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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2011 Volume 18, Issue 4, Pages 66–76 (Mi da660)

This article is cited in 6 papers

On classificatons of many-valued logic functions by means of automorphism groups

S. S. Marchenkov

Lomonosov Moscow State University, Moscow, Russia

Abstract: Three operators of FE-, FEC-, and QFEC-closures are defined in many-valued logic on the base of FE-language of functional equations. It is proved that all three operators generate the same classifications on the set of $k$-valued logic functions. It coincides with a classification based on automorphism groups. Bibliogr. 9.

Keywords: many-valued logic function, automorphism group.

UDC: 519.716

Received: 18.01.2011



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