Sub-linear verification describes a property of cryptographic proof systems where the computational effort required by a verifier to check a proof is less than linear with respect to the size of the computation being proven. This means the verifier can confirm the validity of a large computation by examining only a small fraction of the proof. It offers significant efficiency gains for complex operations.
Context
For scalable blockchain architectures and zero-knowledge proof systems, sub-linear verification is a highly sought-after characteristic. It enables a dramatic reduction in the resources needed to confirm the correctness of off-chain computations, thereby addressing blockchain scalability limitations. Advances in this area are critical for the practical deployment of sophisticated decentralized applications and for achieving high transaction throughput on public networks.
A novel Vector Hash Commitment achieves constant-size, transparent proofs, resolving the critical trade-off between ZK-SNARK succinctness and ZK-STARK setup-free security.
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