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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 690–702
DOI: https://doi.org/10.17377/semi.2017.14.059 (Mi semr816) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

On functors enumerating structures

Dino Rossegger

Institute of Discrete Mathematics and Geometry, Technische Universität Wien, Wiedner Hauptstraße 8-10/104, 1040 Wien, Austria
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DOI: https://doi.org/10.17377/semi.2017.14.059
Abstract: We study a new notion of reduction between structures called enumerable functors related to the recently investigated notion of computable functors. Our main result shows that enumerable functors and effective interpretability with the equivalence relation computable are equivalent. We also obtain results on the relation between enumerable and computable functors.
Keywords: computable structure theory, enumerable functor, computable structures, enumeration reducibility.
Funding agency Grant number
Austrian Science Fund P 27527
The author was supported by the Austrian Science Fund FWF through project P 27527.
Received June 19, 2017, published July 26, 2017
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 03C57
Language: English
Citation: Dino Rossegger, “On functors enumerating structures”, Sib. Èlektron. Mat. Izv., 14 (2017), 690–702
Citation in format AMSBIB
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\by Dino~Rossegger
\paper On functors enumerating structures
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 690--702
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\crossref{https://doi.org/10.17377/semi.2017.14.059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200059}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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