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Symmertric space-bounded computation (extended abstract)

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 85))

Abstract

A symmetric Turing machine is one whose "yields" relation between configurations is symmetric. The space complexity classes for such machines are found to be intermediate between the corresponding deterministic and nondeterministic space complexity classes. Certain natural problems are shown to be complete for symmetric space complexity classes, and the relationship of symmetry to determinism and nondeterminism is investigated.

Research supported by NSF Grant MCS76-09375-A01.

Research supproted by NSF Grant MCS-77-01193.

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References

  1. R. Aleliunas, R.M. Karp, R.J. Lipton, L. Lovasz, C. Rackoff: Random walks, universal sequences, and the complexity of maze problems, Proceedings of 20th Annual Symposium on Foundations of Computer Science, 1979, pp. 218–223.

    Google Scholar 

  2. S.A. Cook: Characterizations of pushdown machines in terms of time-bounded computers, Journal of the Association for Computing Machinery 18 (1971), pp. 4–18.

    Google Scholar 

  3. A. Cypher: An approach to the k-paths problem, Proceedings of 12th Annual Symposium on Theory of Computing, 1980.

    Google Scholar 

  4. S. Fortune, J.E. Hopcroft, J. Wyllis: The directed subgraph homeomorphism problem, Theoretical Computer Science 10 (1980), pp. 111–121.

    Google Scholar 

  5. J. Gill: Computational complexity of probabilistic Turing machines, SIAM Journal on Computing 6 (1977), pp. 675–695.

    Google Scholar 

  6. J.D. Hopcroft, J.E. Ullman: Nonerasing stack automata, Journal of the Association for Computing Machinery 18 (1971), pp. 4–18.

    Google Scholar 

  7. J.D. Hopcroft, J.E. Ullman: Introduction to Automata Theory, Languages, and Computation, Addison-Wesley, 1979.

    Google Scholar 

  8. H. Jia-wei: On some deterministic space complexity problems, Proceedings of 12th Annual Symposium on Theory of Computing, 1980.

    Google Scholar 

  9. N.D. Jones: Space-bounded reducibility among combinatorial problems, Journal of Computer and Systems Sciences 11 (1972), pp. 68–85.

    Google Scholar 

  10. N.D. Jones, Y.E. Lien, W.T. Laaser: New problems complete for log space, Mathematical Systems Theory 10 (1976), pp. 1–17.

    Google Scholar 

  11. A. LaPaugh: Private communication, November 1979.

    Google Scholar 

  12. A. LaPaugh, R.L. Rivest: The subgraph homeomorphism problem, Proceedings of 10th Annual Symposium on Theory of Computing, 1978, pp. 40–50.

    Google Scholar 

  13. H.R. Lewis, C.H. Papadimitriou: Elements of the Theory of Computation, Prentice-Hall, 1981 (to appear).

    Google Scholar 

  14. E.L. Post: Recursive unsolvability of a problem of Thue, Journal of Symbolic Logic 13 (1947), pp. 1–11.

    Google Scholar 

  15. S. Ruby and P.C. Fischer: Translational methods and computational complexity, IEEE Conference Record on Switching Circuit Theory and Logical Design, 1965, pp. 173–178.

    Google Scholar 

  16. W.J. Savitch: Relations between nondeterministic and deterministic tape complexities, Journal of Computer and Systems Sciences 4 (1970), pp. 177–192.

    Google Scholar 

  17. Y. Shiloach: The two paths problem is polynomial, Journal of the Association for Computing Machinery, to appear.

    Google Scholar 

  18. W.J. Sakoda, M. Sipser: Nondeterminism and the size of two-way finite automata, Proceedings of 10th Annual Symposium on Theory of Computing, 1978, pp. 275–286.

    Google Scholar 

  19. M. Sipser: Lower bounds on the size of sweeping automata, Proceedings of 11th Annual Symposium on Theory of Computing, 1979, pp. 360–364.

    Google Scholar 

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Jaco de Bakker Jan van Leeuwen

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© 1980 Springer-Verlag Berlin Heidelberg

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Lewis, H.R., Papadimitriou, C.H. (1980). Symmertric space-bounded computation (extended abstract). In: de Bakker, J., van Leeuwen, J. (eds) Automata, Languages and Programming. ICALP 1980. Lecture Notes in Computer Science, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10003-2_85

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  • DOI: https://doi.org/10.1007/3-540-10003-2_85

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10003-4

  • Online ISBN: 978-3-540-39346-7

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