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las vegas finite automata

RAIRO - Theoretical Informatics and Applications (1)

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Note on the complexity of Las Vegas automata problems
Galina Jirásková
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 40 / Issue 3 / July 2006

Published online by Cambridge University Press:

18 October 2006, pp. 501-510

Print publication:

July 2006
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We investigate the complexity of several problems concerning Las Vegas finite automata. Our results are as follows. (1) The membership problem for Las Vegas finite automata is in NL. (2) The nonemptiness and inequivalence problems for Las Vegas finite automata are NL-complete. (3) Constructing for a given Las Vegas finite automaton a minimum state deterministic finite automaton is in NP. These results provide partial answers to some open problems posed by Hromkovič and Schnitger [Theoret. Comput. Sci.262 (2001) 1–24)].