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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
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 |
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The author was supported by the project “Algorithmic and Model-Theoretic Properties of Algebraic Systems”
of the Republic of Kazakhstan. |
DOI:
https://doi.org/10.17377/smzh.2017.58.210
Full text:
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English version:
Siberian Mathematical Journal, 2017, 58:2, 281–287
Bibliographic databases:
UDC:
510.5
MSC: 35R30 Received: 05.05.2016
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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Linking options:
http://mi.mathnet.ru/eng/smj2865 http://mi.mathnet.ru/eng/smj/v58/i2/p365
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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A. S. Morozov, D. A. Tusupov, “Minimalnye predikaty otnositelno $\Delta$-opredelimosti”, Algebra i logika, 59:4 (2020), 480–499
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