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A SubConstant ErrorProbability LowDegree Test, and a SubConstant ErrorProbability PCP Characterization of NP
 IN PROC. 29TH ACM SYMP. ON THEORY OF COMPUTING, 475484. EL PASO
, 1997
"... We introduce a new lowdegreetest, one that uses the restriction of lowdegree polynomials to planes (i.e., affine subspaces of dimension 2), rather than the restriction to lines (i.e., affine subspaces of dimension 1). We prove the new test to be of a very small errorprobability (in particular, ..."
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Cited by 324 (20 self)
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We introduce a new lowdegreetest, one that uses the restriction of lowdegree polynomials to planes (i.e., affine subspaces of dimension 2), rather than the restriction to lines (i.e., affine subspaces of dimension 1). We prove the new test to be of a very small errorprobability (in particular
Interactive PCP
 In Proceedings of the 35th International Colloquium on Automata, Languages and Programming, ICALP ’08
, 2008
"... A central line of research in the area of PCPs is devoted to constructing short PCPs. In this paper, we show that if we allow an additional interactive verification phase, with very low communication complexity, then for some NP languages, one can construct PCPs that are significantly shorter than t ..."
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Cited by 6 (2 self)
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the known PCPs (without the additional interactive phase) for these languages. We give many cryptographical applications and motivations for our results and for the study of the new model in general. More specifically, we study a new model of proofs: interactivePCP. Roughly speaking, an interactivePCP
PCP: Efficient endpoint congestion control
 In Proceedings of NSDI’06
, 2006
"... In this paper, we present the design, implementation, and evaluation of a novel endpoint congestion control system that achieves nearoptimal performance in all likely circumstances. Our approach, called the Probe Control Protocol (PCP), emulates networkbased control by using explicit short probes ..."
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Cited by 26 (1 self)
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to test and temporarily acquire available bandwidth. Like TCP, PCP requires no network support beyond plain FIFO queues. Our initial experiments show that PCP, unlike TCP, achieves rapid startup, small queues, and low loss rates, and that the efficiency of our approach does not compromise eventual
The nuclear DNA base 5hydroxymethylcytosine is present
 in Purkinje neurons and the brain. Science 324:929–30
"... Despite the importance of epigenetic regulation in neurological disorders, little is known about neuronal chromatin. Cerebellar Purkinje neurons have large and euchromatic nuclei, whereas granule cell nuclei are small and have a more typical heterochromatin distribution. While comparing the abundanc ..."
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Cited by 210 (2 self)
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Despite the importance of epigenetic regulation in neurological disorders, little is known about neuronal chromatin. Cerebellar Purkinje neurons have large and euchromatic nuclei, whereas granule cell nuclei are small and have a more typical heterochromatin distribution. While comparing
MY PCP PERSONAL STORY
"... on cognitive complexity and persuasibility at The Ohio State University in Columbus, and started out for the University of Florida for my first and as it turned out my only job, retiring after a 36 year tenure. I talked to Dr. Kelly about my dissertation topic and had him sign my copy of the first ..."
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small town just north of Columbus on a cold March 10th in 1967. I later learned, to my great surprise, that he had called, shortly before his death to make sure I had found a job and was pleased about my Florida appointment. One did not really know what to expect from Dr. Kelly; he was the kind
Two Query PCP with SubConstant Error
, 2008
"... We show that the N PComplete language 3SAT has a PCP verifier that makes two queries to a proof of almostlinear size and achieves subconstant probability of error o(1). The verifier performs only projection tests, meaning that the answer to the first query determines at most one accepting answer ..."
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Cited by 51 (5 self)
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to the second query. Previously, by the parallel repetition theorem, there were PCP Theorems with twoquery projection tests, but only (arbitrarily small) constant error and polynomial size [29]. There were also PCP Theorems with subconstant error and almostlinear size, but a constant number of queries
PCP characterizations of NP: Towards a polynomiallysmall errorprobability
 In Proc. 31st ACM Symp. on Theory of Computing
, 1999
"... This paper strengthens the lowerror PCP characterization of NP, coming closer to the upper limit of the BGLR conjecture. Consider the task of verifying a witness for the membership of a given input in an NP language, using a constant number of accesses. We show that it is possible to achieve an err ..."
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Cited by 27 (15 self)
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This paper strengthens the lowerror PCP characterization of NP, coming closer to the upper limit of the BGLR conjecture. Consider the task of verifying a witness for the membership of a given input in an NP language, using a constant number of accesses. We show that it is possible to achieve
PCP IN BUSINESS: A SPECTRUM OF EXPERIENCE
"... My introduction to PCP occurred in 1986 through my attendance at a seminar organised by George O’Connor ACX of Aer Rianta, the Irish Airports Authority, and facilitated by Fay Fransella from the PCP Centre in London, in the lovely city of Kilkenny in Ireland. I was researching for my PhD at Trinity ..."
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My introduction to PCP occurred in 1986 through my attendance at a seminar organised by George O’Connor ACX of Aer Rianta, the Irish Airports Authority, and facilitated by Fay Fransella from the PCP Centre in London, in the lovely city of Kilkenny in Ireland. I was researching for my Ph
Hallucinogens: LSD, Peyote, Psilocybin, and PCP
"... some plants and mushrooms (or their extracts) have been used—mostly during religious rituals—for centuries. Almost all hallucinogens contain nitrogen and are classified as alkaloids. Many hallucinogens have chemical structures similar to those of natural neurotransmitters (e.g., acetylcholine, sero ..."
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four common types of hallucinogens: • LSD (dlysergic acid diethylamide) is one of the most potent moodchanging chemicals. It was discovered in 1938 and is manufactured from lysergic acid, which is found in ergot, a fungus that grows on rye and other grains. • Peyote is a small, spineless cactus
PCP Characterizations of NP: Towards a PolynomiallySmall ErrorProbability
, 1999
"... this paper we show a PCPcharacterization of NP of small (subconstant) error probability. In addition, we impose additional structure on the localreaders, namely require the tests to be quadraticequations over some finite field. We define the gap version of the Maximum QuadraticSolvability proble ..."
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this paper we show a PCPcharacterization of NP of small (subconstant) error probability. In addition, we impose additional structure on the localreaders, namely require the tests to be quadraticequations over some finite field. We define the gap version of the Maximum Quadratic
Results 1  10
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106