Abstract
A word is called a reset word for a deterministic finite automaton if it maps all states of the automaton to one state. Deciding about the existence of a reset word of given length for a given automaton is known to be a NP-complete problem. We prove that it remains NP-complete even if restricted on Eulerian automata over the binary alphabet, as it has been conjectured by Martyugin (2011).
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Vorel, V. (2014). Complexity of a Problem Concerning Reset Words for Eulerian Binary Automata. In: Dediu, AH., Martín-Vide, C., Sierra-Rodríguez, JL., Truthe, B. (eds) Language and Automata Theory and Applications. LATA 2014. Lecture Notes in Computer Science, vol 8370. Springer, Cham. https://doi.org/10.1007/978-3-319-04921-2_47
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DOI: https://doi.org/10.1007/978-3-319-04921-2_47
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