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ICALP
2005
Springer
13 years 10 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek
JCSS
2000
116views more  JCSS 2000»
13 years 5 months ago
Time-Space Tradeoffs for Satisfiability
We give the first nontrivial model-independent time-space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved simultaneously in n1+o(1) time and n1space for an...
Lance Fortnow
COLT
2006
Springer
13 years 9 months ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
APPROX
2007
Springer
86views Algorithms» more  APPROX 2007»
13 years 9 months ago
Lower Bounds for Swapping Arthur and Merlin
We prove a lower bound for swapping the order of Arthur and Merlin in two-round MerlinArthur games using black-box techniques. Namely, we show that any AM-game requires time (t2 )...
Scott Diehl
ISAAC
2004
Springer
87views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Random Access to Advice Strings and Collapsing Results
We propose a model of computation where a Turing machine is given random access to an advice string. With random access, an advice string of exponential length becomes meaningful ...
Jin-yi Cai, Osamu Watanabe