Definition ∞ Proof system integrity is the assurance that a cryptographic proof system correctly verifies the validity of a statement without revealing extraneous information, and that it cannot be deceived by a malicious prover. This concerns the soundness, completeness, and zero-knowledge properties of systems like SNARKs or STARKs. Maintaining high proof system integrity is paramount for the trustworthiness of scaling solutions and privacy protocols that rely on these advanced cryptographic proofs. Any compromise could undermine the entire system’s reliability.
Context ∞ Zero-knowledge proof systems are fundamental to many layer two scaling solutions and privacy-focused blockchains. News often covers audits or research findings related to the integrity of these complex cryptographic constructions. Ensuring the mathematical soundness and implementation correctness of proof systems is a continuous and critical effort for the security of advanced digital asset protocols.