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A functional programming idiom for composing computations

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With arrows, like monads, one can compose computations as defined by <cite>hughes2000generalising</cite>. Arrows are more versatile than monads. For instance, arrows can be independent of the input or take multiple inputs. <cite>haskellOrgArrows</cite> In Haskell, arrows are supported by the. type class 

Arrow
An arrow is defined by two functions. <cite>ghcArrows</cite>: 
Arrow a => arr :: (b -> c) -> a b c
: Lifts a function of type 
b -> c
into the arrow space. 
Arrow a => first :: a b c -> a (b, d) (c, d)
: Applies a computation only to a part of the input and copies the rest to the output. <cite>haskellOrgArrows</cite>

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