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Diskretnaya Matematika, 2009, Volume 21, Issue 2, Pages 88–93
DOI: https://doi.org/10.4213/dm1048 (Mi dm1048) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On repetition-free Boolean functions over pre-elementary monotone bases

I. K. Sharankhaev
Full-text PDF (100 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1048
Abstract: We investigate representations of Boolean functions by formulas. In terms of the residual functions, we describe Boolean functions realised by repetition-free formulas in pre-elementary bases $\{\vee,\cdot,-,0,1,x_1(x_2\vee\ldots\vee x_n)\vee x_2\cdot\ldots\cdot x_n\}$ where $n\ge4$.
Received: 19.09.2006
Revised: 15.10.2007
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 3, Pages 277–282
DOI: https://doi.org/10.1515/DMA.2009.016
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: I. K. Sharankhaev, “On repetition-free Boolean functions over pre-elementary monotone bases”, Diskr. Mat., 21:2 (2009), 88–93; Discrete Math. Appl., 19:3 (2009), 277–282
Citation in format AMSBIB
\Bibitem{Sha09}
\by I.~K.~Sharankhaev
\paper On repetition-free Boolean functions over pre-elementary monotone bases
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 2
\pages 88--93
\mathnet{http://mi.mathnet.ru/dm1048}
\crossref{https://doi.org/10.4213/dm1048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2562229}
\elib{https://elibrary.ru/item.asp?id=20730288}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 3
\pages 277--282
\crossref{https://doi.org/10.1515/DMA.2009.016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67849118551}
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  • https://www.mathnet.ru/eng/dm/v21/i2/p88
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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