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authorMiguel <m.i@gmx.at>2019-03-17 18:14:32 +0100
committerMiguel <m.i@gmx.at>2019-03-17 18:14:32 +0100
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- May 2018
-Lambda Calculus
-===============
-
-Playing with Type Quantifiers and Haskell's Rank 2 Type Polymorphsim,
-implementing Boolean logic from scratch. We use the conventional
-definitions for `True` an `False` also known as Church booleans, after Alonzo Church, who
-intruced them along Lambda Calculus in the 1930s [[1]](#ref).
-
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ {.haskell .numberLines}
-{-# LANGUAGE Rank2Types #-}
-
-fTrue :: forall a. a->a->a
-fTrue x y = x
-
-fFalse :: forall a. a->a->a
-fFalse x y = y
-
-fAnd :: (forall a. a->a->a)->(forall a. a->a->a)->(forall a. a->a->a)
-fAnd p q = p q p
-
-fOr :: (forall a. a->a->a)->(forall a. a->a->a)->(forall a. a->a->a)
-fOr p q = p p q
-
-fNot :: (forall a. a->a->a)->(forall a. a->a->a)
-fNot p = p fFalse fTrue
-
-ifThenElse :: (forall a. a->a->a)->(forall a. a->a->a)
- ->(forall a. a->a->a)->(forall a. a->a->a)
-ifThenElse p a b = p a b
-
--- Example --
-
-main = print $ (ifThenElse fFalse fFalse $ fAnd fTrue $ fNot fFalse) "T" "F"
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-
-## Ref
-
-* [1] <https://en.wikipedia.org/wiki/Lambda_calculus>