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Fixed-point combinator

In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator): p.26 is a higher-order function (i.e., a function that takes a function as argument) that returns some fixed point (a value that is mapped to itself) of its argument function, if one exists.

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Overview

Introduction

Fixed-point combinator

Recursive definitions and fixed-point combinators

Fixed-point combinators in lambda calculus

Implementation in other languages

Typing

General information

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Fixed-point combinator

Nodes90
Edges89
Triples60
Avg. degree1.98
Density0.022222
Components1

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Fixed-point combinator

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related to References · 13
Fixed-point combinator → AarhusMatthias Felleisen, Abstract, BRICS Report RS-05-1, Fixed-Point Combinators, Goldberg, ISBN, Lecture, On, Recursive Enumerability, Springer, University, Werner Kluge, Why
related to Imperative language implementation · 6
Fixed-point combinator → As, CRTP, The, Thefix, This, Using
related to Function versus implementation · 5
Fixed-point combinator → General, In, Lambda, That, The
related to Lazy functional implementation · 5
Fixed-point combinator → Haskell, In, In Hackage, Since Haskell, The
related to Non-standard fixed-point combinators · 5
Fixed-point combinator → Any, Böhm, If, Terms, These
related to General information · 4
Fixed-point combinator → Because, FIRST, FOLLOW, Formally
related to Implementation in other languages · 4
Fixed-point combinator → It, Its, Simple, The
related to Other fixed-point combinators · 4
Fixed-point combinator → In, Mayer Goldberg, SKI-calculus, The
related to Recursive definitions and fixed-point combinators · 4
Fixed-point combinator → Fixed-point, Furthermore, However, Strongly
related to Fixed-point combinator · 3
Fixed-point combinator → Fixed-point, General, The

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combinator fixed-point lambda function calculus displaystyle combinators recursive may fixed languages programming one definition type recursion argument used functions implementation

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SubjectPredicateObjectConfidenceSrc
Fixed-point combinatoris aTuring fixed-point combinator0.90text
the simply typed lambda calculus disallow non-terminationinstance ofStrongly normalizing type systems0.80text
hence fixed-point combinators often cannot be assigned a type or require complex type system featuresinstance ofStrongly normalizing type systems0.80text
Fixed-point combinatorrelated to Fixed-point combinatorThe0.60section
Fixed-point combinatorrelated to Fixed-point combinatorFixed-point0.60section
Fixed-point combinatorrelated to Fixed-point combinatorGeneral0.60section
Fixed-point combinatorrelated to Function versus implementationThe0.60section
Fixed-point combinatorrelated to Function versus implementationGeneral0.60section
Fixed-point combinatorrelated to Function versus implementationThat0.60section
Fixed-point combinatorrelated to Function versus implementationLambda0.60section
Fixed-point combinatorrelated to Function versus implementationIn0.60section
Fixed-point combinatorrelated to General informationBecause0.60section

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