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| author | Miguel <m.i@gmx.at> | 2019-03-17 18:14:32 +0100 |
|---|---|---|
| committer | Miguel <m.i@gmx.at> | 2019-03-17 18:14:32 +0100 |
| commit | 0e4810dcfb132bf276a282e25b8523a4009ae08b (patch) | |
| tree | dac6dce820f0a35d9ed7ea7676982a0f86fd0edb /00_blog/00040_Haskell/00120_Lambda-Calculus | |
| parent | ad6411e9ec256b03f20b9195e25cb128fe02c628 (diff) | |
rename blog dir
Diffstat (limited to '00_blog/00040_Haskell/00120_Lambda-Calculus')
| -rw-r--r-- | 00_blog/00040_Haskell/00120_Lambda-Calculus/index.md | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/00_blog/00040_Haskell/00120_Lambda-Calculus/index.md b/00_blog/00040_Haskell/00120_Lambda-Calculus/index.md new file mode 100644 index 0000000..b86950f --- /dev/null +++ b/00_blog/00040_Haskell/00120_Lambda-Calculus/index.md @@ -0,0 +1,39 @@ + 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> |
