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Haskell (/ ˈ h æ s k əl / [25]) is a general-purpose, statically typed, purely functional programming language with type inference and lazy evaluation. [ 26 ] [ 27 ] Designed for teaching, research, and industrial applications, Haskell pioneered several programming language features such as type classes , which enable type-safe operator ...
Applicative functors first appeared as a library feature in Haskell, but have since spread to other languages as well, including Idris, Agda, OCaml, Scala and F#. Glasgow Haskell, Idris, and F# offer language features designed to ease programming with applicative functors. In Haskell, applicative functors are implemented in the Applicative type ...
In functional programming, a functor is a design pattern inspired by the definition from category theory that allows one to apply a function to values inside a generic type without changing the structure of the generic type. In Haskell this idea can be captured in a type class:
Pure functional programming performs these tasks, and I/O tasks such as accepting user input and printing to the screen, in a different way. The pure functional programming language Haskell implements them using monads, derived from category theory. [80]
The Haskell community would go on to apply monads to many problems in functional programming, and in the 2010s, researchers working with Haskell eventually recognized that monads are applicative functors; [24] [j] and that both monads and arrows are monoids. [26]
Much of Haskell code is similar to standard mathematical notation in facility and syntax. The first line of the factorial function describes the type of this function; while it is optional, it is considered to be good style [1] to include it. It can be read as the function factorial (factorial) has type (::) from integer to integer (Integer ...
In Haskell, the polymorphic function map :: (a -> b) -> [a] -> [b] is generalized to a polytypic function fmap :: Functor f => (a -> b) -> f a -> f b, which applies to any type belonging the Functor type class. The type constructor of lists [] can be defined as an instance of the Functor type class using the map function from the previous example:
reactive-banana is a target-agnostic push FRP implementation in Haskell. netwire and varying are arrowized, pull FRP implementations in Haskell. Flapjax is a behavior–event FRP implementation in JavaScript. React is an OCaml module for functional reactive programming.