hy/eg/nonfree/halting-problem/halting.hy

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2013-03-15 02:03:33 +01:00
#!/usr/bin/env hy
; Very much a knockoff (straight port) of Dan Gulotta's 2013 MIT Mystery Hunt
2013-03-15 02:03:33 +01:00
; puzzle "The Halting Problem". His Copyright terms are unclear, so presume
; that this is distributable, but not free.
(defn evaluate [f] ((f (lambda [x] (+ x 1))) 0))
(defn successor [n] (lambda [f] (lambda [x] (f ((n f) x)))))
(defn plus [m n] ((n successor) m))
(defn exponent [m n] (n m))
(defn zero [f] (lambda [x] x))
(defn one [f] (lambda [x] (f x)))
(defn predecessor [n] (lambda [f] (lambda [x]
(((n (lambda [g] (lambda [h] (h (g f))))) (lambda [y] x)) (lambda [z] z)))))
(defn subtract [m n] ((m predecessor) n))
(def two (plus one one))
(def three (plus two one))
(print (evaluate (exponent three three)))