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 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 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
;
; 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
;
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
;
+let t1 = (make_list 1 empty) in
+let t2 = (make_list 2 empty) in
+let t3 = (make_list 3 empty) in
+let t12 = (make_list t1 (make_list t2 empty)) in
+let t23 = (make_list t2 (make_list t3 empty)) in
+let ta = (make_list t1 t23) in
+let tb = (make_list t12 t3) in
+let tc = (make_list t1 (make_list t23 empty)) in
+;
+;sum-leaves t1 ~~> 1
+;sum-leaves t2 ~~> 2
+;sum-leaves t3 ~~> 3
+;sum-leaves t12 ~~> 3
+;sum-leaves t23 ~~> 5
+;sum-leaves ta ~~> 6
+;sum-leaves tb ~~> 6
+;
length (tail mylist)
</textarea>
+
<input id="PARSE" value="Normalize" type="button">
<input id="ETA" type="checkbox">do eta-reductions too
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