ECCC
2011
13 years 11 months ago
2011
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
SIGACT
2010
14 years 2 months ago
2010
A fundamental question in complexity theory is whether every randomized polynomial time algorithm can be simulated by a deterministic polynomial time algorithm (that is, whether B...
DAGSTUHL
2007
14 years 5 months ago
2007
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
COCO
2008
Springer
14 years 6 months ago
2008
Springer
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant
COCO
2004
Springer
14 years 9 months ago
2004
Springer
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases:
PKC
2007
Springer
14 years 10 months ago
2007
Springer
Abstract. For RSA, May showed a deterministic polynomial time equivalence of computing d to factoring N(= pq). On the other hand, Takagi showed a variant of RSA such that the decry...
STOC
2002
ACM
15 years 4 months ago
2002
ACM
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant ? > 0 such that if there is some l...