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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 6, Pages 20–49 (Mi da628)  
This article is cited in 6 scientific papers (total in 6 papers)

Orbits of linear maps and regular languages properties

M. N. Vyalyi, S. P. Tarasov

Computational Center of RAS, Moscow, Russia
Full-text PDF (366 kB) Citations (6)
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Abstract: We establish equivalence of two recognition problems: hitting of a polyhedral set by an orbit of a linear map and nonemptiness of the intersection of a regular language and the language of binary words permutations (the permutation filter). Decidability is unknown for both problems. The hitting problem generalizes well-known Skolem and nonnegativity problems that are formulated in terms of linear recurrence sequences. Bibliogr. 14.
Keywords: linear recurrence sequence, linear map, orbit, regular language, algorithmic decidability.
Received: 11.05.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 448–465
DOI: https://doi.org/10.1134/S1990478911030173
Bibliographic databases:
Document Type: Article
UDC: 510.53
Language: Russian
Citation: M. N. Vyalyi, S. P. Tarasov, “Orbits of linear maps and regular languages properties”, Diskretn. Anal. Issled. Oper., 17:6 (2010), 20–49; J. Appl. Industr. Math., 5:3 (2011), 448–465
Citation in format AMSBIB
\Bibitem{VyaTar10}
\by M.~N.~Vyalyi, S.~P.~Tarasov
\paper Orbits of linear maps and regular languages properties
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 6
\pages 20--49
\mathnet{http://mi.mathnet.ru/da628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2797614}
\zmath{https://zbmath.org/?q=an:1249.68109}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 448--465
\crossref{https://doi.org/10.1134/S1990478911030173}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051971647}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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