{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp05_complete_proposal_portfolio20_20260803","cell_id":"computability_boundary_mapping__film_media_production","arm":"COMPLETE_PROPOSAL_PORTFOLIO","candidate_id":"cbm_fmp_bounded_minimal_media_package_04","proposal_index":4,"version":0,"title":"Bounded Minimality Certificates for Procedural Media Packages","problem":"A mastering or preservation pipeline accepts arbitrary executable decoders and asks an optimizer to produce, for every finite audiovisual master, the smallest self-contained program that reconstructs the master exactly, together with a guarantee that no shorter program could do so. The requested procedure must always terminate. Results found within a codec catalog, program-length limit, or search budget are nevertheless labeled globally optimal, while decoder nontermination, exact reconstruction, and perceptual similarity are not kept distinct. For an unrestricted universal decoder language, the global minimum-description requirement crosses a computability boundary rather than merely presenting a large search problem.","actors":["digital-preservation lead","mastering engineer","procedural-media developer","media-storage architect","distribution engineer","archive custodian","producer or rights-holder representative"],"observable_state":"A packaging service reports an exact reproduction package as optimal after searching a finite set of encoders or executable generators. The record does not identify the decoder language, candidate-length ceiling, execution bound, comparison semantics, or completeness of the search. A smaller package found later is treated as an optimization improvement rather than a counterexample to the earlier global claim, and decoders that exceed a runtime limit may be silently excluded.","consequence":"Storage, transmission, and preservation decisions can rely on an unsupported lower bound on package size. Engineering effort may continue toward a total global minimizer that cannot satisfy its unrestricted specification. An executable package may also be mistaken for a preservation substitute before exact reconstruction, termination, decoder dependencies, and future reproducibility have been established.","affected_objective":"Reduce the size of exactly reproducible audiovisual packages while preserving truthful distinctions among valid reconstruction, smallest package in a declared finite search space, best package found so far, and unrestricted global minimality.","intervention":"Create a guarantee-tiered media-packaging service. First freeze the master representation, exact equality rule, decoder language, machine model, dependency boundary, and treatment of nontermination. Test the unrestricted global-minimality requirement through a reviewed diagonal argument: assume a total procedure computes the shortest unrestricted decoder-program length K(s) for every finite master s; for each n, construct a program that searches masters in canonical order and emits the first s for which K(s)>n. A counting argument supplies such an s, while the search program can encode n in substantially fewer than n bits for sufficiently large n, contradicting K(s)>n. If the formal obligations survive independent checking, withdraw the unrestricted total-optimality claim. Offer exact minimality only inside an enforceable finite package space defined by a fixed decoder fragment, maximum program length, finite literal domains, and explicit execution, memory, and output bounds. Exhaustively execute every candidate in that space, verify exact reproduction, and issue MINIMAL-WITHIN-BOUND with a coverage certificate. Outside that space, a checked package may receive EXACT-REPRODUCTION or BEST-FOUND-WITHIN-SEARCH, but never global minimum; unresolved decoder execution returns UNKNOWN. Preserve the source master unless the archive custodian separately authorizes a retention change under an established preservation policy.","structural_mapping":[{"archetype_element":"Problem-Class Specification","domain_realization":"Define the unrestricted task as computing a shortest program in a fixed universal decoder language that emits a specified finite audiovisual master exactly and halts."},{"archetype_element":"Instance Representation Contract","domain_realization":"Version the canonical byte representation of the master, channel and metadata inclusion, decoder-program encoding, dependency manifest, output framing, and equality comparison."},{"archetype_element":"Computation Model Contract","domain_realization":"Fix the decoder machine, instruction semantics, external capabilities, resource accounting, nondeterminism policy, and whether shared libraries or dictionaries count toward package length."},{"archetype_element":"Quantifier and Scope Map","domain_realization":"Separate validity of one reconstruction package, minimality within a codec catalog, minimality within explicit program and execution bounds, and minimality among all unrestricted decoder programs."},{"archetype_element":"Computability Impossibility Certificate","domain_realization":"Formalize the diagonal construction that uses an assumed total shortest-description function to generate a master whose declared complexity exceeds the description length of its own generator."},{"archetype_element":"Assumption Register","domain_realization":"Record universality of the decoder language, effective enumeration of masters and programs, the counting premise, encoding overhead, exact-output semantics, and the sufficiently-large-n condition."