메뉴 건너뛰기




Volumn 12, Issue 3-4, 2003, Pages 85-130

Uniform hardness versus randomness tradeoffs for Arthur-Merlin games

Author keywords

Arthur Merlin games; Derandomization

Indexed keywords


EID: 4744337602     PISSN: 10163328     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00037-003-0178-7     Document Type: Article
Times cited : (40)

References (46)
  • 1
    • 0026172266 scopus 로고
    • Statistical zero-knowledge languages can be recognized in two rounds
    • W. AIELLO & J. HÅSTAD (1991). Statistical zero-knowledge languages can be recognized in two rounds. J. Comput. System Sci. 42, 327-345.
    • (1991) J. Comput. System Sci. , vol.42 , pp. 327-345
    • Aiello, W.1    Håstad, J.2
  • 2
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • S. ARORA & S. SAFRA (1998). Probabilistic checking of proofs: A new characterization of NP. J. ACM 45, 70-122.
    • (1998) J. ACM , vol.45 , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 5
    • 0002771903 scopus 로고
    • Nondeterministic exponential time has two-prover interactive protocols
    • L. BABAI, L. FORTNOW & C. LUND (1991b). Nondeterministic exponential time has two-prover interactive protocols. Comput. Complexity 1, 3-40.
    • (1991) Comput. Complexity , vol.1 , pp. 3-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 6
    • 0001338853 scopus 로고
    • BPP has subexponential time simulations unless exptime has publishable proofs
    • L. BABAI, L. FORTNOW, N. NISAN & A. WIGDERSON (1993). BPP has subexponential time simulations unless exptime has publishable proofs. Comput. Complexity 3, 307-318.
    • (1993) Comput. Complexity , vol.3 , pp. 307-318
    • Babai, L.1    Fortnow, L.2    Nisan, N.3    Wigderson, A.4
  • 7
    • 0023995534 scopus 로고
    • Arthur-Merlin games: A randomized proof system and a hierarchy of complexity classes
    • L. BABAI & S. MORAN (1988). Arthur-Merlin games: A randomized proof system and a hierarchy of complexity classes. J. Comput. System Sci. 36, 254-276.
    • (1988) J. Comput. System Sci. , vol.36 , pp. 254-276
    • Babai, L.1    Moran, S.2
  • 9
    • 0029214558 scopus 로고
    • Designing programs that check their work
    • M. BLUM & S. KANNAN (1995). Designing programs that check their work. J. ACM 42, 269-291.
    • (1995) J. ACM , vol.42 , pp. 269-291
    • Blum, M.1    Kannan, S.2
  • 10
    • 0021522644 scopus 로고
    • How to generate cryptographically strong sequences of pseudo-random bits
    • M. BLUM & S. MICALI (1984). How to generate cryptographically strong sequences of pseudo-random bits. SIAM J. Comput. 13, 850-864.
    • (1984) SIAM J. Comput. , vol.13 , pp. 850-864
    • Blum, M.1    Micali, S.2
  • 11
    • 0011181168 scopus 로고
    • A note on matrix rigidity
    • Department of Computer Science, Princeton Univ
    • J. FRIEDMAN (1990). A note on matrix rigidity. Technical Report TR-308-91, Department of Computer Science, Princeton Univ.
    • (1990) Technical Report , vol.TR-308-91
    • Friedman, J.1
  • 14
    • 71149116146 scopus 로고
    • Proofs that yield nothing but their validity, or all languages in NP have zero-knowledge proof systems
    • O. GOLDREICH, S. MICALI & A. WIGDERSON (1991). Proofs that yield nothing but their validity, or All languages in NP have zero-knowledge proof systems. J. ACM 38, 691-729.
