Skip to main content

Probabilistic quantifiers vs. distrustful adversaries

  • Session 8 Theory Of Algorithms
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 287))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

8. References

  1. BABAI, L., Trading Group Theory for Randomness, 17th STOC, (1985), 421–429.

    Google Scholar 

  2. BABAI, L., and ERDOS, P., Representation of Group Elements as as short Products, in: Theory and Practice of Combinatorics (A. Rosa et al. eds.), Annals of Discr. Math. 12, (1982), 27–30.

    Google Scholar 

  3. BENNETT, C.H., and GILL, J., Relative to a Random Oracle A, P ANP AcoNP A, SIAM J. Comput 10, (1981), 96–113.

    Article  Google Scholar 

  4. BOPPANA, R.B., HASTAD, J., and ZACHOS, S., Does co-NP have Short Interactive Proofs?, (1986), IPL 25, (1987), 127–132.

    Article  Google Scholar 

  5. BABAI, L.., and SZEMEREDI, E., On the Complexity of Matrix Group Problems I, FOCS 25, (1984), 229–240.

    Google Scholar 

  6. FURST, M.L., HOPCROFT, J., and LUKS, E.M., Polynomial-time Algorithms for Permutation Groups, 21st FOCS, (1980), 36–41.

    Google Scholar 

  7. FORTNOW, L., and SIPSER, M., Private Communication.

    Google Scholar 

  8. GILL, J., Computational Complexity of Probabilistic Turing Machines, SIAM J. of Computing 6, (1977), 675–695.

    Article  Google Scholar 

  9. GALIL, Z., HABER, S., and YUNG, M., A Private Interactive Test of a Boolean Predicate and Minimum — Knowledge Public — Key Cryptosystems, 26th FOCS, (1985), 360–371.

    Google Scholar 

  10. GOLDWASSER, S., MICALI, S., and RACKOFF, C., The Knowledge Complexity of Interactive Proof Systems, 17th STOC, (1985), 291–304.

    Google Scholar 

  11. GOLDWASSER, S., and SIPSER, M., Private Coins versus Public Coins in Interactive Proof Systems, 18th STOC, (1986), 59–68.

    Google Scholar 

  12. HINMAN, P. and ZACHOS, S., Probabilistic Machines, Oracles and Quantifiers, Proceedings of the Oberwolfach Recursion-theoretic Week, Lecture Notes in Mathematics 1141, Springer-Verlag, (1984), 159–192.

    Google Scholar 

  13. PAPADIMITRIOU, C.H., Games against Nature, 24th FOCS, (1983), 446–450.

    Google Scholar 

  14. PAPADIMITRIOU, C.H., and YANNAKAKIS, M., The Complexity of Facets (and some facets of complexity), 14th STOC, (1982), 255–260.

    Google Scholar 

  15. STOCKMEYER, L.J., The Polynomial-Time Hierarchy, TCS 3, (1976), 1–22.

    Article  Google Scholar 

  16. SCHOENING, U., Graph Isomorphism is in the Low Hierarchy, (1986), submitted for publication.

    Google Scholar 

  17. SIMS, C.C., Some Group Theoretic Algorithms, Lect. Notes in Math. 697, Springer-Verlag, (1978), 108–124.

    Google Scholar 

  18. SOLOVAY, R., and STRASSEN, V., A fast Monte-Carlo test for primality, SIAM J. of Computing 6, (1977) 84–85.

    Article  Google Scholar 

  19. WRATHALL, C., Complete Sets and the Polynomial-Time Hierarchy, TCS 3, (1976), 23–33.

    Article  Google Scholar 

  20. ZACHOS, S., Robustness of Probabilistic Computational Complexity Classes under Definional Perturbations, Information and Control, (1982), 54, 143–154.

    Article  Google Scholar 

  21. ZACHOS, S., and HELLER, H., On BPP, TM-252, LCS, MIT, (1983).

    Google Scholar 

  22. ZACHOS, S., and HELLER, H., A Decisive Characterization of BPP, Information and Control, (1986), 69, 125–135.

    Article  Google Scholar 

  23. ZACHOS, S., Probabilistic Quantifiers, Adversaries, and Complexity Classes: An Overview, Proceedings of Structure in Complexity Theory Conference, Lecture Notes in Computer Science, 223, (1986), 383–400.

    Google Scholar 

  24. ZACHOS, S., Probabilistic Oracles are less Powerfull than Nondeterministic Oracles, submitted for publication, (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Kesav V. Nori

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zachos, S., Furer, M. (1987). Probabilistic quantifiers vs. distrustful adversaries. In: Nori, K.V. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1987. Lecture Notes in Computer Science, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18625-5_67

Download citation

  • DOI: https://doi.org/10.1007/3-540-18625-5_67

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18625-0

  • Online ISBN: 978-3-540-48033-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics