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Honest iteration schemes of randomizing algorithms

  • Jie Wang
  • Jay Belanger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 650)

Abstract

This paper further studies Blass and Gurevich's iteration schemes of randomizing algorithms for randomized reductions [BG91]. An iteration scheme of a randomizing algorithm is honest if it passes a bit to a process independently of its value. We show that if a fair iteration scheme is honest, then it is independent. This implies the previous known sufficient condition for independence in [BG91]. On the other hand, we show that for independence, honesty is not necessary.

Keywords

Turing Machine Initial Segment Search Problem Iteration Scheme Fair Coin 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [BCGL89]
    S. Ben-David, B. Chor, O. Goldreich, and M. Luby, On the theory of average case complexity, Proc. 21st Annual ACM Symposium on Theory of Computing, 1989, pp.204–216.Google Scholar
  2. [BG91]
    A. Blass and Y. Gurevich, Randomizing reductions of search problems, Proceedings of Foundations of Software Technology and Theoretical Computer Science (Invited Talk), New Delhi, India, 1991, pp. 10–24.Google Scholar
  3. [Gur91]
    Y. Gurevich, Average case completeness, J. of Computer and System Sciences, 42(1991), pp. 346–398.CrossRefGoogle Scholar
  4. [IL90]
    R. Impagliazzo and L. Levin, No better ways to generate hard NP instances than picking uniformly at random, Proc. 31th IEEE Symposium on Foundations of Computer Science, 1990, pp. 812–821.Google Scholar
  5. [Lev84]
    L. Levin, Average case complete problems, SIAM J. on Computing, 15(1986), pp. 285–286. Extended abstract appeared in Proc. 16th ACM Symposium on Theory of Computing, 1984, p. 465.CrossRefGoogle Scholar
  6. [VL88]
    R. Venkatesan and L. Levin, Random instances of a graph coloring problem are hard, Proc. 20th ACM Symposium on Theory of Computing, 1988, pp. 217–222.Google Scholar
  7. [Ven91]
    R. Venkatesan, Average Case Intractability, Ph.D. thesis, Computer Science Department, Boston University, 1991.Google Scholar
  8. [VR92]
    R. Venkatesan and S. Rajagopalan, Average case intractability of Diophantine and matrix problems, Proc. of 24th ACM Symposium of Theory of Computing, May 1992, pp. 632–642.Google Scholar
  9. [WB92]
    J. Wang and J. Belanger, On average P vs. average NP, Proc. of the 7th IEEE Conference on Structure in Complexity Theory, June 1992, pp. 318–326.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Jie Wang
    • 1
  • Jay Belanger
    • 1
  1. 1.Wilkes UniversityWilkes-BarreUSA

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