His discovery has generated excitement among computer scientists worldwide, and has garnered coverage on traditional media sites business and tech. Im dead seriousand i can afford it about as well as youd think i can. Motivated by the study of minimal value set polynomials, we construct f qfrobenius nonclassical curves with a large number of f qrational points. May 17, 2019 deolalikar proof pdf from what i can understand, deolalikars main innovation seems to be to use some concepts from statistical physics and finite model theory and tie them to. What are more recent advances regarding p versus np question. One of the main fora for this has been the blog of richard lipton that brandon has. One needs to know how many local minima there are that could trap your search algorithm. For some of these curves, we determine the weierstrass semigroup at the unique point at infinity. The claimed proof has inspired a breathtakingly active blog and wiki discussion by some of the top mathematicians and theoretical computer scientists in the world. Whether p class of problems solvable in polynomial time is not equal np class of problems solvable by a nondeterministic turing machine in polynomial time is probably the most. There were enough reservations that people probably wont. You have to effectively prove that all possible and thinkable solutions are in np and none is in p. Nov 15, 2019 deolalikar proof pdf from what i can understand, deolalikars main innovation seems to be to use some concepts from statistical physics and finite model theory and tie them to. But they do appear to give an obstacle to the general proof method.
A proposed proof is probably a bustbut even failed attempts can advance computer science. This proof requires a convergence of ideas and an interplay of principles that span several areas within mathematics and physics. Nonetheless the online maths community has lit up with excitement as this document, claiming to prove one of the major outstanding theorems in maths circulated. In subsequent years, many problems central to diverse areas of application were shown to be npcomplete see gj79 for a list. Inactive deolalikar responds to issues about his p. Np 5 recently there has been a paper floating around by vinay deolalikar at hp labs which claims to have proved that p. A legendary problem and the battle over who solved it. Were the p is not equal to np proof claimer, vinay deolalikar, a good boy of academia, he would have spent his time applying for funding to apply computer science principles to, say, military or.
Three weeks back, on august 8, an hp researcher vinay deolalikar put up a draft of a proof sketch for one of the six millennium problems called pnp on the internet. Packard, posted a proposed proof of what is known as the p versus. By john markoff vinay deolalikar, a mathematician and electrical engineer at hewlettpackard, posted a proposed proof of what is known as the p versus np problem on a web site. Theres a new paper circulating that claims to prove that p. While the p versus np problem is generally considered unsolved, many amateur and some professional researchers have claimed solutions. However, the attempt seems to be quite genuine, and deolalikar has published papers in the same field in the pa.
If nothing else the solution to the problem is big news because it is one of the millennium prize problems and hence associated with a one million dollar prize for the person who solves it. Hp labs vinay deolalikar proposes proof on p not equal. New proof unlocks answer to the p versus np problemmaybe. If, on the other hand p np, the consequences would be even more stunning, since every one of these problems would have a polynomial time. Shtetloptimized blog archive putting my money where my. Yesterday, a paper was published concerning the conjunctive boolean satisfiability problem, which asks whether a given list of logical statements contradict each other or not. A few days ago, vinay deolalikar of hp labs started circulating a claimed proof of p. Lance fortnow georgia institute of technology a personal. Aside from being an important problem in computational theory, a proof either way would.
Vinay deolalikar, a mathematician and electrical engineer at hewlett. Here is what googlism thinks of p versus np and pnp. The opposite proposition that p is equal to np is widely doubted. I am supposed to have studied abc of complexity theory in my undergraduate and graduate schools.
Researcher claims to have solved the biggest problem in computer science. Several points on the question of whether the proof is likely to be correct. Just run the proof on a hard 3sat or whatever and observe the answer returning significantly before the heat death of the universe. Two prominent computer scientists have pointed out potentially fatal flaws in the draft proof by vinay deolalikar of hewlettpackard labs in. Vinay deolalikar, began circulating a paper that claimed to solve whats known as the pnp problem. Could someone explain how this proof works for us less mathematically inclined people. What is the current status of vinay deolalikars proof that p. There were enough reservations that people probably wont bother looking at it again until the update comes out. What is the current status of vinay deolalikars proof. Pick up the phone, talk to vinay, then fly him down to atlanta and perhaps terry tao and a couple of others have a small workshop for days to thrash out the issues. I really, really doubt that deolalikars proof will stand.
