tricu/lib/base.tri

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false = t
_ = t
true = t t
k = t t
i = t (t k) t
s = t (t (k t)) t
m = s i i
b = s (k s) k
c = s (s (k s) (s (k k) s)) (k k)
id = \a : a
pair = t
if = \cond then else : t (t else (t t then)) t cond
y = ((\mut wait fun : wait mut (\x : fun (wait mut x)))
(\x : x x)
(\a0 a1 a2 : t (t a0) (t t a2) a1))
triage = \leaf stem fork : t (t leaf stem) fork
test = triage "Leaf" (\_ : "Stem") (\_ _ : "Fork")
matchBool = (\ot of : triage
of
(\_ : ot)
(\_ _ : ot)
)
matchList = \a b : triage a _ b
matchPair = \a : triage _ _ a
not? = matchBool false true
and? = matchBool id (\_ : false)
emptyList? = matchList true (\_ _ : false)
head = matchList t (\head _ : head)
tail = matchList t (\_ tail : tail)
lconcat = y (\self : matchList
(\k : k)
(\h r k : pair h (self r k)))
lAnd = (triage
(\_ : false)
(\_ x : x)
(\_ _ x : x))
lOr = (triage
(\x : x)
(\_ _ : true)
(\_ _ _ : true))
map_ = y (\self :
matchList
(\_ : t)
(\head tail f : pair (f head) (self tail f)))
map = \f l : map_ l f
equal? = y (\self : triage
(triage
true
(\_ : false)
(\_ _ : false))
(\ax :
triage
false
(self ax)
(\_ _ : false))
(\ax ay :
triage
false
(\_ : false)
(\bx by : lAnd (self ax bx) (self ay by))))
filter_ = y (\self : matchList
(\_ : t)
(\head tail f : matchBool (t head) i (f head) (self tail f)))
filter = \f l : filter_ l f
foldl_ = y (\self f l x : matchList (\acc : acc) (\head tail acc : self f tail (f acc head)) l x)
foldl = \f x l : foldl_ f l x
foldr_ = y (\self x f l : matchList x (\head tail : f (self x f tail) head) l)
foldr = \f x l : foldr_ x f l