{"id":"work-elimination-at-two-abstraction-levels","text":"Solutions eliminate unnecessary computation at two levels: mathematical reduction removes entire computational phases (closed-form replaces iteration), while early-exit pruning removes unnecessary iterations within remaining phases — together minimizing work from both above and below.","truth_value":"OUT","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["mathematical-insight-replaces-brute-computation","greedy-with-early-exit-maximizes-pruning"],"outlist":[],"label":"Mathematical reduction and early-exit pruning are complementary — one eliminates phases, the other truncates them"}],"dependents":["correctness-and-efficiency-unified-by-construction"],"metadata":{"last_reviewed":"2026-06-07T09:26:29","review_result":"pass","_retracted":true},"created_at":"","updated_at":"2026-06-17T15:31:46+00:00","reviewed_at":"","verified_at":"","retracted_at":"2026-06-17T15:31:46+00:00","explanation":{"steps":[{"node":"work-elimination-at-two-abstraction-levels","truth_value":"OUT","reason":"SL justification invalid","failed_antecedents":["greedy-with-early-exit-maximizes-pruning"],"label":"Mathematical reduction and early-exit pruning are complementary — one eliminates phases, the other truncates them"}]}}