Geodesic
Automaton extensions of mappings on the set of words defined by finite Mealy automata
Algebra and discrete mathematics, no. 4 (2005), pp. 36-47.

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The properties of an automaton extensions of mappings on the set of words over a finite alphabet is discussed. We obtain the criterion whether the automaton extension of given mapping if defined by a finite automaton.
Keywords: automaton mapping, Mealy automato. 
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     author = {Miros{\l}aw Osys},
     title = {Automaton extensions of mappings on the set of words defined by finite {Mealy} automata},
     journal = {Algebra and discrete mathematics},
     pages = {36--47},
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     number = {4},
     year = {2005},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2005_4_a3/}
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Mirosław Osys. Automaton extensions of mappings on the set of words defined by finite Mealy automata. Algebra and discrete mathematics, no. 4 (2005), pp. 36-47. http://geodesic.mathdoc.fr/item/ADM_2005_4_a3/