NDLI: A criterion for positive completeness in ternary logic

Content Provider	Springer Nature Link
Author	Marchenkov, S. S.
Copyright Year	2007
Abstract	The operator of positive closure is considered on the set P $_{k}$ of functions of k-valued logic. Some positive complete systems of functions are defined. It is proved that every positive complete class of functions from P $_{k}$ is positive generated by the set of all functions depending on at most k variables. For each k ⩾ 3, the three families of positive precomplete classes are defined. It is shown that, for k = 3, the 10 classes of these families constitute a criterion system.
Starting Page	481
Ending Page	488
Page Count	8
File Format	PDF
ISSN	19904789
Journal	Journal of Applied and Industrial Mathematics
Volume Number	1
Issue Number	4
e-ISSN	19904797
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2007-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Industrial and Manufacturing Engineering

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A criterion for positive completeness in ternary logic