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Sbornik: Mathematics, 2008, Volume 199, Issue 10, Pages 1451–1458
DOI: https://doi.org/10.1070/SM2008v199n10ABEH003967 (Mi sm3925) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Almost computably enumerable families of sets

I. Sh. Kalimullin

Kazan State University, Faculty of Mechanics and Mathematics
English version PDF (244 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM2008v199n10ABEH003967
Abstract: An almost computably enumerable family that is not $\varnothing'$-computably enumerable is constructed. Moreover, it is established that for any computably enumerable (c.e.) set $A$ there exists a family that is $X$-c.e. if and only if the set $X$ is not $A$-computable.
Bibliography: 5 titles.
Received: 09.07.2007 and 03.04.2008
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 10, Pages 33–40
DOI: https://doi.org/10.4213/sm3925
Bibliographic databases:
UDC: 510.53+510.531+510.532
MSC: Primary 03D25; Secondary 03D45
Language: English
Original paper language: Russian
Citation: I. Sh. Kalimullin, “Almost computably enumerable families of sets”, Mat. Sb., 199:10 (2008), 33–40; Sb. Math., 199:10 (2008), 1451–1458
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:497
    Russian version PDF:211
    English version PDF:10
    References:50
    First page:12
     
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