Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
The AND problem on t bits is a promise decision problem where either at most one bit of the input is set to 1 (NO instance) or all t bits are set to 1 (YES instance). In this note...