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Diskr. Mat., 2018, Volume 30, Issue 4, Pages 106–114 (Mi dm1542)  

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

M. V. Starostin

Lomonosov Moscow State University

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 $\{0,1,…,k-1\}$ 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

DOI: https://doi.org/10.4213/dm1542

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English version:
Discrete Mathematics and Applications, 2020, 30:1, 45–51

Bibliographic databases:

UDC: 519.716.32+510.644
Received: 01.06.2018

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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\pages 106--114
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