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Algebra i logika, 2014, Volume 53, Number 5, Pages 555–569 (Mi al650)  

This article is cited in 24 scientific papers (total in 24 papers)

Generalized computable universal numberings

S. A. Badaeva, S. S. Goncharovbc

a Al-Farabi Kazakh National University, Al-Farabi ave. 71, Alma-Ata, 050038, Kazakhstan
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
c Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
References:
Abstract: We aim to consider the notion of a computable numbering as a uniform enumeration of sets of a family relative to an arbitrary oracle. The questions under investigation concern primarily universal computable numberings. A study of this kind of numberings is mostly motivated by their nature since any universal numbering of a family contains information on all its computable numberings.
Keywords: computability, oracle, universal computable numbering.
Received: 26.02.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 5, Pages 355–364
DOI: https://doi.org/10.1007/s10469-014-9296-3
Bibliographic databases:
Document Type: Article
UDC: 510.54+510.57
Language: Russian
Citation: S. A. Badaev, S. S. Goncharov, “Generalized computable universal numberings”, Algebra Logika, 53:5 (2014), 555–569; Algebra and Logic, 53:5 (2014), 355–364
Citation in format AMSBIB
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\paper Generalized computable universal numberings
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\pages 555--569
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\pages 355--364
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  • https://www.mathnet.ru/eng/al/v53/i5/p555
  • This publication is cited in the following 24 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:426
    Full-text PDF :146
    References:56
    First page:13
     
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