Definition ∞ Linear time arguments are a class of cryptographic proofs where the time required to generate or verify the proof scales proportionally with the size of the computation being verified. This characteristic is highly desirable for efficiency in verifiable computation systems. It contrasts with systems where proof generation or verification time increases polynomially or worse. Such arguments offer a practical balance between security and performance.
Context ∞ Linear time arguments are a focus of active research and development in the field of zero-knowledge proofs and blockchain scalability. Their efficiency is critical for enabling practical applications of verifiable computation, particularly for large-scale operations. Advancements in constructing these arguments directly contribute to reducing the computational overhead for rollups and other layer-2 solutions. Improving these arguments helps to make decentralized applications more accessible.
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