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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 90–93 (Mi ivm7870)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Automaton transformations and monadic theories of infinite sequences

N. N. Korneeva

Department of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (144 kB) Citations (2)
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Abstract: In this paper we prove that the set of degrees of asynchronous automaton transformations of infinite sequences with a solvable monadic theory is an initial segment in the set of degrees of asynchronous automaton transformations. We prove a solvability criterion for a monadic theory of a complete sequence.
Keywords: automaton transformations, monadic theories of infinite sequences, complete sequences.
Presented by the member of Editorial Board: M. M. Arslanov
Received: 27.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 8, Pages 78–80
DOI: https://doi.org/10.3103/S1066369X11080123
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: N. N. Korneeva, “Automaton transformations and monadic theories of infinite sequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 90–93; Russian Math. (Iz. VUZ), 55:8 (2011), 78–80
Citation in format AMSBIB
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\by N.~N.~Korneeva
\paper Automaton transformations and monadic theories of infinite sequences
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 8
\pages 90--93
\mathnet{http://mi.mathnet.ru/ivm7870}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919352}
\elib{https://elibrary.ru/item.asp?id=16379925}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 8
\pages 78--80
\crossref{https://doi.org/10.3103/S1066369X11080123}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051705537}
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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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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