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Zero-Knowledge Proofs on Distributed Data and Cryptographic Applications -
Zero-knowledge proofs on distributed data (D-ZK) give a means for proving statements on data held distributedly in pieces or secret shared across multiple parties. Concretely, a prover who holds input x wishes to convince a collection of verifiers, each holding a piece of x, that x is indeed contained in some language. The zero knowledge property requires that by participating in the protocol, even subsets of the verifiers do not learn anything about x beyond their original knowledge. 

In this talk, we will introduce and discuss the notion of D-ZK proofs, and present recent applications to cryptographically secure computation protocols.

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