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SIAMCOMP
2010
147views more  SIAMCOMP 2010»
13 years 4 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»
13 years 4 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»
13 years 4 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»
13 years 5 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»
13 years 5 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