This paper introduces a probabilistic rebound automaton (pra), and investigates its accepting power and closure property. We show that (1) the class of languages recognized by pra's with error probability less than 1/2, PRA, is incomparable with the class of context-free languages, (2) there is a language accepted by a two-way nondeterministic one counter automaton, but not in PRA, and (3) there is a language accepted by a deterministic one-marker rebound automaton, but not in PRA. We also show that PRA is not closed under concatenation and Kleene + .
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Lan ZHANG, Tokio OKAZAKI, Katsushi INOUE, Akira ITO, Yue WANG, "A Note on Probabilistic Rebound Automata" in IEICE TRANSACTIONS on Information,
vol. E81-D, no. 10, pp. 1045-1052, October 1998, doi: .
Abstract: This paper introduces a probabilistic rebound automaton (pra), and investigates its accepting power and closure property. We show that (1) the class of languages recognized by pra's with error probability less than 1/2, PRA, is incomparable with the class of context-free languages, (2) there is a language accepted by a two-way nondeterministic one counter automaton, but not in PRA, and (3) there is a language accepted by a deterministic one-marker rebound automaton, but not in PRA. We also show that PRA is not closed under concatenation and Kleene + .
URL: https://global.ieice.org/en_transactions/information/10.1587/e81-d_10_1045/_p
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@ARTICLE{e81-d_10_1045,
author={Lan ZHANG, Tokio OKAZAKI, Katsushi INOUE, Akira ITO, Yue WANG, },
journal={IEICE TRANSACTIONS on Information},
title={A Note on Probabilistic Rebound Automata},
year={1998},
volume={E81-D},
number={10},
pages={1045-1052},
abstract={This paper introduces a probabilistic rebound automaton (pra), and investigates its accepting power and closure property. We show that (1) the class of languages recognized by pra's with error probability less than 1/2, PRA, is incomparable with the class of context-free languages, (2) there is a language accepted by a two-way nondeterministic one counter automaton, but not in PRA, and (3) there is a language accepted by a deterministic one-marker rebound automaton, but not in PRA. We also show that PRA is not closed under concatenation and Kleene + .},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - A Note on Probabilistic Rebound Automata
T2 - IEICE TRANSACTIONS on Information
SP - 1045
EP - 1052
AU - Lan ZHANG
AU - Tokio OKAZAKI
AU - Katsushi INOUE
AU - Akira ITO
AU - Yue WANG
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E81-D
IS - 10
JA - IEICE TRANSACTIONS on Information
Y1 - October 1998
AB - This paper introduces a probabilistic rebound automaton (pra), and investigates its accepting power and closure property. We show that (1) the class of languages recognized by pra's with error probability less than 1/2, PRA, is incomparable with the class of context-free languages, (2) there is a language accepted by a two-way nondeterministic one counter automaton, but not in PRA, and (3) there is a language accepted by a deterministic one-marker rebound automaton, but not in PRA. We also show that PRA is not closed under concatenation and Kleene + .
ER -