{"id":"simulation-elimination-via-preprocessing","text":"Both sort preprocessing and Counter-based frequency counting serve as simulation eliminators: sort replaces iterative simulation by establishing structural invariants that make outcomes directly readable, while Counter collapses position-dependent queue simulation to position-independent frequency analysis — two complementary preprocessing strategies achieving the same elimination goal.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["sort-as-simulation-substitute","counter-over-simulation-pattern"],"outlist":[],"label":"Two orphan beliefs share the insight that preprocessing eliminates quadratic simulation"}],"dependents":[],"metadata":{"source_type":"derived","last_reviewed":"2026-06-07T22:02:22","review_result":"pass"},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"simulation-elimination-via-preprocessing","truth_value":"IN","reason":"SL justification valid","antecedents":["sort-as-simulation-substitute","counter-over-simulation-pattern"],"label":"Two orphan beliefs share the insight that preprocessing eliminates quadratic simulation"},{"node":"sort-as-simulation-substitute","truth_value":"IN","reason":"premise"},{"node":"counter-over-simulation-pattern","truth_value":"IN","reason":"premise"}]}}