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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 71–78 (Mi smj958)  
This article is cited in 2 scientific papers (total in 2 papers)

Complexity of some natural problems in automatic structures

N. S. Vinokurov

Novosibirsk State University, Mechanics and Mathematics Department
Full-text PDF (203 kB) Citations (2)
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Abstract: We prove that the automatic isomorphism problem for automatic structures, the automatic automorphism problem for an automatic structure, and the automatic embedding problem for automatic structures are $\Sigma_1^0$-complete. We also prove that the embedding problem for automatic structures is $\Sigma_1^1$-complete.
Keywords: finite automaton, automatic structures, isomorphism problem.
Received: 26.11.2003
Revised: 01.12.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 56–61
DOI: https://doi.org/10.1007/s11202-005-0005-2
Bibliographic databases:
UDC: 510.51, 519.716.35
Language: Russian
Citation: N. S. Vinokurov, “Complexity of some natural problems in automatic structures”, Sibirsk. Mat. Zh., 46:1 (2005), 71–78; Siberian Math. J., 46:1 (2005), 56–61
Citation in format AMSBIB
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\by N.~S.~Vinokurov
\paper Complexity of some natural problems in automatic structures
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 1
\pages 71--78
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141302}
\zmath{https://zbmath.org/?q=an:1096.03044}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 56--61
\crossref{https://doi.org/10.1007/s11202-005-0005-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227076100005}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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