Abstract
This entry formally verifies the set reconciliation algorithm with nearly optimal communication complexity, due to Y. Minsky et al. [1]. The algorithm allows two communication partners, who have a similar pair of sets to reconcile them while using messages of nearly optimal size, proportional to a bound on the maximum symmetric difference between the sets.
The formalization also introduces an optimization, which reduces the communication complexity even further compared to the original publication.
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Related publications
- Minsky, Y., Trachtenberg, A., & Zippel, R. (2003). Set reconciliation with nearly optimal communication complexity. IEEE Transactions on Information Theory, 49(9), 2213–2218. https://doi.org/10.1109/tit.2003.815784