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- W1966244086 abstract "In many-valued logic the decision of functional completeness is a basic and important problem, and the thorough solution to this problem depends on determining all maximal closed sets in the set of many-valued logic functions. It includes three famous problems, i.e., to determine all maximal closed sets in the set of the total, of the partial and of the unary many-valued logic functions, respectively. The first two problems have been completely solved ([1], [2], [8]), and the solution to the third problem boils down to determining all maximal subgroups in the k-degree symmetric group Sk, which is an open problem in the finite group theory. In this paper, all maximal closed sets in the set of unary p-valued logic functions are determined, where p is a prime.Mathematics Subject Classification: 03B50, 20B35." @default.
- W1966244086 created "2016-06-24" @default.
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- W1966244086 date "1996-01-01" @default.
- W1966244086 modified "2023-09-24" @default.
- W1966244086 title "The Maximal Closed Classes of Unary Functions inp-Valued Logic" @default.
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- W1966244086 doi "https://doi.org/10.1002/malq.19960420120" @default.
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