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Set Commitments

Definition

Set commitments are cryptographic constructs that allow a party to commit to a collection of items without disclosing the items themselves. This primitive enables the creation of a compact cryptographic representation of a set of data elements. A prover can subsequently demonstrate that a specific element is either present in or absent from the committed set, all without revealing any other members of the set. Such commitments are fundamental for privacy-preserving membership proofs and verifiable data structures within decentralized applications.