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- Fixed-point combinatorThe Y combinator is a fixed-point combinator in lambda calculus12. It is a function that takes another function as an argument and returns a function that is a fixed point of the argument function, i.e. a function that satisfies f(x) = x1. The Y combinator is defined as Y = λf.(λx.f (x x)) (λx.f (x x))2. It allows recursion to be achieved by passing in a function as a parameter1.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.
In the lambda calculus it is not possible to refer to the definition of a function in a function body. Recursion may only be achieved by passing in a function as a parameter. The Y combinator demonstrates this style of programming. The Y combinator is an implementation of a fixed-point combinator in lambda calculus.
en.wikipedia.org/wiki/Fixed-point_combinatorThe Y Y combinator is defined as: Y=[&lambda&] f. ([&lambda&] x.f (x x)) ([&lambda&] x.f (x x)) Y = λf.(λx.f (x x)) (λx.f (x x)) Applying the Y Y combinator gives,sookocheff.com/post/fp/recursive-lambda-functions/ - People also ask
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