{"id":"lexi-empirically-validates-recursive-ocp-capability","text":"Lexi's empirical validation of pattern composition as design methodology specifically substantiates the recursive subsystem's OCP-complete stateful computation: Lexi's document structure (Composite) with spelling-checking and hyphenation visitors concretely demonstrates the theoretical capability of extensible stateful operations over recursive structures in a production-quality application.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["lexi-validates-methodology-with-empirical-grounding","visitor-recursive-computation-with-ocp-coverage"],"outlist":[],"label":"Lexi concretely demonstrates the recursive-OCP capability predicted by the theoretical derivation chain"}],"dependents":["lexi-validates-both-behavioral-subsystems"],"metadata":{"source_type":"derived","review_result":"invalid"},"created_at":"2026-06-18T00:02:15+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":"lexi-empirically-validates-recursive-ocp-capability","truth_value":"IN","reason":"SL justification valid","antecedents":["lexi-validates-methodology-with-empirical-grounding","visitor-recursive-computation-with-ocp-coverage"],"label":"Lexi concretely demonstrates the recursive-OCP capability predicted by the theoretical derivation chain"},{"node":"lexi-validates-methodology-with-empirical-grounding","truth_value":"IN","reason":"SL justification valid","antecedents":["lexi-validates-pattern-composition-as-design-methodology","design-knowledge-empirically-grounded-methodology"],"label":"Lexi concretely validates pattern composition; empirical grounding ensures the composed patterns are practice-confirmed"},{"node":"lexi-validates-pattern-composition-as-design-methodology","truth_value":"IN","reason":"SL justification valid","antecedents":["lexi-validates-pattern-composition-as-design-methodology","gof-concrete-abstract-validation-pattern"],"label":"Lexi's composition approach is validated by the broader GoF validation pattern that confirms it at system level"},{"node":"lexi-validates-pattern-composition-as-design-methodology","truth_value":"IN","reason":"circular dependency"},{"node":"gof-concrete-abstract-validation-pattern","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-spanning-concretely-exemplified","bridge-af-concretely-instantiates-dip","et-plus-plus-validates-pattern-comprehensiveness"],"label":"Three concrete exemplifications at pattern/mechanism/system levels = systematic validation pattern across the GoF"},{"node":"solid-spanning-concretely-exemplified","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-judgment-spans-modification-space","command-exemplifies-dimensional-judgment"],"label":"Command's concrete cross-dimensional bridging exemplifies and validates SOLID's claimed spanning of the full modification space"},{"node":"solid-judgment-spans-modification-space","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-judgment-empirically-validated-and-dimensioned","behavioral-four-dimensional-modification-space"],"label":"Validated judgment criteria extend across all four behavioral modification dimensions"},{"node":"solid-judgment-empirically-validated-and-dimensioned","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-validates-solid-as-judgment-framework","pattern-judgment-inter-and-intra-constraints"],"label":"depth-4 synthesis connecting empirical validation (SRP concretely resolves a tradeoff) to the dimensional structure of judgment it operates within"},{"node":"srp-validates-solid-as-judgment-framework","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-grounds-observer-mediator-decision","solid-grounds-pattern-judgment"],"label":"SRP/Observer-Mediator is a concrete instance proving the general SOLID→judgment claim"},{"node":"srp-grounds-observer-mediator-decision","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-precise-actor-semantics","observer-mediator-distribution-centralization-tradeoff"],"label":"SRP's actor semantics directly resolves which communication topology (distributed vs centralized) preserves responsibility boundaries"},{"node":"srp-precise-actor-semantics","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-actor-based-not-technical","srp-responsibility-means-one-reason-to-change","srp-canonical-definition"],"label":"The actor framing is what transforms SRP from a vague guideline into a precise design constraint; the emergent insight is which component provides the precision"},{"node":"srp-actor-based-not-technical","truth_value":"IN","reason":"premise"},{"node":"srp-responsibility-means-one-reason-to-change","truth_value":"IN","reason":"premise"},{"node":"srp-canonical-definition","truth_value":"IN","reason":"premise"},{"node":"observer-mediator-distribution-centralization-tradeoff","truth_value":"IN","reason":"SL