{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"computability_boundary_mapping__cultural_studies","trajectory_id":"R","attempt_index":0,"archetype_slug":"computability_boundary_mapping","domain_slug":"cultural_studies","decision":"CANDIDATE","problem_id":"universal_interactive_media_representation_classifier","causal_lever_id":"formal_scope_restriction_with_honest_unknown_routing","proposal":{"problem":"A cultural archive or moderation program promises an exact, always-terminating classifier that determines whether any arbitrary executable or generative cultural work can ever produce a specified representation, such as a racist stereotype or counter-hegemonic portrayal. Testing observed outputs is then mistaken for deciding all possible behavior.","actors_substrate":["digital-cultural-studies researchers","archive or platform engineers","curators and moderators","creators","represented communities","audiences"],"observable_state":"The interface emits an unconditional present/absent label for arbitrary interactive works; timeouts, unexamined paths, and out-of-model contexts are collapsed into absence.","consequence":"Potentially harmful works may be cleared, resistant works may be mislabeled or suppressed, and an institution may present a bounded computational result as an authoritative interpretation.","affected_objective":"Provide accountable cultural analysis without overstating what automated inspection can establish.","structural_mapping":[{"archetype_element":"Unrestricted input class","domain_realization":"Arbitrary executable or generative cultural works and all possible interaction traces.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Semantic decision property","domain_realization":"Whether any reachable output satisfies a formally operationalized representational predicate.","claim_kind":"INFERENCE"},{"archetype_element":"Universal exact terminating guarantee","domain_realization":"A definitive present/absent answer for every accepted work.","claim_kind":"INFERENCE"},{"archetype_element":"Computability boundary","domain_realization":"General behavioral reachability versus enforceable finite-state, bounded-trace, or restricted-language cases.","claim_kind":"INFERENCE"},{"archetype_element":"Governed weaker fallback","domain_realization":"Sound warning, bounded result, or UNKNOWN carrying its exact scope instead of a definitive cultural verdict.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Problem-Class Specification","status":"adapted","domain_realization":"Define works, traces, and the representation predicate."},{"component":"Instance Representation Contract","status":"adapted","domain_realization":"Specify code, assets, environment, inputs, and encoding."},{"component":"Computation Model Contract","status":"direct","domain_realization":"Declare execution model and external services or viewers."},{"component":"Solvability Guarantee Profile","status":"direct","domain_realization":"Separate exact, sound, bounded, and interpretive claims."},{"component":"Quantifier and Scope Map","status":"direct","domain_realization":"Distinguish some observed output from every possible trace."},{"component":"Computability Status Lattice","status":"direct","domain_realization":"Classify fragments as decidable, recognizable, relative, or unresolved."},{"component":"Constructive Procedure Witness","status":"direct","domain_realization":"Require algorithm plus correctness and termination proof."},{"component":"Reduction Preservation Contract","status":"direct","domain_realization":"Map source computations to works while preserving reachability."},{"component":"Computability Impossibility Certificate","status":"direct","domain_realization":"Retain a checked reduction for the unrestricted claim."},{"component":"Assumption Register","status":"direct","domain_realization":"Record runtime, predicate, environment, and scope assumptions."},{"component":"Decidable Subclass Map","status":"adapted","domain_realization":"List finite-state, bounded-trace, and restricted authoring fragments."},{"component":"One-Sided Recognition Contract","status":"adapted","domain_realization":"A found trace confirms only the operational predicate's presence."},{"component":"Unknown and Nontermination Policy","status":"direct","domain_realization":"Keep UNKNOWN, timeout, error, absence, and out-of-scope distinct."},{"component":"Fallback Solution Contract","status":"adapted","domain_realization":"Label sound warnings and bounded findings without universal meaning claims."},{"component":"Computability Guarantee Record","status":"direct","domain_realization":"Version the shipped guarantee with its evidence."},{"component":"Recheck Trigger","status":"direct","domain_realization":"Reassess after language, runtime, predicate, or service changes."},{"component":"Termination Condition","status":"direct","domain_realization":"Set explicit trace, state, step, or time bounds."},{"component":"Scope Boundary","status":"direct","domain_realization":"Mechanically enforce accepted fragments and mark exclusions."},{"component":"Decision Record","status":"direct","domain_realization":"Record chosen modes, reasons, and supersession history."},{"component":"Uncertainty Residue","status":"adapted","domain_realization":"Expose unsearched behavior and interpretive/model mismatch."},{"component":"Independent Proof Review","status":"direct","domain_realization":"Review reduction, formalization, and fragment proof independently."},{"component":"Complexity Follow-On Gate","status":"direct","domain_realization":"Assess feasibility only after decidability is established."}],"mechanism_dispositions":[{"slug":"abstract_interpretation_or_model_checking","disposition":"selected_supporting","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Provide one-sided safe warnings on finite over-approximations.","counterfactual_removal":"Fallback loses a sound analysis mode but boundary mapping remains viable."},{"slug":"bounded_domain_exhaustive_search","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Exhaust finite states or traces in the pilot.","counterfactual_removal":"Pilot cannot validate complete within-bound claims."},{"slug":"computability_boundary_decision_record","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Version scope, guarantees, and recheck triggers.","counterfactual_removal":"Guarantees can drift silently."},{"slug":"computational_complexity_analysis","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Gate feasible deployment after decidability.","counterfactual_removal":"Decidable fragments may still be impractical."},{"slug":"constructive_algorithm_and_correctness_proof","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Certify any claimed exact fragment.","counterfactual_removal":"Exact-mode claims lack positive evidence."