artdag: Phase 7 optimisation laws as confluent maude module + 11 tests

lib/artdag/optimize-rules.sx — the effect-pipeline optimisation passes (identity
elim, no-op/zero-radius elim, adjacent fusion, idempotent over dedup) as a maude
module. Radius algebra is _+_ [assoc comm id: 0] (NOT Peano successor rules, which
are non-confluent here); mau/confluent? certifies 0 non-joinable critical pairs, so
the optimised pipeline's normal form / content id is rewrite-order stable. Consumes
lib/maude/confluence.sx. maude-optimize 25/25, total 183/183.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
This commit is contained in:
2026-06-19 13:48:17 +00:00
parent aec83f0aac
commit 1fd3aea81b
6 changed files with 156 additions and 8 deletions

View File

@@ -110,3 +110,60 @@
(artdag/dag-id mo-diamond "a")
(keys (artdag/dag-nodes mo-diamond-rt)))
true)
; ---- optimisation laws as a confluent maude module (optimize-rules.sx) ----
; The optimised pipeline is the normal form; confluence => stable content id.
(artdag-test "opt module is confluent" (artdag/opt-confluent?) true)
(artdag-test
"opt module has no non-joinable critical pairs"
(len (artdag/opt-non-joinable))
0)
(artdag-test
"law: identity elimination"
(artdag/opt-normal-form "id(src)")
"src")
(artdag-test
"law: zero-radius blur is a no-op"
(artdag/opt-normal-form "blur(src, 0)")
"src")
(artdag-test
"law: zero-radius bright is a no-op"
(artdag/opt-normal-form "bright(src, 0)")
"src")
(artdag-test
"law: adjacent blur fusion adds radii"
(artdag/opt-normal-form "blur(blur(src, 1), 1)")
"blur(src, _+_(1, 1))")
(artdag-test
"fusion normal form is rewrite-order stable"
(artdag/opt-same-form?
"blur(blur(blur(src, 1), 1), 1)"
"blur(blur(src, 1 + 1), 1)")
true)
(artdag-test
"laws compose: id + no-op + fusion"
(artdag/opt-normal-form "bright(id(blur(blur(src, 1), 1)), 0)")
"blur(src, _+_(1, 1))")
(artdag-test
"law: idempotent over dedup (CSE)"
(artdag/opt-normal-form "over(blur(src, 1), blur(src, 1))")
"blur(src, 1)")
(artdag-test
"distinct over operands do not dedup"
(artdag/opt-same-form? "over(blur(src, 1), blur(src, 1 + 1))" "blur(src, 1)")
false)
(artdag-test
"distinct pipelines stay distinct"
(artdag/opt-same-form? "blur(src, 1)" "bright(src, 1)")
false)