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Volumn , Issue , 2007, Pages 155-168

On approximate majority and probabilistic time

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SEQUENCES; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; POLYNOMIAL APPROXIMATION; PROBABILISTIC LOGICS; PROBLEM SOLVING; THEOREM PROVING;

EID: 34748879612     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2007.16     Document Type: Conference Paper
Times cited : (11)

References (40)
  • 1
    • 0002970176 scopus 로고
    • 1-formulae on finite structures
    • 1-formulae on finite structures. Ann. Pure Appl. Logic, 24(1):1-48, 1983.
    • (1983) Ann. Pure Appl. Logic , vol.24 , Issue.1 , pp. 1-48
    • Ajtai, M.1
  • 2
    • 0042419955 scopus 로고
    • Approximate counting with uniform constantdepth circuits
    • New Brunswick, NJ, Amer. Math. Soc, Providence, RI
    • M. Ajtai. Approximate counting with uniform constantdepth circuits. In Advances in computational complexity theory (New Brunswick, NJ, 1990), pages 1-20. Amer. Math. Soc., Providence, RI, 1993.
    • (1990) Advances in computational complexity theory , pp. 1-20
    • Ajtai, M.1
  • 7
    • 4243063946 scopus 로고    scopus 로고
    • Time-space trade-off lower bounds for randomized computation of decision problems
    • electronic
    • P. Beame, M. Saks, X. Sun, and E. Vee. Time-space trade-off lower bounds for randomized computation of decision problems. J ACM, 50(2): 154-195 (electronic), 2003.
    • (2003) J ACM , vol.50 , Issue.2 , pp. 154-195
    • Beame, P.1    Saks, M.2    Sun, X.3    Vee, E.4
  • 8
    • 0000560640 scopus 로고    scopus 로고
    • More on BPP and the polynomial-time hierarchy
    • R. Canetti. More on BPP and the polynomial-time hierarchy. Inform. Process. Lett., 57(5):237-241, 1996.
    • (1996) Inform. Process. Lett , vol.57 , Issue.5 , pp. 237-241
    • Canetti, R.1
  • 11
    • 34250800420 scopus 로고    scopus 로고
    • Time-space lower bounds for the polynomial-time hierarchy on randomized machines
    • S. Diehl and D. van Melkebeek. Time-space lower bounds for the polynomial-time hierarchy on randomized machines. SIAM J. Comput., 36(3):563-594, 2006.
    • (2006) SIAM J. Comput , vol.36 , Issue.3 , pp. 563-594
    • Diehl, S.1    van Melkebeek, D.2
  • 12
    • 0021420540 scopus 로고
    • The complexity of promise problems with applications to public-key cryptography
    • S. Even, A. L. Selman, and Y. Yacobi. The complexity of promise problems with applications to public-key cryptography. Inform. and Control, 61 (2): 159-173, 1984.
    • (1984) Inform. and Control , vol.61 , Issue.2 , pp. 159-173
    • Even, S.1    Selman, A.L.2    Yacobi, Y.3
  • 14
    • 0002127588 scopus 로고
    • Parity, circuits, and the polynomial-time hierarchy
    • April
    • M. L. Furst, J. B. Saxe, and M. Sipser. Parity, circuits, and the polynomial-time hierarchy. Mathematical Systems Theory, 17(1):13-27, April 1984.
    • (1984) Mathematical Systems Theory , vol.17 , Issue.1 , pp. 13-27
    • Furst, M.L.1    Saxe, J.B.2    Sipser, M.3
  • 15
    • 0000871697 scopus 로고
    • Explicit constructions of linear size superconcentrators
    • O. Gabber and Z. Galil. Explicit constructions of linear size superconcentrators. Journal of Computer and System Sciences, 22:407-420, 1981.
    • (1981) Journal of Computer and System Sciences , vol.22 , pp. 407-420
    • Gabber, O.1    Galil, Z.2
  • 16
    • 0000646152 scopus 로고    scopus 로고
    • D. Gillman. A Chernoff bound for random walks on expander graphs. SIAM J. Comput., 27(4): 1203-1220 (electronic), 1998.
    • D. Gillman. A Chernoff bound for random walks on expander graphs. SIAM J. Comput., 27(4): 1203-1220 (electronic), 1998.
  • 17
    • 0011247227 scopus 로고    scopus 로고
    • Modern cryptography, probabilistic proofs and pseudorandomness
    • of, Springer-Verlag, Berlin
    • O. Goldreich. Modern cryptography, probabilistic proofs and pseudorandomness, volume 17 of Algorithms and Combinatorics. Springer-Verlag, Berlin, 1999.
