Definition ∞ Logarithmic verification cost describes a computational property where the resources required to verify a computation or data set grow proportionally to the logarithm of the input size. This efficiency is highly desirable in decentralized systems, as it allows for the verification of large amounts of data with minimal computational overhead. It signifies a significant improvement over linear or polynomial cost structures. This characteristic is crucial for scalable blockchain solutions.
Context ∞ Logarithmic verification cost is a central concept in the advancement of zero-knowledge proofs and scalable blockchain solutions, particularly in the context of rollups and layer-2 protocols. The discussion focuses on achieving this efficiency to reduce transaction fees and increase network throughput without compromising security. Future research aims to further optimize cryptographic techniques to attain even lower verification costs, enabling broader adoption of decentralized applications.
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