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Equivalence of Deterministic One-Counter Automata is NL-complete

Prelegent(ci)
Petr Jančar
Afiliacja
Technical University of Ostrava
Termin
13 marca 2013 14:15
Pokój
p. 5870
Seminarium
Seminarium „Teoria automatów”

We prove that language equivalence of deterministic one-counter automata is NL-complete. This improves the superpolynomial time complexity upper bound shown by Valiant and Paterson in 1975. Our main contribution is to prove that two deterministic one-counter automata are inequivalent if and only if they can be distinguished by a word of length polynomial in the size of the two input automata.