메뉴 건너뛰기




Volumn 14, Issue 3, 2005, Pages 256-279

Derandomizing Arthur-Merlin games using hitting sets

Author keywords

Classes; Complexity; Derandomization; Graph nonisomorphism; Interactive proof systems

Indexed keywords


EID: 29144500344     PISSN: 10163328     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00037-005-0197-7     Document Type: Conference Paper
Times cited : (50)

References (50)
  • 1
    • 29144433291 scopus 로고    scopus 로고
    • Hitting properties of hard Boolean operators and their consequences on BPP
    • Technical Report TR96-055
    • A. E. ANDREEV, A. E. F. CLEMENTI & J. D. P. ROLIM (1996a). Hitting properties of hard Boolean operators and their consequences on BPP. Technical Report TR96-055, Electronic Colloquium on Computational Complexity. Available at http://www.eccc.uni-trier.de/eccc.
    • (1996) Electronic Colloquium on Computational Complexity
    • Andreev, A.E.1    Clementi, A.E.F.2    Rolim, J.D.P.3
  • 3
    • 84951167484 scopus 로고    scopus 로고
    • Worst-case hardness suffices for derandomization: A new method for hardness-randomness trade-offs
    • Lecture Notes in Comput. Sci. 1256, Springer
    • A. E. ANDREEV, A. E. F. CLEMENTI & J. D. P. ROLIM (1997a). Worst-case hardness suffices for derandomization: a new method for hardness-randomness trade-offs. In Proc. 24th International Colloquium on Automata, Languages and Programming, Lecture Notes in Comput. Sci. 1256, Springer, 177-187.
    • (1997) Proc. 24th International Colloquium on Automata, Languages and Programming , pp. 177-187
    • Andreev, A.E.1    Clementi, A.E.F.2    Rolim, J.D.P.3
  • 5
    • 0031677538 scopus 로고    scopus 로고
    • A new general derandomization method
    • A. E. ANDREEV, A. E. F. CLEMENTI & J. D. P. ROLIM (1998). A new general derandomization method. J. ACM 45, 179-213.
    • (1998) J. ACM , vol.45 , pp. 179-213
    • Andreev, A.E.1    Clementi, A.E.F.2    Rolim, J.D.P.3
  • 6
    • 0034909808 scopus 로고    scopus 로고
    • On pseudorandomness and resource-bounded measure
    • V. ARVIND & J. KÖBLER (2001). On pseudorandomness and resource-bounded measure. Theoret. Comput. Sci. 255, 205-221.
    • (2001) Theoret. Comput. Sci. , vol.255 , pp. 205-221
    • Arvind, V.1    Köbler, J.2
  • 8
    • 0001861880 scopus 로고
    • Bounded round interactive proofs in finite groups
    • L. BABAI (1992). Bounded round interactive proofs in finite groups. SIAM J. Discrete Math. 5, 88-111.
    • (1992) SIAM J. Discrete Math. , vol.5 , pp. 88-111
    • Babai, L.1
  • 10
    • 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
  • 13
    • 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
  • 16
    • 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
  • 17
    • 84874144431 scopus 로고    scopus 로고
    • One-sided versus two-sided error in probabilistic computation
    • Lecture Notes in Comput. Sci. 1563, Springer
    • H. BUHRMAN & L. FORTNOW (1999). One-sided versus two-sided error in probabilistic computation. In Proc. 16th Symposium on Theoretical Aspects of Computer Science, Lecture Notes in Comput. Sci. 1563, Springer, 100-109.
    • (1999) Proc. 16th Symposium on Theoretical Aspects of Computer Science , pp. 100-109
    • Buhrman, H.1    Fortnow, L.2
  • 20
    • 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
  • 21
    • 29144454915 scopus 로고    scopus 로고
    • Simplified derandomization of BPP using a hitting set generator
    • Technical Report TR00-004
    • O. GOLDREICH, S. VADHAN & A. WIGDERSON (2000). Simplified derandomization of BPP using a hitting set generator. Technical Report TR00-004. Electronic Colloquium on Computational Complexity. Available at http://www.eccc.uni-trier.de/eccc.
    • (2000) Electronic Colloquium on Computational Complexity
    • Goldreich, O.1    Vadhan, S.2    Wigderson, A.3
  • 22
    • 0001796243 scopus 로고
