In computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity...
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checkable proof, a notion in the theory of computational complexity PCP theorem, a related theorem Performance Co-Pilot, an open-source performance monitoring...
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Probabilistically checkable proof (redirect from PCP theory)
follows: PCP [O(log n),O(1)] = NP (the PCP theorem) PCP [poly(n),O(1)] = PCP [poly(n),poly(n)] = NEXP (MIP = NEXP). It is also known that PCP[r(n), q(n)]...
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The classical PCP theorem states that simulating the ground states of classical systems is hard. The quantum analog of the PCP theorem concerns simulations...
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Ostrowski's theorem (number theory) Ostrowski–Hadamard gap theorem (complex analysis) PCP theorem (computational complexity theory) Paley's theorem (algebra)...
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Interactive proof system (section PCP)
paved the way for the celebrated PCP theorem, which can be considered to be a "scaled-down" version of this theorem. MIP also has the helpful property...
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Freedman formulated the NLTS conjecture, a precursor to a quantum PCP theorem (qPCP). He is invited to speak at the 2022 International Congress of Mathematicians...
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MAX-3SAT (section Theorem 1 (inapproximability))
(polynomial-time) algorithm with the same approximation guarantees. The PCP theorem implies that there exists an ε > 0 such that (1-ε)-approximation of MAX-3SAT...
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NLTS conjecture (redirect from NLTS Theorem)
low-energy trivial state (NLTS) conjecture is a precursor to a quantum PCP theorem (qPCP) and posits the existence of families of Hamiltonians with all low-energy...
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doi:10.1145/1568318.1568324. S2CID 207156623. Dinur, Irit (2007). "The PCP theorem by gap amplification". Journal of the ACM. 54 (3): 12–es. doi:10.1145/1236457...
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NP-hard optimization problem that is hard to approximate, see set cover. PCP theorem Sahni, Sartaj; Gonzalez, Teofilo (1976), "P-complete approximation problems"...
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"for the development of interactive proof systems" and 2001 "for the PCP theorem and its applications to hardness of approximation"); RSA Professor of...
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of California, Berkeley. Dinur published in 2006 a new proof of the PCP theorem that was significantly simpler than previous proofs of the same result...
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computational complexity theory, such as SL = L (Reingold (2008)) and the PCP theorem (Dinur (2007)). In cryptography, expander graphs are used to construct...
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on optimal inapproximability results. In particular, he improved the PCP theorem (which won the same prize in 2001) to give a probabilistic verifier for...
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Independent Set and the famous PCP theorem, that modern tools for proving inapproximability results were uncovered. The PCP theorem, for example, shows that...
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(BASES). He was a winner of the Gödel Prize in 2001 for his work on the PCP theorem and its applications to hardness of approximation. Motwani was found...
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approximated arbitrarily well unless P = NP. Using techniques from the PCP theorem, Dinur and Safra proved in 2005 that minimum vertex cover cannot be approximated...
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Technology PhD: UC Berkeley Known for Probabilistically checkable proofs PCP theorem Scientific career Fields Theoretical computer science Institutions Princeton...
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some respects as it does not cover more recent development such as the PCP theorem. It is nevertheless still in print and is regarded as a classic: in a...
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Pompeiu's theorem is a result of plane geometry, discovered by the Romanian mathematician Dimitrie Pompeiu. The theorem is simple, but not classical....
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path system problem Patricia tree pattern pattern element P-complete PCP theorem Peano curve Pearson's hashing perfect binary tree perfect hashing perfect...
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with Amos Fiat and Adi Shamir. He won the Gödel Prize in 2001 "for the PCP theorem and its applications to hardness of approximation". Uriel Feige at the...
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pioneered and named The Internet of Things at M.I.T. Sanjeev Arora – PCP theorem Winifred "Tim" Alice Asprey – established the computer science curriculum...
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approximation—and the theory of probabilistically checkable proofs (PCP) and the PCP theorem, which gives stronger characterizations of the class NP, via a...
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Information from an Oracle, J. Comput. Syst. Sci., 1989 S. Arora, Around the PCP Theorem, 1996 J. Feigenbaum, L. Fortnow, On the Random-self-reducibility of Complete...
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{1}{2}}OPT\end{aligned}}} This algorithm cannot be further optimized by the PCP theorem unless P = NP. Other Stochastic SAT solvers, such as WalkSAT and GSAT...
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tests for whether a Boolean function is linear, a key component of the PCP theorem in computational complexity theory. In the theory of property testing...
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not admit a PTAS unless P=NP. However, the proof of this relies on the PCP theorem, while proofs of MaxSNP-completeness are often elementary. APX Feder...
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have three literals in every clause. Building upon previous work on the PCP theorem, Johan Håstad showed that, assuming P ≠ NP, no polynomial-time algorithm...
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