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rose-ash/lib/maude/tests/searchpath.sx
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maude: witness-path search for puzzle solvers (8 tests, 221 total)
lib/maude/searchpath.sx — mau/search-path returns the shortest sequence of
states from start to goal (the solution moves), mau/search-length its step
count. BFS over all one-step successors, threading the path.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-07 15:36:46 +00:00

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;; lib/maude/tests/searchpath.sx — search returning the witness path.
(define msp-pass 0)
(define msp-fail 0)
(define msp-failures (list))
(define
msp-check!
(fn
(name got expected)
(if
(= got expected)
(set! msp-pass (+ msp-pass 1))
(do
(set! msp-fail (+ msp-fail 1))
(append!
msp-failures
(str name " expected: " expected " got: " got))))))
(define
msp-ndet
(mau/parse-module
"mod NDET is\n sort S .\n ops a b c d goal : -> S .\n rl [r1] : a => b .\n rl [r2] : a => c .\n rl [r3] : b => d .\n rl [r4] : c => goal .\nendm"))
;; shortest path a -> c -> goal
(msp-check!
"path-to-goal"
(mau/search-path msp-ndet "a" "goal" 5)
(list "a" "c" "goal"))
(msp-check!
"path-length"
(mau/search-length msp-ndet "a" "goal" 5)
2)
(msp-check!
"path-self"
(mau/search-path msp-ndet "a" "a" 3)
(list "a"))
(msp-check!
"path-one-step"
(mau/search-path msp-ndet "a" "b" 3)
(list "a" "b"))
(msp-check!
"path-unreachable"
(mau/search-path msp-ndet "d" "goal" 5)
nil)
(msp-check!
"path-depth-limited"
(mau/search-path msp-ndet "a" "goal" 1)
nil)
;; a counter that ticks up: path shows each state
(define
msp-walk
(mau/parse-module
"mod WALK is\n sort Pos .\n op z : -> Pos .\n op s : Pos -> Pos .\n op p : Pos -> Pos .\n var X : Pos .\n rl [step] : p(X) => p(s(X)) .\nendm"))
(msp-check!
"walk-path"
(mau/search-path msp-walk "p(z)" "p(s(s(z)))" 5)
(list "p(z)" "p(s(z))" "p(s(s(z)))"))
(msp-check!
"walk-length"
(mau/search-length msp-walk "p(z)" "p(s(s(s(z))))" 6)
3)
(define mau-searchpath-tests-run! (fn () {:failures msp-failures :total (+ msp-pass msp-fail) :passed msp-pass :failed msp-fail}))