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In the paper, we deal with the notion of an automaton over a changingalphabet, which generalizes the concept of a Mealy-type automaton. We modifythe 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 adaptthem to automata over a changing alphabet. We show that this modificationprovides some naturally defined automaton representations of a free nonabeliangroup by a 2-state automaton over a changing alphabet.

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