Complexity Theory
by Johan Håstad
2008
Number of pages: 130
Description:
The main idea of the course has been to give the broad picture of modern complexity theory. To define the basic complexity classes, give some examples of each complexity class and to prove the most standard relations. The set of notes does not contain the amount of detail wanted from a text book. I have taken the liberty of skipping many boring details and tried to emphasize the ideas involved in the proofs. Probably in many places more details would be helpful and I would he grateful for hints on where this is the case. Most of the notes are at a fairly introductory level but some of the section contain more advanced material. This is in particular true for the section on pseudorandom number generators and the proof that IP = PSPACE. Anyone getting stuck in these parts of the notes should not be disappointed.
Download or read it online for free here:
Download link
(0.7MB, PDF)
Similar books
Computability and Complexity from a Programming Perspectiveby Neil D. Jones - The MIT Press
The author builds a bridge between computability and complexity theory and other areas of computer science. Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists.
(13799 views)
Mathematics and Computationby Avi Wigderson - Princeton University Press
The book provides a broad, conceptual overview of computational complexity theory -- the mathematical study of efficient computation. It is useful for undergraduate and graduate students in mathematics, computer science, and related fields.
(5605 views)
Computational Complexity: A Conceptual Perspectiveby Oded Goldreich - Cambridge University Press
This book offers a comprehensive perspective to modern topics in complexity theory. It can be used as an introduction as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory.
(13917 views)
Measure-Preserving Systemsby Karl Petersen - University of North Carolina
These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; etc.
(12572 views)