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Algebra i logika, 2002, Volume 41, Number 5, Pages 568–584 (Mi al197)  
This article is cited in 8 scientific papers (total in 8 papers)

Decidable Computable $\mathbb A$-Numberings

V. G. Puzarenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1666 kB) Citations (8)
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Abstract: The article deals in the numbering theory for admissible sets, brought in sight in [1]. For models of two special classes, we resolve the problem of there being 1-1 computable numberings of the families of all computable sets and of all computable functions. In proofs, for the former case the role of finite objects is played by syntactic constructions, and for the latter – by finite subsets on hereditarily finite superstructures.
Keywords: admissible set, numbering.
Received: 29.10.2000
Revised: 28.09.2001
English version:
Algebra and Logic, 2002, Volume 41, Issue 5, Pages 314–322
DOI: https://doi.org/10.1023/A:1020931804401
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: V. G. Puzarenko, “Decidable Computable $\mathbb A$-Numberings”, Algebra Logika, 41:5 (2002), 568–584; Algebra and Logic, 41:5 (2002), 314–322
Citation in format AMSBIB
\Bibitem{Puz02}
\by V.~G.~Puzarenko
\paper Decidable Computable $\mathbb A$-Numberings
\jour Algebra Logika
\yr 2002
\vol 41
\issue 5
\pages 568--584
\mathnet{http://mi.mathnet.ru/al197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1953180}
\zmath{https://zbmath.org/?q=an:1008.03028}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 5
\pages 314--322
\crossref{https://doi.org/10.1023/A:1020931804401}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-15044356067}
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    • This publication is cited in the following 8 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:316
    Full-text PDF :102
    References:31
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