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Applicative computing systems
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Applicative computing systems : ウィキペディア英語版
Applicative computing systems
Applicative computing systems, or ACS are the systems of object calculi founded on combinatory logic and lambda calculus.〔Wolfengagen V.E. ''Methods and means for computations with objects. Applicative Computational Systems.'' — M.: JurInfoR Ltd., «Center JurInfoR», 2004. — xvi+789 pp. ISBN 5-89158-100-0.〕
The only essential notion which is under consideration in these systems is the representation of object. In combinatory logic the only metaoperator is application in a sense of applying one object to other. In lambda calculus two metaoperators are used: application – the same as in combinatory logic, and functional abstraction which binds the only variable in one object.
== Features of ACS ==

The objects generated in these systems are the functional entities with the following features:
# the number of argument places, or object arity is not fixed but is enabling step by step in interoperations with other objects;
# in a process of generating the compound object one of its counterparts—function, -- is applied to other one—argument, -- but in other contexts they can change their roles, i.e. functions and arguments are considered on the equal rights;
# the self-applying of functions is allowed, i.e. any object can be applied to itself.
ACS give a sound ground for applicative approach to programming.

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