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
Hauptverfasser: Jančar, Petr, Sawa, Zdeněk
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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.
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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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