Definition ∞ Proof Systems Liveness refers to the property of a cryptographic proof system ensuring that it consistently progresses and generates valid proofs within expected timeframes. This guarantees the system remains operational, responsive, and able to process new information without undue delays. A live proof system is essential for the continuous and reliable functioning of its dependent applications.
Context ∞ This property is crucial for the reliability of zero-knowledge rollups and other scaling solutions that depend on proofs for transaction validation. Maintaining liveness prevents delays in transaction finality and ensures the continuous processing of network activity. Research efforts focus on designing proof systems that offer strong liveness guarantees even under adverse network conditions.
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