Applicative computing systems

Applicative computing systems, or ACS are the systems of object calculi founded on combinatory logic and lambda calculus. 
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.
The objects generated in these systems are the functional entities with the following features:
ACS give a sound ground for applicative approach to programming.
Research challenge.
Applicative computing systems' lack of storage and history sensitivity is the basic reason they have not provided a foundation for computer design. Moreover, most applicative systems employ the substitution operation of the lambda calculus as their basic operation. This operation is one of virtually unlimited power, but its complete and efficient realization presents great difficulties to the machine designer.