The PNP Question and Gdels Lost Letter [Paperback]

? DoesP=NP. In just ?ve symbols Dick Karp in 1972captured one of the deepest and most important questions of all time. When he ?rst wrote his famous paper, I think its fair to say he did not know the depth and importance of his question. Now over three decades later, we know P=NP is central to our understanding of compu- tion, it is a very hard problem, and its resolution will have potentially tremendous consequences. This book is a collection of some of the most popular posts from my blog Godel ? Lost Letter andP=NPwhich I started in early 2009. The main thrust of the blog, especially when I started, was to explore various aspects of computational complexity around the famousP=NP question. As I published posts I branched out and covered additional material, sometimes a timely event, sometimes a fun idea, sometimes a new result, and sometimes an old result. I have always tried to make the posts readable by a wide audience, and I believe I have succeeded in doing this.

The P=NP question is one of the great problems of science, which has intrigued computer scientists and mathematicians for decades. This guide, originating from a weblog written by the author, covers historical developments and latest approaches to the problem.

? DoesP=NP. In just ?ve symbols Dick Karp in 1972captured one of the deepest and most important questions of all time. When he ?rst wrote his famous paper, I think its fair to say he did not know the depth and importance of his question. Now over three decades later, we know P=NP is central to our understanding of compu- tion, it is a very hard problem, and its resolution will have potentially tremendous consequences. This book is a collection of some of the most popular posts from my blog Godel ? Lost Letter andP=NPwhich I started in early 2009. The main thrust of the blog, especially when I started, was to explore various aspects of computational complexity around the famousP=NP question. As I published posts I branchló½