-
1
-
-
0002970176
-
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
-
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
-
3
-
-
84880226003
-
A theorem on probabilistic constant depth computation. In ACM, editor
-
Washington, DC, April 30-May 2
-
M. Ajtai and M. Ben-Or. A theorem on probabilistic constant depth computation. In ACM, editor, Proceedings of the sixteenth annual ACM Symposium on Theory of Computing, Washington, DC, April 30-May 2, 1984, pages 471-474, 1984.
-
(1984)
Proceedings of the sixteenth annual ACM Symposium on Theory of Computing
, pp. 471-474
-
-
Ajtai, M.1
Ben-Or, M.2
-
4
-
-
0034865561
-
Time-space tradeoffs in the counting hierarchy
-
IEEE, June 18-21
-
E. Allender, M. Koucký, D. Ronneburger, S. Roy, and V. Vinay. Time-space tradeoffs in the counting hierarchy. In Proceedings of the Sixteenth Annual Conference on Computational Complexity, pages 295-302. IEEE, June 18-21 2001.
-
(2001)
Proceedings of the Sixteenth Annual Conference on Computational Complexity
, pp. 295-302
-
-
Allender, E.1
Koucký, M.2
Ronneburger, D.3
Roy, S.4
Vinay, V.5
-
5
-
-
84990678058
-
Simple constructions of almost k-wise independent random variables
-
N. Alon, O. Goldreich, J. Håstad, and R. Peralta. Simple constructions of almost k-wise independent random variables. Random Structures & Algorithms, 3(3):289-304, 1992.
-
(1992)
Random Structures & Algorithms
, vol.3
, Issue.3
, pp. 289-304
-
-
Alon, N.1
Goldreich, O.2
Håstad, J.3
Peralta, R.4
-
6
-
-
0003709395
-
-
Springer-Verlag New York, Inc, New York, NY, USA
-
J. L. Balcazar, J. Diaz, and J. Gabarro. Structural complexity Theory. Springer-Verlag New York, Inc., New York, NY, USA, 1988.
-
(1988)
Structural complexity Theory
-
-
Balcazar, J.L.1
Diaz, J.2
Gabarro, J.3
-
7
-
-
4243063946
-
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
-
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
-
10
-
-
0004116989
-
-
MIT Press, Cambridge, MA, second edition
-
T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein. Introduction to algorithms. MIT Press, Cambridge, MA, second edition, 2001.
-
(2001)
Introduction to algorithms
-
-
Cormen, T.H.1
Leiserson, C.E.2
Rivest, R.L.3
Stein, C.4
-
11
-
-
34250800420
-
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
-
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
-
13
-
-
33745197972
-
-
Available from
-
L. Fortnow, R. Lipton, D. van Melkebeek, and A. Vigias. Time-space lower bounds for satisfiability. To appear in Journal of the ACM, Available from http://www.cs.wisc.edu/~dieter/Research/sat-ts.html, 2005.
-
(2005)
To appear in Journal of the ACM, Time-space lower bounds for satisfiability
-
-
Fortnow, L.1
Lipton, R.2
van Melkebeek, D.3
Vigias, A.4
-
14
-
-
0002127588
-
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
-
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
-
-
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
-
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
-
-
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.
-
-
-
-
20
-
-
0028022375
-
Pseudorandomness for network algorithms
-
Montréal, Québec, Canada, 23-25 May
-
R. Impagliazzo, N. Nisan, and A. Wigderson. Pseudorandomness for network algorithms. In Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing, pages 356-364, Montréal, Québec, Canada, 23-25 May 1994.
-
(1994)
Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing
, pp. 356-364
-
-
Impagliazzo, R.1
Nisan, N.2
Wigderson, A.3
-
21
-
-
51249173945
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
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
-
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
-
34
-
-
34748826144
-
The round complexity of two-party random selection
-
New York, NY, USA, ACM Press
-
S. Sanghvi and S. Vadhan. The round complexity of two-party random selection. In STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing, pages 338-347, New York, NY, USA, 2005. ACM Press.
-
(2005)
STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
, pp. 338-347
-
-
Sanghvi, S.1
Vadhan, S.2
-
35
-
-
8344278749
-
-
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
-
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
-
-
26444585245
-
Time-space lower bounds for npcomplete problems
-
World Scientific
-
D. van Melkebeek. Time-space lower bounds for npcomplete problems. In Current Trends in Theoretical Computer Science, pages 265-291. World Scientific, 2004.
-
(2004)
Current Trends in Theoretical Computer Science
, pp. 265-291
-
-
van Melkebeek, D.1
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