Investigations of Mealy automata growth at iterations

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...

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Datum:2018
1. Verfasser: Reznykov, Illya I.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Reznykov, Illya I.
author_facet Reznykov, Illya I.
author_sort Reznykov, Illya I.
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datestamp_date 2018-03-21T11:59:09Z
description 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.
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institution Algebra and Discrete Mathematics
language English
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spelling admjournalluguniveduua-article-8502018-03-21T11:59:09Z Investigations of Mealy automata growth at iterations Reznykov, Illya I. Mealy automaton, growth function, automaton transformation semigroup, mathematical modeling 20M35, 68Q70 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850 Algebra and Discrete Mathematics; Vol 6, No 2 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850/380 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
Reznykov, Illya I.
Investigations of Mealy automata growth at iterations
title Investigations of Mealy automata growth at iterations
title_full Investigations of Mealy automata growth at iterations
title_fullStr Investigations of Mealy automata growth at iterations
title_full_unstemmed Investigations of Mealy automata growth at iterations
title_short Investigations of Mealy automata growth at iterations
title_sort investigations of mealy automata growth at iterations
topic Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
topic_facet Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850
work_keys_str_mv AT reznykovillyai investigationsofmealyautomatagrowthatiterations