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Maze recognizing automata and nondeterministic tape complexity

โœ Scribed by Walter J. Savitch


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
682 KB
Volume
7
Category
Article
ISSN
0022-0000

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โœฆ Synopsis


A new device called a maze recognizing automaton is introduced. The following two statements are shown to be equivalent. (i) There is a maze recognizing automaton that accepts precisely the threadable mazes. (ii) Every nondeterministic L(n)-tape bounded Turing machine can be simulated by a deterministic L(n)-tape bounded Turing machine, provided L(n) > log2 n.


๐Ÿ“œ SIMILAR VOLUMES


Relationships between nondeterministic a
โœ Walter J. Savitch ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 816 KB

The amount of storage needed to simulate a nondeterministic tape bounded Turing machine on a deterministic Turing machine is investigated. Results include the following: Theorem. A nondeterministic L(n)-tape bounded Turing machine can be simulated by a deterministic [L(n)]2-tape bounded Turing machi

On tape-bounded complexity classes and m
โœ I.H. Sudborough ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 798 KB

The principal result described in this paper is the equivalence of the following statements : (1) Every set accepted by a nondeterministic one-way two-head finite automaton can be accepted by a deterministic two-way k-head finite automaton, for some k. (2) The context-free language Lp (described i