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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 2, Pages 3–6 (Mi vmumm50)

This article is cited in 1 paper

Mathematics

Classes of functions of multi-valued logic closed with respect to superposition and inversion operations

D. E. Starodubtsev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The closure under composition and inversion operations is considered on the set of functions of the $k$-valued logic. A full description of such closed classes is obtained.

Key words: $k$-valued logic, closed classes, closure operator, inversion operation, extension of composition operation.

UDC: 519.716.5

Received: 15.02.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:2, 45–48

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