X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=assignment_3_evaluator.mdwn;h=496003d08e11017e54aa4324e7f04a521ce2a60b;hp=b0835a9afc75a5f33620693d93b232a2897cbcd4;hb=6a60dbeb81ccc4949724a6db13a264a0b322a22d;hpb=706831f192a9534f7dbb32c81535cd2b3b32a6f1 diff --git a/assignment_3_evaluator.mdwn b/assignment_3_evaluator.mdwn index b0835a9a..496003d0 100644 --- a/assignment_3_evaluator.mdwn +++ b/assignment_3_evaluator.mdwn @@ -5,39 +5,41 @@ Here are the definitions pre-loaded for working on assignment 3: 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 empty = make_pair true junk in -let isempty = \x. x 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 make\_pair = \f s g. g f s in +let get\_fst = true in +let get\_snd = false in +let empty = make\_pair true junk 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 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 - +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 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 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 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 makeList = make\_list in let isZero = iszero in let mult = mul in - +; length (tail mylist)