},{"archetype_element":"Decidable Subclass Map","domain_realization":"Identify finite decoder fragments, program-length limits, literal domains, resource bounds, and output limits for which every candidate can be enumerated and terminated mechanically."},{"archetype_element":"Constructive Procedure Witness","domain_realization":"Provide the finite candidate enumerator, bounded decoder, exact-output comparator, minimum selector, and termination and coverage arguments."},{"archetype_element":"Computability Status Lattice","domain_realization":"Classify outcomes as MINIMAL-WITHIN-BOUND, EXACT-REPRODUCTION, BEST-FOUND-WITHIN-SEARCH, RECONSTRUCTION-MISMATCH, UNKNOWN, OUT-OF-SCOPE, or TOOL-FAILURE."},{"archetype_element":"Unknown and Nontermination Policy","domain_realization":"Treat an unrestricted decoder that does not finish within an operational budget as UNKNOWN rather than as invalid, non-reproducing, or evidence of minimality for another package."},{"archetype_element":"Fallback Solution Contract","domain_realization":"Permit ordinary compressors, procedural packages, and catalog searches to provide verified upper bounds on package size without inheriting a global lower-bound claim."},{"archetype_element":"Computability Guarantee Record","domain_realization":"Store master and package hashes, decoder semantics, dependency accounting, equality result, candidate and execution bounds, coverage certificate, result tier, and tool versions."},{"archetype_element":"Recheck Trigger","domain_realization":"Invalidate or reassess a certificate when the master, decoder, libraries, machine semantics, equality rule, package accounting, or any search bound changes."},{"archetype_element":"Complexity Follow-On Gate","domain_realization":"After bounded minimality is shown decidable, assess exponential candidate growth, decoding cost, storage overhead, and practical stopping bounds separately."}],"mechanism_mapping":[{"mechanism_slug":"diagonalization_impossibility_proof","role":"Tests whether a total unrestricted shortest-package procedure can exist by constructing, from the assumed complexity function, a master whose required description length contradicts the size of the construction that emits it.","counterfactual_removal":"The team would have only failed searches or informal appeals to compression difficulty, neither of which establishes a computability boundary."},{"mechanism_slug":"proof_checking","role":"Independently checks the diagonal argument, its counting step, encoding overhead, quantifiers, and correspondence between formal strings and canonical audiovisual masters.","counterfactual_removal":"A subtle error in the self-reference, master encoding, or size comparison could be institutionalized as an impossibility result."},{"mechanism_slug":"language_fragment_restriction","role":"Defines a mechanically recognizable decoder fragment whose programs have fixed finite syntax, data domains, and resource-bounded execution.","counterfactual_removal":"A candidate in the exact-minimality tier could contain unrestricted computation, destroying the finite termination argument."},{"mechanism_slug":"promise_problem_restriction","role":"Limits bounded certification to inputs satisfying declared promises about master size, decoder version, dependencies, program length, output length, and execution resources.","counterfactual_removal":"Callers could submit promise-violating packages and receive authoritative-looking answers outside the solver's accountability boundary."},{"mechanism_slug":"bounded_domain_exhaustive_search","role":"Enumerates every encoded package inside the declared finite space and compares every terminating bounded output with the master before selecting the shortest match.","counterfactual_removal":"MINIMAL-WITHIN-BOUND would mean only best among candidates the implementation happened to try."},{"mechanism_slug":"constructive_algorithm_and_correctness_proof","role":"Supplies the exhaustive bounded optimizer and proves termination, candidate-space coverage, exact comparison, and correct selection of the shortest in-bound reconstruction.","counterfactual_removal":"A finite implementation could still skip legal packages, mishandle ties, or terminate without supporting its minimum claim."},{"mechanism_slug":"proof_by_counterexample","role":"Treats any valid shorter in-scope reconstruction as a decisive refutation of an asserted minimum certificate.","counterfactual_removal":"A discovered shorter package might be dismissed as an ordinary improvement instead of triggering investigation of search coverage or scope labeling."},{"mechanism_slug":"semi_decision_with_explicit_unknown","role":"Allows an unrestricted candidate decoder to confirm exact reproduction when it halts with the correct output, while returning UNKNOWN at the operational limit rather than declaring that it cannot reproduce the master.","counterfactual_removal":"Timeouts could exclude valid programs and falsely strengthen another package's minimality claim."},{"mechanism_slug":"fallback_mode_router","role":"Routes requests among bounded exhaustive certification, exact reproduction checking, heuristic search, and escalation while attaching the strongest warranted label.","counterfactual_removal":"A valid upper bound, a finite-space minimum, and an unsupported global optimum could collapse into the same result."},{"mechanism_slug":"computability_boundary_decision_record","role":"Records the rejected unrestricted claim, certified finite boundary, shipped guarantee tiers, proof references, and re-evaluation triggers.","counterfactual_removal":"Changes in decoder power or package accounting could silently turn a valid bounded certificate into a broader and false claim."