster if `a
= b` is true, as `a = b` may be evaluated without considering the
multiplication circuit. On the other hand, we require the multiplication
circuit, as `a * x = b * x -> a = b` is not always true due to two's
complement wrapping.

We support multiplications through acNF, which takes into account shared
terms across equality canonicalizing `a * (b * c1) = a * (b * c2)` to
`(a * b) * c1 = (a * b) * c2`. As a result, the non-shared terms are
lifted to the top such that canonical rewrites for binary multiplication
with shared terms on the left/right are sufficient.

We add an option `bv_decide +shortCircuit` which controls this feature
(currently disabled by default).

---------

Co-authored-by: Siddharth Bhat <siddu.druid@gmail.com>
Co-authored-by: Henrik Böving <hargonix@gmail.com>
2025-03-20 19:51:53 +00:00
..
BVDecide feat: bv_decide short-circuit a * x = b * x (#6496) 2025-03-20 19:51:53 +00:00
BVDecide.lean feat: import LeanSAT's tactic frontends 2024-08-28 18:14:39 +02:00