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Algebra i logika, 2015, Volume 54, Number 4, Pages 444–462
DOI: https://doi.org/10.17377/alglog.2015.54.403
(Mi al704)
 

This article is cited in 11 scientific papers (total in 11 papers)

Friedberg numberings in the Ershov hierarchy

S. S. Ospichevab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
References:
Abstract: A Friedberg numbering of the family of all sets for any given level of the Ershov hierarchy is constructed, and we also consider different consequences of this result.
Keywords: computable numbering, Friedberg numbering, Ershov hierarchy.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00376
Ministry of Education and Science of the Russian Federation НШ-860.2014.1
Supported by RFBR (project No. 14-01-00376) and by the Grants Council (under RF President) for State Aid of Leading Scientific Schools, grant NSh-860.2014.1.
Received: 17.08.2012
Revised: 17.03.2015
English version:
Algebra and Logic, 2015, Volume 54, Issue 4, Pages 283–295
DOI: https://doi.org/10.1007/s10469-015-9349-2
Bibliographic databases:
Document Type: Article
UDC: 510.532+510.57
Language: Russian
Citation: S. S. Ospichev, “Friedberg numberings in the Ershov hierarchy”, Algebra Logika, 54:4 (2015), 444–462; Algebra and Logic, 54:4 (2015), 283–295
Citation in format AMSBIB
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\by S.~S.~Ospichev
\paper Friedberg numberings in the Ershov hierarchy
\jour Algebra Logika
\yr 2015
\vol 54
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\pages 444--462
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\crossref{https://doi.org/10.17377/alglog.2015.54.403}
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\transl
\jour Algebra and Logic
\yr 2015
\vol 54
\issue 4
\pages 283--295
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Linking options:
  • https://www.mathnet.ru/eng/al704
  • https://www.mathnet.ru/eng/al/v54/i4/p444
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:253
    Full-text PDF :75
    References:35
    First page:13
     
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