},{"mechanism_slug":"computational_complexity_analysis","role":"Evaluates how bounded candidate enumeration and execution costs grow after the finite problem has been established as decidable.","counterfactual_removal":"The team could confuse a terminating exhaustive procedure with a practically usable production optimizer."}],"causal_chain":["A finite audiovisual master can be represented as a canonical finite string, and an unrestricted reconstruction package can be represented as a program for a fixed universal decoder.","A total global optimizer would make the shortest program length K(s) computable for every master s.","Using that assumed procedure, a generator can search for and emit the first master whose computed shortest description exceeds an arbitrary threshold n.","For sufficiently large n, the generator plus its encoding of n is shorter than n while emitting a master asserted to require more than n bits, producing a contradiction if the argument's formal obligations hold.","The unrestricted total-minimality requirement is therefore withdrawn only after independent proof review, not because practical searches time out.","Restricting the decoder language, program length, literal domains, execution resources, and output size produces a finite enforceable candidate space.","Exhaustive enumeration and exact reconstruction comparison can then certify the shortest package within that finite boundary.","For other packages, reproduction checks establish only upper bounds, while explicit result tiers and decision records prevent them from being presented as global optima."],"baseline":"Search a configured collection of codecs, presets, and procedural generators; retain the smallest package that reconstructs selected comparison outputs; and describe it as optimal without publishing the candidate universe, execution exclusions, dependency accounting, exact equality contract, or distinction between finite search and unrestricted minimality.","nearest_rivals":["Codec-preset comparison: can identify the smallest exact package in a finite tested catalog but cannot establish global minimality across arbitrary executable decoders.","Heuristic procedural reconstruction: may produce a compact valid package and therefore a useful upper bound, but failure to find a shorter one is not a lower-bound certificate.","Deduplication or content-addressed storage: can remove repeated stored blocks under a fixed representation but does not answer which arbitrary program is the shortest exact generator.","Perceptual compression: optimizes a different, approximate objective and cannot support a bit-exact reconstruction or preservation claim unless the objective is explicitly changed.","Manual mastering and archive review: can choose acceptable formats and retention policies but does not constitute a uniform algorithm for global minimum-description search.","Unrestricted decoder search with longer timeouts: may discover additional candidates, but no finite timeout establishes that all shorter programs have been eliminated."],"remaining_contrastive_claim":"The proposal's remaining contrast is a preservation-facing separation between exact reproducibility, certified minimum size inside a finite decoder boundary, and unrestricted global description minimality. Its central intervention uses a reviewed diagonal boundary followed by finite-space minimum certificates and upper-bound-only fallbacks. This is a design contrast, not a claim of novelty, prevalence, demand, or effect size.","authority_safety":{"decision_authority":"The archive custodian retains authority over preservation copies and deletion or retention decisions. The mastering or distribution owner decides whether to use a compact package operationally. The certification service may label reconstruction and bounded minimality but cannot authorize disposal of the source master.","authorized_first_step":"Using synthetic masters and isolated decoder programs, the preservation engineering team may formalize one canonical master representation, submit the diagonal proof for independent review, define a tiny bounded decoder fragment, and test an exhaustive certification prototype. No production master, archive policy, or distribution package may be altered.","excluded_actions":["Delete, overwrite, or de-prioritize an authoritative master because a compact package passes the pilot.","Describe MINIMAL-WITHIN-BOUND, BEST-FOUND-WITHIN-SEARCH, or EXACT-REPRODUCTION as unrestricted global minimality.","Treat perceptual similarity, sampled-frame equality, or matching hashes of partial outputs as exact reconstruction.","Execute unrestricted or untrusted decoder programs outside an isolated resource-controlled environment.","Exclude a timed-out unrestricted decoder and use that exclusion to strengthen another package's minimum claim.","Reuse a certificate after decoder semantics, dependencies, package accounting, equality rules, master bytes, or search bounds change.","Represent the diagonal conclusion as established before independent checking of the formal construction."],"halt_rollback":"Halt the pilot if a certified package fails exact reconstruction, the exhaustive enumerator omits an independently constructed in-bound candidate, a shorter in-bound counterexample exists, a decoder escapes its resource boundary, or downstream records display a stronger tier than the certificate supplies. Disable certification consumption, preserve all original masters, quarantine affected packages and certificates, restore prior packaging procedures, and require corrected enumeration and independent re-review before resuming."