메뉴 건너뛰기




Volumn , Issue , 2004, Pages 192-201

Using nondeterminism to amplify hardness

Author keywords

Average case complexity; Hardness amplification; Noise stability; Pseudorandom generators for space bounded computation

Indexed keywords

AMPLIFICATION; FUNCTION EVALUATION; HARDNESS; NETWORKS (CIRCUITS); POLYNOMIALS; STABILITY;

EID: 4544286907     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1007352.1007389     Document Type: Conference Paper
Times cited : (16)

References (27)
  • 1
    • 0004068238 scopus 로고    scopus 로고
    • Dover Publications Inc., Mineola. NY. Corrected reprint of the 1989 edition
    • Ian Anderson. Combinatorics of finite sets. Dover Publications Inc., Mineola. NY, 2002. Corrected reprint of the 1989 edition.
    • (2002) Combinatorics of Finite Sets
    • Anderson, I.1
  • 2
    • 0002771903 scopus 로고
    • Nondeterministic exponential time has two-prover interactive protocols
    • László Babai, Lance Fortnow, and Carsten Lund. Nondeterministic exponential time has two-prover interactive protocols. Computational Complexity, 1(1):3-40, 1991.
    • (1991) Computational Complexity , vol.1 , Issue.1 , pp. 3-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 4
    • 0002897287 scopus 로고
    • Collective coin-flipping
    • Silvio Micali, editor. Academic Press, New York
    • Michael Ben-Or and Nathan Linial. Collective coin-flipping. In Silvio Micali, editor, Randomness and Computation, pages 91-115. Academic Press, New York, 1990.
    • (1990) Randomness and Computation , pp. 91-115
    • Ben-Or, M.1    Linial, N.2
  • 5
    • 84943406463 scopus 로고    scopus 로고
    • On worst-case to average-case reductions for NP problems
    • Cambridge, Massachusetts, 11-14 October
    • Andrej Bogdanov and Luca Trevisan. On worst-case to average-case reductions for NP problems. In Proceedings of 44th FOCS, Cambridge, Massachusetts, 11-14 October 2003.
    • (2003) Proceedings of 44th FOCS
    • Bogdanov, A.1    Trevisan, L.2
  • 7
    • 0039015429 scopus 로고    scopus 로고
    • On the hardness of computing the permanent of random matrices
    • Uriel Feige and Garsten Lund. On the hardness of computing the permanent of random matrices. Computational Complexity, 6(2):101-132, 1996.
    • (1996) Computational Complexity , vol.6 , Issue.2 , pp. 101-132
    • Feige, U.1    Lund, G.2
  • 8
    • 0027684980 scopus 로고
    • Random-self-reducibility of complete sets
    • October
    • Joan Feigenbaum and Lance Fortnow. Random-self-reducibility of complete sets. SIAM J. on Computing, 22(5):994-1005, October 1993.
    • (1993) SIAM J. on Computing , vol.22 , Issue.5 , pp. 994-1005
    • Feigenbaum, J.1    Fortnow, L.2
  • 9
    • 0024868772 scopus 로고
    • A hard-core predicate for all one-way functions
    • Seattle, Washington, 15-17 May
    • Oded Goldreich and Leonid A. Levin. A hard-core predicate for all one-way functions. In Proceedings of 21st STOC, pages 25-32, Seattle, Washington, 15-17 May 1989.
    • (1989) Proceedings of 21st STOC , pp. 25-32
    • Goldreich, O.1    Levin, L.A.2
  • 10
    • 2442638659 scopus 로고
    • On Yao's XOR lemma
    • Electronic Colloquium on Computational Complexity, March
    • Oded Goldreich, Noam Nisan, and Avi Wigderson. On Yao's XOR lemma. Technical Report TR95-050, Electronic Colloquium on Computational Complexity, March 1995. http://www.eccc.uni-trier.de/eccc.
    • (1995) Technical Report , vol.TR95-050
    • Goldreich, O.1    Nisan, N.2    Wigderson, A.3
  • 11
    • 0029516814 scopus 로고
    • Hard-core distributions for somewhat hard, problems
    • Milwaukee, Wisconsin, 23-25 October. IEEE
    • Russell Impagliazzo. Hard-core distributions for somewhat hard, problems. In Proceedings of 36th FOCS, pages 538-545, Milwaukee, Wisconsin, 23-25 October 1995. IEEE.
    • (1995) Proceedings of 36th FOCS , pp. 538-545
    • Impagliazzo, R.1
  • 12
    • 0028022375 scopus 로고
    • Pseudorandomness for network algorithms
    • Montréal, Québec, Canada, 23-25 May
    • Russell Impagliazzo, Noam Nisan, and Avi Wigderson. Pseudorandomness for network algorithms. In Proceedings of 26th STOC, pages 356-364, Montréal, Québec, Canada, 23-25 May 1994.
    • (1994) Proceedings of 26th STOC , pp. 356-364
    • Impagliazzo, R.1    Nisan, N.2    Wigderson, A.3
  • 13
    • 0030706544 scopus 로고    scopus 로고