justification valid","antecedents":["mediator-centralizes-observer-distributes","observers-more-reusable-than-mediators","gof-observer-unexpected-updates-liability","gof-mediator-centralizes-control-tradeoff"],"label":"Two base beliefs on the relationship + one liability each combine into a unified architectural tradeoff"},{"node":"mediator-centralizes-observer-distributes","truth_value":"IN","reason":"premise"},{"node":"observers-more-reusable-than-mediators","truth_value":"IN","reason":"premise"},{"node":"gof-observer-unexpected-updates-liability","truth_value":"IN","reason":"premise"},{"node":"gof-mediator-centralizes-control-tradeoff","truth_value":"IN","reason":"premise"},{"node":"solid-grounds-pattern-judgment","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-mutual-reinforcement","pattern-judgment-required"],"label":"SOLID gives the vocabulary and criteria for the judgment that the GoF warns is necessary"},{"node":"solid-mutual-reinforcement","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-violation-increases-coupling","ocp-open-for-extension-closed-for-modification","lsp-substitutability-of-subtypes","isp-no-forced-dependency-on-unused-methods","dip-depend-on-abstractions-not-concretions"],"label":"Five SOLID principles form a reinforcing system, not independent rules"},{"node":"srp-violation-increases-coupling","truth_value":"IN","reason":"premise"},{"node":"ocp-open-for-extension-closed-for-modification","truth_value":"IN","reason":"premise"},{"node":"lsp-substitutability-of-subtypes","truth_value":"IN","reason":"premise"},{"node":"isp-no-forced-dependency-on-unused-methods","truth_value":"IN","reason":"premise"},{"node":"dip-depend-on-abstractions-not-concretions","truth_value":"IN","reason":"premise"},{"node":"pattern-judgment-required","truth_value":"IN","reason":"SL justification valid","antecedents":["patterns-should-not-be-applied-indiscriminately","gof-language-choice-affects-pattern-applicability","dip-overgeneralization-pitfall"],"label":"Three independent cautions converge on the need for judgment in pattern application"},{"node":"patterns-should-not-be-applied-indiscriminately","truth_value":"IN","reason":"premise"},{"node":"gof-language-choice-affects-pattern-applicability","truth_value":"IN","reason":"premise"},{"node":"dip-overgeneralization-pitfall","truth_value":"IN","reason":"premise"},{"node":"pattern-judgment-inter-and-intra-constraints","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-exposes-pattern-mutual-constraints","observer-mediator-distribution-centralization-tradeoff"],"label":"Visitor demonstrates intra-pattern constraints (stable structure required) while Observer-Mediator demonstrates inter-pattern tradeoffs"},{"node":"visitor-exposes-pattern-mutual-constraints","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-inverts-ocp-axis","pattern-judgment-required"],"label":"Visitor's OCP inversion is the strongest evidence for why pattern judgment matters"},{"node":"visitor-inverts-ocp-axis","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-enables-open-ended-operations","visitor-tradeoff-stable-structure-required","ocp-open-for-extension-closed-for-modification"],"label":"Visitor's open-ops/closed-structure stance is the precise mirror of OCP's open-structure/closed-ops stance"},{"node":"visitor-enables-open-ended-operations","truth_value":"IN","reason":"premise"},{"node":"visitor-tradeoff-stable-structure-required","truth_value":"IN","reason":"premise"},{"node":"behavioral-four-dimensional-modification-space","truth_value":"IN","reason":"SL justification valid","antecedents":["behavioral-modification-three-dimensions","state-strategy-dual-behavioral-composition"],"label":"The three-dimension taxonomy (wrapping, decoupling, capture) omits State's transition mechanism; State/Strategy duality adds a fourth dimension for how behavioral variation is triggered (state-bound vs client-selected)"},{"node":"behavioral-modification-three-dimensions","truth_value":"IN","reason":"SL justification valid","antecedents":["behavioral-modification-bifurcates-wrapping-and-decoupling","command-dual-role-decoupling-and-state"],"label":"A depth-3 (bifurcation into wrapping and decoupling) and depth-2 (Command's dual role) combine to reveal a third dimension (state capture) and a cross-cutting pattern (Command)"},{"node":"behavioral-modification-bifurcates-wrapping-and-decoupling","truth_value":"IN","reason":"SL justification valid","antecedents":["wrapping-taxonomy-access-to-algorithm","decoupling-topology-composition-based"],"label":"Two independent composition dimensions — wrapping for intra-object