{"id":"fixed-point-correctness-requires-distinct-values","text":"The fixed-point pruning logic depends on `arr[j] - j` being strictly increasing; duplicate values break this monotonicity invariant and could cause the algorithm to miss valid fixed points.","truth_value":"IN","source":"entries/2026/06/06/fixed-point-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"fixed-point-correctness-requires-distinct-values","truth_value":"IN","reason":"premise"}]}}