DEOLALIKAR P NP PDF

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. Consequently, polynomial time algorithms cannot solve problems in regimes where blocks whose order is the same as the underlying problem instance require simultaneous resolution. Other parts of the paper show that certain NP problems can not be broken up in this manner. Dick Lipton has a nice blog entry about the paper and his first impressions of it.

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I am pleased to announce a proof that P is not equal to NP, which is attached in 10pt and 12pt fonts. The proof required the piecing together of principles from multiple areas within mathematics. The major effort in constructing this proof was uncovering a chain of conceptual links between various fields and viewing them through a common lens. Second to this were the technical hurdles faced at each stage in the proof.

This work builds upon fundamental contributions many esteemed researchers have made to their fields. In the presentation of this paper, it was my intention to provide the reader with an understanding of the global framework for this proof. Technical and computational details within chapters were minimized as much as possible. This work was pursued independently of my duties as a HP Labs researcher, and without the knowledge of others.

I made several unsuccessful attempts these past two years trying other combinations of ideas before I began this work.

Click for a full PDF of the page paper. You can learn more about the P versus NP problem on Wikipedia; very briefly, P is polynomial time and NP is nondeterministic polynomial time. The former describes the class of problems termed NP, whilst the latter describes P. The question is whether or not all problems in NP are also in P.

If P did equal NP, it would have huge implications in the field of cryptography: A number of existing systems of cryptography — most worryingly, many which we use to handle sensitive financial transactions — would break down.

On the flip side, scientific research dealing with NP-complete problems, like protein structure prediction, could proceed much faster. Physicists are notorious for brushing technicalities under the rug. Conclusion: overall, it certainly looks superficially legit. Comments and suggestions for improvements to the paper are highly welcomed. Follow The Mary Sue:.

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A Most Profound Math Problem

I am pleased to announce a proof that P is not equal to NP, which is attached in 10pt and 12pt fonts. The proof required the piecing together of principles from multiple areas within mathematics. The major effort in constructing this proof was uncovering a chain of conceptual links between various fields and viewing them through a common lens. Second to this were the technical hurdles faced at each stage in the proof.

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Tide turns against million-dollar maths proof

A few of the Clay problems are long-standing head-scratchers. The Riemann hypothesis , for example, made its debut in Take your e-mail password as an analogy. Its veracity is checked within a nanosecond of your hitting the return key. But for someone to solve your password would probably be a fruitless pursuit, involving a near-infinite number of letter-number permutations—a trial and error lasting centuries upon centuries.

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Deolalikar Responds To Issues About His P≠NP Proof

A principle for checking proofs with an application to the proof. Vinay Deolalikar is standing by his claim and proof. He and I have been exchanging e-mails, and as noted in the several comments, he has updated his paper several times. The updates are trying to answer some of the questions raised here and elsewhere.

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Researcher Claims to Prove that P Does Not Equal NP in 100-Page Paper

The second reason is that, independently of the solution-space issue, Neil Immerman has identified critical flaws in the finite model theory part of the paper. And thus, several commenters wanted to know how someone as lazy as I am could nevertheless be so confident in predicting what would happen:. But how did you do it, confidently risking your reputation like a smooth poker player? Scott Aaronsohn [sic], like Nassim Nicholas Taleb, you predicted the crash before it happened! You knew some fundamental weaknesses intuitively that the other Myron-Scholes Nobel prize winning economists computer scientists fell for! While it pains me to say so, these commenters give me way too much credit.

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