modification, topology for inter-object coordination"},{"node":"wrapping-taxonomy-access-to-algorithm","truth_value":"IN","reason":"SL justification valid","antecedents":["proxy-decorator-wrapping-spectrum","skin-vs-guts-extension-spectrum"],"label":"Two depth-1 wrapping spectrums (Proxy-Decorator and Decorator-Strategy) connect at Decorator to form a continuous access→skin→guts taxonomy"},{"node":"proxy-decorator-wrapping-spectrum","truth_value":"IN","reason":"SL justification valid","antecedents":["proxy-vs-decorator-static-vs-dynamic","decorator-dynamic-alternative-to-subclassing","decorator-transparent-enclosure"],"label":"Three base beliefs on wrapping semantics unify into a spectrum from dynamic enhancement to static access control"},{"node":"proxy-vs-decorator-static-vs-dynamic","truth_value":"IN","reason":"premise"},{"node":"decorator-dynamic-alternative-to-subclassing","truth_value":"IN","reason":"premise"},{"node":"decorator-transparent-enclosure","truth_value":"IN","reason":"premise"},{"node":"skin-vs-guts-extension-spectrum","truth_value":"IN","reason":"SL justification valid","antecedents":["decorator-vs-strategy-skin-vs-guts","gof-template-method-vs-strategy-inheritance-vs-delegation","decorator-dynamic-alternative-to-subclassing"],"label":"Three patterns form a spectrum from external wrapping to internal algorithm replacement"},{"node":"decorator-vs-strategy-skin-vs-guts","truth_value":"IN","reason":"premise"},{"node":"gof-template-method-vs-strategy-inheritance-vs-delegation","truth_value":"IN","reason":"premise"},{"node":"decoupling-topology-composition-based","truth_value":"IN","reason":"SL justification valid","antecedents":["four-decoupling-patterns-topology","behavioral-patterns-favor-composition"],"label":"The decoupling topology (depth-1) is enabled by composition preference (depth-1) — topology and mechanism unify"},{"node":"four-decoupling-patterns-topology","truth_value":"IN","reason":"SL justification valid","antecedents":["four-patterns-decouple-senders-receivers","command-decouples-invoker-from-receiver","gof-mediator-replaces-many-to-many-with-one-to-many","chain-of-responsibility-implicit-receiver","gof-observer-intent-one-to-many-dependency"],"label":"Decoupling patterns span a topology from reified request to implicit broadcast"},{"node":"four-patterns-decouple-senders-receivers","truth_value":"IN","reason":"premise"},{"node":"command-decouples-invoker-from-receiver","truth_value":"IN","reason":"premise"},{"node":"gof-mediator-replaces-many-to-many-with-one-to-many","truth_value":"IN","reason":"premise"},{"node":"chain-of-responsibility-implicit-receiver","truth_value":"IN","reason":"premise"},{"node":"gof-observer-intent-one-to-many-dependency","truth_value":"IN","reason":"premise"},{"node":"behavioral-patterns-favor-composition","truth_value":"IN","reason":"SL justification valid","antecedents":["behavioral-patterns-class-vs-object","behavioral-patterns-encapsulate-variation","favor-composition-over-inheritance"],"label":"Behavioral object patterns are composition-over-inheritance put into practice"},{"node":"behavioral-patterns-class-vs-object","truth_value":"IN","reason":"premise"},{"node":"behavioral-patterns-encapsulate-variation","truth_value":"IN","reason":"premise"},{"node":"favor-composition-over-inheritance","truth_value":"IN","reason":"premise"},{"node":"command-dual-role-decoupling-and-state","truth_value":"IN","reason":"SL justification valid","antecedents":["command-memento-state-capture-family","four-decoupling-patterns-topology","command-encapsulates-request-as-object","command-undo-via-unexecute-and-history"],"label":"Command appears in two depth-1 derivations (decoupling topology and state-capture family), confirming its dual role"},{"node":"command-memento-state-capture-family","truth_value":"IN","reason":"SL justification valid","antecedents":["command-memento-token-objects","command-undo-via-unexecute-and-history","gof-memento-iteration-two-benefits"],"label":"Token objects enable temporal decoupling through captured state"},{"node":"command-memento-token-objects","truth_value":"IN","reason":"premise"},{"node":"command-undo-via-unexecute-and-history","truth_value":"IN","reason":"premise"},{"node":"gof-memento-iteration-two-benefits","truth_value":"IN","reason":"premise"},{"node":"command-encapsulates-request-as-object","truth_value":"IN","reason":"premise"},{"node":"state-strategy-dual-behavioral-composition","truth_value":"IN","reason":"SL justification valid","antecedents":["state-models-behavioral-transitions","skin-vs-guts-extension-spectrum"],"label":"These two depth-1 conclusions each describe a behavioral variation mechanism via composition; recognizing them as