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Diskretnaya Matematika, 2018, Volume 30, Issue 4, Pages 106–114
DOI: https://doi.org/10.4213/dm1542
(Mi dm1542)
 

This article is cited in 3 scientific papers (total in 3 papers)

On some implicitly precomplete classes of monotone functions in $P_k$

M. V. Starostin

Lomonosov Moscow State University
Full-text PDF (173 kB) Citations (3)
References:
Abstract: The paper is concerned with the completeness problem in implicit expressibility in a multi-valued logics $P_k$. For each $k\geq 2$ and any nontrivial order relation on the set $\{0,1,\dots,k-1\}$ we find two implicitly precomplete classes of functions which are monotone with respect to this order
Keywords: many-valued logics, implicit expressibility, maximal classes, monotone function.
Received: 01.06.2018
English version:
Discrete Mathematics and Applications, 2020, Volume 30, Issue 1, Pages 45–51
DOI: https://doi.org/10.1515/dma-2020-0005
Bibliographic databases:
Document Type: Article
UDC: 519.716.32+510.644
Language: Russian
Citation: M. V. Starostin, “On some implicitly precomplete classes of monotone functions in $P_k$”, Diskr. Mat., 30:4 (2018), 106–114; Discrete Math. Appl., 30:1 (2020), 45–51
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/dm1542
  • https://doi.org/10.4213/dm1542
  • https://www.mathnet.ru/eng/dm/v30/i4/p106
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Abstract page:314
    Full-text PDF :62
    References:39
    First page:21
     
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