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Algebra i logika, 2003, Volume 42, Number 5, Pages 566–593 (Mi al44)  
This article is cited in 23 scientific papers (total in 23 papers)

Uniformity in Computable Structure Theory

R. Downeya, D. Hirschfeldtb, B. Khoussainovc

a Victoria University of Wellington, School of Mathematics, Statistics and Computer Science
b University of Chicago
c University of Auckland
Full-text PDF (294 kB) Citations (23)
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Abstract: We investigate the effects of adding uniformity requirements to concepts in computable structure theory such as computable categoricity (of a structure) and intrinsic computability (of a relation on a computable structure). We consider and compare two different notions of uniformity, previously studied by Kudinov and by Ventsov. We discuss some of their results and establish new ones, while also exploring the connections with the relative computable structure theory of Ash, Knight, Manasse, and Slaman and Chisholm and with previous work of Ash, Knight, and Slaman on uniformity in a general computable structure-theoretical setting.
Keywords: computably categorical structure, intrinsically computable relation on a computable structure, relative computable structure, general computable structure.
Received: 10.11.2000
English version:
Algebra and Logic, 2003, Volume 42, Issue 5, Pages 318–332
DOI: https://doi.org/10.1023/A:1025971406116
Bibliographic databases:
UDC: 510.53
Language: Russian
Citation: R. Downey, D. Hirschfeldt, B. Khoussainov, “Uniformity in Computable Structure Theory”, Algebra Logika, 42:5 (2003), 566–593; Algebra and Logic, 42:5 (2003), 318–332
Citation in format AMSBIB
\Bibitem{DowHirKho03}
\by R.~Downey, D.~Hirschfeldt, B.~Khoussainov
\paper Uniformity in Computable Structure Theory
\jour Algebra Logika
\yr 2003
\vol 42
\issue 5
\pages 566--593
\mathnet{http://mi.mathnet.ru/al44}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2025716}
\zmath{https://zbmath.org/?q=an:1063.03018}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 5
\pages 318--332
\crossref{https://doi.org/10.1023/A:1025971406116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249094224}
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    • This publication is cited in the following 23 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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    References:64
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