This paper investigates some aspects of the accepting powers of deterministic, nondeterministic, and alternating one-pebble Turing machines with spaces between log log n ang log n. We first investigate a relationship between the accepting powers of two-way deterministic one-counter automata and deterministic (or nondeterministic) one-pebble Turing machines, and show that they are incomparable. Then we investigate a relationship between nondeterminism and alternation, and show that there exists a language accepted by a strongly log log n space-bounded alternating one-pebble Turing machine, but not accepted by any weakly o(log n) space-bounded nondeterministic one-pebble Turing machine. Finally, we investigate a space hierarchy, and show that for any one-pebble fully space constructible function L(n) ≤ log n, and any function L′(n) = o(L(n)), there exists a language accepted by a strongly L(n) space-bounded deterministic one-pebble Turing machine, but not accepted by any weakly L′(n) space-bounded nondeterministic one-pebble Turing machine. © Springer-Verlag Berlin Heidelberg 2003.
CITATION STYLE
Inoue, A., Ito, A., Inoue, K., & Okazaki, T. (2003). Some properties of one-pebble turing machines with sublogarithmic space. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2906, 635–644. https://doi.org/10.1007/978-3-540-24587-2_65
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