},"negative_tests":{"strongest_counterevidence":"The strongest counterevidence would show that the actual optimization class is already a fixed finite catalog of total deterministic codecs and presets, and that the only claim sought is smallest exact package within that catalog. The task would then be straightforwardly decidable, leaving complexity, comparison accuracy, and operations rather than an unrestricted computability boundary.","problem_falsifier":"The problem is falsified if no stakeholder requests or communicates unrestricted global minimality, every search universe is finite and recorded, exact reproduction and perceptual acceptability are already distinguished, and preservation decisions never depend on an unproved lower bound.","intervention_falsifier":"The intervention fails if the diagonal argument cannot be formalized for the declared decoder and master representation, the bounded fragment admits hidden unbounded behavior, promise membership is unenforceable, enumeration omits a legal package, exact comparison excludes required master data, or bounded labels are promoted to global claims. Its practical premise is also defeated if even the smallest proposed finite space cannot be exhaustively checked for any pilot master.","risks":["Exhaustive bounded search may become impractical even for short programs.","A canonical bit-exact representation may include or exclude metadata incorrectly for the preservation objective.","Dependency accounting can hide substantial code or dictionaries outside the measured package.","Untrusted decoder execution can consume resources or attempt unauthorized access.","A verified package may depend on a decoder environment that is difficult to preserve independently.","Users may confuse a smaller package with a safer or more durable preservation format.","Certificates, program outputs, or diagnostic traces may expose unreleased media.","A narrow decoder fragment may certify only trivial packages and provide little operational value.","Pressure to save storage may encourage deletion despite the explicit separation between packaging and retention authority."]},"next_evidence_step":"Run one closed-book, non-production study. Freeze a canonical byte-level master representation and decoder model. Have a reviewer who did not author the argument check the diagonal proof's assumed total function, effective enumeration, counting step, generator construction, encoding overhead, sufficiently-large-n condition, and mapping from strings to valid masters. Implement an exhaustive optimizer for a deliberately tiny bounded decoder fragment and test 20 synthetic masters: six with independently derived shortest programs, four for which a heuristic returns a valid but nonminimal package, four with no in-bound reconstruction, two unrestricted decoders that exceed the operational limit, two packages with omitted dependencies, and two certificates invalidated by decoder or equality-rule changes. Record candidate counts, execution bounds, reproduction hashes, dependency totals, certificates, output tiers, and reviewer judgments. Fail the evidence step if a known shorter in-bound program is missed, an omitted dependency is accepted, a timeout becomes a negative reconstruction verdict, a changed model preserves a certificate, or any bounded result is labeled globally minimal.","prior_art_status":"UNSEARCHED","diversity_from_prior_proposals":"Proposal 1 addressed universal behavioral safety and termination of already-authored interactive packages, using finite-state restrictions, sound abstraction, and release-preflight routing. Proposal 2 addressed semantic equivalence between original and replacement render graphs, using proof-carrying rewrites and equivalence certificates. Proposal 3 addressed existential synthesis of a cut satisfying programmable editorial constraints, using fair enumeration for positive witnesses and exhaustive bounded search for negative conclusions. Proposal 4 instead addresses global description minimality for exact procedural preservation packages. Its causal path is a diagonal contradiction from an assumed computable shortest-description function, followed by finite decoder-space enumeration and tiered upper-bound labels. It is independently adoptable by mastering, storage, or archival operations without verifying interactive sessions, approving render substitutions, or synthesizing editorial cuts.","revision_record":{"parent_version":null,"progress_targets_addressed":["Created one complete candidate at proposal index 4.","Selected a preservation and compression-minimality problem materially distinct from behavioral verification, render equivalence, and editorial synthesis.","Specified a distinct diagonal causal argument, bounded certification intervention, authority controls, falsifiers, and first evidence.","Explained diversity from all three earlier sealed proposals."],"conceptual_changes":["Initial version; applied computability-boundary mapping to unrestricted shortest exact procedural descriptions of audiovisual masters."],"operational_changes":["Initial version; introduced MINIMAL-WITHIN-BOUND certificates, upper-bound-only reconstruction labels, isolated decoder execution, and master-retention safeguards."],"evidence_changes":["Initial version; prior art remains unsearched and first evidence is limited to independent diagonal-proof review and 20 synthetic-master fixtures."],"claim_changes":["Initial version; makes no novelty, prevalence, demand, or effect-size claim and conditions the unrestricted impossibility conclusion on successful independent proof checking."]}}