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The P=NP Question and Gödel's Lost Letter

The P=NP question is one of the great problems of science, which has intrigued computer scientists and mathematicians for decades. Despite the abundant research in theoretical computer science regarding the P=NP question, it has not been solved. The P=NP Question and Gödel's Lost Letter covers...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lipton, Richard J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • A Prologue
  • A Walk In the Snow
  • On the P=NP Question
  • Algorithms: Tiny Yet Powerful
  • Is P=NP Well Posed?
  • What Would You Bet?
  • What Happens When P=NP Is Resolved?
  • NP Too Big or P Too Small?
  • How To Solve P=NP?
  • Why Believe P Not Equal To NP?
  • A Nightmare About SAT
  • Bait and Switch
  • Who's Afraid of Natural Proofs?
  • An Approach To P=NP
  • Is SAT Easy?
  • SAT is Not Too Easy
  • Ramsey's Theorem and NP
  • Can They Do That?
  • Rabin Flips a Coin
  • A Proof We All Missed
  • Barrington Gets Simple
  • Exponential Algorithms
  • An EXPSPACE Lower Bound
  • Randomness has Unbounded Power
  • Counting Cycles and Logspace
  • Ron Graham Gives a Talk
  • An Approximate Counting Method
  • Easy and Hard Sums
  • How To Avoid O-Abuse
  • How Good is The Worst Case Model?
  • Savitch's Theorem
  • Adaptive Sampling and Timed Adversaries
  • On The Intersection of Finite Automata
  • Where are the Movies?
  • On Integer Factoring
  • Factoring and Factorials
  • BDD's
  • Factoring and Fermat
  • On Mathematics
  • A Curious Algorithm
  • Edit Distance
  • Protocols
  • Erd?s and the Quantum Method
  • Amplifiers
  • Amplifying on the PCR Amplifier
  • Mathematical Embarrassments
  • Mathematical Diseases
  • Mathematical Surprises
  • Erratum.