    • Private coins versus public coins in interactive proof systems
    • S. GOLDWASSER & M. SIPSER (1989). Private coins versus public coins in interactive proof systems. In: Advances in Computing Research 5, 73-90.
    • (1989) Advances in Computing Research , vol.5 , pp. 73-90
    • Goldwasser, S.1    Sipser, M.2
  • 25
    • 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. 65, 672-694.
    • (2002) J. Comput. System Sci. , vol.65 , pp. 672-694
    • Impagliazzo, R.1    Kabanets, V.2    Wigderson, A.3
  • 29
    • 0000152441 scopus 로고    scopus 로고
    • Easiness assumptions and hardness tests: Trading time for zero error
    • V. KABANETS (2001). Easiness assumptions and hardness tests: trading time for zero error. J. Comput. System Sci. 63, 236-252.
    • (2001) J. Comput. System Sci. , vol.63 , pp. 236-252
    • Kabanets, V.1
  • 30
    • 0036588881 scopus 로고    scopus 로고
    • Graph Nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • A. R. KLIVANS & D. VAN MELKEBEEK (2002). Graph Nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses. SIAM J. Comput. 31, 1501-1526.
    • (2002) SIAM J. Comput. , vol.31 , pp. 1501-1526
    • Klivans, A.R.1    Van Melkebeek, D.2
  • 31
    • 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
  • 32
    • 0011247859 scopus 로고    scopus 로고
    • Derandomizing Arthur-Merlin games
    • The University of Chicago, Department of Computer Science
    • D. VAN MELKEBEEK (1998). Derandomizing Arthur-Merlin games. Technical Report TR-98-08, The University of Chicago, Department of Computer Science.
    • (1998) Technical Report , vol.TR-98-08
    • Van Melkebeek, D.1
  • 33
    • 0032266122 scopus 로고    scopus 로고
    • Error correcting codes, perfect hashing circuits, and deterministic dynamic dictionaries
    • P. B. MILTERSEN (1998). Error correcting codes, perfect hashing circuits, and deterministic dynamic dictionaries. In Proc. 9th ACM-SIAM Symposium on Discrete Algorithms, 556-563.
    • (1998) Proc. 9th ACM-SIAM Symposium on Discrete Algorithms , pp. 556-563
    • Miltersen, P.B.1
  • 38
    • 0031654488 scopus 로고    scopus 로고
    • Explicit OR-dispersers with polylogarithmic degree
    • M. SAKS, A. SRINIVASAN & S. H. 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.H.3
  • 42
    • 29144532512 scopus 로고    scopus 로고
    • Pseudorandomness for approximate counting and sampling
    • Technical Report TR04-84
    • R. SHALTIEL & C. UMANS (2004). Pseudorandomness for approximate counting and sampling. Technical Report TR04-84, Electronic Colloquium on Computational Complexity. Available at http://www.eccc.uni-trier.de/eccc.
    • (2004) Electronic Colloquium on Computational Complexity
    • Shaltiel, R.1    Umans, C.2
  • 43
    • 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
  • 45
    • 0036435072 scopus 로고    scopus 로고
    • Almost optimal dispersers
    • A. TA-SHMA (2002). Almost optimal dispersers. Combinatorica 22, 123-145.
    • (2002) Combinatorica , vol.22 , pp. 123-145
    • Ta-Shma, A.1
  • 47
    • 0005314594 scopus 로고    scopus 로고
    • Extractors and pseudorandom generators
    • L. TREVISAN (2001). Extractors and pseudorandom generators. J. ACM 48, 860-879.
    • (2001) J. ACM , vol.48 , pp. 860-879
    • Trevisan, L.1
  • 48
    • 0142027847 scopus 로고    scopus 로고
    • Pseudo-random, generators for all hardnesses
    • C. UMANS (2003). Pseudo-random, generators for all hardnesses. J. Comput. System Sci. 67, 419-440.
    • (2003) J. Comput. System Sci. , vol.67 , pp. 419-440
    • Umans, C.1
  • 49
    • 0020828350 scopus 로고
    • Relativized circuit complexity
    • C. B. WILSON (1985). Relativized circuit complexity. J. Comput. System Sci. 31, 169-181.
    • (1985) J. Comput. System Sci. , vol.31 , pp. 169-181
    • Wilson, C.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.