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FOCS
1990
IEEE
13 years 10 months ago
Algebraic Methods for Interactive Proof Systems
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an...
Carsten Lund, Lance Fortnow, Howard J. Karloff, No...
FOCS
2010
IEEE
13 years 4 months ago
A Non-linear Lower Bound for Planar Epsilon-Nets
We show that the minimum possible size of an -net for point objects and line (or rectangle)ranges in the plane is (slightly) bigger than linear in 1/ . This settles a problem rais...
Noga Alon
FOCS
1990
IEEE
13 years 10 months ago
Parallel Linear Programming in Fixed Dimension Almost Surely in Constant Time
For any xed dimension d, the linear programming problem with n inequality constraints can be solved on a probabilistic CRCW PRAM with O(n) processors almost surely in constant time...
Noga Alon, Nimrod Megiddo
FOCS
1990
IEEE
13 years 10 months ago
IP=PSPACE
In [Sh92], Adi Shamir proved a complete characterization of the complexity class IP. He showed that when both randomization and interaction are allowed, the proofs that can be ver...
Adi Shamir
FOCS
1990
IEEE
13 years 10 months ago
On the Predictability of Coupled Automata: An Allegory about Chaos
We show a sharp dichotomy between systems of identical automata with a symmetric global control whose behavior is easy to predict, and those whose behavior is hard to predict. The...
Samuel R. Buss, Christos H. Papadimitriou, John N....