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
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.
(7446 views)
Solving NP-Complete Problemsby F. D. Lewis - University of Kentucky
This is an on-line textbook on heuristic algorithms. From the table of contents: Classes of Problems; Integer Programming; Enumeration Techniques; Dynamic Programming; Approximate Solutions; Local Optimization; Natural Models.
(5295 views)
Parallel Complexity Theoryby Ian Parberry - Prentice Hall
The rapid growth of parallel complexity theory has led to a proliferation of parallel machine models. This book presents a unified theory of parallel computation based on a network model. It is the first such synthesis in book form.
(5364 views)
Introduction to Complexity Theoryby Oded Goldreich
Complexity theory is the study of the intrinsic complexity of computational tasks. The book is aimed at exposing the students to the basic results and research directions in the field. The focus was on concepts, complex technical proofs were avoided.
(6547 views)