The P=NP Question and Gd̲el<U+0019>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 Gd̲el<U+0019>s Lost Letter...

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Bibliographic Details
Main Author: Lipton, Richard J. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Boston, MA : Springer US, 2010.
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-7155-5
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245 1 4 |a The P=NP Question and Gd̲el<U+0019>s Lost Letter  |c by Richard J. Lipton.  |h [electronic resource] / 
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505 0 # |a Part I A Prologue -- A Walk In the Snow -- Part II On the P=NP Question -- Algorithms: Tiny Yet Powerful -- Is P=NP Well Posed? -- What Would You Bet? -- What Happens What 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<U+0019>s Afraid of Natural Proofs? -- An Approach To P=NP -- Is SAT Easy? -- SAT is Not Too Easy -- Ramsey<U+0019>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<U+0019>s Theorem -- Adaptive Sampling and Timed Adversaries -- On The Intersection of Finite Automata -- Where are the Movies? -- Part III On Integer Factoring -- Factoring and Factorials -- BDD<U+0019>s -- Factoring and Fermat -- Part IV On Mathematics -- A Curious Algorithm -- Edit Distance -- Protocols -- Erds̳ and the Quantum Method -- Amplifiers -- Amplifying on the PCR Amplifier -- Mathematical Embarrassments -- Mathematical Diseases -- Mathematical Surprises -- A Gd̲el Lost Letter -- Index. 
520 # # |a 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 Gd̲el<U+0019>s Lost Letter covers historical developments (including the Gd̲el<U+0019>s Lost letter), the importance of P=NP and the future of P=NP. This guide is also based on a new blog by the author, located at http://rjlipton.wordpress.com. Jin-Yi Cai, a professor in computer science at the University of Wisconsin remarks 'I think it is the single most interesting web blog I have seen on related topics. He has a great insight and wit and beautiful way to see things and explain them.' Richard DeMillo, a professor in computer science at Georgia Tech remarks, 'This is a much needed treatment of great open problem computing.' The P=NP Question and Gd̲el<U+0019>s Lost Letter is designed for advanced level students and researchers in computer science, and mathematics as a secondary text and reference book. Computer programmers, software developers and IT professionals working in the related industry of computer science theory, will also find this guide a valuable asset. 
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650 2 4 |a Algorithm Analysis and Problem Complexity. 
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