In this Book

Princeton University Press

The Golden Ticket: P, NP, and the Search for the Impossible

Book
Lance Fortnow
2013
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summary

The computer science problem whose solution could transform life as we know it

The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.

Table of Contents

Cover

Title Page, Copyright, Dedication

Contents

Preface

pp. ix-x

Chapter 1: The Golden Ticket

pp. 1-10

Chapter 2: The Beautiful World

pp. 11-28

Chapter 3: P and NP

pp. 29-50

Chapter 4: The Hardest Problems in NP

pp. 51-70

Chapter 5: The Prehistory of P versus NP

pp. 71-88

Chapter 6: Dealing with Hardness

pp. 89-108

Chapter 7: Proving P ≠ NP

pp. 109-122

Chapter 8: Secrets

pp. 123-142

Chapter 9: Quantum

pp. 143-154

Chapter 10: The Future

pp. 155-162

Acknowledgments

pp. 163-164

Notes

pp. 165-170

Index

pp. 171-176
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