Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani introduce a number of central topics in computational learning theory for researchers and …
This book is an introduction to a new rapidly developing topic: the theory of quantum computing. It begins with the basics of classical theory of computation: Turing machines …
M Kearns, L Valiant - Journal of the ACM (JACM), 1994 - dl.acm.org
In this paper, we prove the intractability of learning several classes of Boolean functions in the distribution-free model (also called the Probably Approximately Correct or PAC model) of …
A basic issue in computer science is the complexity of problems. Computational complexity measures how much time or memory is needed as a function of the input problem size …
DA Barrington - Proceedings of the eighteenth annual ACM symposium …, 1986 - dl.acm.org
We show that any language recognized by an NC 1 circuit (fan-in 2, depth O (logn)) can be recognized by a particular type of width 5 polynomial-size branching program. As any …
M Naor, O Reingold - Journal of the ACM (JACM), 2004 - dl.acm.org
We describe efficient constructions for various cryptographic primitives in private-key as well as public-key cryptography. Our main results are two new constructions of pseudo-random …
Page 1 Heribert Vollmer Introduction to Circuit Complexity $ Springer Page 2 Page 3 Texts in Theoretical Computer Science An EATCS Series Editors: W. Brauer G. Rozenberg A. Salomaa …
This book is devoted to the computation of the elementary functions. Here, we call elementary functions the most commonly used mathematical functions: sin, cos, tan, sin− 1 …
DAM Barrington, N Immerman, H Straubing - Journal of Computer and …, 1990 - Elsevier
In order to study circuit complexity classes within NC 1 in a uniform setting, we need a uniformity condition which is more restrictive than those in common use. Two such …