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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1019–1030 (Mi smj908)  

Index sets of classes of automatic structures

N. S. Vinokurov

Novosibirsk State University, Mechanics and Mathematics Department
References:
Abstract: We obtain exact estimates in the arithmetical and analytical hierarchies of index sets of various classes of automatic models. We also obtain estimates for the existence problems for computable isomorphism and embedding of automatic structures.
Keywords: automatic model, index set, computable isomorphism problem, uniformity, universality.
Received: 18.05.2005
Revised: 22.03.2006
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 5, Pages 835–843
DOI: https://doi.org/10.1007/s11202-006-0092-8
Bibliographic databases:
UDC: 510.51, 519.716.35
Language: Russian
Citation: N. S. Vinokurov, “Index sets of classes of automatic structures”, Sibirsk. Mat. Zh., 47:5 (2006), 1019–1030; Siberian Math. J., 47:5 (2006), 835–843
Citation in format AMSBIB
\Bibitem{Vin06}
\by N.~S.~Vinokurov
\paper Index sets of classes of automatic structures
\jour Sibirsk. Mat. Zh.
\yr 2006
\vol 47
\issue 5
\pages 1019--1030
\mathnet{http://mi.mathnet.ru/smj908}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2266512}
\zmath{https://zbmath.org/?q=an:1138.03033}
\transl
\jour Siberian Math. J.
\yr 2006
\vol 47
\issue 5
\pages 835--843
\crossref{https://doi.org/10.1007/s11202-006-0092-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749185457}
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    Сибирский математический журнал Siberian Mathematical Journal
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