Geodesic
Indistinguishability of finite automata in a~stationary observation environment
Diskretnaya Matematika, Tome 5 (1993) no. 4, pp. 43-53.

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We find criteria for the finiteness of classes of automata that are indistinguishable by simple experiments of unlimited and fixed length under the condition that, instead of an input-output sequence generated by an automaton, the experimenter observes the result of its coding by some discrete function (the observation environment). Under these same observation conditions we obtain a criterion for the chain condition of classes of automata that are indistinguishable by experiments of fixed length, with an increase in the length of the experiment. 
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     author = {I. S. Grunskii and O. M. Kopytova},
     title = {Indistinguishability of finite automata in a~stationary observation environment},
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I. S. Grunskii; O. M. Kopytova. Indistinguishability of finite automata in a~stationary observation environment. Diskretnaya Matematika, Tome 5 (1993) no. 4, pp. 43-53. http://geodesic.mathdoc.fr/item/DM_1993_5_4_a3/