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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 1, Pages 68–73 (Mi ppi89)  
Automata Theory

To the Problem of Expressibility in the Algebra of Partial Boolean Functions

V. V. Tarasov

Ryazan State Radiotechnical Academy
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Abstract: The paper considers the problem of expressibility of total Boolean functions by superpositions over a system of partial Boolean functions. The problem is solved in terms of precomplete Boolean classes, i.e., extensions of Post classes in the algebra of partial Boolean functions.
Received: 01.10.2003
Revised: 15.06.2004
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 1, Pages 59–64
DOI: https://doi.org/10.1007/s11122-005-0010-x
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.713
Language: Russian
Citation: V. V. Tarasov, “To the Problem of Expressibility in the Algebra of Partial Boolean Functions”, Probl. Peredachi Inf., 41:1 (2005), 68–73; Problems Inform. Transmission, 41:1 (2005), 59–64
Citation in format AMSBIB
\Bibitem{Tar05}
\by V.~V.~Tarasov
\paper To~the Problem of Expressibility in the Algebra of Partial Boolean Functions
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 1
\pages 68--73
\mathnet{http://mi.mathnet.ru/ppi89}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2125925}
\zmath{https://zbmath.org/?q=an:1086.06013}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 1
\pages 59--64
\crossref{https://doi.org/10.1007/s11122-005-0010-x}
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    		Проблемы передачи информации Problems of Information Transmission
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