On Universality of the S Combinator

10/24/2022

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by   Farrokh Vatan, et al.

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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?”