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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 4, Pages 719–735
DOI: https://doi.org/10.17377/smzh.2018.59.401 (Mi smj3006) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Degrees of autostability relative to strong constructivizations of graphs

N. A. Bazhenovab, M. I. Marchukab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (367 kB) Citations (7)
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DOI: https://doi.org/10.17377/smzh.2018.59.401
Abstract: We show that each computably enumerable Turing degree is a degree of autostability relative to strong constructivizations for a decidable directed graph. We construct a decidable undirected graph whose autostability spectrum relative to strong constructivizations is equal to the set of all $PA$-degrees.
Keywords: computable model, strongly constructivizable model, autostability, autostability relative to strong constructivizations, degree of autostability relative to strong constructivizations, autostability spectrum relative to strong constructivizations, $PA$-degree, computably enumerable degree, graph.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60058 мол_а_дк
17-01-00247
N. A. Bazhenov was supported by the Russian Foundation for Basic Research (Grant 16-31-60058-mol_a_dk).
M. I. Marchuk was supported by the Russian Foundation for Basic Research (Grant 17-01-00247).
Received: 01.11.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 4, Pages 565–577
DOI: https://doi.org/10.1134/S0037446618040018
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: N. A. Bazhenov, M. I. Marchuk, “Degrees of autostability relative to strong constructivizations of graphs”, Sibirsk. Mat. Zh., 59:4 (2018), 719–735; Siberian Math. J., 59:4 (2018), 565–577
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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