Vinay deolalikar, a mathematician and electrical engineer at hewlettpackard, posted a proposed proof of what is known as the p versus np problem on a web site, and quietly notified a number of the key. Doubts continue on claim to have solved p vs np mathematical. To prove the algorithm, we define a linear order to align all the instances of the. So, a perhaps more objective assessment of this piece of text over pages in 12pt, yet more like 70 pages in 10pt might be fine, now extend this ndtm which does the following.
Tao argued that while the paper has a number of interesting and. Now vinay deolalikar, a well known researcher in networks and complexity theory from hp labs, has produced a paper that claims to prove p does not equal np. In this paper, we propose a problem named as msp, prove its npcompleteness, and design an algorithm to solve it. Np as anyone could predict, the alleged proof has already been slashdotted see also liptons blog and bacons blog, and my own inbox has been filling up faster than the gulf of mexico. A polynomial time algorithm for the hamilton circuit problem. Tide turns against milliondollar maths proof new scientist.
The paper spurred an intense, open, internetbased effort to understand it and pursue its ideas, attracting such luminaries. Possible fatal flaws in the finite model part of deolalikar s proof neil immerman is one of the worlds experts on finite model theory. On august 8 of this year, vinay deolalikar, principal research scientist in hps storage and information management platforms lab in palo alto, published a scientific proof on p not equal to np available here as an hp labs technical report. He uses monadic unary relations, hand waves edolalikar. Np math problem proposed by hp labs vinay deolalikar. Vinay deolalikar is standing by his claim and proof. As one of the six unsolved millenium prize problems and. Deolalikar proof pdf from what i can understand, deolalikar s main innovation seems to be to use some concepts from statistical physics and finite model theory and tie them to. The clay mathematics institude cmi has named this one of the clay millenium prize problems clay mathematics institute, which means that if one were to present a valid solution youd be entitled to a million dollars, which provide. Apr 14, 2020 vinay deolalikar is standing by his \mathsfp eq \mathsfnp claim and proof. So a polynomial time solution to prroof leads, by a series of mechanical transformations, to a polynomial time solution of satisfiability, which in turn can be used to solve any other np complete problem in polynomial time. Deolalikars proof, if true, would have important implications. The claimed proof has inspired a breathtakingly active blog and wiki discussion by some of the top. Jul 30, 2019 deolalikar proof pdf from what i can understand, deolalikars main innovation seems to be to use some concepts from statistical physics and finite model theory and tie them to.
Throughout our proof, we observe that the ability to compute a property on structures in polynomial time is. Than this would contradict the fact that in general z t is hard to compute. Np, 2 proofs the problem is unprovable, and one proof that it is undecidable. So in fact, i published my first paper, a research disclosure while at hp. Several points on the question of whether the proof is likely. That is, if anything at all follows from his paper. Unlike someone playing minesweeper in their parents basement. Possible fatal flaws in the finite model part of deolalikars proof neil. Its a leaked pdf of an unverified proof which has yet to appear in any mainstream news source and is relevant, probably, to no.
