The Sheffer functions of 3-valued logic

Publisher: Cambridge University Press

E-ISSN: 1943-5886|19|1|45-51

ISSN: 0022-4812

Source: The Journal of Symbolic Logic, Vol.19, Iss.1, 1954-03, pp. : 45-51

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Abstract

In previous papers, Post, Webb, Götlind and the present author have described some Sheffer functions (in Swift's terminology, “independent binary generators”) in m-valued logic. Professor J. Dean Swift has recently isolated the symmetric Sheffer functions of 3-valued logic. In the present paper, we will prove some properties of Sheffer functions in m-valued logic and isolate all of the Sheffer functions of 3-valued logic.