{"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":[{"type":"SL","antecedents":["gossip-convergence-is-olog-n","ring-topology-convergence-is-linear-in-node-count"],"outlist":[],"label":"O(log N) membership convergence vs O(N) data convergence creates a growing window where the cluster knows who's alive but hasn't finished replicating — the gap widens with cluster size"}],"dependents":["membership-detection-unreliable-in-accuracy-and-propagation"],"metadata":{"last_reviewed":"2026-05-30T09:01:17","review_result":"pass"},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"convergence-rate-asymmetry-membership-vs-data","truth_value":"IN","reason":"SL justification valid","antecedents":["gossip-convergence-is-olog-n","ring-topology-convergence-is-linear-in-node-count"],"label":"O(log N) membership convergence vs O(N) data convergence creates a growing window where the cluster knows who's alive but hasn't finished replicating — the gap widens with cluster size"},{"node":"gossip-convergence-is-olog-n","truth_value":"IN","reason":"premise"},{"node":"ring-topology-convergence-is-linear-in-node-count","truth_value":"IN","reason":"SL justification valid","antecedents":["ring-requires-n-minus-one-rounds","ring-topology-needs-multiple-sync-rounds","ring-requeues-via-apply-remote-change"],"label":"Three observations pin convergence delay to the store-and-forward mechanism: apply-remote-change requeues to pending, and pending drains one hop per sync"},{"node":"ring-requires-n-minus-one-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-topology-needs-multiple-sync-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-requeues-via-apply-remote-change","truth_value":"IN","reason":"premise"}]}}