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  • © 2010

The P=NP Question and Gödel’s Lost Letter

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  • A cutting edge discussion of the "The P=NP Question"
  • This is a much needed treatment of great open problem computing," states Richard Demillo, Professor, Georgia Institute of Technology
  • Includes supplementary material: sn.pub/extras

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Table of contents (45 chapters)

  1. Front Matter

    Pages 1-13
  2. A Prologue

    1. Front Matter

      Pages 1-1
    2. A Walk In the Snow

      • Richard J. Lipton
      Pages 3-5
  3. On the P=NP Question

    1. Front Matter

      Pages 7-7
    2. Algorithms: Tiny Yet Powerful

      • Richard J. Lipton
      Pages 9-11
    3. Is P=NP Well Posed?

      • Richard J. Lipton
      Pages 13-17
    4. What Would You Bet?

      • Richard J. Lipton
      Pages 19-21
    5. What Happens When P=NP Is Resolved?

      • Richard J. Lipton
      Pages 23-26
    6. NP Too Big or P Too Small?

      • Richard J. Lipton
      Pages 27-28
    7. How To Solve P=NP?

      • Richard J. Lipton
      Pages 29-31
    8. Why Believe P Not Equal To NP?

      • Richard J. Lipton
      Pages 33-36
    9. A Nightmare About SAT

      • Richard J. Lipton
      Pages 37-38
    10. Bait and Switch

      • Richard J. Lipton
      Pages 39-41
    11. Who’s Afraid of Natural Proofs?

      • Richard J. Lipton
      Pages 43-48
    12. An Approach To P=NP

      • Richard J. Lipton
      Pages 49-53
    13. Is SAT Easy?

      • Richard J. Lipton
      Pages 55-60
    14. SAT is Not Too Easy

      • Richard J. Lipton
      Pages 61-65
    15. Ramsey’s Theorem and NP

      • Richard J. Lipton
      Pages 67-70
    16. Can They Do That?

      • Richard J. Lipton
      Pages 71-75
    17. Rabin Flips a Coin

      • Richard J. Lipton
      Pages 77-80

About this book

? DoesP=NP. In just ?ve symbols Dick Karp –in 1972–captured one of the deepest and most important questions of all time. When he ?rst wrote his famous paper, I think it’s 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=NP—which 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.

Reviews

“This book is a thoroughly enjoyable read because of the great balance between anecdotes, presentations of ‘nice’ problems and algorithms and their solutions and proofs, ‘hard mathematics,’ and musings on how to approach mathematical problems. After having read the book, most readers with a background in complexity theory will most likely be unable to resist immediately working on at least one of the many open problems presented in the book.” (Till Tantau, Mathematical Reviews, October, 2015)

“This book … collects and edits the highlights from Lipton’s ongoing blog, rounded out by cross-references and a useful index and bibliography. … the book offers a different experience and a framed portrait of the state of the art. … Summing Up: Recommended. All levels/libraries.” (D. V. Feldman, Choice, Vol. 48 (9), May, 2011)

“The P=NP question is certainly one of the most important problems in mathematics and computer science (CS). What makes this book unique and delightful is that it gives proper weight to the question rather than the technicalities. Each chapter is based on one of Lipton’s blog posts, and readers can jump from chapter to chapter to find his beautifully written thoughts and insights. … In fact, anyone who is highly motivated by this interesting subject that relates science with reality should read it.” (Hector Zenil, ACM Computing Reviews, March, 2011)

“This book collects some entries of the author’s blog on Gödel’s lost letter and P = NP … . It is an enjoyable and lively introduction to some impressive achievements in the field of complexity theory.” (Thierry Coquand, Zentralblatt MATH, Vol. 1215, 2011)

Authors and Affiliations

  • , College of Computing, Georgia Institute of Technology, Atlanta, USA

    Richard J. Lipton

About the author

Richard Lipton is the Storey Professor of Computer Science at Georgia Institute of Technology. Previously he held faculty positions at Yale University, the University of California at Berkeley, and Princeton University. His research is focused primarily, but not exclusively, on theory of computation. He has made seminal contributions to many areas of computing from software engineering and program testing, to computer security and cryptography, to DNA and molecular computation, and to other areas of computer science. He is a member of The National Academy of Engineering, an ACM Fellow, and a Guggenheim fellow.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access