A note on emptiness for alternating finite automata with a one-letter alphabet
We present a new proof of PSPACE-hardness of the emptiness problem for alternating finite automata with a singleton alphabet. This result was shown by Holzer (1995) who used a proof relying on a series of reductions from several papers. The new proof is simple, direct and self-contained.
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Veröffentlicht in: | Information processing letters 2007-11, Vol.104 (5), p.164-167 |
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creator | Jančar, Petr Sawa, Zdeněk |
description | We present a new proof of
PSPACE-hardness of the emptiness problem for alternating finite automata with a singleton alphabet. This result was shown by Holzer (1995) who used a proof relying on a series of reductions from several papers. The new proof is simple, direct and self-contained. |
doi_str_mv | 10.1016/j.ipl.2007.06.006 |
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subjects | Algorithmics. Computability. Computer arithmetics Alternating finite automaton Applied sciences Computational complexity Computer science control theory systems Emptiness Exact sciences and technology Information processing Language theory and syntactical analysis Miscellaneous Studies Theoretical computing Vector space |
title | A note on emptiness for alternating finite automata with a one-letter alphabet |
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