The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
If Alice has x, y, Bob has x, z and Carol has y, z can they determine if x + y + z = N? They can if (say) Alice broadcasts x to Bob and Carol; can they do better? Chandra, Furst, a...
c communication case. This lemma generalizes and abstracts in a very clean form the ``round reduction'' techniques used in many previous lower bound proofs. ] 1998 Academ...
Peter Bro Miltersen, Noam Nisan, Shmuel Safra, Avi...
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...