On Classes of Superfunctions on Two-Element Set

Superfunctions, i.e., sets of Boolean functions dependent on the same variables are considered. The closure operation is defined on the set of superfunctions. The issues of completeness and expressibility are studied for this functional system.

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Bibliographic Details
Published inMoscow University mathematics bulletin Vol. 76; no. 5; pp. 234 - 238
Main Author Maslova, I. I.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2021
Springer Nature B.V
Subjects
Analysis
Boolean algebra
Boolean functions
Dependent variables
Mathematical analysis
Mathematics
Mathematics and Statistics
Boolean functions
theory of functional systems
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Summary:Superfunctions, i.e., sets of Boolean functions dependent on the same variables are considered. The closure operation is defined on the set of superfunctions. The issues of completeness and expressibility are studied for this functional system.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132221050041