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arXiv · 1607.04025

Experiments with Synchronizing Automata

Andrzej Kisielewicz·Jakub Kowalski·Marek Szykuła
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Abstract

We have improved an algorithm generating synchronizing automata with a large length of the shortest reset words. This has been done by refining some known results concerning bounds on the reset length. Our improvements make possible to consider a number of conjectures and open questions concerning synchronizing automata, checking them for automata with a small number of states and discussing the results. In particular, we have verified the \v{C}ern\'y conjecture for all binary automata with at most 12 states, and all ternary automata with at most 8 states.

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Andrzej Kisielewicz, Jakub Kowalski, Marek Szykuła. 2016-07-14. Experiments with Synchronizing Automata. https://doi.org/10.1007/978-3-319-40946-7_15

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