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arXiv · 1607.07644

The concept of duality for automata over a changing alphabet and generation of a free group by such automata

Adam Woryna
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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) 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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Adam Woryna. 2016-07-26. The concept of duality for automata over a changing alphabet and generation of a free group by such automata. https://doi.org/10.1016/j.tcs.2011.08.017

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