This book is rooted in the thesis that complexity theory is extremely rich in conceptual
content, and that this contents should be explicitly communicated in expositions and courses …

Communication complexity is the mathematical study of scenarios where several parties
need to communicate to achieve a common goal, a situation that naturally appears during …

In this article we survey the theory of two-party communication complexity. This field of
theoretical computer science aims at studying the following, seemingly very simple …

We introduce the notion of natural proof. We argue that the known proofs of lower bounds on
the complexity of explicit Boolean functions in non-monotone models fall within our definition …

Boolean circuit complexity is the combinatorics of computer science and involves many
intriguing problems that are easy to state and explain, even for the layman. This book is a …

It is shown that, for inputs of length n, the probabilistic (bounded error) communication
complexity of set intersection is Θ(n). Since set intersection can be recognized …

Models of Computation.ppt [Read-Only] Page 1 Models of Computation John E Savage
Computer Science Brown University CBSSS 2004 July 16, 2004 Page 2 CBSSS: JE Savage …

This book presents an up-to-date, unified treatment of research in bounded arithmetic and
complexity of propositional logic with emphasis on independence proofs and lower bound …

Private vs. Common Random bits in Communication Complexity Page 1 Private vs. Common
Random bits in Communication Complexity Ilan Newman November 8, 1995 Abstract We …

From the winner of the Turing Award and the Abel Prize, an introduction to computational
complexity theory, its connections and interactions with mathematics, and its central role in …