meaning of bracket abstraction

1. bracket abstraction An algorithm which turns a term into a function of some variable. The result of using bracket abstraction on T with respect to variable v, written as [v]T, is a term containing no occurrences of v and denoting a function f such that f v = T. This defines the function f = v . T. Using bracket abstraction and currying we can define a language without bound variables in which the only operation is monadic function application. See combinator.


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