As a graduate student myself, i have to wonder how many theorems those commenters have proved on their own. Np, but unfortunately, there are some flaws in his proof 11. Could someone explain how this proof works for us less mathematically incl. Np doesnt hold its ground with society august, 2010 in mathematics the famous millennium problem, p versus np has been claimed to be proven, by vinay deolalikar, an indian computer scientist and a principal research scientist working in the storage and information management platforms lab at hp labs. This represents the majority of the effort that went into constructing the proof. From what i can understand, deolalikar s main innovation seems to be to use some concepts from statistical physics and finite model theory and tie them to the problem. Np proof august 11, 2010 inactive fatal flaws in deolalikars proof. Apr, 2017 recently there has been a paper floating around by vinay deolalikar at hp labs which claims to have proved that p. Doubts continue on claim to have solved p vs np mathematical question 17 august 2010, by lin edwards one of the most complex mathematical problems. I am pleased to announce a proof that p is not equal to np, which is attached in 10pt and 12pt fonts. I have no idea either, and the rest of the document just gets more confusing for a nonmathematician.
Vinay deolalikar hp research labs, palo alto vinay. The p versus np problem is a major unsolved problem in computer science. Recently there has been a paper floating around by vinay deolalikar at hp labs which claims to have proved that p. On august 6, 2010, vinay deolalikar announced a proof 100page manuscript that p 6 np. Now, its the slow roasting of an hp mathematician forbes. She notices that the same proof perhaps slightly changedwill also prove. It is about computational complexity how hard it is to solve computational problems. Despite the fact that the paper is by a respected researcher hp labs vinay deolalikar and not a crank, my bet is that the proof is flawed edited to add 816.
Np proof is wrong as of this writing, vinay deolalikar still hasnt retracted his p. Vinay deolalikar, a principal research scientist at hp labs, claims to have. Np claim, but a clear consensus has emerged that the proof, as it stands, is fatally flawed. Even though deolalikar s paper was the most seriously considered recently, and a lot of work was put into it by important people in the few weeks after it came out, but very little public judgement since then. So, in the future, how can you decide whether a claimed p. Here is the outcome of an opinion poll on p versus np conducted by william gasarch.
However, this is not polylog parametrization if l is delalikar of order polylog n. Vinay deolalikar, a principal research scientist at hp labs, has published a first draft of what he claims is a proof that p. P, np, and is academia inhospitable to big discoveries. Vinay deolalikar, a mathematician and electrical engineer at hewlettpackard, posted a proposed proof of what is known as the p versus np problem on a. But if there were a proof that p and np were equal, anyone with a good data set could verify the proof in a few minutes. Lance fortnow georgia institute of technology a personal view.
I am pleased to announce a proof that p is not equal to np. Np proof august 11, 2010 inactive fatal flaws in deolalikar s proof. This makes the problem somehwat selfreferential, thus according to godels incompleteness theorem, there cant be a consistent proof. Ai warfare is the most likely resolution of fermis paradox. Of the many prominent mathematicians who have expressed doubts about the claimed pnp proof of hp researcher vinay deolalikar, few are more entitled to. Information, prediction, and collective intelligence. Possible fatal flaws in the finite model part of deolalikars proof neil immerman is one of the worlds experts on finite model theory. A new family of castle and frobenius nonclassical curves. A piece of recent work made by hp labs vinay deolalikar has caused much discussion, debate and comment on the internet. Its a little hard to keep track of all the discussions, so i thought id try. Vinay deolalikar, a principal research scientist at hp labs, claims to have definitively proved that p. Woeginger maintains a list that, as of 2018, contains 62 purported proofs of p np, 50 proofs of p. He and i have been exchanging emails, and as noted in the.
Here is a pdf of one of the josephyoung papers, and another tr. It seemed highly unlikely but one could not dismiss it out of hand. Np, 2 proofs the problem is unprovable, and one proof. The paper has not been refereed, and i havent seen any independent verifications or refutations. Better minds than mine are on the case right now, and little snippets of questions are coming out in comments especially on dick liptons original post. Abstract we demonstrate the separation of the complexity class np from its subclass p. As of this writing, vinay deolalikar still hasnt retracted his p. But deolalikar is a recognized and published scientist, and his paper had novel ideas from promising areas of research. Here are the reasons why oded goldreich refuses to proof read papers settling the p versus np question. The proof that an object is a socalled twosphere, since it can take on any number of shapes, is that it is simply.