X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=assignment_3_evaluator.mdwn;h=28693f436d9360d5603354a48ecf498e32633e8f;hp=eb3c18b6d52457d4f4402e53e0c9b06e2d34a4d4;hb=1859a8c4b42139e3a557ec44dd8edd1e1acb71f9;hpb=2a61846bbb48e29385fc7639a47c76f82d70bb18 diff --git a/assignment_3_evaluator.mdwn b/assignment_3_evaluator.mdwn index eb3c18b6..28693f43 100644 --- a/assignment_3_evaluator.mdwn +++ b/assignment_3_evaluator.mdwn @@ -6,23 +6,24 @@ let true = \x y. x in let false = \x y. y in let and = \l r. l (r true false) false in let or = \l r. l true r 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 +; +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 = (\shift n. n shift (make_pair 0 0) get_snd) (\p. p (\x y. make_pair (succ x) x)) in +let pred = (\shift n. n shift (make\_pair 0 0) get\_snd) (\p. p (\x y. make\_pair (succ x) x)) in let leq = \m n. iszero(n pred m) in let eq = \m n. and (leq m n)(leq n m) in ; @@ -32,12 +33,12 @@ 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 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 ; @@ -60,6 +61,7 @@ let tc = (make_list t1 (make_list t23 empty)) in ; length (tail mylist) + do eta-reductions too