maude: confluence / critical-pair checking (12 tests, 274 total)

lib/maude/confluence.sx — two-sided syntactic unification (occurs-checked) →
critical pairs from LHS overlaps → joinability via AC-canonical normal forms.
mau/confluent? / mau/non-joinable-pairs / mau/critical-pairs / mau/cp->str.
Catches f(a)=b,a=c (b <?> f(c)); peano/idempotent/AC confirmed confluent.
Syntactic overlaps (AC under-approximated, joinability uses canon). This is
the CID-stability oracle for the artdag optimiser.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

lib/maude/scoreboard.json

@@ -1,12 +1,13 @@
 {
   "lang": "maude",
-  "total_passed": 262,
+  "total_passed": 274,
   "total_failed": 0,
-  "total": 262,
+  "total": 274,
   "suites": [
     {"name":"parse","passed":65,"failed":0,"total":65},
     {"name":"reduce","passed":26,"failed":0,"total":26},
     {"name":"matching","passed":28,"failed":0,"total":28},
+    {"name":"confluence","passed":12,"failed":0,"total":12},
     {"name":"conditional","passed":19,"failed":0,"total":19},
     {"name":"owise","passed":8,"failed":0,"total":8},
     {"name":"gather","passed":7,"failed":0,"total":7},
@@ -19,5 +20,5 @@
     {"name":"run","passed":10,"failed":0,"total":10},
     {"name":"effects","passed":8,"failed":0,"total":8}
   ],
-  "generated": "2026-06-07T19:38:27+00:00"
+  "generated": "2026-06-07T20:18:07+00:00"
 }