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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 1, Pages 3–7 (Mi vmumm592)

This article is cited 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

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.

UDC: 519.716

Received: 20.06.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2019, 74:1, 1–4

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