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COCO
1998
Springer
98views Algorithms» more  COCO 1998»
13 years 9 months ago
Probabilistic Martingales and BPTIME Classes
We define probabilistic martingales based on randomized approximation schemes, and show that the resulting notion of probabilistic measure has several desirable robustness propert...
Kenneth W. Regan, D. Sivakumar
COCO
1998
Springer
95views Algorithms» more  COCO 1998»
13 years 9 months ago
Resource-Bounded Measure
We present a notion of resource-bounded measure for P and other subexponential-time classes. This generalization is based on Lutz's notion of measure, but overcomes the limit...
Jack H. Lutz
COCO
1998
Springer
93views Algorithms» more  COCO 1998»
13 years 9 months ago
Resource Bounded Measure and Learnability
We consider the resource bounded measure of polynomial-time learnable subclasses of polynomial-size circuits. We show that if EXP 6= MA, then every PAClearnable subclass of P=poly...
Wolfgang Lindner, Rainer Schuler, Osamu Watanabe
COCO
1998
Springer
100views Algorithms» more  COCO 1998»
13 years 9 months ago
Uniformly Hard Languages
Ladner [18] showed that there are no minimal recursive sets under polynomial-time reductions. Given any recursive set A, Ladner constructs a set B such that B strictly reduces to ...
Rodney G. Downey, Lance Fortnow
COCO
1998
Springer
109views Algorithms» more  COCO 1998»
13 years 9 months ago
Complexity Limitations on Quantum Computation
We use the powerful tools of counting complexity and generic oracles to help understand the limitations of the complexity of quantum computation. We show several results for the p...
Lance Fortnow, John D. Rogers
COCO
1998
Springer
103views Algorithms» more  COCO 1998»
13 years 9 months ago
Nonrelativizing Separations
We show that MAEXP, the exponential time version of the Merlin-Arthur class, does not have polynomial size circuits. This significantly improves the previous known result due to K...
Harry Buhrman, Lance Fortnow, Thomas Thierauf
COCO
1998
Springer
123views Algorithms» more  COCO 1998»
13 years 9 months ago
Isolation, Matching, and Counting
We show that the perfect matching problem is in the complexity class SPL in the nonuniform setting. This provides a better upper bound on the complexity of the matching problem, a...
Eric Allender, Klaus Reinhardt
COCO
1998
Springer
86views Algorithms» more  COCO 1998»
13 years 9 months ago
The Satisfiability Problem for Probabilistic Ordered Branching Programs
We show that the satisfiability problem for bounded-error probabilistic ordered branching programs is NP-complete. If the error is very small, however (more precisely, if the erro...
Manindra Agrawal, Thomas Thierauf