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
Maze recognizing automata and nondeterministic tape complexity
โ Scribed by Walter J. Savitch
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 682 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
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