lib/maude/rewrite.sx: rl/crl transitions interleaved with eq normalisation.
mau/rewrite = default strategy (top-down, leftmost-outermost, first rule);
mau/rew bounded; mau/search = BFS reachability over all successors.
lib/maude/fire.sx: short-circuiting matcher (mau/fire-eq) — finds the first
productive match instead of enumerating the whole solution set. Fixes the
exponential blowup of AC rewriting on many identical elements (8 coins:
60s+ to <1s). Eager match-multiset kept only for match-all / search.
Verified on AC coin-change, traffic light, branching search, crl clock.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
lib/maude/conditional.sx — condition-aware reducer. ceq fires only when
its guard holds: equational guards (l=r reduce to same normal form) and
boolean guards (term reduces to true), evaluated by recursing through the
same reducer. Verified on gcd, insertion sort, max, even.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
The chisel. lib/maude/matching.sx: multi-valued matcher mau/mm returning
ALL substitutions, dispatching on op theory (free/comm/assoc/AC). Identity
lets variables grab empty blocks. AC-canonical form (mau/canon) powers
ac-equal? and deterministic printout. AC rewriting extends f-AC equations
with rest vars so a rule fires on any sub-multiset/subword; mau/first-change
only commits rewrites that change the canonical form (idempotency/identity
terminate). Verified on multiset rewriting, set theory, group equations.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
lib/maude/reduce.sx — one-sided syntactic matching (non-linear patterns
via bound-var equality), immutable substitutions, innermost fixpoint
normalisation. Tested on Peano arithmetic, list ops, a propositional
logic simplifier, and non-linear matching.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Term representation (lib/maude/term.sx) plus a module parser
(lib/maude/parser.sx) consuming lib/guest/lex + pratt:
- whitespace+bracket tokenizer (--- / *** comments)
- mixfix classification (split op names on _): infix/prefix/postfix/const
- precedence-climbing term parser over a pratt table built from op decls
- fmod/mod ... endfm/endm with sort/subsort/op/var/eq/ceq/rl/crl
- transitive subsort hierarchy + operator overloading queries
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
