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The Maximal Closed Classes of Unary Functions in p-Valued Logic

✍ Scribed by Liu Renren; Lo Czukai

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
327 KB
Volume
42
Category
Article
ISSN
0044-3050

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✦ Synopsis

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 ([l], [2], [a]), and the solution to the third problem boils down to determining all maximd subgroups in the k-degree symmetric group s k , which is an open problem in the finite group theory. In this paper, all maximal closed sets in the set of unary pvalued logic functions are determined, where p i s a primc.

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