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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Succinct Non-interactive Arguments via Linear Interactive Proofs
verfasst von : Nir Bitansky, Alessandro Chiesa, Yuval Ishai, Omer Paneth, Rafail Ostrovsky
Erschienen in: Theory of Cryptography
Verlag: Springer Berlin Heidelberg
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Succinct non-interactive arguments
(SNARGs) enable verifying NP statements with lower complexity than required for classical NP verification. Traditionally, the focus has been on minimizing the length of such arguments; nowadays researches have focused also on minimizing verification time, by drawing motivation from the problem of delegating computation.
A common relaxation is a
preprocessing
SNARG, which allows the verifier to conduct an expensive offline phase that is independent of the statement to be proven later. Recent constructions of preprocessing SNARGs have achieved attractive features: they are publicly-verifiable, proofs consist of only
O
(1) encrypted (or encoded) field elements, and verification is via arithmetic circuits of size linear in the NP statement. Additionally, these constructions seem to have “escaped the hegemony” of probabilistically-checkable proofs (PCPs) as a basic building block of succinct arguments.