메뉴 건너뛰기




Volumn 22, Issue 4, 2002, Pages 461-478

Error reduction by parallel repetition - A negative result

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036998523     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-002-0001-0     Document Type: Article
Times cited : (41)

References (25)
  • 1
    • 0013427153 scopus 로고
    • Probabilistic methods in extremal finite set theory
    • (P. Frankl, Z. Füredi, G. O. H. Katona and D. Miklós Eds.), Bolyai Society Mathematical Studies,3, Visegrád, Hungary, 1991
    • N. ALON: Probabilistic methods in extremal finite set theory, in: Extremal Problems for Finite Sets, (P. Frankl, Z. Füredi, G. O. H. Katona and D. Miklós Eds.), Bolyai Society Mathematical Studies,3, Visegrád, Hungary, 1991, 39-57, 1991.
    • (1991) Extremal Problems for Finite Sets , pp. 39-57
    • Alon, N.1
  • 2
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of approximation problems
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN, M. SZEGEDY: Proof verification and the hardness of approximation problems, Journal of the ACM, 45(3) (1998), 501-555.
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 0002771903 scopus 로고
    • Non-deterministic exponential time has two-prover interactive protocols
    • L. BABAI, L. FORTNOW, C. LUND: Non-deterministic exponential time has two-prover interactive protocols, Computational Complexity, 1 (1991), 3-40.
    • (1991) Computational Complexity , vol.1 , pp. 3-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 5
    • 0542423500 scopus 로고    scopus 로고
    • Free bits, PCPs and non-approximability - Towards tight results
    • M. BELLARE, O. GOLDREICH, M. SUDAN: Free bits, PCPs and non-approximability - towards tight results, SIAM J. Comput., 27(3) (1998), 804-915.
    • (1998) SIAM J. Comput. , vol.27 , Issue.3 , pp. 804-915
    • Bellare, M.1    Goldreich, O.2    Sudan, M.3
  • 12
    • 0034457132 scopus 로고    scopus 로고
    • Two prover protocols - Low error at affordable rates
    • U. FEIGE, J. KILIAN: Two prover protocols - low error at affordable rates, SIAM J. Comput., 30(1) (2000), 324-346.
    • (2000) SIAM J. Comput. , vol.30 , Issue.1 , pp. 324-346
    • Feige, U.1    Kilian, J.2
  • 14
    • 0028544648 scopus 로고
    • On the power of multi-prover interactive protocols
    • L. FORTNOW, J. ROMPEL, M. SIPSER: On the power of multi-prover interactive protocols, Theoretical Computer Science, 134(2) (1994), 545-557.
    • (1994) Theoretical Computer Science , vol.134 , Issue.2 , pp. 545-557
    • Fortnow, L.1    Rompel, J.2    Sipser, M.3
  • 16
    • 0024611659 scopus 로고
    • The knowledge complexity of interactive proof systems
    • S. GOLDWASSER, S. MICALI, C. RACKOFF: The knowledge complexity of interactive proof systems, SIAM J. Comp., 18(1) (1989), 186-208.
    • (1989) SIAM J. Comp. , vol.18 , Issue.1 , pp. 186-208
    • Goldwasser, S.1    Micali, S.2    Rackoff, C.3
  • 17
    • 0000610204 scopus 로고
    • A one-round, two-prover, zero-knowledge protocol for NP
    • D. LAPIDOT, A. SHAMIR: A one-round, two-prover, zero-knowledge protocol for NP, Combinatorica, 15(2) (1995), 203-214.
    • (1995) Combinatorica , vol.15 , Issue.2 , pp. 203-214
    • Lapidot, D.1    Shamir, A.2
  • 18
    • 0031122054 scopus 로고    scopus 로고
    • Fully parallelized multi prover protocols for NEXP-time
    • D. LAPIDOT, A. SHAMTR: Fully parallelized multi prover protocols for NEXP-time, Journal of Computer and System Sciences, 54(2) (1997), 215-220.
    • (1997) Journal of Computer and System Sciences , vol.54 , Issue.2 , pp. 215-220
    • Lapidot, D.1    Shamir, A.2
  • 19
    • 0028514351 scopus 로고
    • On the hardness of approximating minimization problems
    • C. LUND, M. YANNAKAKIS: On the hardness of approximating minimization problems, Journal of the ACM, 41(5) (1994), 960-981.
    • (1994) Journal of the ACM , vol.41 , Issue.5 , pp. 960-981
    • Lund, C.1    Yannakakis, M.2
  • 21
    • 0013334686 scopus 로고
    • On the maximum density of 0-1 matrices with no forbidden rectangles
    • D. PELEG: On the maximum density of 0-1 matrices with no forbidden rectangles, Discrete Mathematics, 140 (1995), 269-274.
    • (1995) Discrete Mathematics , vol.140 , pp. 269-274
    • Peleg, D.1
  • 22
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. RAZ: A parallel repetition theorem, SIAM J. Comput., 27(3) (1998), 763-803.
    • (1998) SIAM J. Comput. , vol.27 , Issue.3 , pp. 763-803
    • Raz, R.1
  • 23
    • 0030570117 scopus 로고    scopus 로고
    • Towards the parallel repetition conjecture
    • O. VERBITSKY: Towards the parallel repetition conjecture, Theoretical Computer Science, 157(2) (1996), 277-282.
    • (1996) Theoretical Computer Science , vol.157 , Issue.2 , pp. 277-282
    • Verbitsky, O.1
  • 25
    • 0013338566 scopus 로고    scopus 로고
    • Remarks on a query-based variant of the parallel repetition theorem
    • O. VERBITSKY: Remarks on a query-based variant of the parallel repetition theorem, International Journal of Foundations of Computer Science, 12(4) (2001), 517-532.
    • (2001) International Journal of Foundations of Computer Science , vol.12 , Issue.4 , pp. 517-532
    • Verbitsky, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.