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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2014 Volume 21, Issue 1, Pages 67–83 (Mi da761)

This article is cited in 10 papers

Positive closed classes in the three-valued logic

S. S. Marchenkov

Lomonosov Moscow State University, Leninskie gory, 119991 Moscow, Russia

Abstract: Theoretical premises are formulated and a way is determined to construct the positive classification of the $k$-valued logic functions set. All 194 positive closed classes in the three-valued logic are found. The description is given both by means of endomorphism semigroups and by means of finding the positive bases. Tab. 13, bibliogr. 30.

Keywords: positive closure operator, three-valued logic functions.

UDC: 519.716

Received: 25.03.2013


 English version:
Journal of Applied and Industrial Mathematics, 2014, 8:2, 256–266

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© Steklov Math. Inst. of RAS, 2026