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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 1, Pages 62–64
(Mi vmumm47)
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This article is cited in 2 scientific papers (total in 2 papers)
Short notes
Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic
A. V. Makarova, V. V. Makarovb a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Institute of Radio-Engineering, Electronics and Automation
Abstract:
The following theorem is proved: the set of closed classes containing some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of closed classes in the three-valued logic that may be mapped homomorphically onto the two-valued logic is countable.
Key words:
three-valued logic, closed class, partially ordered set, homomorphism, minimal class.
Received: 16.03.2016
Citation:
A. V. Makarov, V. V. Makarov, “Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 1, 62–64; Moscow University Mathematics Bulletin, 72:1 (2017), 35–36
Linking options:
https://www.mathnet.ru/eng/vmumm47 https://www.mathnet.ru/eng/vmumm/y2017/i1/p62
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Abstract page: | 136 | Full-text PDF : | 23 | References: | 15 | First page: | 1 |
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