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Lambda calculus - Wikipedia, the free encyclopedia
In mathematical logic and computer science, lambda calculus , also written as λ-calculus , is a formal system for function definition, function application and recursion. It was introduced by Alon...
en.wikipedia.org/wiki/Lambda_calculus |
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There is actually a whole mathematical theory devoted to expressing computation entirely using lambda abstractions: the lambda calculus. Most functional programming languages (including Haskell) are based upon some extension of this idea.
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3.1 Lambda Abstractions ... Nested lambda abstractions such as this may be written using the equivalent shorthand notation \x y -> x+y. In fact, the equations: inc x = x+1 add x y = x+y; are really shorthand for: inc = \x -> x+1 add = \x y -> x+y;
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C++ as a functional language ... This article is to exhibit lambda abstractions in C++ in comparison with those of traditional functional languages (e.g., Scheme). The article will try to demonstrate that "applicable values" in C++ not only look similar to their functional cousins.
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For what it’s worth, I think I’ve decided against relying on GCC’s trampolining to do higher-order functions and lambda abstractions in Ca. It is very clever and very efficient, but the semantics are a bit hairy for the 21st century.
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The Boost Lambda Library (BLL in the sequel) is a C++ template library, which implements a form of lambda abstractions for C++. The term originates from functional programming and lambda calculus, where a lambda abstraction defines an unnamed function.
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We show that using higher order functions and the lambda abstraction strategy .... because the relevant computations are suspended via lambda abstractions. ...
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functions can be defined anonymously via a lambda abstraction...
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Lambda Abstraction Introduction ... Semantics of Records and Lambda Abstractions ... Lambda Abstractions Alone...
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Records are values in own right: ... Lambda abstractions and records are full-fledged values. ... ; Go backward to Full Language (Contd); Go up to Top; Go forward to Semantics of Records and Lambda Abstractions;
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