{"id":"recursive-triad-traversal-flexibility","text":"The Composite-Iterator-Visitor recursive triad achieves flexible traversal through Iterator's dual design axes: the control axis (external vs. internal iteration) and the concern axis (traversal vs. action orthogonality) multiply the triad's operational capability, enabling diverse traversal strategies (preorder, filtered, cursor-based) independently combined with diverse operations (type-checking, accumulation, transformation).","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["composite-iterator-visitor-recursive-triad","iterator-dual-design-axes"],"outlist":[],"label":"Iterator's two orthogonal axes multiply the recursive triad's combinatorial capability"}],"dependents":["null-iterator-completes-recursive-traversal","recursive-structures-complete-traversal-and-routing","recursive-traversal-routing-type-safety-bounded","visitor-recursive-stateful-operations"],"metadata":{"source_type":"derived","review_result":"pass"},"created_at":"2026-06-17T23:12:23+00:00","updated_at":"2026-06-18T06:15:08+00:00","reviewed_at":"2026-06-18T06:15:08+00:00","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"recursive-triad-traversal-flexibility","truth_value":"IN","reason":"SL justification valid","antecedents":["composite-iterator-visitor-recursive-triad","iterator-dual-design-axes"],"label":"Iterator's two orthogonal axes multiply the recursive triad's combinatorial capability"},{"node":"composite-iterator-visitor-recursive-triad","truth_value":"IN","reason":"SL justification valid","antecedents":["composite-uniform-leaf-composite-treatment","iterator-separates-traversal-from-aggregate","visitor-enables-open-ended-operations","gof-iterator-related-composite-factory-memento"],"label":"Four base beliefs establish that these three patterns address orthogonal concerns over the same recursive data; the triad is the emergent structural relationship"},{"node":"composite-uniform-leaf-composite-treatment","truth_value":"IN","reason":"premise"},{"node":"iterator-separates-traversal-from-aggregate","truth_value":"IN","reason":"premise"},{"node":"visitor-enables-open-ended-operations","truth_value":"IN","reason":"premise"},{"node":"gof-iterator-related-composite-factory-memento","truth_value":"IN","reason":"premise"},{"node":"iterator-dual-design-axes","truth_value":"IN","reason":"SL justification valid","antecedents":["external-vs-internal-iterator-flexibility-tradeoff","traversal-and-action-orthogonal-concerns"],"label":"Two independently described Iterator design dimensions (control placement, concern separation) form a two-axis design space"},{"node":"external-vs-internal-iterator-flexibility-tradeoff","truth_value":"IN","reason":"premise"},{"node":"traversal-and-action-orthogonal-concerns","truth_value":"IN","reason":"premise"}]}}