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- W1994524667 abstract "We study non-Boolean PCPs that have perfect completeness and query three positions in the proof. For the case when the proof consists of values from a domain of size d for some integer constant d ≥ 2, we construct a nonadaptive PCP with perfect completeness and soundness d-1 + d-2 + e, for any constant e > 0, and an adaptive PCP with perfect completeness and soundness d-1 + e, for any constant e > 0. The latter PCP can be converted into a nonadaptive PCP with perfect completeness and soundness d-1 + e, for any constant e > 0, where four positions are read from the proof. These results match the best known constructions for the case d = 2 and our proofs also show that the particular predicates we use in our PCPs are nonapproximable beyond the random assignment threshold. © 2005 Wiley Periodicals, Inc. Random Struct. Alg., 2005" @default.
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- W1994524667 date "2005-08-01" @default.
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- W1994524667 title "Three-query PCPs with perfect completeness over non-Boolean domains" @default.
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