    • (1991) J. ACM , vol.38 , pp. 691-729
    • Goldreich, O.1    Micali, S.2    Wigderson, A.3
  • 15
    • 0003251137 scopus 로고    scopus 로고
    • Another proof that BPP ⊆ PH (and more)
    • Electronic Colloquium on Computational Complexity
    • O. GOLDREICH & D. ZUCKERMAN (1997). Another proof that BPP ⊆ PH (and more). Technical Report TR97-045, Electronic Colloquium on Computational Complexity.
    • (1997) Technical Report , vol.TR97-045
    • Goldreich, O.1    Zuckerman, D.2
  • 17
    • 23844442856 scopus 로고    scopus 로고
    • In search of an easy witness: Exponential time vs. probabilistic polynomial time
    • R. IMPAGLIAZZO, V. KABANETS & A. WIGDERSON (2002). In search of an easy witness: Exponential time vs. probabilistic polynomial time. J. Comput. System Sci. 64, 672-694.
    • (2002) J. Comput. System Sci. , vol.64 , pp. 672-694
    • Impagliazzo, R.1    Kabanets, V.2    Wigderson, A.3
  • 25
    • 0032631765 scopus 로고    scopus 로고
    • Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • A. R. KLIVANS & D. VAN MELKEBEEK (1999). Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses. In Proc. 31st Annual ACM Symposium on Theory of Computing, 659-667.
    • (1999) Proc. 31st Annual ACM Symposium on Theory of Computing , pp. 659-667
    • Klivans, A.R.1    Van Melkebeek, D.2
  • 26
    • 0035739774 scopus 로고    scopus 로고
    • Derandomizing Arthur-Merlin games under uniform assumptions
    • C. J. LU (2001). Derandomizing Arthur-Merlin games under uniform assumptions. Comput. Complexity 10, 247-259.
    • (2001) Comput. Complexity , vol.10 , pp. 247-259
    • Lu, C.J.1
  • 29
    • 0033075850 scopus 로고    scopus 로고
    • Extracting randomness: A survey and new constructions
    • N. NISAN & A. TA-SHMA (1999). Extracting randomness: a survey and new constructions. J. Comput. System Sci. 58, 148-173.
    • (1999) J. Comput. System Sci. , vol.58 , pp. 148-173
    • Nisan, N.1    Ta-Shma, A.2
  • 34
    • 0031654488 scopus 로고    scopus 로고
    • Explicit OR-dispersers with polylogarithmic degree
    • M. SAKS, A. SRINIVASAN & S. ZHOU (1998). Explicit OR-dispersers with polylogarithmic degree. J. ACM 45, 123-154.
    • (1998) J. ACM , vol.45 , pp. 123-154
    • Saks, M.1    Srinivasan, A.2    Zhou, S.3
  • 35
    • 0024478681 scopus 로고
    • Relativized Arthur-Merlin versus Merlin-Arthur games
    • M. SANTHA (1989). Relativized Arthur-Merlin versus Merlin-Arthur games. Inform. and Comput. 80, 44-49.
    • (1989) Inform. and Comput. , vol.80 , pp. 44-49
    • Santha, M.1
  • 36
    • 0012579059 scopus 로고    scopus 로고
    • Recent developments in explicit constructions of extractors
    • R. SHALTIEL (2002). Recent developments in explicit constructions of extractors. Bull. Eur. Assoc. Theor. Comput. Sci. 77, 67-95.
    • (2002) Bull. Eur. Assoc. Theor. Comput. Sci. , vol.77 , pp. 67-95
    • Shaltiel, R.1
  • 38
    • 0024019629 scopus 로고
    • Expanders, randomness, or time versus space
    • M. SIPSER (1988). Expanders, randomness, or time versus space. J. Comput. System Sci. 36, 379-383.
    • (1988) J. Comput. System Sci. , vol.36 , pp. 379-383
    • Sipser, M.1
  • 44
    • 4744351169 scopus 로고    scopus 로고
    • Personal communication
    • C. UMANS (2003). Personal communication.
    • (2003)
    • Umans, C.1
  • 45


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.