ON ONE CONTINUAL SET OF beta-CLOSED CLASSES OF THE MULTIVALUED LOGIC FUNCTIONS

被引：0

作者：

Podolko, D. K. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

PRIKLADNAYA DISKRETNAYA MATEMATIKA | 2014年 / 24卷 / 02期

关键词：

multivalued logic functions; superposition; closed classes; beta-closure;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies beta-closed classes of the multivalued logic functions, where the beta-closure operator is defined on the basis of the functions encoding in the binary number system. A continual set of beta-closed classes, which contain only functions taking no more than three values, is given and some of its properties are proved.

引用

页码：12 / +

页数：10

共 22 条

[1] Cardinality of the Set of Delta-Closed Classes of Functions of Multi-Valued Logic
Starodubtsev, D. E.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2018, 73 (05) : 190 - 195
[2] Continuality of classes of functions in multivalued logic with minimal logarithmic growth rate
Komkov, Stepan A.
DISCRETE MATHEMATICS AND APPLICATIONS, 2022, 32 (02): : 97 - 103
[3] SIMPLE BASES IN CLOSED CLASSES OF FUNCTIONS OF LOGIC ALGEBRA
SHESTOPA.GA
DOKLADY AKADEMII NAUK SSSR, 1966, 168 (05): : 1023 - &
[4] On the action of the implicative closure operator on the set of partial functions of the multivalued logic
Marchenkov, Sergey S.
DISCRETE MATHEMATICS AND APPLICATIONS, 2021, 31 (03): : 155 - 164
[5] Positively closed classes of three-valued logic generated by one-place functions
Marchenkov, S. S.
DISCRETE MATHEMATICS AND APPLICATIONS, 2009, 19 (04): : 375 - 382
[6] Equational Closure and Closure with Respect to Enumeration on a Set of Partial Multivalued Logic Functions
S. S. Marchenkov
V. A. Prostov
Moscow University Computational Mathematics and Cybernetics, 2019, 43 (3) : 118 - 125
[7] Closed Classes Generated by Symmetric Functions in the Three-Valued Logic
Mikhailovich, A. V.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2008, 63 (04) : 168 - 170
[8] The maximal closed classes of unary functions in p-valued logic
Liu, RR
Lo, CK
MATHEMATICAL LOGIC QUARTERLY, 1996, 42 (02) : 234 - 240
[9] CLOSED CLASSES OF THREE-VALUED LOGIC FUNCTIONS GENERATED BY SYMMETRIC FUNCTIONS WITH A BOUNDED NUMBER OF LAYERS
Mikhailovich, A. V.
PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2015, 27 (01): : 17 - 26
[10] Countability of the set of closed overclasses of some minimal classes in the partly ordered set ℒ2 3 of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic
Makarov A.V.
Makarov V.V.
Moscow University Mathematics Bulletin, 2017, 72 (1) : 35 - 36

← 1 2 3 →