{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"computability_boundary_mapping__agricultural_science","trajectory_id":"R","attempt_index":0,"archetype_slug":"computability_boundary_mapping","domain_slug":"agricultural_science","decision":"CANDIDATE","problem_id":"universal_agronomic_policy_safety_verification","causal_lever_id":"enforce_verifiable_model_scope_and_explicit_unknown","proposal":{"problem":"Agricultural decision-support projects may promise an exact, always-terminating predeployment verdict on whether any adaptive crop-management policy will violate yield, input, or environmental constraints under every behavior of arbitrary user-supplied executable crop models. When the model and policy language is open-ended, timeouts and successful simulations do not establish either safety or impossibility, yet interfaces may force them into SAFE/UNSAFE labels.","actors_substrate":["growers and farm managers","agronomists and crop-model developers","decision-support vendors","farm workers and neighboring communities","soil, water, crops, and non-target organisms"],"observable_state":"The verifier accepts unrestricted executable models or policies, claims universal exact coverage, lacks UNKNOWN and OUT_OF_SCOPE states, or converts proof-search timeouts into binary agronomic recommendations.","consequence":"A false SAFE verdict can authorize harmful management, a false UNSAFE verdict can suppress useful action, and pursuit of an impossible universal verifier can consume resources while obscuring the narrower guarantees actually delivered.","affected_objective":"Deliver auditable crop-management recommendations without overstating what formal analysis or simulation can establish.","structural_mapping":[{"archetype_element":"open-ended problem class","domain_realization":"All submitted adaptive management policies paired with arbitrary executable crop or agroecosystem models.","claim_kind":"HYPOTHESIS"},{"archetype_element":"universal exact terminating guarantee","domain_realization":"A SAFE/UNSAFE answer for every accepted model-policy pair and all represented trajectories.","claim_kind":"HYPOTHESIS"},{"archetype_element":"computability boundary","domain_realization":"The boundary between enforceably restricted model languages admitting total verification and expressive executable models for which such behavior claims may not be decidable.","claim_kind":"INFERENCE"},{"archetype_element":"decidable fragment","domain_realization":"A mechanically recognized finite-state or otherwise proved-decidable agronomic model-and-policy language.","claim_kind":"HYPOTHESIS"},{"archetype_element":"honest fallback","domain_realization":"Sound abstraction, bounded exploration, or witness search returning guarantee-labelled SAFE, COUNTEREXAMPLE, UNKNOWN, or OUT_OF_SCOPE results.","claim_kind":"INFERENCE"},{"archetype_element":"recheck trigger","domain_realization":"Changes to model syntax, policy expressiveness, property definitions, bounds, solvers, or external information sources.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Problem-Class Specification","status":"adapted","domain_realization":"Define accepted model-policy pairs and the agronomic property queried."},{"component":"Instance Representation Contract","status":"adapted","domain_realization":"Version model syntax, policy encoding, initial conditions, and uncertainty representation."},{"component":"Computation Model Contract","status":"direct","domain_realization":"Declare solver, resources, interaction, sensors, experts, and any oracle-like service."},{"component":"Solvability Guarantee Profile","status":"direct","domain_realization":"Separate exact decision, one-sided proof, bounded result, and approximation."},{"component":"Quantifier and Scope Map","status":"adapted","domain_realization":"Distinguish one farm-run from every policy, model, state, and trajectory."},{"component":"Computability Status Lattice","status":"direct","domain_realization":"Classify each formal query as decidable, recognizable, partial, relative, unresolved, or unsupported."},{"component":"Constructive Procedure Witness","status":"direct","domain_realization":"Retain an algorithm plus correctness and termination argument where totality is claimed."},{"component":"Reduction Preservation Contract","status":"direct","domain_realization":"Require a total property-preserving encoding before transferring undecidability."},{"component":"Computability Impossibility Certificate","status":"direct","domain_realization":"Attach a checked proof scoped to the exact accepted language and property."},{"component":"Assumption Register","status":"adapted","domain_realization":"Record semantics-to-field assumptions, bounds, model fidelity, and external capabilities."},{"component":"Decidable Subclass Map","status":"adapted","domain_realization":"List enforceable model-policy fragments and their decision procedures."},{"component":"One-Sided Recognition Contract","status":"direct","domain_realization":"Specify which verdict has checkable witnesses and which cannot be concluded."