},{"slug":"diagonalization_impossibility_proof","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A domain embedding via reduction is more inspectable.","counterfactual_removal":"No change; reduction supplies the certificate."},{"slug":"enumeration_and_dovetailing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Unbounded running is operationally unsuitable; bounded UNKNOWN protocol is used.","counterfactual_removal":"No change."},{"slug":"fallback_mode_router","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Route each work to exact, sound, bounded, or human interpretation modes.","counterfactual_removal":"Weaker guarantees are likely to be laundered into Boolean verdicts."},{"slug":"halting_problem_reduction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Encode arbitrary computation as an interactive work whose target output occurs iff it halts.","counterfactual_removal":"The unrestricted impossibility claim lacks its decisive evidence."},{"slug":"language_fragment_restriction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Admit an enforceable authoring fragment with a total analyzer.","counterfactual_removal":"No exact terminating service remains beyond finite bounds."},{"slug":"many_one_reduction_proof","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Discharge totality, computability, and answer preservation for the halting embedding.","counterfactual_removal":"Reduction rigor materially weakens."},{"slug":"promise_problem_restriction","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Unchecked promises permit authoritative answers on violations; syntactic restriction is enforceable.","counterfactual_removal":"No change."},{"slug":"proof_by_counterexample","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Use one in-scope missed trace to refute an overbroad shipped claim.","counterfactual_removal":"Pilot loses a cheap claim-falsification test."},{"slug":"proof_checking","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Independently check the reduction and fragment proofs.","counterfactual_removal":"A formal gap could authorize false certainty."},{"slug":"reduction_direction_checklist","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Verify source-to-target direction and assumptions.","counterfactual_removal":"A reversed reduction may pass review."},{"slug":"semi_decision_with_explicit_unknown","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Return witnessed PRESENT or bounded UNKNOWN, never inferred ABSENT.","counterfactual_removal":"Timeouts again become deceptive negatives."},{"slug":"theorem_prover_guided_search","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Not required for the bounded first test; proof search nonresponse adds ambiguity.","counterfactual_removal":"No change."},{"slug":"turing_reduction_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Relative degrees do not improve the needed one-sided operational contract.","counterfactual_removal":"No change."}],"causal_chain":["Formalize the executable-work class, environment, quantifiers, and operational representation predicate.","Test a source-to-target reduction; if valid, reject the unrestricted total-exact classifier.","Enforce decidable fragments and bounded regimes.","Route other inputs to sound warnings, witnessed PRESENT, human interpretation, or explicit UNKNOWN.","Attach scope and guarantee labels, preventing computational output from masquerading as universal cultural judgment."],"baseline":"Run samples until timeout and force every work into representation-present or representation-absent.","nearest_rival":"A larger test corpus plus longer execution, which improves observed coverage but cannot establish the universal claim.","authority_safety":{"affected_parties":["creators","represented and marginalized communities","curators and moderators","researchers","audiences"],"decision_authority":"A joint technical-and-cultural governance panel may approve operational labels; affected communities retain contestation and appeal, and no technical proof settles the broader interpretation.","authorized_first_step":"Shadow-test synthetic executable works and a finite consented corpus; compare witnessed, bounded, and UNKNOWN outputs without publishing labels or changing access.","excluded_actions":["automatic removal or ranking","publicly branding works or creators","treating UNKNOWN as absence","claiming the operational predicate exhausts cultural meaning"],"halt_rollback":"Halt if an in-scope false clearance appears, the abstraction drops a real behavior, labels lose guarantee metadata, or affected-party review identifies material harm; withdraw outputs and revert to human review."}},"negative_tests":{"strongest_counterevidence":"The actual collection may be fixed recordings with finite, fully enumerated states, or the target property may be purely syntactic; then exhaustive or constructive decision, not undecidability, governs.","analogy_break":"A contested cultural category may lack a stable operational predicate faithful to the scholarly claim. Then the primary problem is ontology and institutional authority, and a computability proof about a proxy does not answer it.","failure_condition":"The proposal fails if fragment membership cannot be enforced, the reduction does not preserve the target property, or downstream users treat bounded or operational labels as total cultural judgments.","problem_falsifier":"No actor requires an exact terminating answer over arbitrary executable works, or the accepted corpus and environments are demonstrably finite and enumerable.","intervention_falsifier":"Under the declared unrestricted representation and model, an independently checked constructive total decider exists, or the routed fallback cannot keep UNKNOWN and scoped guarantees intact in the shadow test.","risks":["Formalizing representation may erase context or encode dominant assumptions.","False alarms may disproportionately burden marginalized creators.","A valid impossibility result may be overextended from the operational predicate to cultural interpretation.","Human escalation may concentrate unaccountable interpretive power."]},"null_rationale":null,"classification":{"candidate_kind":"MECHANISM_COMPOSITION","prior_art_status":"UNSEARCHED","evidence_maturity":"HYPOTHESIS"},"revision_change_log":{"revision_kind":"ORIGINAL","prior_problem_id":null,"prior_causal_lever_id":null,"problem_changed":false,"causal_lever_changed":false,"conceptual_changes":[],"operational_changes":[],"repairs_addressed":[]},"confidence":0.84,"generator_notes":"Candidate depends on the work language being computationally expressive and the representational predicate being operationalizable without claiming to exhaust contested cultural meaning."}