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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 378–386
DOI: https://doi.org/10.33048/semi.2022.19.033 (Mi semr1509) 		 
Mathematical logic, algebra and number theory

On read-once Boolean functions in elementary base extended by median

I. K. Sharankhaev

Dorzhi Banzarov Buryat State University, 24a, Smolina str., Ulan-Ude, 670000, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.033
Abstract: Boolean functions that can be realized by read-once terms (formulas) in elementary base extended by median are studied. An algorithm for finding read-once representations of Boolean functions in this base is obtained.
Keywords: Boolean function, superposition, base, decomposition, read-once term.
Funding agency Grant number
Russian Science Foundation 22-21-20013
Received April 8, 2022, published July 6, 2022
Bibliographic databases:
Document Type: Article
UDC: 519.71
MSC: 08A99
Language: Russian
Citation: I. K. Sharankhaev, “On read-once Boolean functions in elementary base extended by median”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 378–386
Citation in format AMSBIB
\Bibitem{Sha22}
\by I.~K.~Sharankhaev
\paper On read-once Boolean functions in elementary base extended by median
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 378--386
\mathnet{http://mi.mathnet.ru/semr1509}
\crossref{https://doi.org/10.33048/semi.2022.19.033}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4449225}
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