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» On Superlinear Lower Bounds in Complexity Theory
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CIE
2006
Springer
13 years 11 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
LATIN
1998
Springer
13 years 11 months ago
The CREW PRAM Complexity of Modular Inversion
One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
Joachim von zur Gathen, Igor Shparlinski
CORR
2008
Springer
101views Education» more  CORR 2008»
13 years 7 months ago
Sublinear Communication Protocols for Multi-Party Pointer Jumping and a Related Lower Bound
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
Joshua Brody, Amit Chakrabarti
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 8 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy