{"id":"doubling-loop-always-terminates","text":"The while loop in `find_final_value` always terminates because `original` strictly increases (doubles) each iteration and the lookup set has a finite maximum value.","truth_value":"IN","source":"entries/2026/06/06/keep-multiplying-found-values-by-two-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"doubling-loop-always-terminates","truth_value":"IN","reason":"premise"}]}}