Algebraic Data Types
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0 β Void 1 β () 2 β Bool 3 β Ordering (+) sum-type (Γ) product a type-var L type-ctor C data-ctor
product: a Γ b β
Pair a b β
(a,b) β
And a b β
a β§ b
sumtype: a + b β
Either a b β
(a|b) β
Or a b β
a β¨ b
a -> b -> c β‘ a -> (b -> c)
a -> b β bα΅
Pairs
(a, b) -> c β
a -> b -> c CURRY/UNCURRY
a -> (b * c) β
(a -> b * a -> c) a -> (b, c) β
(a -> b, a -> c)
a -> (b + c) β (a -> b + a -> c)
Arithmetics
(a b)Λ’ = aΛ’ bΛ’ (a b) ^ n = a ^ n b ^ n
m1 a b n = (a ^ n) * (b ^ n) m1 :: (Integral b, Num a) => a -> a -> b -> a
m2 a b n = (a * b) ^ n m2 :: (Integral b, Num a) => a -> a -> b -> a