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SIAMCOMP
2010
147views more  SIAMCOMP 2010»
14 years 10 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
14 years 10 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
SIAMCOMP
2010
83views more  SIAMCOMP 2010»
14 years 10 months ago
Reaching and Distinguishing States of Distributed Systems
Some systems interact with their environment at physically distributed interfaces, called ports, and in testing such a system it is normal to place a tester at each port. Each test...
Robert M. Hierons
SIAMCOMP
2008
107views more  SIAMCOMP 2008»
14 years 11 months ago
Holographic Algorithms
Leslie Valiant recently proposed a theory of holographic algorithms. These novel algorithms achieve exponential speed-ups for certain computational problems compared to naive algo...
Leslie G. Valiant
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
14 years 11 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka