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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 259–272
DOI: https://doi.org/10.33048/semi.2022.19.020 (Mi semr1497) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Special relations for formulae, their equivalence relations and theories

S. V. Sudoplatovab

a Novosibirsk State Technical University 20, K. Marx ave., Novosibirsk, 630073, Russia
b Sobolev Institute of Mathematics 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.020
Abstract: We study properties and characteristics for special relations of formulae in given languages producing equivalence relations both in general case and for elementary theories. Characteristics for chains of special relations and equivalence relations are described.
Keywords: formula, special relation, equivalence relation, theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
Ministry of Education and Science of the Republic of Kazakhstan AP08855497
Russian Science Foundation 22-21-00044
The work was carried out in the framework of the State Contract of the Sobolev Institute of Mathematics, Project No. FWNF-2022-0012, of the Committee of Science in Education and the Science Ministry of the Republic of Kazakhstan, Grant No. AP08855497 (Sections 2 and 3), and of Russian Scientific Foundation, Project No. 22-21-00044 (Sections 4 and 5).
Received January 27, 2022, published April 19, 2022
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C07, 03C10, 03C68
Language: English
Citation: S. V. Sudoplatov, “Special relations for formulae, their equivalence relations and theories”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 259–272
Citation in format AMSBIB
\Bibitem{Sud22}
\by S.~V.~Sudoplatov
\paper Special relations for formulae, their equivalence relations and theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 259--272
\mathnet{http://mi.mathnet.ru/semr1497}
\crossref{https://doi.org/10.33048/semi.2022.19.020}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4384325}
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