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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 2, Pages 27–31
(Mi vmumm219)
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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
A family of classes of functions closed with respect to a strengthened superposition operation
D. K. Podol'ko Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The paper concerns the operation of binary superposition determined for the $k$-valued logic functions ($k=2^m,~m\geq 2$) on the basis of their representation in the binary number system. A description of the set of classes containing only functions taking not more than two values and closed under the operations of binary superposition and addition of fictitious variables is given.
Key words:
multivalued logic functions, superposition, closed classes.
Received: 06.12.2013
Citation:
D. K. Podol'ko, “A family of classes of functions closed with respect to a strengthened superposition operation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2, 27–31; Moscow University Mathematics Bulletin, 70:2 (2015), 79–83
Linking options:
https://www.mathnet.ru/eng/vmumm219 https://www.mathnet.ru/eng/vmumm/y2015/i2/p27
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Abstract page: | 80 | Full-text PDF : | 22 | References: | 14 |
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