The interval rank of monotonic automata

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Abstract

We solve the 'order preserving' version of the generalized Černý problem (also known as the rank problem). Namely, for all n and k such that 2 ≤ k ≤ n, we determine the least number ℓ(n,k) such that for each monotonic automaton with n states and interval rank k there exists a word of length ℓ(n, k) that compresses the state set of the automaton to an interval of length k. © Springer-Verlag Berlin Heidelberg 2006.

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Shcherbak, T. (2006). The interval rank of monotonic automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3845 LNCS, pp. 273–281). https://doi.org/10.1007/11605157_23

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