X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=assignment_3_evaluator.mdwn;h=496003d08e11017e54aa4324e7f04a521ce2a60b;hp=9207c05882b63abc88b11ba0716e3487e6e509d6;hb=43a168d149dd549338cd3f8b59c85bef3ba4de20;hpb=aa056fb83840d1a281992dc6e7db351cc513e681 diff --git a/assignment_3_evaluator.mdwn b/assignment_3_evaluator.mdwn index 9207c058..496003d0 100644 --- a/assignment_3_evaluator.mdwn +++ b/assignment_3_evaluator.mdwn @@ -6,17 +6,17 @@ let true = \x y. x in let false = \x y. y in let and = \l r. l (r true false) false in let make\_pair = \f s g. g f s in -let fst = true in -let snd = false in +let get\_fst = true in +let get\_snd = false in let empty = make\_pair true junk in -let isempty = \x. x fst in +let isempty = \x. x get\_fst in let make\_list = \h t. make\_pair false (make\_pair h t) in -let head = \l. isempty l err (l snd fst) in -let tail = \l. isempty l err (l snd snd) in - +let head = \l. isempty l err (l get\_snd get\_fst) in +let tail = \l. isempty l err (l get\_snd get\_snd) in +; ; a list of numbers to experiment on let mylist = make\_list 1 (make\_list 2 (make\_list 3 empty)) in - +; ; church numerals let iszero = \n. n (\x. false) true in let succ = \n s z. s (n s z) in @@ -24,20 +24,22 @@ let mul = \m n s. m (n s) in let pred = \n. iszero n 0 (length (tail (n (\p. make\_list junk p) empty))) in let leq = \m n. iszero(n pred m) in let eq = \m n. and (leq m n)(leq n m) in - +; ; a fixed-point combinator for defining recursive functions let Y = \f. (\h. f (h h)) (\h. f (h h)) in - +; let length = Y (\length l. isempty l 0 (succ (length (tail l)))) in - +; ; synonyms let makePair = make\_pair in +let fst = get\_fst in +let snd = get\_snd in let nil = empty in let isNil = isempty in let makeList = make\_list in let isZero = iszero in let mult = mul in - +; length (tail mylist)