Definition ∞ Logarithmic communication cost refers to a desirable property in distributed systems where the resources required for nodes to communicate and reach agreement scale logarithmically with the number of participants. This means that as the network grows, the increase in communication overhead is relatively small, making the system more efficient and scalable. Achieving this efficiency is crucial for maintaining high performance in large-scale decentralized networks. It represents a significant improvement over linear or polynomial scaling.
Context ∞ The pursuit of logarithmic communication costs is a critical goal in the design of highly scalable blockchain protocols and distributed ledger technologies. Researchers and developers frequently discuss new consensus algorithms and network architectures that aim to achieve this efficiency, particularly for very large validator sets. A critical future development involves the practical implementation of protocols that demonstrably exhibit logarithmic scaling in real-world, adversarial network environments.
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