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Volumn 36, Issue 4, 2006, Pages 975-1024

Assignment testers: Towards a combinatorial proof of the PCP theorem

Author keywords

Assignment tester; Combinatorial proof; PCP theorem

Indexed keywords

COMBINATORIAL OPTIMIZATION; ERROR CORRECTION; THEOREM PROVING; VERIFICATION;

EID: 34547829715     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539705446962     Document Type: Article
Times cited : (126)

References (31)
  • 1
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of approximation problems
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN, AND M. SZEGEDY, Proof verification and the hardness of approximation problems, J. ACM, 45 (1998), pp. 501-555.
    • (1998) J. ACM , vol.45 , pp. 501-555
    • ARORA, S.1    LUND, C.2    MOTWANI, R.3    SUDAN, M.4    SZEGEDY, M.5
  • 2
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • S. ARORA AND S. SAFRA, Probabilistic checking of proofs: A new characterization of NP, J. ACM, 45 (1998), pp. 70-122.
    • (1998) J. ACM , vol.45 , pp. 70-122
    • ARORA, S.1    SAFRA, S.2
  • 5
    • 0002771903 scopus 로고
    • Non-deterministic exponential time has two-prover interactive protocols
    • L. BABAI, L. FORTNOW, AND C. LUND, Non-deterministic exponential time has two-prover interactive protocols, Comput. Complexity, 1 (1991), pp. 3-40.
    • (1991) Comput. Complexity , vol.1 , pp. 3-40
    • BABAI, L.1    FORTNOW, L.2    LUND, C.3
  • 6
    • 0542423500 scopus 로고    scopus 로고
    • Free bits, PCPs, and nonapproximability-Towards tight results
    • M. BELLARE, O. GOLDREICH, AND M. SUDAN, Free bits, PCPs, and nonapproximability-Towards tight results, SIAM J. Comput., 27 (1998), pp. 804-915.
    • (1998) SIAM J. Comput , vol.27 , pp. 804-915
    • BELLARE, M.1    GOLDREICH, O.2    SUDAN, M.3
  • 15
    • 0028544648 scopus 로고
    • On the power of multi-prover interactive protocols
    • L. FORTNOW, J. ROMPEL, AND M. SIPSER, On the power of multi-prover interactive protocols, Theoret. Comput. Sci., 134 (1994), pp. 545-557.
    • (1994) Theoret. Comput. Sci , vol.134 , pp. 545-557
    • FORTNOW, L.1    ROMPEL, J.2    SIPSER, M.3
  • 17
    • 0003205419 scopus 로고    scopus 로고
    • A sample of samplers - A computational perspective on sampling (survey)
    • available online at
    • O. GOLDREICH, A sample of samplers - A computational perspective on sampling (survey), Electronic Colloquium on Computational Complexity (ECCC), 4 (1997); available online at http://eccc.hpi-web.de/eccc- reports/1997/TR97-020/index.html.
    • (1997) Electronic Colloquium on Computational Complexity (ECCC) , vol.4
    • GOLDREICH, O.1
  • 18
    • 0032108275 scopus 로고    scopus 로고
    • Property testing and its connection to learning and approximation
    • O. GOLDREICH, S. GOLDWASSER, AND D. RON, Property testing and its connection to learning and approximation, J. ACM, 45 (1998), pp. 653-750.
    • (1998) J. ACM , vol.45 , pp. 653-750
    • GOLDREICH, O.1    GOLDWASSER, S.2    RON, D.3
  • 19
    • 0033712260 scopus 로고    scopus 로고
    • A combinatorial consistency lemma with application to proving the PCP theorem
    • O. GOLDREICH AND S. SAFRA, A combinatorial consistency lemma with application to proving the PCP theorem, SIAM J. Comput., 29 (2000), pp. 1132-1154.
    • (2000) SIAM J. Comput , vol.29 , pp. 1132-1154
    • GOLDREICH, O.1    SAFRA, S.2
  • 20
    • 0024611659 scopus 로고
    • The knowledge complexity of interactive proofs
    • S. GOLDWASSER, S. MICALI, AND C. RACKOFF, The knowledge complexity of interactive proofs, SIAM J. Comput., 18 (1989), pp. 186-208.
    • (1989) SIAM J. Comput , vol.18 , pp. 186-208
    • GOLDWASSER, S.1    MICALI, S.2    RACKOFF, C.3
  • 22
    • 0026930922 scopus 로고
    • Algebraic methods for interactive proof systems
    • C. LUND, L. FORTNOW, H. KARLOFF, AND N. NISAN, Algebraic methods for interactive proof systems, J. ACM, 39 (1992), pp. 859-868.
    • (1992) J. ACM , vol.39 , pp. 859-868
    • LUND, C.1    FORTNOW, L.2    KARLOFF, H.3    NISAN, N.4
  • 24
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. RAZ, A parallel repetition theorem, SIAM J. Comput., 27 (1998), pp. 763-803.
    • (1998) SIAM J. Comput , vol.27 , pp. 763-803
    • RAZ, R.1
  • 25
    • 0034503724 scopus 로고    scopus 로고
    • Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
    • Redondo Beach, CA, IEEE Press, Piscataway, NJ
    • O. REINGOLD, S. VADHAN, AND A. WIGDERSON, Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors, in Proceedings of the 41st Annual Symposium on Foundations of Computer Science, Redondo Beach, CA, 2000, IEEE Press, Piscataway, NJ, 2000, pp. 3-13.
    • (2000) Proceedings of the 41st Annual Symposium on Foundations of Computer Science , pp. 3-13
    • REINGOLD, O.1    VADHAN, S.2    WIGDERSON, A.3
  • 26
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterizations of polynomials with applications to program testing
    • R. RUBINFELD AND M. SUDAN, Robust characterizations of polynomials with applications to program testing, SIAM J. Comput., 25 (1996), pp. 252-271.
    • (1996) SIAM J. Comput , vol.25 , pp. 252-271
    • RUBINFELD, R.1    SUDAN, M.2
  • 27
    • 0026930543 scopus 로고    scopus 로고
    • A. SHAMIR, IP = PSPACE, J. ACM, 39 (1992), pp. 869-877.
    • A. SHAMIR, IP = PSPACE, J. ACM, 39 (1992), pp. 869-877.
  • 29
    • 0030283874 scopus 로고    scopus 로고
    • Linear-time encodable and decodable error-correcting codes
    • D. A. SPIELMAN, Linear-time encodable and decodable error-correcting codes, IEEE Trans. Inform. Theory, 42 (1996), pp. 1723-1731.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1723-1731
    • SPIELMAN, D.A.1
  • 30
    • 84887462280 scopus 로고    scopus 로고
    • M. SZEGEDY, Many-valued logics and holographic proofs, in Proceedings of ICALP'99, Prague, Czech Republic, 1999, Lecture Notes in Comput. Sci. 1644, Springer, New York, 1999, pp. 676-686.
    • M. SZEGEDY, Many-valued logics and holographic proofs, in Proceedings of ICALP'99, Prague, Czech Republic, 1999, Lecture Notes in Comput. Sci. 1644, Springer, New York, 1999, pp. 676-686.
  • 31
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • R. M. TANNER, A recursive approach to low complexity codes, IEEE Trans. Inform. Theory, IT-27 (1981), pp. 533-547.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , pp. 533-547
    • TANNER, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.