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Etymologie

Was (wer) ist combinator - definition

LOGICAL FORMALISM USING COMBINATORS INSTEAD OF VARIABLES

Combinator; Combinatorial logic (mathematics); Combinatory Logic; Abstraction elimination; K combinator; S combinator; Combinators; Combinatory algebra; S-combinator; Lambda elimination; Combinator calculus

combinator

<theory> A function with no free variables. A term is either a constant, a variable or of the form A B denoting the application of term A (a function of one argument) to term B. Juxtaposition associates to the left in the absence of parentheses. All combinators can be defined from two basic combinators - S and K. These two and a third, I, are defined thus: S f g x = f x (g x) K x y = x I x = x = S K K x There is a simple translation between combinatory logic and lambda-calculus. The size of equivalent expressions in the two languages are of the same order. Other combinators were added by David Turner in 1979 when he used combinators to implement SASL: B f g x = f (g x) C f g x = f x g S' c f g x = c (f x) (g x) B* c f g x = c (f (g x)) C' c f g x = c (f x) g See fixed point combinator, curried function, supercombinators. (2002-11-03)

Parser combinator

Parser combinators; Combinatory parsing; Parser Combinator; Combinator parser; Parser Combinators

In computer programming, a parser combinator is a higher-order function that accepts several parsers as input and returns a new parser as its output. In this context, a parser is a function accepting strings as input and returning some structure as output, typically a parse tree or a set of indices representing locations in the string where parsing stopped successfully.

https://en.wikipedia.org/wiki/Parser_combinator

Combinator library

Combinator libraries

A combinator library is a software library which implements combinators for a functional programming language; "the key idea is this: a combinator library offers functions (the combinators) that combine functions together to make bigger functions".pg 35 of "History of Haskell" These kinds of libraries are particularly useful for allowing domain-specific programming languages to be easily embedded into a general purpose language by defining a few primitive functions for the given domain and turning over the task of expanding higher-level constructs to the general language.

https://en.wikipedia.org/wiki/Combinator_library

Wikipedia

Combinatory logic

Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic. It was introduced by Moses Schönfinkel and Haskell Curry, and has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages. It is based on combinators, which were introduced by Schönfinkel in 1920 with the idea of providing an analogous way to build up functions—and to remove any mention of variables—particularly in predicate logic. A combinator is a higher-order function that uses only function application and earlier defined combinators to define a result from its arguments.

https://en.wikipedia.org/wiki/Combinatory logic