orthogonal duals reveals the two independent axes along which behavior can vary"},{"node":"state-models-behavioral-transitions","truth_value":"IN","reason":"SL justification valid","antecedents":["strategy-vs-state-distinction","gof-state-vs-table-driven-key-difference","gof-state-object-creation-tradeoff"],"label":"State occupies a unique niche defined by contrast with Strategy (different binding) and tables (different representation), plus its own creation tradeoffs"},{"node":"strategy-vs-state-distinction","truth_value":"IN","reason":"premise"},{"node":"gof-state-vs-table-driven-key-difference","truth_value":"IN","reason":"premise"},{"node":"gof-state-object-creation-tradeoff","truth_value":"IN","reason":"premise"},{"node":"command-exemplifies-dimensional-judgment","truth_value":"IN","reason":"SL justification valid","antecedents":["command-bridges-two-modification-dimensions","pattern-judgment-requires-dimensional-awareness"],"label":"Depth-7 — linking Command's concrete cross-dimensional bridging (depth-6) with the general requirement for dimensional awareness (depth-6) grounds the abstract principle in a specific, instructive case"},{"node":"command-bridges-two-modification-dimensions","truth_value":"IN","reason":"SL justification valid","antecedents":["command-dual-role-decoupling-and-state","behavioral-four-dimensional-modification-space"],"label":"Command's dual role as decoupler and state capturer maps to two independent dimensions of the 4D modification space"},{"node":"pattern-judgment-requires-dimensional-awareness","truth_value":"IN","reason":"SL justification valid","antecedents":["behavioral-four-dimensional-modification-space","pattern-judgment-inter-and-intra-constraints"],"label":"The 4D modification space is not just a classification but a required input to pattern selection judgment"},{"node":"bridge-af-concretely-instantiates-dip","truth_value":"IN","reason":"SL justification valid","antecedents":["bridge-abstract-factory-platform-integration","dip-complete-architectural-mechanism"],"label":"The Lexi Bridge+AbstractFactory platform architecture is a concrete working instantiation of DIP's formal statements, ownership rule, and implementation strategies"},{"node":"bridge-abstract-factory-platform-integration","truth_value":"IN","reason":"SL justification valid","antecedents":["window-delegates-to-windowimps-via-bridge","windowimps-configured-via-abstract-factory","bridge-separates-abstraction-from-implementation"],"label":"Lexi case study demonstrates cross-category pattern integration for platform independence"},{"node":"window-delegates-to-windowimps-via-bridge","truth_value":"IN","reason":"premise"},{"node":"windowimps-configured-via-abstract-factory","truth_value":"IN","reason":"premise"},{"node":"bridge-separates-abstraction-from-implementation","truth_value":"IN","reason":"premise"},{"node":"dip-complete-architectural-mechanism","truth_value":"IN","reason":"SL justification valid","antecedents":["dip-two-formal-statements","dip-two-implementation-strategies","dip-abstractions-owned-by-higher-layer"],"label":"Three independently specified DIP aspects (definition, strategies, ownership) together form a complete application guide with no gaps"},{"node":"dip-two-formal-statements","truth_value":"IN","reason":"premise"},{"node":"dip-two-implementation-strategies","truth_value":"IN","reason":"premise"},{"node":"dip-abstractions-owned-by-higher-layer","truth_value":"IN","reason":"premise"},{"node":"et-plus-plus-validates-pattern-comprehensiveness","truth_value":"IN","reason":"SL justification valid","antecedents":["et-plus-plus-most-comprehensive-example","lexi-demonstrates-pattern-composition-at-scale"],"label":"Two independent large-scale systems both use most of the catalog, validating comprehensiveness"},{"node":"et-plus-plus-most-comprehensive-example","truth_value":"IN","reason":"premise"},{"node":"lexi-demonstrates-pattern-composition-at-scale","truth_value":"IN","reason":"SL justification valid","antecedents":["lexi-eight-patterns","frameworks-contain-multiple-patterns"],"label":"Lexi provides empirical evidence that real applications compose many patterns"},{"node":"lexi-eight-patterns","truth_value":"IN","reason":"premise"},{"node":"frameworks-contain-multiple-patterns","truth_value":"IN","reason":"premise"},{"node":"design-knowledge-empirically-grounded-methodology","truth_value":"IN","reason":"SL justification valid","antecedents":["design-knowledge-complete-with-lifecycle-methodology","formalization-grounds-expert-methodology"],"label":"Complete knowledge + complete methodology + empirical grounding = three-layer practitioner support"},{"node":"design-knowledge-complete-with-lifecycle-methodology","truth_value":"IN","reason":"SL