Geodesic
On sequences of Mealy automata and their limits
Algebra and discrete mathematics, no. 4 (2006), pp. 93-111

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We introduce the notions of $n$-state Mealy automaton sequence and limit of this sequence. These notions are illustrated by the 2-state Mealy automaton sequences that have the set of finite limit automata.
Keywords: Mealy automaton, growth function, automaton sequence. 
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     author = {Illya I. Reznykov},
     title = {On sequences of {Mealy} automata and their limits},
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     year = {2006},
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Illya I. Reznykov. On sequences of Mealy automata and their limits. Algebra and discrete mathematics, no. 4 (2006), pp. 93-111. http://geodesic.mathdoc.fr/item/ADM_2006_4_a6/