Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 3, Pages 51–60
DOI: https://doi.org/10.17377/PAM.2015.15.304 (Mi vngu375) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The index set of linear orderings that are autostable relative to strong constructivizations

S. S. Goncharovab, N. A. Bazhenovba, M. I. Marchukb

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (248 kB) Citations (5)
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DOI: https://doi.org/10.17377/PAM.2015.15.304
Abstract: We prove that a computable ordinal $\alpha$ is autostable relative to strong constructivizations if and only if $\alpha<\omega^{\omega+1}$. We calculate, in a precise way, the complexity of the index set for linear orderings that are autostable relative to strong constructivizations.
Keywords: computable model, strongly constructivizable model, autostability, autostability relative to strong constructivizations, linear ordering, computable ordinal, index set.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-91001-АНФ-а
14-01-00376
Ministry of Education and Science of the Russian Federation НШ-860.2014.1
Received: 06.04.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 840–848
DOI: https://doi.org/10.1007/s10958-017-3272-0
Document Type: Article
UDC: 510.5+510.6
Language: Russian
Citation: S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of linear orderings that are autostable relative to strong constructivizations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015), 51–60; J. Math. Sci., 221:6 (2017), 840–848
Citation in format AMSBIB
\Bibitem{GonBazMar15}
\by S.~S.~Goncharov, N.~A.~Bazhenov, M.~I.~Marchuk
\paper The index set of linear orderings that are autostable relative to strong constructivizations
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 3
\pages 51--60
\mathnet{http://mi.mathnet.ru/vngu375}
\crossref{https://doi.org/10.17377/PAM.2015.15.304}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 840--848
\crossref{https://doi.org/10.1007/s10958-017-3272-0}
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  • https://www.mathnet.ru/eng/vngu/v15/i3/p51
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Full-text PDF :60
    References:56
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