Polylogarithmic Proofs

Definition ∞ Polylogarithmic proofs refer to a class of cryptographic proof systems where the size of the proof and the time required to verify it are polylogarithmic in the size of the computation being proven. This efficiency is highly desirable for scalability in blockchain systems, as it allows for compact and fast verification of complex computations without re-executing them. They are central to certain zero-knowledge proof constructions.
Context ∞ Crypto news often discusses polylogarithmic proofs in the context of blockchain scalability solutions, particularly for layer-2 protocols and zero-knowledge rollups. These proofs enable off-chain computations to be verified efficiently on the main chain, significantly increasing transaction throughput. Advancements in polylogarithmic proof systems are crucial for making decentralized applications more performant and widely adoptable.