I. B. Kozhukhov, A. V. Mikhalev, “On algebraic automata theory”, Intelligent systems. Theory and applications, 2021, Volume 25, Issue 4,Pages <nobr>45

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Part 1. Plenary reports

On algebraic automata theory

I. B. Kozhukhov^ab, A. V. Mikhalev^b

^a NRU MIET
^b Lomonosov Moscow State University

Abstract: The paper briefly describes the main ideas of the algebraic theory of automata and its connection with the algebraic theory of semigroups. An automaton is considered as a polygon over a semigroup. The main directions to develop polygon theory are indicated.

Keywords: automaton, semigroup, polygon over a semigroup, algebraic theory of automata.