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On complexity of nondeterministic Turing machines computations

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 32))

Abstract

A relation of three complexity measures for nondeterministic one-tape, one-head Turing machines is established in this paper. Namely, the fact that for every arithmetic function f such that (∀ n) (f(n) ≥ n) the class of languages recognized with the tape bound f coincides with the classes of languages recognized with the crossing and reversal bound f, respectively, is proved. This result is used to show that CS-languages can be characterized as a "projection" of a class of languages recognized by deterministic Turing machines.

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References

  1. Hennie F. C., One-tape, off-line Turing machine computations, Information and Control, 8, (1965), 553–578.

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  3. Chytil M. P., Crossing-bounded automata and their relation to the LBA problem. In "Tagung über Automatentheorie und Formale Sprachen, 1974", Universität Dortmund, Abteilung Informatik.

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  4. Chytil M. P., Crossing-bounded computations and their relation to the LBA-problem. Submitted for publication.

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  5. Kameda T., Vollmar R., Note on tape reversal complexity of languages, Information and Control, 13 (1970), 203–215.

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Jíří Bečvář

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© 1975 Springer-Verlag Berlin Heidelberg

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Chytil, M.P. (1975). On complexity of nondeterministic Turing machines computations. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1975 4th Symposium, Mariánské Lázně, September 1–5, 1975. MFCS 1975. Lecture Notes in Computer Science, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07389-2_196

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  • DOI: https://doi.org/10.1007/3-540-07389-2_196

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07389-5

  • Online ISBN: 978-3-540-37585-2

  • eBook Packages: Springer Book Archive

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