Geodesic
Investigations of Mealy automata growth at iterations
Algebra and discrete mathematics, no. 2 (2007), pp. 130-157.

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The problem of the research of Mealy automata growth at iterations is considered in the paper. We describe the application of the mathematical modelling method to this problem, and consider properties of growth of Mealy automata. We show several equivalence relations and automaton sequences that are used in these investigations.
Keywords: Mealy automaton, growth function, automaton transformation semigroup, mathematical modeling. 
@article{ADM_2007_2_a12,
     author = {Illya I. Reznykov},
     title = {Investigations of {Mealy} automata growth at iterations},
     journal = {Algebra and discrete mathematics},
     pages = {130--157},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_2_a12/}
}
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Illya I. Reznykov. Investigations of Mealy automata growth at iterations. Algebra and discrete mathematics, no. 2 (2007), pp. 130-157. http://geodesic.mathdoc.fr/item/ADM_2007_2_a12/