Logo

Complexity Theory by Johan Håstad

Complexity Theory
by


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.

Home page url

Download or read it online for free here:
Download link
(0.7MB, PDF)

Similar books

Book cover: Lecture Notes on Computational ComplexityLecture Notes on Computational Complexity
by
Notes from a graduate courses on Computational Complexity. The first 15 lectures cover fundamentals, the remaining is advanced material: Hastad's optimal inapproximability results, lower bounds for parity in bounded depth-circuits, and more.
(15040 views)
Book cover: Think Complexity: Complexity Science and Computational ModelingThink Complexity: Complexity Science and Computational Modeling
by - Green Tea Press
This book is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science. The book focuses on discrete models, which include graphs, cellular automata, and agent-based models.
(9252 views)
Book cover: Introduction to Complexity TheoryIntroduction to Complexity Theory
by
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.
(10667 views)
Book cover: Computability and Complexity from a Programming PerspectiveComputability and Complexity from a Programming Perspective
by - 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.
(11676 views)