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Succinct Proof Systems

Definition

Succinct proof systems are cryptographic constructions that allow a party to prove the correctness of a computation or statement to another party with a proof that is significantly smaller than the computation itself. These systems also enable very fast verification of the proof, regardless of the complexity of the original computation. They are essential for achieving scalability and privacy in decentralized systems by minimizing the data that needs to be transmitted and verified on-chain. This category includes zk-SNARKs and zk-STARKs.