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Logarithmic Convergence

Definition

Logarithmic Convergence describes a property in distributed systems where the time required for all nodes to reach agreement on a shared state grows logarithmically with the size of the network. This implies that even as the number of participants significantly increases, the time to achieve consensus rises at a much slower rate. It is a desirable characteristic for scalable blockchain protocols, allowing them to maintain efficiency with expanding user bases. This property is crucial for maintaining network performance.