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A note on multihead automata and context-sensitive languages

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Summary

In this note we show that the following two statements are equivalent: (1) Any language over a one-letter alphabet, which is accepted by some nondeterministic multihead automaton can also be accepted by some deterministic multihead automaton. (2) Deterministic and nondeterministic context-sensitive languages are the same.

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References

  1. Hartmanis, J.: On non-determinacy in simple computing devices. Acta Informatica 1, 336–344 (1972)

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  2. Hopcroft, J. E., Ullman, J. D.: Formal languages and their relation to automata. Reading (Mass.): Addison-Wesley 1969

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  3. Savitch, W. J.: Relationships between nondeterministic and deterministic tape complexities. J. Computer and System Sciences 4, 177–192 (1970)

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Authors and Affiliations

  1. Dept. of Applied Physics and Information Science, University of California at San Diego, 92037, La Jolla, California, USA

    Walter J. Savitch

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  1. Walter J. Savitch
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Additional information

This research was supported by NSF grant GJ-27278.

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Savitch, W.J. A note on multihead automata and context-sensitive languages. Acta Informatica 2, 249–252 (1973). https://doi.org/10.1007/BF00289080

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  • DOI: https://doi.org/10.1007/BF00289080

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