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## combinator |

1 definition found From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: combinator A function with no {free variable}s. 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 {Combinatory logic} is equivalent to the {lambda-calculus} but a lambda expression of size O(n) is equivalent to a combinatorial expression of size O(n^2). 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}, {supercombinator}s. (1994-12-06)