Category and measure in complexity classes
SIAM Journal on Computing
Almost everywhere high nonuniform complexity
Journal of Computer and System Sciences
Almost every set in exponential time is P-bi-immune
Theoretical Computer Science
Computability, enumerability, unsolvability
Genericity and measure for exponential time
MFCS '94 Selected papers from the 19th international symposium on Mathematical foundations of computer science
Dimension in Complexity Classes
SIAM Journal on Computing
Effective Strong Dimension in Algorithmic Information and Computational Complexity
SIAM Journal on Computing
SIGACT news complexity theory column 48
ACM SIGACT News
Hi-index | 0.89 |
Classically it is known that any set with packing dimension less than 1 is meager in the sense of Baire category. We establish a resource-bounded extension: if a class X has Δ-strong dimension less than 1, then X is Δ-meager. This has the applications of explaining some of Lutz's simultaneous Δ-meager, Δ-measure 0 results and providing a new proof of a Gu's strong dimension result on infinitely-often classes.