Computational Complexity of Certain Problems Related to Carefully Synchronizing Words for Partial Automata and Directing Words for Nondeterministic Automata |
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Authors: | Pavel Martyugin |
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Affiliation: | 1. Institute of Mathematics and Computer Science, Ural Federal University, 620000, Ekaterinburg, Russia
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Abstract: | We show that the problem of checking careful synchronizability of partial finite automata is PSPACE-complete. Also the problems of checking D 1-, D 2-, and D 3-directability of nondeterministic finite automata are PSPACE-complete; moreover, the restrictions of all these problems to automata with two input letters remain PSPACE-complete. |
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