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Completely reachable automata: an interplay between automata, graphs, and trees

Published 13 Jan 2022 in cs.FL | (2201.05075v1)

Abstract: A deterministic finite automaton 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 is called completely reachable. We characterize such automata in terms of graphs and trees.

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