Closed classed of three-valued logic that contain essentially multiplace functions

被引：0

作者：

Marchenkov, Sergey S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2015年 / 25卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

three-valued logic; closed classes; linear functions;

D O I：

10.1515/dma-2015-0022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

All 23 closed classes of three-valued logic that contain essentially multiplace linear functions are defined. It is shown that the order of every such class is not greater than 3.

引用

页码：233 / 240

页数：8

共 18 条

[1] Bagynszki J., 1982, BANACH CTR PUBLICATI, V7, P105
[2] POLYNOMIAL INTERPOLATION AND CHINESE REMAINDER THEOREM FOR ALGEBRAIC SYSTEMS
BAKER, KA
PIXLEY, AF
[J]. MATHEMATISCHE ZEITSCHRIFT, 1975, 143 (02) : 165 - 174
[3] Cs83] Csakany B, 1983, ACTA CYBERN, V6, P227
[4] Danil'chenko A. F., 1979, IZVESTIYA AN MSSR, V2, P13
[5] Danil'chenko A.F., 1977, ALGEBRA LOGIKA, V16, P266, DOI 10.1007/BF01669278
[6] DETERMINATION OF MAXIMAL-CLASS ORDER OF FUNCTIONS WITH K-VALENT LOGIC
LAU, D
[J]. ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1978, 24 (01): : 79 - 96
[7] Marchenko S. S., 1982, Problemy Kibernetiki, P85
[8] Orders of discriminator classes in multivalued logic
Marchenkov, S. S.
[J]. MATHEMATICAL NOTES, 2009, 86 (3-4) : 516 - 521
[9] Marchenkov S. S., 2001, S CLASSIFICATION FUN
[10] Marchenkov S.S., 2003, MATEMATICHESKIE VOPR, V12, P15

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