{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"computability_boundary_mapping__environmental_climate","trajectory_id":"R","attempt_index":0,"archetype_slug":"computability_boundary_mapping","domain_slug":"environmental_climate","decision":"CANDIDATE","problem_id":"universal_climate_model_threshold_verification","causal_lever_id":"enforceable_model_fragment_with_labeled_fallbacks","proposal":{"problem":"Environmental regulators or model-governance teams may require an automated reviewer that always terminates and correctly decides, for every submitted executable climate-policy or ecosystem model and every admissible future encoded by it, whether a protected threshold is ever crossed. If submissions may contain arbitrary programs, this universal semantic reachability requirement can be impossible even though many individual models remain analyzable.","actors_substrate":["environmental regulators and model-governance teams","climate and ecosystem model developers","communities and ecosystems affected by clearance decisions","executable simulation languages, model files, and threshold specifications"],"observable_state":"Timeouts and failed searches are converted into pass/fail decisions; tested models are cited as evidence of universal termination; submission-language restrictions are undocumented; and outputs do not distinguish safe, violation found, unknown, out-of-scope, and tool failure.","consequence":"An impossible universal verifier attracts continuing engineering investment or produces false environmental clearance, while overly broad impossibility claims may block useful verification of bounded or restricted models.","affected_objective":"Provide timely, auditable environmental model review without falsely certifying threshold safety or discarding analyzable cases.","structural_mapping":[{"archetype_element":"unrestricted problem class","domain_realization":"All executable climate-policy or ecosystem models, rather than a mechanically enforced modeling fragment.","claim_kind":"HYPOTHESIS"},{"archetype_element":"total exact decision requirement","domain_realization":"For every accepted model, always terminate with a correct Boolean answer about whether any admissible execution crosses a specified threshold.","claim_kind":"HYPOTHESIS"},{"archetype_element":"computability boundary","domain_realization":"For an arbitrary-program submission language, threshold reachability can encode program halting; restricted finite-state or bounded-horizon languages may remain decidable.","claim_kind":"INFERENCE"},{"archetype_element":"impossibility witness","domain_realization":"Transform a program-input pair into a submitted model that emits a threshold-breach state iff that program halts; a universal breach decider would decide halting.","claim_kind":"HYPOTHESIS"},{"archetype_element":"decidable region","domain_realization":"A parser-enforced finite-state, bounded-horizon, or otherwise proven-decidable model fragment with a total verified checker.","claim_kind":"HYPOTHESIS"},{"archetype_element":"honest weaker fallback","domain_realization":"Sound abstraction, bounded search, or witness search returning labeled UNKNOWN rather than treating exhaustion as safety.","claim_kind":"HYPOTHESIS"},{"archetype_element":"reclassification trigger","domain_realization":"Any change to the modeling language, horizon, uncertainty semantics, threshold property, external solver, or claimed guarantee.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Problem-Class Specification","status":"direct","domain_realization":"Define models, admissible futures, threshold property, and required verdict."},{"component":"Instance Representation Contract","status":"direct","domain_realization":"Versioned grammar and semantics for model, initial state, forcing inputs, and threshold."},{"component":"Computation Model Contract","status":"direct","domain_realization":"Declare execution semantics, numeric model, nondeterminism, and external solvers."},{"component":"Solvability Guarantee Profile","status":"direct","domain_realization":"Separate exact-total, sound-incomplete, bounded, and empirical guarantees."},{"component":"Quantifier and Scope Map","status":"direct","domain_realization":"Record whether claims cover every model, execution, forcing sequence, and time step."},{"component":"Computability Status Lattice","status":"adapted","domain_realization":"Classify fragments as decidable, recognizable, relative, unresolved, or outside scope."},{"component":"Constructive Procedure Witness","status":"direct","domain_realization":"Checker plus termination and correctness argument for each exact fragment."},{"component":"Reduction Preservation Contract","status":"direct","domain_realization":"Show the program-to-model translation is total, computable, and preserves halting as breach reachability."},{"component":"Computability Impossibility Certificate","status":"direct","domain_realization":"Reviewed halting reduction limited to the unrestricted executable language."},{"component":"Assumption Register","status":"direct","domain_realization":"List language expressiveness, exact semantics, horizon, and oracle assumptions."},{"component":"Decidable Subclass Map","status":"direct","domain_realization":"Catalog enforceable bounded and finite-state fragments and their checkers."},{"component":"One-Sided Recognition Contract","status":"adapted","domain_realization":"A found breach with a replayable trace may yield YES; absence within budget does not yield NO."