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A proof-of-replication PoRep is a proof system that a server can use to demonstrate to a network in a publicly verifiable way that it is dedicating unique resources to storing one or more replicas of a data file. In this post, we discuss a recent result from Cryptonet about the impossibility of succinct vector commitments in groups of known prime order. Distributed systems. This problem arises in several applications including privacy-preserving distributed ledgers e. It uses polynomial commitments and sumchecks to prove the satisfiability of an R1CS system, and applies several optimizations to reduce the trusted setup size, improve proving times, and achieve fast verification and small proof size.
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