Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/vngu375
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024