Immunity, relativizations, and nondeterminism
SIAM Journal on Computing
The density and complexity of polynomial cores for intractable sets
Information and Control
Optimal approximations and polynomially levelable sets
SIAM Journal on Computing
Sparse sets lowness and highness
SIAM Journal on Computing
A classification of complexity core lattices
Theoretical Computer Science
Hard-core theorems for complexity classes
Journal of the ACM (JACM)
On Reducibility to Complex or Sparse Sets
Journal of the ACM (JACM)
Generalized complexity cores and levelability of intractable sets (np-complete, polynomial immunity, exponential-time, k-creative, approximation)
The Non-Recursive Power of Erroneous Computation
Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
On “inherently context-sensitive” languages - An application of complexity cores
Information Processing Letters
Characterizations and Existence of Easy Sets without Hard Subsets
Fundamenta Informaticae - Theory that Counts: To Oscar Ibarra on His 70th Birthday
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If C is a class of sets and A is not in C, then an infinite set H is a proper hard core for A with respect to C, if H ⊆ A and for every C &egr; C such that C ⊆ A, C ⋒ H is finite. It is shown that if C is a countable class of sets of strings that is closed under finite union and finite variation, then every infinite set not in C has a proper hard core with respect to C. In addition, the density of such generalized complexity cores is studied.