},{"component":"Unknown and Nontermination Policy","status":"direct","domain_realization":"Preserve UNKNOWN, TIMEOUT, and OUT_OF_SCOPE separately from SAFE and UNSAFE."},{"component":"Fallback Solution Contract","status":"adapted","domain_realization":"Label abstraction, bounded search, simulation, and expert escalation by actual guarantee."},{"component":"Computability Guarantee Record","status":"direct","domain_realization":"Version the shipped claim with its evidence and scope."},{"component":"Recheck Trigger","status":"adapted","domain_realization":"Reclassify after language, solver, property, bound, or oracle changes."},{"component":"Termination Condition","status":"direct","domain_realization":"Give total procedures a proof and fallbacks an explicit resource bound."},{"component":"Scope Boundary","status":"adapted","domain_realization":"Mechanically reject or quarantine inputs outside the supported fragment."},{"component":"Decision Record","status":"direct","domain_realization":"Record the chosen boundary, rationale, fallback, and owner."},{"component":"Uncertainty Residue","status":"adapted","domain_realization":"List unproved obligations and empirical model-to-field uncertainty."},{"component":"Independent Proof Review","status":"direct","domain_realization":"Have an independent reviewer check formal statements and proofs."},{"component":"Complexity Follow-On Gate","status":"direct","domain_realization":"After decidability, assess whether farm-scale instances are computationally feasible."}],"mechanism_dispositions":[{"slug":"abstract_interpretation_or_model_checking","disposition":"selected_supporting","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Use a proved sound finite over-approximation where suitable; report alarms as possible violations.","counterfactual_removal":"Removes a useful sound fallback but not the boundary classification."},{"slug":"bounded_domain_exhaustive_search","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Exhaustively check a declared finite test envelope without extrapolating beyond it.","counterfactual_removal":"Weakens bounded validation evidence."},{"slug":"computability_boundary_decision_record","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Version the scope, guarantee, evidence, fallback, and recheck triggers.","counterfactual_removal":"Guarantees can drift silently after model changes."},{"slug":"computational_complexity_analysis","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Evaluate scaling only after a query is placed on the decidable side.","counterfactual_removal":"A total method may remain operationally unusable."},{"slug":"constructive_algorithm_and_correctness_proof","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Require procedure, correctness proof, and termination proof for each exact fragment.","counterfactual_removal":"The restricted exact guarantee lacks a positive witness."},{"slug":"diagonalization_impossibility_proof","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"No domain-specific self-referential construction is supplied; do not invoke it rhetorically.","counterfactual_removal":"No change; reduction evidence is the proposed route."},{"slug":"enumeration_and_dovetailing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Unbounded recognition is unsuitable for a deployment gate; use bounded explicit-UNKNOWN protocol.","counterfactual_removal":"No change to the terminating service."},{"slug":"fallback_mode_router","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Route by enforceable scope to exact, sound-abstract, bounded, or escalation modes and label outputs.","counterfactual_removal":"Weaker guarantees can be presented as universal verdicts."},{"slug":"halting_problem_reduction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Attempt a checked encoding only for executable models capable of embedding arbitrary computation.","counterfactual_removal":"The proposed impossibility boundary remains conjectural rather than certified."},{"slug":"language_fragment_restriction","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Define a syntactically enforceable agronomic modeling fragment with a total verifier.","counterfactual_removal":"There is no enforceable exact-answer region."},{"slug":"many_one_reduction_proof","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Redundant if the selected halting reduction discharges the same total mapping obligations.","counterfactual_removal":"No change if those obligations remain explicit."},{"slug":"promise_problem_restriction","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"An unenforced promise about real weather or model behavior could produce authoritative errors.","counterfactual_removal":"Avoids a fragile accountability gap."},{"slug":"proof_by_counterexample","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Use one in-scope failing model-policy pair to refute overbroad verifier claims.","counterfactual_removal":"Universal overclaims become harder to dislodge cheaply."},{"slug":"proof_checking","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Independently check the formal theorem, premises, and termination arguments.","counterfactual_removal":"A subtle proof defect could authorize a false guarantee."