In computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity...

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)]...

checkable proof, a notion in the theory of computational complexity PCP theorem, a related theorem Performance Co-Pilot, an open-source performance monitoring...

(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...

The classical PCP theorem states that simulating the ground states of classical systems is hard. The quantum analog of the PCP theorem concerns simulations...

theory) PCP theorem (computational complexity theory) Pseudorandom generator theorem (computational complexity theory) Quantum threshold theorem (computer...

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...

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...

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...

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...

Independent Set and the famous PCP theorem, that modern tools for proving inapproximability results were uncovered. The PCP theorem, for example, shows that...

computational complexity theory, such as SL = L (Reingold (2008)) and the PCP theorem (Dinur (2007)). In cryptography, expander graphs are used to construct...

NP-hard optimization problem that is hard to approximate, see set cover. PCP theorem Sahni, Sartaj; Gonzalez, Teofilo (1976), "P-complete approximation problems"...

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...

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...

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...

"for the development of interactive proof systems" and 2001 "for the PCP theorem and its applications to hardness of approximation"); RSA Professor of...

{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...

(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...

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...

path system problem Patricia tree pattern pattern element P-complete PCP theorem Peano curve Pearson's hashing perfect binary tree perfect hashing perfect...

Technology PhD: UC Berkeley Known for Probabilistically checkable proofs PCP theorem Scientific career Fields Theoretical computer science Institutions Princeton...

approximation—and the theory of probabilistically checkable proofs (PCP) and the PCP theorem, which gives stronger characterizations of the class NP, via a...

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...

on optimal inapproximability results. In particular, he improved the PCP theorem (which won the same prize in 2001) to give a probabilistic verifier for...

Pompeiu's theorem is a result of plane geometry, discovered by the Romanian mathematician Dimitrie Pompeiu. The theorem is simple, but not classical....

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...

pioneered and named The Internet of Things at M.I.T. Sanjeev Arora – PCP theorem Winifred "Tim" Alice Asprey – established the computer science curriculum...

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...

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...