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Algebra i logika, 2016, Volume 55, Number 4, Pages 465–477
DOI: https://doi.org/10.17377/alglog.2016.55.406 (Mi al753) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Index set of structures with two equivalence relations that are autostable relative to strong constructivizations

M. I. Marchukab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (174 kB) Citations (14)
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DOI: https://doi.org/10.17377/alglog.2016.55.406
Abstract: We derive a bound on the algorithmic complexity for the class of computable structures with two equivalence relations that have a strong constructivization and are autostable relative to strong constructivizations. We construct codings of a linear order and of an automorphically nontrivial directed irreflexive graph into a structure with two equivalence relations. It is proved that such codings preserve the degree spectrum and $d$-computable dimension.
Keywords: autostability relative to strong constructivizations, computable structure, hyperarithmetical hierarchy, index set, irreflexive directed graph, coding, linear order, strongly constructivizable structure, structure with two equivalence relations.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00376
Supported by RFBR, project No. 14-01-00376.
Received: 25.02.2016
Revised: 17.07.2016
English version:
Algebra and Logic, 2016, Volume 55, Issue 4, Pages 306–314
DOI: https://doi.org/10.1007/s10469-016-9400-y
Bibliographic databases:
Document Type: Article
UDC: 510.5+512.563
Language: Russian
Citation: M. I. Marchuk, “Index set of structures with two equivalence relations that are autostable relative to strong constructivizations”, Algebra Logika, 55:4 (2016), 465–477; Algebra and Logic, 55:4 (2016), 306–314
Citation in format AMSBIB
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\by M.~I.~Marchuk
\paper Index set of structures with two equivalence relations that are autostable relative to strong constructivizations
\jour Algebra Logika
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\vol 55
\issue 4
\pages 465--477
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\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 4
\pages 306--314
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    • This publication is cited in the following 14 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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