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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 450–474
DOI: https://doi.org/10.17377/semi.2018.15.040 (Mi semr931) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Mathematical logic, algebra and number theory

A completeness criterion for sets of multifunctions in full partial ultraclone of rank 2

S. A. Badmaev

Buryat State University, Smolin St., 24a, 670000, Ulan-Ude, Russia
Full-text PDF (230 kB) Citations (6)
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DOI: https://doi.org/10.17377/semi.2018.15.040
Abstract: The problem of completeness for some class of discrete functions is studied. Functions from this class map finite cartesian powers of a two-element set $E$ to the set of all subsets of $E$. Functions of this kind are called multifunctions of rank $2$. We proved a necessary and sufficient condition of completeness using some special notion of superposition for an arbitrary set of functions from a given class.
Keywords: function of many-valued logic, multifunction, partial ultraclone, criterion of completeness.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00020
Received March 18, 2018, published May 4, 2018
Bibliographic databases:
Document Type: Article
UDC: 519.716
MSC: 08A99
Language: Russian
Citation: S. A. Badmaev, “A completeness criterion for sets of multifunctions in full partial ultraclone of rank 2”, Sib. Èlektron. Mat. Izv., 15 (2018), 450–474
Citation in format AMSBIB
\Bibitem{Bad18}
\by S.~A.~Badmaev
\paper A completeness criterion for sets of multifunctions in full partial ultraclone of rank 2
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 450--474
\mathnet{http://mi.mathnet.ru/semr931}
\crossref{https://doi.org/10.17377/semi.2018.15.040}
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