The concept of duality for automata over a changing alphabet and generation of a free group by such automata |
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Authors: | Adam Woryna |
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Affiliation: | Silesian University of Technology, Institute of Mathematics, ul. Kaszubska 23, 44-100 Gliwice, Poland |
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Abstract: | In the paper, we deal with the notion of an automaton over a changing alphabet, which generalizes the concept of a Mealy-type automaton. We modify the methods based on the idea of a dual automaton and its action used by B. Steinberg et al. (2011) and M. Vorobets and Ya. Vorobets (2007, 2010) [16], [17] and [18] and adapt them to automata over a changing alphabet. We show that this modification provides some naturally defined automaton representations of a free nonabelian group by a 2-state automaton over a changing alphabet. |
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Keywords: | Mealy automaton Group generated by an automaton Free group |
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