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Algebra i logika, 2019, Volume 58, Number 4, Pages 528–541
DOI: https://doi.org/10.33048/alglog.2019.58.408 (Mi al914) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Khutoretskii's theorem for generalized computable families

M. Kh. Faizrakhmanov

Kazan (Volga Region) Federal University
Full-text PDF (241 kB) Citations (9)
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DOI: https://doi.org/10.33048/alglog.2019.58.408
Abstract: We give sufficient conditions for generalized computable numberings to satisfy the statement of Khutoretskii's theorem. This implies limitedness of universal $\Sigma^0_\alpha$-computable numberings for $2\leqslant\alpha< \omega^{CK}_1$.
Keywords: generalized computable family, generalized computable numbering, Khutoretskii's theorem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1515.2017/4.6
The work was carried out at the expense of the subsidy allocated to Kazan (Volga Region) Federal University for the fulfillment of the state task in the sphere of scientific activity, project No. 1.1515.2017/4.6.
Received: 20.04.2018
Revised: 08.11.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 4, Pages 356–365
DOI: https://doi.org/10.1007/s10469-019-09557-9
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: M. Kh. Faizrakhmanov, “Khutoretskii's theorem for generalized computable families”, Algebra Logika, 58:4 (2019), 528–541; Algebra and Logic, 58:4 (2019), 356–365
Citation in format AMSBIB
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\paper Khutoretskii's theorem for generalized computable families
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\pages 528--541
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\pages 356--365
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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    References:29
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