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Algebra i logika, 2011, Volume 50, Number 3, Pages 399–414 (Mi al493)  
This article is cited in 2 scientific papers (total in 2 papers)

Turing jumps in the Ershov hierarchy

M. Kh. Faizrakhmanov

Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (198 kB) Citations (2)
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Abstract: We look at infinite levels of the Ershov hierarchy in the natural system of notation, which are proper for jumps of sets. It is proved that proper infinite levels for jumps are confined to $\Delta^{-1}_a$-levels, where $a$ stands for an ordinal $\omega^n>1$.
Keywords: Turing jumps, Ershov hierarchy, constructive ordinals, superlow sets.
Received: 21.06.2008
Revised: 16.03.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 3, Pages 279–289
DOI: https://doi.org/10.1007/s10469-011-9141-x
Bibliographic databases:
Document Type: Article
UDC: 510.53
Language: Russian
Citation: M. Kh. Faizrakhmanov, “Turing jumps in the Ershov hierarchy”, Algebra Logika, 50:3 (2011), 399–414; Algebra and Logic, 50:3 (2011), 279–289
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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    Full-text PDF :291
    References:60
    First page:14
     
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