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SKI Combinator Calculus


The SKI combinator calculus is a combinatory logic system and a computational system. It can be thought of as a computer programming language, though it is not convenient for writing software.

Informally, and using programming language jargon, a tree ( xy) can be thought of as a function x applied to an argument y. α will have to employ some kind of conditional to stop at some "base case" and not make the recursive call then, to avoid divergence. F= SKSK xy= K y(xy)= y Once true and false are defined, all Boolean logic can be implemented in terms of if-then-else structures.

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