-
2
-
-
0002127588
-
Parity, circuits, and the polynomialtime hierarchy
-
L. FURST, J. B. SAXE & M. SIPSER (1987). Parity, circuits, and the polynomialtime hierarchy. Mathematical Systems Theory 17(1), 13-27.
-
(1987)
Mathematical Systems Theory
, vol.17
, Issue.1
, pp. 13-27
-
-
FURST, L.1
SAXE, J.B.2
SIPSER, M.3
-
4
-
-
0033699197
-
Exponential lower bounds for depth 3 arithmetic circuits in algebras of functions over finite fields
-
GRIGORIEV & A. A. RAZBOROV (2000). Exponential lower bounds for depth 3 arithmetic circuits in algebras of functions over finite fields. Appl. Algebra Eng. Commun. Comput. 10(6), 465-487.
-
(2000)
Appl. Algebra Eng. Commun. Comput
, vol.10
, Issue.6
, pp. 465-487
-
-
GRIGORIEV1
RAZBOROV, A.A.2
-
6
-
-
0039648502
-
Lower bounds on arithmetic circuits via partial derivatives
-
ISSN 1016-3328
-
N. NLSAN & A. WIGDERSON (1997). Lower bounds on arithmetic circuits via partial derivatives. Comput. Complex. 6(3), 217-234. ISSN 1016-3328.
-
(1997)
Comput. Complex
, vol.6
, Issue.3
, pp. 217-234
-
-
NLSAN, N.1
WIGDERSON, A.2
-
7
-
-
4544258177
-
Multi-linear formulas for permanent and determinant are of superpolynomial size
-
ACM, New York, NY, USA. ISBN 1-58113-852-0
-
R. RAZ (2004). Multi-linear formulas for permanent and determinant are of superpolynomial size. In STOC '04: Proceedings of the Thirty-sixth Annual ACM Symposium on Theory of Computing, 633-641. ACM, New York, NY, USA. ISBN 1-58113-852-0.
-
(2004)
STOC '04: Proceedings of the Thirty-sixth Annual ACM Symposium on Theory of Computing
, pp. 633-641
-
-
RAZ, R.1
-
8
-
-
52949134556
-
Separation of multilinear circuit and formula size
-
URL
-
R. RAZ (2006). Separation of multilinear circuit and formula size. Theory of Computing 2(1), 121-135. URL http ://www.theoryofcomputing.org/articles/main/ v002/a006.
-
(2006)
Theory of Computing
, vol.2
, Issue.1
, pp. 121-135
-
-
RAZ, R.1
-
9
-
-
57049112766
-
Elusive functions and lower bounds for arithmetic circuits
-
ACM, New York, NY, USA. ISBN 978-1-60558-047-0
-
R. RAZ (2008). Elusive functions and lower bounds for arithmetic circuits. In STOC '08: Proceedings of the 40th Annual ACM Symposium on Theory of Computing, 711-720. ACM, New York, NY, USA. ISBN 978-1-60558-047-0.
-
(2008)
STOC '08: Proceedings of the 40th Annual ACM Symposium on Theory of Computing
, pp. 711-720
-
-
RAZ, R.1
-
10
-
-
46749150631
-
A lower bound for the size of syntactically multilinear arithmetic circuits
-
IEEE Computer Society, Washington, DC, USA. ISBN 0-7695-3010-9
-
R. RAZ, A. SHPILKA & A. YEHUDAYOPF (2007). A lower bound for the size of syntactically multilinear arithmetic circuits. In Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, 438-448. IEEE Computer Society, Washington, DC, USA. ISBN 0-7695-3010-9.
-
(2007)
Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
, pp. 438-448
-
-
RAZ, R.1
SHPILKA, A.2
YEHUDAYOPF, A.3
-
11
-
-
57349190039
-
Balancing syntactically multilinear arithmetic circuits
-
ISSN 1016-3328
-
R. RAZ & A. YEHUDAYOFF (2008). Balancing syntactically multilinear arithmetic circuits. Comput. Complex.. 17(4), 515-535. ISSN 1016-3328.
-
(2008)
Comput. Complex
, vol.17
, Issue.4
, pp. 515-535
-
-
RAZ, R.1
YEHUDAYOFF, A.2
-
12
-
-
26944478724
-
Lower bounds for the size of circuits of bounded depth with basis {⊕, ∧}. Math
-
A. RAZBOROV (1987). Lower bounds for the size of circuits of bounded depth with basis {⊕, ∧}. Math. Notes of the Academy of Sciences of the USSR 41, 333-338.
-
(1987)
Notes of the Academy of Sciences of the USSR
, vol.41
, pp. 333-338
-
-
RAZBOROV, A.1
-
13
-
-
0026387625
-
Lower bounds for polynomial evaluation and interpolation problems
-
IEEE Computer Society Press, Los Alamitos, CA, USA. ISBN 0-8186-2445-0
-
SHOUP & R. SMOLENSKY (1991). Lower bounds for polynomial evaluation and interpolation problems. In Proceedings of the 32nd Annual Symposium on Foundations of Computer Science, 378-383. IEEE Computer Society Press, Los Alamitos, CA, USA. ISBN 0-8186-2445-0.
-
(1991)
Proceedings of the 32nd Annual Symposium on Foundations of Computer Science
, pp. 378-383
-
-
SHOUP1
SMOLENSKY, R.2
-
14
-
-
0032644925
-
Depth-3 arithmetic formulae over fields of characteristic zero
-
IEEE Computer Society, Washington, DC, USA. ISBN 0-7695-0075-7
-
A. SHPILKA & A. WLGDERSON (1999). Depth-3 arithmetic formulae over fields of characteristic zero. In Proceedings of the Fourteenth Annual IEEE Conference on Computational Complexity, 87. IEEE Computer Society, Washington, DC, USA. ISBN 0-7695-0075-7.
-
(1999)
Proceedings of the Fourteenth Annual IEEE Conference on Computational Complexity
, vol.87
-
-
SHPILKA, A.1
WLGDERSON, A.2
-
15
-
-
0023570259
-
Algebraic methods in the theory of lower bounds for Boolean circuit complexity
-
ACM, New York, NY, USA. ISBN 0-89791-221-7
-
R. SMOLENSKY (1987). Algebraic methods in the theory of lower bounds for Boolean circuit complexity. In STOC '87: Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing, 77-82. ACM, New York, NY, USA. ISBN 0-89791-221-7.
-
(1987)
STOC '87: Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing
, pp. 77-82
-
-
SMOLENSKY, R.1
-
16
-
-
0022201594
-
Separating the polynomial-time hierarchy by oracles
-
IEEE Press, Piscataway, NJ, USA. ISBN 0-8186-0644-4
-
A. C.-C. YAO (1985). Separating the polynomial-time hierarchy by oracles. In Proc. 26th Annual Symposium on Foundations of Computer Science, 1-10. IEEE Press, Piscataway, NJ, USA. ISBN 0-8186-0644-4.
-
(1985)
Proc. 26th Annual Symposium on Foundations of Computer Science
, pp. 1-10
-
-
YAO, A.C.-C.1
|