},{"component":"Unknown and Nontermination Policy","status":"direct","domain_realization":"Keep UNKNOWN, timeout, out-of-scope, tool failure, safe, and breach distinct."},{"component":"Fallback Solution Contract","status":"direct","domain_realization":"Label the guarantee of abstraction, bounded exploration, or expert escalation."},{"component":"Computability Guarantee Record","status":"direct","domain_realization":"Version-link each public claim to language, property, proof, and checker."},{"component":"Recheck Trigger","status":"direct","domain_realization":"Reassess after semantic, language, horizon, solver, or property changes."},{"component":"Termination Condition","status":"direct","domain_realization":"Exact modes terminate by proof; fallback modes stop at declared resource bounds."},{"component":"Scope Boundary","status":"direct","domain_realization":"Mechanically reject or quarantine models outside the certified fragment."},{"component":"Decision Record","status":"direct","domain_realization":"Record accepted modes, rejected universal claim, rationale, owners, and expiry."},{"component":"Uncertainty Residue","status":"adapted","domain_realization":"Record open proof obligations plus empirical and physical-model uncertainty not resolved by computability analysis."},{"component":"Independent Proof Review","status":"direct","domain_realization":"A reviewer checks the reduction, fragment semantics, and exact-checker proof."},{"component":"Complexity Follow-On Gate","status":"direct","domain_realization":"After decidability, test whether state growth makes the checker operationally feasible."}],"mechanism_dispositions":[{"slug":"abstract_interpretation_or_model_checking","disposition":"selected_supporting","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Use finite over-approximations only when abstraction soundness relative to model semantics is demonstrated.","counterfactual_removal":"The exact-fragment path remains, but fewer out-of-fragment cases receive sound conclusions."},{"slug":"bounded_domain_exhaustive_search","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Exhaustively check a declared finite horizon and state bound without generalizing beyond it.","counterfactual_removal":"The pilot loses a complete bounded benchmark but not the boundary argument."},{"slug":"computability_boundary_decision_record","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Version the boundary, guarantees, evidence, and recheck triggers.","counterfactual_removal":"Mathematics remains, but guarantee drift becomes materially harder to detect."},{"slug":"computational_complexity_analysis","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Apply only after a fragment has a total procedure.","counterfactual_removal":"Decidable fragments could still be selected despite unusable resource growth."},{"slug":"constructive_algorithm_and_correctness_proof","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Require an implemented checker with totality and correctness proof before advertising exact review.","counterfactual_removal":"Fragment restriction alone would not justify the exact guarantee."},{"slug":"diagonalization_impossibility_proof","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A domain-specific halting reduction is clearer than a new direct diagonal proof.","counterfactual_removal":"No material change because the selected reduction supplies the certificate."},{"slug":"enumeration_and_dovetailing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Unbounded operation is unsuitable for regulatory workflow; use bounded semi-decision with UNKNOWN.","counterfactual_removal":"No change to the selected terminating interface."},{"slug":"fallback_mode_router","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Route by enforceable class membership to exact, sound-approximate, bounded, or escalation modes and label each guarantee.","counterfactual_removal":"Weaker outputs could be mistaken for exact clearance, hard-gating safe deployment."},{"slug":"halting_problem_reduction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Encode halting as threshold reachability in an unrestricted executable environmental model.","counterfactual_removal":"There would be no justified impossibility finding for the universal requirement."},{"slug":"language_fragment_restriction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Admit exact review only for a syntactically enforceable decidable modeling fragment.","counterfactual_removal":"The proposal would diagnose impossibility without recovering a reliable exact service."},{"slug":"many_one_reduction_proof","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Its obligations are incorporated into the more specific halting-reduction certificate.","counterfactual_removal":"No material change if those obligations remain in the preservation contract."},{"slug":"promise_problem_restriction","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A promise with arbitrary behavior on violations is unsafe here; mechanically reject out-of-fragment inputs instead.","counterfactual_removal":"No loss; enforceable language membership provides the safer boundary."},{"slug":"proof_by_counterexample","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Use in-scope adversarial models to refute overbroad termination or correctness claims, not to prove impossibility.","counterfactual_removal":"The pilot loses a cheap claim-refutation test."