This paper has the following goals: – To survey some of the recent developments in the field of derandomization. – To introduce a new notion of time-bounded Kolmogorov complex...
Hartmanis used Kolmogorov complexity to provide an alternate proof of the classical result of Baker, Gill, and Solovay that there is an oracle relative to which P is not NP. We re...
We show here how to construct a cellular automaton whose asymptotic set (the set of configurations it converges to) is maximally complex: it contains only configurations of maximal...