{"id":"convergence-rate-asymmetry-membership-vs-data","text":"Membership and data convergence operate at fundamentally different rates: gossip-based membership changes propagate in O(log N) rounds via epidemic-style random peer selection, but data convergence in ring topology requires O(N) sync rounds because each round advances changes by exactly one hop via store-and-forward requeuing — creating a window proportional to cluster size where the membership view is current but data remains stale.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"explanation":{"steps":[{"node":"convergence-rate-asymmetry-membership-vs-data","truth_value":"IN","reason":"premise"}]}}