Journalartikel

Jahr der Veröffentlichung: 2014

Seiten: 294-302

Zeitschrift: Information and Computation

Bandnummer: 237

ISSN: 0890-5401

eISSN: 1090-2651

Open Access Status: Bronze

DOI Link: https://doi.org/10.1016/j.ic.2014.04.001

Verlag: Elsevier

Abstract: 
We investigate the descriptional complexity and decidability of obliviousness for two-way finite automata. In particular, we consider the simulation of two-way deterministic finite automata (2DFAs) by oblivious 2DFAs, the simulation of oblivious 2DFAs by sweeping 2DFAs and one-way nondeterministic finite automata (1NFAs) as well as the simulation of sweeping 2DFAs by 1NFAs. In all cases exponential lower bounds on the number of states are obtained for languages over an alphabet with at most four letters. Finally, a procedure for deciding obliviousness of an arbitrary 2DFA is given and, moreover, the problem is shown to be PSPACE-complete. (C) 2014 Elsevier Inc. All rights reserved.

Harvard-Zitierstil: Kutrib, M., Malcher, A. and Pighizzini, G. (2014) Oblivious two-way finite automata: Decidability and complexity, Information and Computation, 237, pp. 294-302. https://doi.org/10.1016/j.ic.2014.04.001

APA-Zitierstil: Kutrib, M., Malcher, A., & Pighizzini, G. (2014). Oblivious two-way finite automata: Decidability and complexity. Information and Computation. 237, 294-302. https://doi.org/10.1016/j.ic.2014.04.001