Binary Completely Reachable Automata

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Abstract

We characterize complete deterministic finite automata with two input letters in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word. The characterization leads to a polynomial-time algorithm for recognizing this class of automata.

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Casas, D., & Volkov, M. V. (2022). Binary Completely Reachable Automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 13568 LNCS, pp. 345–358). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-20624-5_21

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