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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 700–714
DOI: https://doi.org/10.33048/semi.2020.17.048 (Mi semr1243) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Mathematical logic, algebra and number theory

Definable families of theories, related calculi and ranks

N. D. Markhabatova, S. V. Sudoplatovbca

a Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
b Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia
c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
Full-text PDF (185 kB) Citations (9)
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DOI: https://doi.org/10.33048/semi.2020.17.048
Abstract: We consider sentence-definable and diagram-definable subfamilies of given families of theories, calculi for these subfamilies, as well dynamics and characteristics of these subfamilies with respect to rank and degree.
Keywords: family of theories, definable subfamily, calculus, rank, degree.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132349
AP05132546
Siberian Branch of Russian Academy of Sciences I.1.1, project No. 0314-2019-0002
This research was partially supported by Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grants No. AP05132349, AP05132546) and the program of fundamental scientific researches of the SB RAS No. I.1.1, project No. 0314-2019-0002.
Received April 20, 2020, published May 22, 2020
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C30, 03C15, 03C50, 03F03, 54A05
Language: English
Citation: N. D. Markhabatov, S. V. Sudoplatov, “Definable families of theories, related calculi and ranks”, Sib. Èlektron. Mat. Izv., 17 (2020), 700–714
Citation in format AMSBIB
\Bibitem{MarSud20}
\by N.~D.~Markhabatov, S.~V.~Sudoplatov
\paper Definable families of theories, related calculi and ranks
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 700--714
\mathnet{http://mi.mathnet.ru/semr1243}
\crossref{https://doi.org/10.33048/semi.2020.17.048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000537773100001}
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