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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 365–374
DOI: https://doi.org/10.17377/smzh.2017.58.210
(Mi smj2865)
 

This article is cited in 1 scientific paper (total in 1 paper)

On some reducibility and existential interpretability of structures

A. S. Morozovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (298 kB) Citations (1)
References:
Abstract: We prove the embeddability of the structure of Turing degrees into the structure of degrees of existential interpretability. The notion of weakly bounded Turing reducibility ($\operatorname{wbT}$-reducibility) arises in the proof naturally. We demonstrate that this reducibility is situated strictly between the bounded truth-table reducibility and Turing reducibility and differs from the truth-table reducibility.
Keywords: existential interpretability of structures, weakly bounded Turing reducibility.
Funding agency
The author was supported by the project “Algorithmic and Model-Theoretic Properties of Algebraic Systems” of the Republic of Kazakhstan.
Received: 05.05.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 281–287
DOI: https://doi.org/10.1134/S0037446617020100
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: A. S. Morozov, “On some reducibility and existential interpretability of structures”, Sibirsk. Mat. Zh., 58:2 (2017), 365–374; Siberian Math. J., 58:2 (2017), 281–287
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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