Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Over the years coding theory and complexity theory have benefited from a number of mutually enriching connections. This article focuses on a new connection that has emerged betwee...
We review the past ten years in computational complexity theory by focusing on ten theorems that the author enjoyed the most. We use each of the theorems as a springboard to discus...
Attractor systems are useful in neurodynamics,mainly in the modelingof associative memory. Thispaper presentsa complexity theory for continuous phase space dynamical systems with ...
An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
Abstract We propose an alternative notion of asymptotic behaviors for the study of type2 computational complexity. Since the classical asymptotic notion (for all but finitely many...