Jan 21, 2010 · In time poly (|x|,log|y|,logT(|x| + |y|)) it decides the membership of a purported word (x,y) by reading the explicit input x entirely and ...

Aug 25, 2006 · Two special cases of interest are: 1. Letting ϵ(m) be an arbitrarily small constant, yields query complexity O(1/ϵ(m)) and random- ness ...

Jan 21, 2010 · Specializing Definition 2 to languages where the second component (i.e., the implicit input for the PCPP-verifier) is the empty string λ and ...

May 24, 2005 · This PCP matches the query com- plexity and proof length of the system of [BGH+04], which was proved only for NP and uses a polynomial- time ...

In time poly (| x |,log| y |,log T (| x | + | y |)) it decides the membership of a purported word ( x , y ) by reading the explicit input x entirely and ...

Theorem 2.10 gives a construction of PCPPs for all languages in NP with shorter proofs of proximity, though with larger query complexity than that of [9].

Oct 22, 2024 · We show that every language in NP has a probabilistically checkable proof of proximity (i.e., proofs asserting that an instance is "close" ...

1, No. 2 | 1 September 2009. Short PCPPs verifiable in polylogarithmic time with O(1) queries. Annals of Mathematics and Artificial Intelligence, Vol. 56, No ...

Harsha, M. Sudan, and S. Vadhan. Short PCPs verifiable in polylogarithmic time. In Proceedings of the 20th IEEE Conference on Computational Complexity, pages ...

We give constructions of probabilistically checkable proofs (PCPs) of length n · polylogn proving satisfiability of circuits of size n that can verified by ...