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Logarithmic Proofs

Definition ∞ Logarithmic proofs are a type of cryptographic proof system where the size of the proof and the time required for verification scale logarithmically with the size of the computation being proven. This efficiency makes them highly suitable for scaling blockchain transactions and enabling privacy-preserving computations. They significantly reduce the data overhead associated with verifying complex operations. This property enhances network throughput.
Context ∞ Logarithmic proofs are a crucial subject in discussions about blockchain scalability and zero-knowledge technologies. Key debates revolve around improving their practicality, reducing computational costs for provers, and expanding their applicability. Future advancements will likely see these proofs integrated into more layer-2 solutions and privacy-focused digital asset protocols.

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→Zero-Knowledge Proofs

→Batch Verification

→Logarithmic Proofs

Inner-Product Arguments over Integers for Succinct Zero-Knowledge Proofs

This research extends inner-product arguments to integers, enabling succinct, batchable zero-knowledge proofs for arithmetic circuits and range proofs.