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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 274, Pages 119–129 (Mi tm3321)  
This article is cited in 32 scientific papers (total in 32 papers)

Degrees of autostability relative to strong constructivizations

S. S. Goncharovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (215 kB) Citations (32)
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Abstract: The spectra of the Turing degrees of autostability of computable models are studied. For almost prime decidable models, it is shown that the autostability spectrum relative to strong constructivizations of such models always contains a certain recursively enumerable Turing degree; moreover, it is shown that for any recursively enumerable Turing degree, there exist prime models in which this degree is the least one in the autostability spectrum relative to strong constructivizations.
Received in November 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 274, Pages 105–115
DOI: https://doi.org/10.1134/S0081543811060071
Bibliographic databases:
Document Type: Article
UDC: 510.55+510.532+510.67
Language: Russian
Citation: S. S. Goncharov, “Degrees of autostability relative to strong constructivizations”, Algorithmic aspects of algebra and logic, Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 274, MAIK Nauka/Interperiodica, Moscow, 2011, 119–129; Proc. Steklov Inst. Math., 274 (2011), 105–115
Citation in format AMSBIB
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\pages 119--129
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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