4th Annual Symposium on Theoretical Aspects of Computer Sciences on STACS 87
Minimal pairs for polynomial time reducibilities
Computation theory and logic
A comparison of polynomial time completeness notions
Theoretical Computer Science
Structural complexity 2
Category and measure in complexity classes
SIAM Journal on Computing
Almost everywhere high nonuniform complexity
Journal of Computer and System Sciences
Theoretical Computer Science
The Complexity and Distribution of Hard Problems
SIAM Journal on Computing
Almost every set in exponential time is P-bi-immune
Theoretical Computer Science
SIAM Journal on Computing
Computability, enumerability, unsolvability
Genericity and measure for exponential time
MFCS '94 Selected papers from the 19th international symposium on Mathematical foundations of computer science
Resource bounded randomness and weakly complete problems
Theoretical Computer Science
An excursion to the Kolmogorov random strings
Journal of Computer and System Sciences - special issue on complexity theory
An introduction to Kolmogorov complexity and its applications (2nd ed.)
An introduction to Kolmogorov complexity and its applications (2nd ed.)
The quantitative structure of exponential time
Complexity theory retrospective II
On the Structure of Polynomial Time Reducibility
Journal of the ACM (JACM)
A Comparison of Weak Completeness Notions
CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
Nontriviality for exponential time w.r.t weak reducibilities
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
Nontriviality for exponential time w.r.t. weak reducibilities
Theoretical Computer Science
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Lutz [20] proposed the following generalization of hardness: While a problem A is hard for a complexity class C if all problems in C can be reduced to A, Lutz calls a problem weakly hard if a nonnegligible part of the problems in C can be reduced to A. For the exponential-time class E, Lutz formalized these ideas by introducing a resource-bounded (pseudo) measure on this class and by saying that a subclass of E is negligible if it has measure 0 in E. Here we introduce and investigate new weak hardness notions for E, called E-nontriviality and strong E-nontriviality, which generalize Lutz's weak hardness notion for E and which are conceptually much simpler than Lutz's concept. Moreover, E-nontriviality may be viewed as the most general consistent weak hardness notion for E.