This paper investigates some fundamental properties of one-way alternating pushdown automata with sublinear space. We first show that one-way nondeterministic pushdown automata are incomparale with one-way alternating pushdown automata with only universal states, for spaces between log log n and log n, and also for spaces between log n and n/log n. We then show that there exists an infinite space hierarchy among one-way alternating pushdown automata with only universal states which have sublinear space.
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Jianliang XU, Tsunehiro YOSHINAGA, Katsushi INOUE, "Some Observations on One-way Alternating Pushdown Automata with Sublinear Space" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 5, pp. 1012-1019, May 2004, doi: .
Abstract: This paper investigates some fundamental properties of one-way alternating pushdown automata with sublinear space. We first show that one-way nondeterministic pushdown automata are incomparale with one-way alternating pushdown automata with only universal states, for spaces between log log n and log n, and also for spaces between log n and n/log n. We then show that there exists an infinite space hierarchy among one-way alternating pushdown automata with only universal states which have sublinear space.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e87-a_5_1012/_p
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@ARTICLE{e87-a_5_1012,
author={Jianliang XU, Tsunehiro YOSHINAGA, Katsushi INOUE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Some Observations on One-way Alternating Pushdown Automata with Sublinear Space},
year={2004},
volume={E87-A},
number={5},
pages={1012-1019},
abstract={This paper investigates some fundamental properties of one-way alternating pushdown automata with sublinear space. We first show that one-way nondeterministic pushdown automata are incomparale with one-way alternating pushdown automata with only universal states, for spaces between log log n and log n, and also for spaces between log n and n/log n. We then show that there exists an infinite space hierarchy among one-way alternating pushdown automata with only universal states which have sublinear space.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Some Observations on One-way Alternating Pushdown Automata with Sublinear Space
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1012
EP - 1019
AU - Jianliang XU
AU - Tsunehiro YOSHINAGA
AU - Katsushi INOUE
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2004
AB - This paper investigates some fundamental properties of one-way alternating pushdown automata with sublinear space. We first show that one-way nondeterministic pushdown automata are incomparale with one-way alternating pushdown automata with only universal states, for spaces between log log n and log n, and also for spaces between log n and n/log n. We then show that there exists an infinite space hierarchy among one-way alternating pushdown automata with only universal states which have sublinear space.
ER -