Geodesic
On the distinguishability of states of automata
Diskretnaya Matematika, Tome 15 (2003) no. 3, pp. 76-90.

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We investigate variants of the notion of distinguishability of automata. The distinguishability in the sense of a given metric on the set of output symbols, the $k$-distinguishability and the $\infty$-distinguishability are considered. For each variant the exact value of the corresponding Shannon function is obtained. We find the minimum value of the parameter $k$ for which the $k$-distinguishability implies the $\infty$-distinguishability. The research was supported by the Russian Foundation for Basic Research, grant 02–01–00162. 
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P. A. Panteleev. On the distinguishability of states of automata. Diskretnaya Matematika, Tome 15 (2003) no. 3, pp. 76-90. http://geodesic.mathdoc.fr/item/DM_2003_15_3_a4/

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