skip to main content
10.1145/225058.225181acmconferencesArticle/Chapter ViewAbstractPublication PagesstocConference Proceedingsconference-collections
Article
Free Access

A parallel repetition theorem

Published:29 May 1995Publication History
First page image

References

  1. 1.N. Alon, "Probabilistic Methods in Extremal Finite Set Theory", Proc. of the Conference on Extremal Problems for Finite Sets, Hungary, 199i.Google ScholarGoogle Scholar
  2. 2.S. Arora, C. Lund, R. Motwani, M. Sudan, M. Szegedy, "Proof verification and intractability of approximation problems", FOG'S 92, lJ -23'. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3.S. Arora, S. Safra, "Probabilistic Checking of Proofs; A New Characterization of NP", FOCS 9,?, 2-Is.Google ScholarGoogle Scholar
  4. 4.L. Babai, L. Fortnow, C. Lund, "Non-Deterministic Ex-ponential Time has Two-Prover Interactive Protocols", FOCS 90, 16-25. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.M. Bellare, "Interactive proofs and approximation", ISTCS 93, 266-274.Google ScholarGoogle Scholar
  6. 6.M. Bellare, S. Goldwasser, C. Lund, A. Russell, "Effi-cient probabilistic checkable proofs and applications to approximation", STOC 95', 29&90d. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.M. Bellare, P. Rogaway, "The complexity of approxi-mating a nonlinear program", In: Cornp/ezity in nu-merical optimization, P. Pardalos, cd., World Scientific, 1993.Google ScholarGoogle Scholar
  8. 8.M. Bellare, M. Sudan, "Improved non-approximability results", STOC 94. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. 9.M. Ben-or, S. Goldwasser, J. Kilian, A. Wigderson, "Multi Prover Interactive Proofs: How to Remove In-tractability", STOC 88, 11.3-131. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. 10.M. Ben-or, S. Goldwasser, J. Kilian, A. Wigderson, "Ef-ficient identification schemes using two prover interac-tive proofs", Crypto 89, 498-506. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. 11.J. Cai, A. Condon, R. Lipton, "Playing Games of In-complete Information", STA CS 90. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. 12.I. Csiszar, J. Korner, "Information Theory: Coding Theorems for Discrete Memoryless Systems", Academic Press New York-San Francisco-London (1981). Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 13.C. Dwork, U. Feige, J. Kilian, M. Naor, S. Safra, "Low Communication, 2-Prover Zero-Knowledge Proofs for NP" Crypto 92, 217-229. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. 14.U. Feige, 'On the Success Probability of the Two Provers in One Round Proof Systems", Structures 91, 116-123.Google ScholarGoogle Scholar
  15. 15.U. Feige, S. Goldwasser, L. Lovasz, M. Safra, M. Szegedy, "Approximating Clique is Almost NP-Completen, FOCS 91, 2-I2. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. 16.U. Feige, J. Kilian, "Two Prover Protocols - Low Error at Affordable Rates", STOC 1994. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. 17.U. Feige, L. Lovasz, "Two-prover one-round proof sys-tems, their power and their problems", STOC 1992, 733-744. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. 18.L. Fortnow, "Complexity-Theoretic Aspects of Interac-tive Proof Systems", Ph.D. Thesis, MIT/L CS\TR-447, 1989.Google ScholarGoogle Scholar
  19. 19.L. Fortnow, J. Rompel, M. Sipser, "On the Power of Multi-Prover Interactive Protocols)), Structures 88, 156-161.Google ScholarGoogle Scholar
  20. 20.L. Fortnow, J. Rompel, M. Sipser, "Errata for On the Power of Multi-Prover Interactive Protocols", Struc-tures 90, 318-319.Google ScholarGoogle Scholar
  21. 21.R.M. Gray, "Entropy and Information Theory", Springer-Verlag (1990). Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. 22.B. Kalyanasundaram, G. Schnitger, "The probabilktic communication complexity of set intersection", Struc-tures 87, 41-49.Google ScholarGoogle Scholar
  23. 23.J. Kilian, "Strong Separation Models of Multi Prover Interactive Proofs" DIMA CS Workshop on Cryptogra-phy, October 1990.Google ScholarGoogle Scholar
  24. 24.D. Lapidot, A. Shamir, "A One-Round, Two-Prover, Zero-Knowledge Protocol for NP", Crypto, 1991. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. 25.D. Lapidot, A. Shamir, "Fully Parallelized Multi Prover Protocols for NEXP-time" FOCS 91, 13-18. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. 26.C. Lund, M. Yannakakis, "On the hardness of approxi-mating minimization problems", STO C 93, 286-293. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. 27.D. Peleg, "On the Maximal Number of Ones in Zero-One Matrices with No Forbidden Rectangles", manuscript, 1990.Google ScholarGoogle Scholar
  28. 28.A.A. Razborov, "On the distributional complexity of disjointness", Theoretical Computer Science 106, 1992, 385-390. Google ScholarGoogle ScholarDigital LibraryDigital Library
  29. 29.G. Tardos. "Multi-prover encoding schemes, and 3- prover interactive proofs." Structures, 1994.Google ScholarGoogle Scholar
  30. 30.0. Verbitsky, "Towards the Parallel Repetition Conjec-ture", Structures, 1994.Google ScholarGoogle Scholar
  31. 31.0. Verbitsky, "The Parallel Repetition Conjecture for Trees is True", manuscript, 1994.Google ScholarGoogle Scholar

Index Terms

  1. A parallel repetition theorem

          Recommendations

          Comments

          Login options

          Check if you have access through your login credentials or your institution to get full access on this article.

          Sign in
          • Published in

            cover image ACM Conferences
            STOC '95: Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
            May 1995
            776 pages
            ISBN:0897917189
            DOI:10.1145/225058

            Copyright © 1995 ACM

            Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

            Publisher

            Association for Computing Machinery

            New York, NY, United States

            Publication History

            • Published: 29 May 1995

            Permissions

            Request permissions about this article.

            Request Permissions

            Check for updates

            Qualifiers

            • Article

            Acceptance Rates

            Overall Acceptance Rate1,469of4,586submissions,32%

            Upcoming Conference

            STOC '24
            56th Annual ACM Symposium on Theory of Computing (STOC 2024)
            June 24 - 28, 2024
            Vancouver , BC , Canada

          PDF Format

          View or Download as a PDF file.

          PDF

          eReader

          View online with eReader.

          eReader