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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 299–307 (Mi smj1841)  
This article is cited in 5 scientific papers (total in 5 papers)

$e$-principal numberings

A. N. Degtev, M. L. Platonov

Tyumen State University
Full-text PDF (323 kB) Citations (5)
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Abstract: We prove the existence of the computable families of finite sets and general recursive functions with no $e$-principal numbering. We give a series of examples of $e$-degrees such that the $p$-degrees of their computable numberings include no top $p$-degree.
Keywords: partial recursive function, recursively enumerable set, computable numbering, $e$-reducibility, $p$-reducibility.
Received: 07.04.2003
Revised: 09.08.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 2, Pages 239–245
DOI: https://doi.org/10.1007/s11202-008-0024-x
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: A. N. Degtev, M. L. Platonov, “$e$-principal numberings”, Sibirsk. Mat. Zh., 49:2 (2008), 299–307; Siberian Math. J., 49:2 (2008), 239–245
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v49/i2/p299
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:267
    Full-text PDF :124
    References:30
    First page:1
     
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