Created
October 10, 2011 03:17
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The straightforward way to write 256
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#lang racket | |
;; Mogensen-Scott encoding | |
(define-syntax encode | |
(syntax-rules (λ) | |
[(encode (λ (x) e)) | |
(λ (VAR) (λ (APP) (λ (LAM) (LAM (λ (x) (encode e))))))] | |
[(encode (e0 e1)) | |
(λ (VAR) (λ (APP) (λ (LAM) ((APP (encode e0)) (encode e1)))))] | |
[(encode x) | |
(λ (VAR) (λ (APP) (λ (LAM) (VAR x))))])) | |
(define (decode t) | |
(((t (λ (x) x)) | |
(λ (l) | |
(λ (r) | |
((decode l) (decode r))))) | |
(λ (f) | |
(λ (x) (decode (f x)))))) | |
(define ev | |
(encode | |
((λ (f) ;; Y | |
((λ (r) (f (λ (a) ((r r) a)))) | |
(λ (r) (f (λ (a) ((r r) a)))))) | |
(λ (e) ;; eval | |
(λ (t) | |
(((t (λ (x) x)) | |
(λ (l) (λ (r) ((e l) (e r))))) | |
(λ (f) (λ (x) (e (f x)))))))))) | |
((((((decode ev) ev) ev) | |
(encode ((λ (s) (λ (z) (s (s z)))) | |
((λ (s) (λ (z) (s (s z)))) | |
((λ (s) (λ (z) (s (s z)))) | |
(λ (s) (λ (z) (s (s z))))))))) | |
add1) | |
0) |
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