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IPL
2008
78views more  IPL 2008»
13 years 4 months ago
Resource-bounded measure on probabilistic classes
We extend Lutz's resource-bounded measure to probabilistic classes, and obtain notions of resource-bounded measure on probabilistic complexity classes such as BPE and BPEXP. ...
Philippe Moser
COCO
1994
Springer
100views Algorithms» more  COCO 1994»
13 years 8 months ago
Relative to a Random Oracle, NP is Not Small
Resource-bounded measure as originated by Lutz is an extension of classical measure theory which provides a probabilistic means of describing the relative sizes of complexity clas...
Steven M. Kautz, Peter Bro Miltersen
RANDOM
1997
Springer
13 years 8 months ago
Resource-Bounded Randomness and Compressibility with Respect to Nonuniform Measures
Most research on resource-bounded measure and randomness has focused on the uniform probability density, or Lebesgue measure, on {0, 1}∞ ; the study of resource-bounded measure ...
Steven M. Kautz
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
ICALP
2003
Springer
13 years 10 months ago
Scaled Dimension and Nonuniform Complexity
Resource-bounded dimension is a complexity-theoretic extension of classical Hausdorff dimension introduced by Lutz (2000) in order to investigate the fractal structure of sets th...
John M. Hitchcock, Jack H. Lutz, Elvira Mayordomo