Commit and Prove is a cryptographic primitive where a party first commits to a value, hiding it from others, and later reveals the value along with a proof that it corresponds to the original commitment. This two-phase process ensures that the committed value cannot be altered after the commitment phase, maintaining its integrity. The “commit” phase involves generating a compact representation of data, while the “prove” phase demonstrates knowledge of the original data without necessarily disclosing it. This mechanism is foundational for various zero-knowledge protocols and secure multi-party computations.
Context
The Commit and Prove scheme is a central element in the advancement of privacy-preserving technologies within blockchain, particularly for scaling solutions and confidential transactions. Current research focuses on optimizing the computational efficiency of these proofs to enable faster and cheaper execution on decentralized networks. Its application is expanding to verifiable computations, allowing participants to confirm the correctness of off-chain calculations without re-executing them.
New modularity lemmata for Random Variable Commitment Schemes enable provably general certified differential privacy protocols, securing decentralized data analysis.
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