{"id":"hybrid-fanout-bounds-both-write-and-read-cost","text":"The hybrid fan-out strategy bounds both paths: the follower-count threshold limits write amplification to non-celebrity authors, and heap-merge limits read cost to O(k log n) for pull-based celebrity retrieval.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["news-feed-hybrid-splits-on-follower-count","news-feed-pull-uses-heap-merge"],"outlist":[],"label":"Threshold caps write fan-out; heap merge caps read materialization — each path has an independent cost bound"}],"dependents":["hybrid-fanout-instantiates-adaptive-cost-model"],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"hybrid-fanout-bounds-both-write-and-read-cost","truth_value":"IN","reason":"SL justification valid","antecedents":["news-feed-hybrid-splits-on-follower-count","news-feed-pull-uses-heap-merge"],"label":"Threshold caps write fan-out; heap merge caps read materialization — each path has an independent cost bound"},{"node":"news-feed-hybrid-splits-on-follower-count","truth_value":"IN","reason":"premise"},{"node":"news-feed-pull-uses-heap-merge","truth_value":"IN","reason":"premise"}]}}