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The Černý conjecture for small automata: experimental report (1301.2092v1)
Published 10 Jan 2013 in cs.FL
Abstract: We present a report from a series of experiments involving computation of the shortest reset words for automata with small number of states. We confirm that the \v{C}ern\'{y} conjecture is true for all automata with at most 11 states on 2 letters. Also some new interesting results were obtained, including the third gap in the distribution of the shortest reset words and new slowly synchronizing classes of automata.