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applicative [2014/08/24 17:44]
nikolaj
applicative [2014/08/25 00:05]
nikolaj
Line 3: Line 3:
 === Definition === === Definition ===
 <​code/​Haskell> ​ <​code/​Haskell> ​
 +-- definition
 class Functor f => Applicative f where class Functor f => Applicative f where
   pure  :: a -> f a   pure  :: a -> f a
Line 8: Line 9:
 </​code>​ </​code>​
  
-=== Laws === +pure id <*> v $\ \leftrightsquigarrow\ $ v
-pure id <*> v $\ \leftrightsquigarrow\ $ v |+
  
-pure f <*> pure x $\ \leftrightsquigarrow\ $ pure (f x) |+pure f <*> pure x $\ \leftrightsquigarrow\ $ pure (f x)
  
-u <*> pure y $\ \leftrightsquigarrow\ $ pure ($ y) <*> u |+u <*> pure y $\ \leftrightsquigarrow\ $ pure ($ y) <*> u
  
-u <*> (v <*> w) $\ \leftrightsquigarrow\ $ pure (.) <*> u <*> v <*> w |+u <*> (v <*> w) $\ \leftrightsquigarrow\ $ pure (.) <*> u <*> v <*> w
  
 ==== Discussion ==== ==== Discussion ====
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