Probabilistically Checkable Proofs are a type of cryptographic proof where a verifier can check the correctness of a mathematical proof by examining only a small, randomly selected portion of it. This verification process requires significantly less computation than re-executing the entire computation. PCPs offer strong guarantees of correctness with high probability.
Context
PCPs are a foundational concept for zero-knowledge proofs, which are crucial for privacy and scalability solutions in blockchain technology. They enable verifiable computation where a prover convinces a verifier of a statement’s truth without revealing any other information. The practical application of PCPs is central to the development of advanced layer-2 scaling solutions and privacy-preserving decentralized applications, enhancing efficiency and security.
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