On Universality of the S Combinator

Farrokh Vatan

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arXiv · 2210.12893

On Universality of the S Combinator

Farrokh Vatan

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Abstract

In combinatory logic it is known that the set of two combinators K and S are universal; in the sense that any other combinator can be expressed in terms of these two. K combinator can not be expressed only in terms of the S combinator. This will answer a question raised by Stephen Wolfram as ``Is the S combinator on its own computation universal?''

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Farrokh Vatan. 2022-10-24. On Universality of the S Combinator. https://arxiv.org/abs/2210.12893

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