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Diskretnaya Matematika, 2004, Volume 16, Issue 2, Pages 104–116
DOI: https://doi.org/10.4213/dm156 (Mi dm156) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the solution of automaton equations

I. V. Lyalin
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DOI: https://doi.org/10.4213/dm156
Abstract: We consider the problem of solving automata equations in one variable. We suggest an algorithm for determining whether a given equation has a solution. We introduce the notion of a boundedly non-determinate function. It is proved that if an automaton equation has a solution, then the set of all solutions of this equation is embedded into some boundedly non-determinate function which can be effectively constructed on the base of the initial equation.
Received: 10.11.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 3, Pages 287–300
DOI: https://doi.org/10.1515/1569392031905610
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: I. V. Lyalin, “On the solution of automaton equations”, Diskr. Mat., 16:2 (2004), 104–116; Discrete Math. Appl., 14:3 (2004), 287–300
Citation in format AMSBIB
\Bibitem{Lya04}
\by I.~V.~Lyalin
\paper On the solution of automaton equations
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 2
\pages 104--116
\mathnet{http://mi.mathnet.ru/dm156}
\crossref{https://doi.org/10.4213/dm156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084573}
\zmath{https://zbmath.org/?q=an:1121.68066}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 3
\pages 287--300
\crossref{https://doi.org/10.1515/1569392031905610}
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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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