},{"slug":"proof_checking","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Independently check the reduction and exact-fragment proof against their formal statements.","counterfactual_removal":"A subtle proof gap could authorize a false boundary claim."},{"slug":"reduction_direction_checklist","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Confirm source-to-target direction, total translation, preservation, and assumptions.","counterfactual_removal":"Risk of an invalid impossibility inference materially increases."},{"slug":"semi_decision_with_explicit_unknown","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Return a replayable breach witness when found and UNKNOWN at the resource bound, never SAFE.","counterfactual_removal":"Fallback search could convert timeout into false clearance."},{"slug":"theorem_prover_guided_search","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Proof checking is sufficient for the first test; automated proof discovery adds complexity without establishing semantic fidelity.","counterfactual_removal":"No material change to the pilot's claims."},{"slug":"turing_reduction_analysis","disposition":"incompatible","contribution_type":"NONE","adaptation_or_rejection":"Relative oracle degrees do not answer the concrete total-verifier requirement and obscure the needed one-way reduction.","counterfactual_removal":"No change to the causal chain."}],"causal_chain":["Specify the executable model class, reachability property, quantifiers, and computation model.","Test the unrestricted total-exact claim with a checked halting-to-threshold reduction.","If valid, reject that claim without extending the result to restricted languages.","Enforce a decidable fragment and prove its checker total and correct.","Route other inputs to sound or bounded modes with explicit UNKNOWN and guarantee labels.","Reassess feasibility through complexity analysis and reclassify whenever assumptions change."],"baseline":"Run simulations, ensembles, and test suites until a budget expires, then let reviewers interpret non-findings or timeouts case by case.","nearest_rival":"A risk-based validation regime using benchmark scenarios and conservative heuristic alarms, but without determining which universal guarantees are impossible or enforcing a decidable input class.","authority_safety":{"affected_parties":["model submitters","regulators and reviewers","communities exposed to environmental harm","ecosystems represented by protected thresholds"],"decision_authority":"The environmental regulator or model-governance owner may authorize classification and a sandboxed pilot; only the legally designated authority may change clearance rules.","authorized_first_step":"On 30 previously reviewed models plus 5 synthetic adversarial models, formalize one threshold property, attempt the reduction and independent review, implement one parser-enforced fragment, and compare exact, bounded, and UNKNOWN outputs without affecting live decisions.","excluded_actions":["issuing or denying permits from pilot outputs","claiming that physical climate prediction itself is undecidable","treating UNKNOWN or timeout as SAFE","silently narrowing accepted model semantics","publishing an impossibility claim before independent review"],"halt_rollback":"Stop the pilot if semantic fidelity cannot be agreed, the reduction fails review, the exact checker violates its proof obligations, any mode emits an overstated label, or protected data escape the sandbox; withdraw pilot labels and revert to existing human review."}},"negative_tests":{"strongest_counterevidence":"The actual accepted submission language may already be finite-state, bounded-horizon, and mechanically enforced, with a known total checker; then the issue is complexity or validation rather than computability.","analogy_break":"The climate system and empirical uncertainty are not thereby undecidable. The impossibility argument applies only to a precisely encoded semantic decision over an unrestricted executable model language; mismatch between that formal object and real review defeats the transfer.","failure_condition":"The intervention fails operationally if enforceable fragments exclude most real submissions, abstractions cannot establish soundness, or UNKNOWN rates make the routed service unusable.","problem_falsifier":"Falsify the diagnosed problem if no stakeholder requires a total exact class-wide verdict, or if every accepted input is provably within an enforceable decidable class.","intervention_falsifier":"Falsify the proposed lever if independent review rejects the reduction or exact-checker proof, or the bounded pilot produces any false exact label, any SAFE from timeout, or an UNKNOWN rate above a predeclared 60% on eligible historical cases.","risks":["A formal model may omit environmentally decisive processes while still passing verification.","Fragment restriction may shift burden onto smaller or less-resourced model developers.","False alarms from over-approximation may overwhelm reviewers.","An impossibility result may be rhetorically overextended to bounded forecasting or empirical science.","Complexity may make a decidable checker too slow for operational deadlines."]},"null_rationale":null,"classification":{"candidate_kind":"DOMAIN_TRANSFER","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":0.82,"generator_notes":"Closed-book structural inference. The reduction, prevalence of the requirement, abstraction soundness, and pilot thresholds are hypotheses requiring formalization and domain-owner validation."}