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IEICE TRANSACTIONS on Information

Some Observations Concerning Alternating Pushdown Automata with Sublogarithmic Space

Jianliang XU, Katsushi INOUE, Yue WANG, Akira ITO

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Summary :

This paper first investigates a relationship between inkdot-depth and inkdot-size of inkdot two-way alternating Turing machines and pushdown automata with sublogarithmic space, and shows that there exists a language accepted by a strongly loglog n space-bounded alternating pushdown automaton with inkdot-depth 1, but not accepted by any weakly o (log n) space-bounded and d (n) inkdot-size bounded alternating Turing machine, for any function d (n) such that limn [d (n)log n/n1/2] = 0. In this paper, we also show that there exists an infinite space hierarchy among two-way alternating pushdown automata with sublogarithmic space.

Publication
IEICE TRANSACTIONS on Information Vol.E80-D No.12 pp.1221-1226
Publication Date
1997/12/25
Publicized
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DOI
Type of Manuscript
Category
Automata,Languages and Theory of Computing

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