},{"slug":"reduction_direction_checklist","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Verify source-to-target direction, totality, computability, and preservation.","counterfactual_removal":"Risk of accepting a reversed or incomplete reduction increases."},{"slug":"semi_decision_with_explicit_unknown","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Bound witness search and return UNKNOWN, never a fabricated negative, at exhaustion.","counterfactual_removal":"Timeouts can again become false agronomic verdicts."},{"slug":"theorem_prover_guided_search","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Optional tooling; proof search is not required for the causal intervention and timeout proves nothing.","counterfactual_removal":"Manual checked proofs remain possible."},{"slug":"turing_reduction_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Relative computability degrees exceed the decision needed for this boundary.","counterfactual_removal":"No effect on the proposed classification."}],"causal_chain":["Formalize the accepted agronomic query, representation, computation model, and universal quantifiers.","Seek both a total constructive witness for restricted fragments and a valid impossibility reduction for the unrestricted executable class.","Enforce fragment membership and preserve unresolved status where neither argument closes.","Route each query to the strongest justified mode with explicit UNKNOWN and OUT_OF_SCOPE outputs.","Version the guarantee and recheck it when language or capabilities change.","This prevents timeout-based binary claims and limits exact recommendations to proved scope."],"baseline":"Ordinary practice is simulation on selected scenarios, empirical test suites, expert review, and fixed timeouts feeding a binary release or recommendation decision.","nearest_rival":"Risk-based validation of the unrestricted verifier using larger benchmark suites and conservative timeout thresholds, without proving class-wide termination or preserving UNKNOWN.","authority_safety":{"affected_parties":["growers and farm workers","agronomists and software operators","neighbors and downstream water users","owners of affected crops, soil, and livestock"],"decision_authority":"The system owner and accountable agronomic safety lead may approve the offline classification; deployment remains with the existing farm and regulatory authorities.","authorized_first_step":"On a frozen, non-operational verifier version, formalize one property and language, independently review one proposed reduction and one decidable fragment, then replay a bounded corpus with SAFE, COUNTEREXAMPLE, UNKNOWN, and OUT_OF_SCOPE outputs.","excluded_actions":["changing live crop-management plans","treating formal model safety as field safety","silently narrowing accepted inputs","calling timeout SAFE or UNSAFE","deploying before agronomic and independent proof review"],"halt_rollback":"Halt if the formal property loses agronomic fidelity, the abstraction is unsound, an in-scope result is mislabelled, or UNKNOWN cannot propagate. Revert to advisory simulation and human review with no universal guarantee."}},"negative_tests":{"strongest_counterevidence":"If the deployed model-policy language is already finite and effectively enumerable, membership is enforced, and a total correct verifier already exists, the issue is complexity or validation rather than a computability boundary.","analogy_break":"An executable crop model is not the field. A theorem about encoded program behavior cannot establish biological adequacy, weather completeness, causal validity, or real-world safety.","failure_condition":"The approach fails operationally if the decidable fragment excludes most consequential farm cases, abstractions generate unusable alarms, or downstream systems collapse UNKNOWN into a binary action.","problem_falsifier":"The problem is falsified if no stakeholder or interface requires universal exact terminating verdicts, unrestricted models are never accepted, and timeout, unknown, and out-of-scope states are already preserved.","intervention_falsifier":"The intervention is falsified if, on a preregistered offline corpus, it does not reduce unsupported binary verdicts or guarantee drift while maintaining useful coverage, or if independent review cannot validate either the claimed restriction or reduction.","risks":["A correct formal proof may certify the wrong agronomic property.","Restricted syntax may omit rare but consequential dynamics.","Sound abstractions may produce excessive false alarms.","Users may route around restrictions through unreviewed extensions.","A boundary record may institutionalize a mistaken theorem.","Exact formal labels may create unwarranted confidence in field outcomes."]},"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":0.73,"generator_notes":"Candidate depends on the agricultural verifier accepting an expressive executable class; that empirical premise and the domain-specific reduction remain unverified."}