Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 1, Pages 3–7 (Mi vmumm592)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Construction of an infinite set of classes of partial monotone functions of multi-valued logic

O. S. Dudakova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (246 kB) Citations (2) English version article
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Abstract: Partial functions of the $k$-valued logic monotone with respect to an arbitrary partly ordered set with the least and largest elements and distinct from a lattice are considered. It is shown that the set of closed classes of partial monotone functions containing a precomplete in $P_k$ class of everywhere determined monotone function is infinite.
Key words: functions of $k$-valued logic, partial functions, monotone clones.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00337
Received: 20.06.2018
English version:
Moscow University Mechanics Bulletin, 2019, Volume 74, Issue 1, Pages 1–4
DOI: https://doi.org/10.3103/S0027132219010017
Bibliographic databases:
Document Type: Article
UDC: 519.716
Language: Russian
Citation: O. S. Dudakova, “Construction of an infinite set of classes of partial monotone functions of multi-valued logic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1, 3–7; Moscow University Mechanics Bulletin, 74:1 (2019), 1–4
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :58
    References:57
    First page:16
     
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