    • (1999) Algorithms and Combinatorics , vol.17
    • Goldreich, O.1
  • 18
    • 34748812470 scopus 로고    scopus 로고
    • O. Goldreich and D. Zuckerman. Another proof that BPP C PH (and more). Electronic Colloquium on Computational Complexity, Technical Report TR97-045, September 1997. http://www.eccc.uni-trier.de/eccc.
    • O. Goldreich and D. Zuckerman. Another proof that BPP C PH (and more). Electronic Colloquium on Computational Complexity, Technical Report TR97-045, September 1997. http://www.eccc.uni-trier.de/eccc.
  • 21
    • 51249173945 scopus 로고
    • Expanders obtained from affine transformations
    • S. Jimbo and A. Maruoka. Expanders obtained from affine transformations. Combinatorica, 7(4):343-355, 1987.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 343-355
    • Jimbo, S.1    Maruoka, A.2
  • 22
    • 84976736925 scopus 로고
    • Eigenvalues and expansion of regular graphs
    • N. Kahale. Eigenvalues and expansion of regular graphs. J. Assoc. Comput. Mach., 42(5): 1091-1106, 1995.
    • (1995) J. Assoc. Comput. Mach , vol.42 , Issue.5 , pp. 1091-1106
    • Kahale, N.1
  • 24
    • 0021098038 scopus 로고
    • BPP and the polynomial hierarchy
    • C. Lautemann. BPP and the polynomial hierarchy. Inform. Process. Lett., 17(4):215-217, 1983.
    • (1983) Inform. Process. Lett , vol.17 , Issue.4 , pp. 215-217
    • Lautemann, C.1
  • 25
    • 0023288434 scopus 로고
    • Speed-up of Turing machines with one work tape and a two-way input tape
    • W. Maass and A. Schorr. Speed-up of Turing machines with one work tape and a two-way input tape. SIAM J. Comput., 16(1):195-202, 1987.
    • (1987) SIAM J. Comput , vol.16 , Issue.1 , pp. 195-202
    • Maass, W.1    Schorr, A.2
  • 26
    • 0015670043 scopus 로고
    • Explicit construction of concentrator
    • G. A. Margulis. Explicit construction of concentrator. Problems Inform. Transmission, 9:325-332, 1973.
    • (1973) Problems Inform. Transmission , vol.9 , pp. 325-332
    • Margulis, G.A.1
  • 28
    • 0000496365 scopus 로고
    • Rudimentary predicates and turing calculations
    • V. A. Nepomnjaščiǐ. Rudimentary predicates and turing calculations. Soviet Mathematics-Doklady, 11 (6): 1462-1465, 1970.
    • (1970) Soviet Mathematics-Doklady , vol.11 , Issue.6 , pp. 1462-1465
    • Nepomnjaščiǐ, V.A.1
  • 29
    • 0000947929 scopus 로고
    • Pseudorandom generators for space-bounded computation
    • N. Nisan. Pseudorandom generators for space-bounded computation. Combinatorica, 12(4):449-461, 1992.
    • (1992) Combinatorica , vol.12 , Issue.4 , pp. 449-461
    • Nisan, N.1
  • 30
    • 38249006948 scopus 로고    scopus 로고
    • N. Nisan. On read-once vs. multiple access to randomness in logspace. Theoret. Comput Sci., 107(1):135-144, 1993. Structure in complexity theory (Barcelona, 1990).
    • N. Nisan. On read-once vs. multiple access to randomness in logspace. Theoret. Comput Sci., 107(1):135-144, 1993. Structure in complexity theory (Barcelona, 1990).
  • 33
    • 0032356378 scopus 로고    scopus 로고
    • Symmetric alternation captures BPP
    • A. Russell and R. Sundaram. Symmetric alternation captures BPP. Comput. Complexity, 7(2): 152-162, 1998.
    • (1998) Comput. Complexity , vol.7 , Issue.2 , pp. 152-162
    • Russell, A.1    Sundaram, R.2
  • 35
    • 8344278749 scopus 로고    scopus 로고
    • N. Segerlind, S. Buss, and R. Impagliazzo. A switching lemma for small restrictions and lower bounds for k-DNF resolution. SIAM J. Comput., 33(5):1171-1200 (electronic), 2004.
    • N. Segerlind, S. Buss, and R. Impagliazzo. A switching lemma for small restrictions and lower bounds for k-DNF resolution. SIAM J. Comput., 33(5):1171-1200 (electronic), 2004.
  • 37
    • 0000787513 scopus 로고
    • On approximation algorithms for #P
    • Nov
    • L. Stockmeyer. On approximation algorithms for #P. SIAM J on Computing, 14(4):849-861, Nov. 1985.
    • (1985) SIAM J on Computing , vol.14 , Issue.4 , pp. 849-861
    • Stockmeyer, L.1
  • 38


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.