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IPL
2008
78views more  IPL 2008»
13 years 11 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»
14 years 3 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
14 years 3 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»
14 years 3 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
14 years 4 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