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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Date:2018
Main Author: Reznykov, Illya I.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-850
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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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-03-21T11:59:09Z
collection OJS
language English
topic Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
spellingShingle Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
Reznykov, Illya I.
Investigations of Mealy automata growth at iterations
topic_facet Mealy automaton
growth function
automaton transformation semigroup
mathematical modeling
20M35
68Q70
format Article
author Reznykov, Illya I.
author_facet Reznykov, Illya I.
author_sort Reznykov, Illya I.
title Investigations of Mealy automata growth at iterations
title_short 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_sort investigations of mealy automata growth at iterations
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/850
work_keys_str_mv AT reznykovillyai investigationsofmealyautomatagrowthatiterations
first_indexed 2025-12-02T15:32:58Z
last_indexed 2025-12-02T15:32:58Z
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