    • P = BPP if E requires exponential circuits: Derandomizing the XOR lemma
    • El Paso, Texas, 4-6 May
    • Russell Impagliazzo and Avi Wigderson. P = BPP if E requires exponential circuits: Derandomizing the XOR lemma. In Proceedings of 29th STOC, pages 220-229, El Paso, Texas, 4-6 May 1997.
    • (1997) Proceedings of 29th STOC , pp. 220-229
    • Impagliazzo, R.1    Wigderson, A.2
  • 14
    • 0032314332 scopus 로고    scopus 로고
    • Randomness vs. time: De-randomization under a uniform assumption
    • Palo Alto, CA, November 8-11. IEEE
    • Russell Impagliazzo and Avi Wigderson. Randomness vs. time: De-randomization under a uniform assumption. In Proceedings of 36th FOCS, Palo Alto, CA, November 8-11 1998. IEEE.
    • (1998) Proceedings of 36th FOCS
    • Impagliazzo, R.1    Wigderson, A.2
  • 15
    • 0024140061 scopus 로고
    • The influence of variables on Boolean functions
    • White Plains, New York, 24-26 October. IEEE
    • Jeff Kahn, Gil Kalai, and Nathan Linial. The influence of variables on Boolean functions (extended abstract). In Proceedings of 29th FOCS, pages 68-80, White Plains, New York, 24-26 October 1988. IEEE.
    • (1988) Proceedings of 29th FOCS , pp. 68-80
    • Kahn, J.1    Kalai, G.2    Linial, N.3
  • 16
    • 0038290332 scopus 로고    scopus 로고
    • Boosting and hard-core sets
    • Adam Klivans and Rocco A. Servedio. Boosting and hard-core sets. Machine Learning, 53(3):217-238, 2003.
    • (2003) Machine Learning , vol.53 , Issue.3 , pp. 217-238
    • Klivans, A.1    Servedio, R.A.2
  • 19
    • 0000947929 scopus 로고
    • Pseudorandom generators for space-bounded computation
    • Nisan. Pseudorandom generators for space-bounded computation. Combinatorica, 12, 1992.
    • (1992) Combinatorica , vol.12
    • Nisan1
  • 20
    • 0008827213 scopus 로고
    • Pseudorandom bits for constant depth circuits
    • Noam Nisan. Pseudorandom bits for constant depth circuits. Combinatorica, 11(1):63-70, 1991.
    • (1991) Combinatorica , vol.11 , Issue.1 , pp. 63-70
    • Nisan, N.1
  • 22
    • 0036038650 scopus 로고    scopus 로고
    • Hardness amplification within NP
    • ACM, May
    • Ryan O'Donnell. Hardness amplification within NP. In Proceedings of 34th STOC, pages 751-760. ACM, May 2002.
    • (2002) Proceedings of 34th STOC , pp. 751-760
    • O'Donnell, R.1
  • 23
    • 0035276434 scopus 로고    scopus 로고
    • Pseudorandom generators without the XOR lemma
    • Special issue on the Fourteenth Annual IEEE Conference on Computational Complexity (Atlanta, GA, 1999)
    • Madhu Sudan, Luca Trevisan, and Salil Vadhan. Pseudorandom generators without the XOR lemma. J. Comput. System Sci., 62(2):236-266, 2001. Special issue on the Fourteenth Annual IEEE Conference on Computational Complexity (Atlanta, GA, 1999).
    • (2001) J. Comput. System Sci. , vol.62 , Issue.2 , pp. 236-266
    • Sudan, M.1    Trevisan, L.2    Vadhan, S.3
  • 24
    • 84943382380 scopus 로고    scopus 로고
    • List decoding using the XOR lemma
    • Cambridge, Massachusetts, 11-14 October
    • Luca Trevisan. List decoding using the XOR lemma. In Proceedings of 44th FOCS, Cambridge, Massachusetts, 11-14 October 2003.
    • (2003) Proceedings of 44th FOCS
    • Trevisan, L.1
  • 26
    • 84862434391 scopus 로고    scopus 로고
    • The complexity of constructing pseudorandom generators from hard functions
    • Electronic Colloquium on Computational Complexity, Preliminary version titled 'Hardness vs. Randomness within Alternating Time', in Eighteenth Annual IEEE Conference on Computational Complexity
    • Emanuele Viola. The complexity of constructing pseudorandom generators from hard functions, Technical report, Electronic Colloquium on Computational Complexity, 2004. http://www.eccc.uni-trier.de/eccc. Preliminary version titled 'Hardness vs. Randomness within Alternating Time', in Eighteenth Annual IEEE Conference on Computational Complexity.
    • (2004) Technical Report
    • Viola, E.1
  • 27
    • 0020301290 scopus 로고
    • Theory and applications of trapdoor functions
    • Chicago, Illinois, 3-5 November. IEEE
    • Andrew C. Yao. Theory and applications of trapdoor functions (extended abstract). In Proceedings of 23rd FOCS, pages 80-91, Chicago, Illinois, 3-5 November 1982. IEEE.
    • (1982) Proceedings of 23rd FOCS , pp. 80-91
    • Yao, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.