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Algebra and Discrete Mathematics, 2007, Issue 2, Pages 130–157 (Mi adm213)  

RESEARCH ARTICLE

Investigations of Mealy automata growth at iterations

Illya I. Reznykov

IKC5 ltd. 5, Krasnogvardeyskaya st., of. 202660, Kyiv Ukraine
Abstract: The problem of the research of Mealy automata growth at iterations is considered in the paper. We describe the application of the mathematical modelling method to this problem, and consider properties of growth of Mealy automata. We show several equivalence relations and automaton sequences that are used in these investigations.
Keywords: Mealy automaton, growth function, automaton transformation semigroup, mathematical modeling.
Bibliographic databases:
Document Type: Article
MSC: 20M35, 68Q70
Language: English
Citation: Illya I. Reznykov, “Investigations of Mealy automata growth at iterations”, Algebra Discrete Math., 2007, no. 2, 130–157
Citation in format AMSBIB
\Bibitem{Rez07}
\by Illya~I.~Reznykov
\paper Investigations of Mealy automata growth at iterations
\jour Algebra Discrete Math.
\yr 2007
\issue 2
\pages 130--157
\mathnet{http://mi.mathnet.ru/adm213}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2364070}
\zmath{https://zbmath.org/?q=an:1164.68362}
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