Journalartikel
Autorenliste: Malcher, Andreas; Mereghetti, Carlo; Palano, Beatrice
Jahr der Veröffentlichung: 2012
Seiten: 119-133
Zeitschrift: Theoretical Computer Science
Bandnummer: 449
ISSN: 0304-3975
DOI Link: https://doi.org/10.1016/j.tcs.2012.04.007
Verlag: Elsevier
Abstract:
Two-way nondeterministic pushdown automata (2PDA) are classical nondeterministic pushdown automata (PDA) enhanced with two-way motion of the input head. In this paper, the subclass of 2PDA accepting bounded languages and making at most a constant number of input head turns is studied with respect to descriptional complexity aspects. In particular, the effect of reducing the number of pushdown reversals to a constant number is of interest. It turns out that this reduction leads to an exponential blow-up in case of nondeterministic devices, and to a doubly-exponential blow-up in case of deterministic devices. If the restriction On boundedness of the languages considered and on the finiteness of the number of head and pushdown turns is dropped, the resulting trade-offs are no longer bounded by recursive functions, and so-called non-recursive trade-offs are shown. (C) 2012 Elsevier B.V. All rights reserved.
Zitierstile
Harvard-Zitierstil: Malcher, A., Mereghetti, C. and Palano, B. (2012) Descriptional complexity of two-way pushdown automata with restricted head reversals, Theoretical Computer Science, 449, pp. 119-133. https://doi.org/10.1016/j.tcs.2012.04.007
APA-Zitierstil: Malcher, A., Mereghetti, C., & Palano, B. (2012). Descriptional complexity of two-way pushdown automata with restricted head reversals. Theoretical Computer Science. 449, 119-133. https://doi.org/10.1016/j.tcs.2012.04.007
Schlagwörter
Bounded head reversals; Bounded languages; Bounded pushdown reversals; Counter machines; DESCRIPTIONAL COMPLEXITY; FINITE AUTOMATA; LANGUAGES; SUCCINCTNESS; Two-way pushdown automata; UNARY AUTOMATA