justification valid","antecedents":["design-knowledge-system-complete","patterns-complete-lifecycle-methodology"],"label":"Knowledge system (what to know) combined with lifecycle methodology (how to apply) yields complete practitioner support"},{"node":"design-knowledge-system-complete","truth_value":"IN","reason":"SL justification valid","antecedents":["formalization-enables-operationalized-judgment","solid-structurally-and-empirically-validated-mastery-framework"],"label":"Formalization enabling operationalized judgment + SOLID as validated mastery framework = complete knowledge system for OO design"},{"node":"formalization-enables-operationalized-judgment","truth_value":"IN","reason":"SL justification valid","antecedents":["variation-taxonomy-culminates-formalization","pattern-selection-operationalizes-judgment"],"label":"The formalization heritage provides the structured vocabulary that makes systematic pattern selection strategies executable"},{"node":"variation-taxonomy-culminates-formalization","truth_value":"IN","reason":"SL justification valid","antecedents":["gof-variation-taxonomy","pattern-formalization-heritage"],"label":"Three formalization stages (concept → template → taxonomy) each adding analytical structure to the previous"},{"node":"gof-variation-taxonomy","truth_value":"IN","reason":"SL justification valid","antecedents":["gof-23-patterns-variable-aspects","gof-23-patterns-5-7-11-split","behavioral-patterns-encapsulate-variation"],"label":"Variable-aspect-per-pattern + 5-7-11 split + behavioral encapsulation reveals the catalog as a variation-point taxonomy with behavioral dominance"},{"node":"gof-23-patterns-variable-aspects","truth_value":"IN","reason":"premise"},{"node":"gof-23-patterns-5-7-11-split","truth_value":"IN","reason":"premise"},{"node":"pattern-formalization-heritage","truth_value":"IN","reason":"SL justification valid","antecedents":["design-patterns-originated-from-christopher-alexander","gof-pattern-four-essential-elements","gof-design-pattern-template-sections"],"label":"Each formalization step increased precision — from analogy, to essential structure, to systematic documentation template"},{"node":"design-patterns-originated-from-christopher-alexander","truth_value":"IN","reason":"premise"},{"node":"gof-pattern-four-essential-elements","truth_value":"IN","reason":"premise"},{"node":"gof-design-pattern-template-sections","truth_value":"IN","reason":"premise"},{"node":"pattern-selection-operationalizes-judgment","truth_value":"IN","reason":"SL justification valid","antecedents":["six-strategies-for-pattern-selection","pattern-judgment-required"],"label":"Selection strategies are the procedural embodiment of the judgment-required principle"},{"node":"six-strategies-for-pattern-selection","truth_value":"IN","reason":"premise"},{"node":"solid-structurally-and-empirically-validated-mastery-framework","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-isomorphic-to-pattern-mastery","solid-judgment-empirically-validated-and-dimensioned"],"label":"Structural isomorphism to mastery dimensions + empirical validation via SRP independently confirm SOLID as the comprehensive pattern mastery framework"},{"node":"solid-isomorphic-to-pattern-mastery","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-two-orthogonal-axes","pattern-mastery-requires-principles-and-constraints"],"label":"SOLID's two structural axes map directly onto the two knowledge dimensions required for pattern mastery, making SOLID the natural theoretical framework for developing pattern judgment"},{"node":"solid-two-orthogonal-axes","truth_value":"IN","reason":"SL justification valid","antecedents":["lsp-dip-ocp-dependency-chain","srp-isp-dual-cohesion-principles"],"label":"These two depth-2/depth-1 conclusions describe independent substructures within SOLID; recognizing their orthogonality reveals SOLID as a two-axis coordinate system rather than a flat list"},{"node":"lsp-dip-ocp-dependency-chain","truth_value":"IN","reason":"SL justification valid","antecedents":["lsp-enables-abstraction-dependence","dip-enables-ocp"],"label":"Transitive dependency — LSP enables DIP (depth-1) and DIP enables OCP (depth-1), so LSP transitively enables OCP"},{"node":"lsp-enables-abstraction-dependence","truth_value":"IN","reason":"SL justification valid","antecedents":["lsp-substitutability-of-subtypes","dip-depend-on-abstractions-not-concretions","program-to-interface-not-implementation"],"label":"Substitutability guarantees make abstraction-dependence safe"},{"node":"program-to-interface-not-implementation","truth_value":"IN","reason":"premise"},{"node":"dip-enables-ocp","truth_value":"IN","reason":"SL justification