# pcp theorem造句

## 例句與造句

- Any NP-complete problem by the
*PCP theorem*. - In 2005 Irit Dinur discovered a different proof of the
*PCP theorem*, using expander graphs. - The
*PCP theorem*is the culmination of a long line of work on interactive proofs and probabilistically checkable proofs. - Furthermore, the
*PCP theorem*asserts that the number of proof accesses can be brought all the way down to a constant. - Expander graphs have found extensive applications in computer science, in designing algorithms, L ( ) and the
*PCP theorem*( ). - It's difficult to find
*pcp theorem*in a sentence. 用*pcp theorem*造句挺難的 - These results are sometimes also called
*PCP theorems*because they can be viewed as probabilistically checkable proofs for NP with some additional structure. - He was a winner of the G鰀el Prize in 2001 for his work on the
*PCP theorem*and its applications to hardness of approximation. - This result paved the way for the celebrated
*PCP theorem*, which can be considered to be a " scaled-down " version of this theorem. - The
*PCP theorem*is the cornerstone of the theory of computational hardness of approximation, which investigates the inherent difficulty in designing efficient approximation algorithms for various optimization problems. - The name of this theorem ( the "
*PCP theorem*" ) probably comes either from "'" PCP " "'meaning " probabilistically checkable proof ", or from the notation mentioned above ( or both ). - In computational complexity theory, "'( SAT, ?-UNSAT ) "'is a language that is used in the proof of the
*PCP theorem*, which relates the language NP to probabilistically checkable proof systems. - The 2001 G鰀el Prize was awarded to Sanjeev Arora, Uriel Feige, Shafi Goldwasser, Carsten Lund, L醩zl?Lov醩z, Rajeev Motwani, Shmuel Safra, Madhu Sudan, and Mario Szegedy for work on the
*PCP theorem*and its connection to hardness of approximation. - After Arora et al . proved the
*PCP theorem*a year later, it has now been shown that Johnson's 1974 approximation algorithms for Max SAT, Set Cover, Independent Set and Coloring all achieve the optimal approximation ratio, assuming P ! = NP. - Building upon previous work on the
*PCP theorem*, Johan H錽tad showed that, assuming P ` " NP, no polynomial-time algorithm for MAX 3SAT can achieve a performance ratio exceeding 7 / 8, even when restricted to satisfiable instances of the problem in which each clause contains exactly three literals. - The
*PCP theorem*says that for some universal constant " K ", for every " n ", any mathematical proof of length " n " can be rewritten as a different proof of length poly ( " n " ) that is formally verifiable with 99 % accuracy by a randomized algorithm that inspects only " K " letters of that proof.