Membership proofs are cryptographic constructs that verify an element belongs to a specific set without disclosing the element itself or other set members. These proofs confirm inclusion within a collection of data, such as a whitelist or a group of authorized users. They are crucial for privacy-preserving applications and identity management on decentralized networks. Such proofs allow for selective disclosure of information while maintaining data integrity.
Context
The application of membership proofs is gaining prominence in privacy-focused blockchain solutions and confidential transaction systems. Discussions often involve their use in compliant decentralized finance and verifiable credential systems. Observing new protocols and regulatory guidance related to digital identity and data privacy provides insight into their expanding utility.
TreePIR enables light clients to privately retrieve Merkle proofs from full nodes, fundamentally solving the transaction privacy dilemma in state verification.
New cryptographic accumulator definitions introduce delegatable proofs, enabling light clients to securely verify state without full synchronization or storage.
This new RSA accumulator construction bypasses the slow "hashing into primes" bottleneck, fundamentally enabling succinct, dynamic, and practical set membership proofs on-chain.
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