Two-way nondeterministic pushdown automata (2PDA2PDA) are classical nondeterministic pushdown automata (PDAPDA) enhanced with two-way motion of the input head. In this paper, the subclass of 2PDA2PDA 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 turns is dropped, the resulting trade-offs are no longer bounded by recursive functions, and so-called non-recursive trade-offs are shown.
Descriptional complexity of two-way pushdown automata with restricted head reversals / A. Malcher, C. Mereghetti, B. Palano - In: Descriptional Complexity of Formal Systems / [a cura di] M. Holzer, M. Kutrib, G. Pighizzini. - Berlin : Springer, 2011. - ISBN 9783642225994. - pp. 248-260 (( Intervento presentato al 13. convegno International Workshop on Descriptional Complexity of Formal Systems tenutosi a Limburg nel 2011.
|Titolo:||Descriptional complexity of two-way pushdown automata with restricted head reversals|
MEREGHETTI, CARLO (Secondo)
PALANO, BEATRICE SANTA (Ultimo)
|Parole Chiave:||bounded head reversals; bounded languages; descriptional complexity; two-way pushdown automata|
|Settore Scientifico Disciplinare:||Settore INF/01 - Informatica|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/978-3-642-22600-7_20|
|Tipologia:||Book Part (author)|
|Appare nelle tipologie:||03 - Contributo in volume|