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authorMiguel <m.i@gmx.at>2019-02-19 16:42:05 +0100
committerMiguel <m.i@gmx.at>2019-02-19 16:42:05 +0100
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tree176142ae4e7d125f303c9e6bae149c1474d0d430 /080_blog/00040_Haskell-Projects/00120_Lambda-Calculus-(Haskell)
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-Lambda Calculus
-===============
-
- May 2, 2018
-
-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].
-
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ {.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"
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-
- [1] https://en.wikipedia.org/wiki/Lambda_calculus