valid","antecedents":["dip-depend-on-abstractions-not-concretions","ocp-open-for-extension-closed-for-modification","program-to-interface-not-implementation"],"label":"Abstraction-dependency is the mechanism enabling extension-without-modification"},{"node":"srp-isp-dual-cohesion-principles","truth_value":"IN","reason":"SL justification valid","antecedents":["srp-rooted-in-cohesion","isp-related-to-grasp-high-cohesion","srp-canonical-definition","isp-no-forced-dependency-on-unused-methods"],"label":"Both principles independently cite cohesion as their root, but constrain it at class vs. interface granularity"},{"node":"srp-rooted-in-cohesion","truth_value":"IN","reason":"premise"},{"node":"isp-related-to-grasp-high-cohesion","truth_value":"IN","reason":"premise"},{"node":"pattern-mastery-requires-principles-and-constraints","truth_value":"IN","reason":"SL justification valid","antecedents":["solid-grounds-pattern-judgment","visitor-exposes-pattern-mutual-constraints"],"label":"Positive guidance (SOLID grounding) and negative constraints (mutual pattern tensions) are both required for judgment — either alone is insufficient"},{"node":"patterns-complete-lifecycle-methodology","truth_value":"IN","reason":"SL justification 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valid","antecedents":["six-strategies-for-pattern-selection","seven-steps-to-apply-a-pattern"],"label":"Two complementary methodological elements (selection + application) form a complete procedural framework"},{"node":"seven-steps-to-apply-a-pattern","truth_value":"IN","reason":"premise"},{"node":"formalization-grounds-expert-methodology","truth_value":"IN","reason":"SL justification valid","antecedents":["patterns-complete-lifecycle-methodology","known-uses-validates-empirical-formalization"],"label":"Empirical validation grounds the methodology; methodology operationalizes the validated knowledge"},{"node":"known-uses-validates-empirical-formalization","truth_value":"IN","reason":"SL justification valid","antecedents":["pattern-formalization-heritage","gof-known-uses-two-domains-minimum"],"label":"Two-domain evidence requirement operationalizes Alexander's empirical principle"},{"node":"gof-known-uses-two-domains-minimum","truth_value":"IN","reason":"premise"},{"node":"visitor-recursive-computation-with-ocp-coverage","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-recursive-stateful-operations","composite-visitor-dual-ocp-coverage"],"label":"Visitor's recursive computation + Composite-Visitor's bidirectional OCP = doubly-extensible recursive computation"},{"node":"visitor-recursive-stateful-operations","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-accumulates-across-structures","recursive-triad-traversal-flexibility"],"label":"Visitor's accumulation + Iterator's traversal flexibility = complete recursive computation"},{"node":"visitor-accumulates-across-structures","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-structure-independent-operations","gof-visitor-accumulates-state"],"label":"Structure independence plus state accumulation enables cross-element analysis over heterogeneous collections"},{"node":"visitor-structure-independent-operations","truth_value":"IN","reason":"SL justification valid","antecedents":["visitor-traverses-any-object-structure","gof-visitor-no-common-parent-required"],"label":"Two independently stated Visitor generality properties (any structure, no common parent) establish Visitor as universally applicable for operations"},{"node":"visitor-traverses-any-object-structure","truth_value":"IN","reason":"premise"},{"node":"gof-visitor-no-common-parent-required","truth_value":"IN","reason":"premise"},{"node":"gof-visitor-accumulates-state","truth_value":"IN","reason":"premise"},{"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":"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"},{"node":"composite-visitor-dual-ocp-coverage","truth_value":"IN","reason":"SL justification valid","antecedents":["composite-as-universal-recursive-structure","visitor-inverts-ocp-axis"],"label":"Composite covers standard OCP axis (new types) while Visitor covers inverted axis (new operations) for the same structures"},{"node":"composite-as-universal-recursive-structure","truth_value":"IN","reason":"SL justification valid","antecedents":["composite-uniform-leaf-composite-treatment","interpreter-abstract-syntax-tree-is-composite","macrocommand-is-composite-of-commands"],"label":"Three distinct patterns reuse Composite's recursive composition structure"},{"node":"interpreter-abstract-syntax-tree-is-composite","truth_value":"IN","reason":"premise"},{"node":"macrocommand-is-composite-of-commands","truth_value":"IN","reason":"premise"}]}}