Skip to main content

Separability and one-way functions

  • Conference paper
  • First Online:
Book cover Algorithms and Computation (ISAAC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 834))

Included in the following conference series:

The full paper is available from the authors.

partially supported by NSF grant CCR 92-53582

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Bennet and J. Gill. Relative to a random oracle, P ANP A ≠ co-NP A with probability one. SIAM Journal on Computing, 10:96–113, 1981.

    Article  Google Scholar 

  2. T. Baker, J. Gill, and R. Solovay. Relativizations of the P = NP question. SIAM Journal on Computing, 4(4):431–442, 1975.

    Article  Google Scholar 

  3. M. Blum and R. Impagliazzo. Generic oracles and oracle classes. In Proceedings of the 28th IEEE Symposium on Foundations of Computer Science, pages 118–126. IEEE, New York, 1987.

    Google Scholar 

  4. P. Crescenzi and R. Silvestri. Sperner's lemma and robust machines. In Proceedings of the 8th IEEE Structure in Complexity Theory Conference, pages 194–199. IEEE, New York, 1993.

    Google Scholar 

  5. S. Fenner, L. Fortnow, and S. Kurtz. The isomorphism conjecture holds relative to an oracle. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, pages 30–39. IEEE, New York, 1992.

    Google Scholar 

  6. S. Fenner, L. Fortnow, S. Kurtz, and L. Li. An oracle builder's toolkit. In Proceedings of the 8th IEEE Structure in Complexity Theory Conference, pages 120–131. IEEE, New York, 1993.

    Google Scholar 

  7. J. Geske and J. Grollmann. Relativizations of unambiguous and random polynomial time classes. SIAM Journal on Computing, 15(2):511–519, 1986.

    Google Scholar 

  8. J. Grollmann and A Selman. Complexity measures for public-key cryptosystems. SIAM Journal on Computing, 17:309–355, 1988.

    Google Scholar 

  9. J. Hartmanis and L. Hemachandra. One-way functions, robustness and the nonisomorphism of NP-complete sets. In Proceedings of the 2nd IEEE Structure in Complexity Theory Conference, pages 160–173. IEEE, New York, 1987.

    Google Scholar 

  10. S. Homer and A. Selman. Oracles for structural properties: The isomorphism problem and public-key cryptography. Journal of Computer and System Sciences, 44(2):287–301, 1992.

    Google Scholar 

  11. R. Impagliazzo and M. Naor. Decision trees and downward closures. In Proceedings of the 3rd IEEE Structure in Complexity Theory Conference, pages 29–38. IEEE, New York, 1988.

    Google Scholar 

  12. R. Impagliazzo and S. Rudich. Limits on the provable consequences of one-way permutations. In Proceedings of the 21st ACM Symposium on the Theory of Computing, pages 44–61. ACM, New York, 1989.

    Google Scholar 

  13. S. Kurtz, S. Mahaney, and J. Royer. The isomorphism conjecture fails to a random oracle. In Proceedings of the 21st ACM Symposium on the Theory of Computing, pages 157–166. ACM, New York, 1989.

    Google Scholar 

  14. C. Rackoff. Relativized questions involving probablistic algorithms. Journal of the ACM, 29(1):261–268, 1982.

    Google Scholar 

  15. N. Vereshchagin. Relationships between NP-sets, Co-NP-sets and P-sets relative to random oracles. In Proceedings of the 8th IEEE Structure in Complexity Theory Conference, pages 132–138. IEEE, New York, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Lance Fortnow or John Rogers .

Editor information

Ding-Zhu Du Xiang-Sun Zhang

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fortnow, L., Rogers, J. (1994). Separability and one-way functions. In: Du, DZ., Zhang, XS. (eds) Algorithms and Computation. ISAAC 1994. Lecture Notes in Computer Science, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58325-4_204

Download citation

  • DOI: https://doi.org/10.1007/3-540-58325-4_204

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58325-7

  • Online ISBN: 978-3-540-48653-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics