Geodesic
Solving some problems of automata behaviour analysis
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 121-133

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In the context of the geometrical approach and by means of geometrical methods automaton behaviour is studied as curves on the plane. The attention is called to a new way of setting the finite-state machines as a functional curve on the plane. Also within the limits of the geometrical approach problems of automaton analysis, synthesis, diagnosis and transformation have been also investigated. 
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L. B. Tyapaev. Solving some problems of automata behaviour analysis. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 121-133. http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a13/