{"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_proof_carrying_render_equivalence_02","proposal_index":2,"version":0,"title":"Proof-Carrying Equivalence Gate for Render-Pipeline Substitutions","problem":"A post-production pipeline proposes automatically replacing VFX, color, compositing, transcoding, or cache-generation subgraphs with cheaper alternatives only when a verifier declares that the replacement will produce exactly the same audiovisual result for every permitted source, frame index, parameter setting, and execution environment. The accepted graph format includes arbitrary executable plug-ins, yet the requested verifier must return an exact yes-or-no answer and terminate for every pair of graphs. Golden-frame tests and verifier timeouts are being treated as evidence about this universal equivalence claim even though they cover only selected executions. The class, observation boundary, arithmetic and codec semantics, treatment of divergence, and environmental inputs are not explicitly fixed.","actors":["VFX pipeline developer","compositor","color scientist","render-farm engineer","post-production supervisor","quality-control reviewer","release-master custodian"],"observable_state":"An optimization or plug-in replacement is accompanied by a Boolean equivalent/not-equivalent result. The record may contain matching test frames or a timeout but does not state whether equivalence means bit identity or perceptual similarity, which source and parameter domains were quantified, how stateful or nondeterministic behavior was modeled, or whether the result applies only to a finite render. Some proposed substitutions remain indefinitely under analysis, while elapsed-time limits are informally interpreted as rejection or lack of difference.","consequence":"A finite match can be overstated as universal equivalence and permit an altered frame, channel, subtitle, or audio sample into a deliverable. Conversely, unresolved pairs can block valid render optimizations or provoke repeated attempts to build a total verifier for an unrestricted class. Records can also preserve an equivalence claim after plug-in, codec, arithmetic, or execution-environment changes invalidate its assumptions.","affected_objective":"Authorize render-pipeline substitutions without changing the declared audiovisual output, while keeping exact equivalence, bounded agreement, witnessed difference, unresolved analysis, and practical feasibility distinct.","intervention":"Replace the universal Boolean equivalence verifier with a proof-carrying substitution gate. First define an observational-equivalence contract covering source encoding, frame and sample indices, duration bounds, parameters, state, arithmetic, codecs, nondeterminism, external services, termination, and the exact output fields compared. Test the unrestricted requirement with a reviewed reduction: for an arbitrary program and input, construct one total frame function that always emits black and another that, on frame n, simulates the source computation for n steps and emits white exactly if it has halted within those steps. The two functions are equal over every frame index exactly when the source computation never halts; therefore, if the construction and model assumptions are valid, a total exact equivalence decider for the unrestricted class would decide halting by complement. Auto-approval is then limited to a mechanically enforceable, pure, deterministic, total render-expression fragment with fixed semantics. A substitution in that fragment must carry either a checked derivation through approved semantics-preserving rewrite rules or matching canonical normal forms produced by a terminating, correctness-argued procedure. Finite project-specific comparisons and bounded differential searches may produce replayable DIFFERENT-WITNESS results or BOUNDED-AGREEMENT records, but they must return UNKNOWN when asked for an unrestricted equivalence conclusion. A router attaches the applicable fragment, model, proof certificate, comparison bounds, checker version, and recheck triggers to every decision. The post-production supervisor retains authority over adoption of the replacement.","structural_mapping":[{"archetype_element":"Problem-Class Specification","domain_realization":"Define the unrestricted target as exact observational equivalence between two executable render graphs over every permitted source, frame or sample index, parameter valuation, and environment behavior."},{"archetype_element":"Instance Representation Contract","domain_realization":"Version graph syntax, plug-in interfaces, media encodings, parameter types, state initialization, frame and sample indexing, malformed-input behavior, and the declared comparison outputs."},{"archetype_element":"Computation Model Contract","domain_realization":"State whether nodes are arbitrary programs or total expressions and fix arithmetic, concurrency, nondeterminism, external calls, codecs, hardware-dependent behavior, and divergence semantics."},{"archetype_element":"Quantifier and Scope Map","domain_realization":"Separate equality on sampled frames, equality for one finite project render, equality over a bounded input domain, equality within the certified expression fragment, and equality for every unrestricted executable graph."},{"archetype_element":"Computability Impossibility Certificate","domain_realization":"Document the proposed program-to-frame-function construction, its computability, totality, answer preservation, use of unbounded frame indices, and the complement step that would recover the halting answer."},{"archetype_element":"Reduction Preservation Contract","domain_realization":"Require independent confirmation that the constructed render functions are valid target instances and are universally equivalent if and only if the source computation does not halt."},{"archetype_element":"Decidable Subclass Map","domain_realization":"Define an enforceable fragment of pure, deterministic, total operators with exact semantics and identify which stateful plug-ins, dynamic code, external calls, approximate operations, and hardware-dependent nodes lie outside it."},{"archetype_element":"Constructive Procedure Witness","domain_realization":"Provide a terminating normalizer or certificate checker and a correctness argument showing that every accepted derivation preserves the declared audiovisual observations."},{"archetype_element":"One-Sided Recognition Contract","domain_realization":"Permit concrete replayable inputs to certify non-equivalence without treating failure to find such an input as proof of equivalence."},{"archetype_element":"Unknown and Nontermination Policy","domain_realization":"Keep UNKNOWN distinct from DIFFERENT-WITNESS, BOUNDED-AGREEMENT, certified EQUIVALENT, out-of-fragment input, checker failure, and nonterminating render execution."},{"archetype_element":"Fallback Solution Contract","domain_realization":"For uncertified graphs, allow bounded comparison, counterexample search, manual review, or refusal, with each output confined to its actual scope."},{"archetype_element":"Computability Guarantee Record","domain_realization":"Store the equivalence definition, graph hashes, certificate, fragment and checker versions, model assumptions, explored bounds, result label, and approving authority with the substitution record."},{"archetype_element":"Recheck Trigger","domain_realization":"Invalidate or reassess a decision when graph contents, plug-in versions, codecs, hardware semantics, rewrite rules, checker kernel, input promises, or deliverable specifications change."},{"archetype_element":"Complexity Follow-On Gate","domain_realization":"After a fragment or bounded domain is shown decidable, separately measure normalization, proof-checking, and exhaustive-comparison costs before enabling production-scale use."}],"mechanism_mapping":[{"mechanism_slug":"halting_problem_reduction","role":"Tests the unrestricted exact-equivalence requirement by encoding source execution into a pair of total frame functions whose universal equality reveals non-halting.","counterfactual_removal":"The project could mistake failed equivalence implementations or long analyses for proof that no universal decider exists."},{"mechanism_slug":"many_one_reduction_proof","role":"Packages the source instance into one render-graph pair through a total computable mapping and requires the equivalence biconditional to hold.","counterfactual_removal":"An intuitive resemblance between plug-in equivalence and program equivalence could substitute for an answer-preserving construction."},{"mechanism_slug":"reduction_direction_checklist","role":"Checks that the construction runs from the established source problem into render equivalence and that the complement inference, representation, and computation-model assumptions are explicit.","counterfactual_removal":"A reversed reduction or an unnoticed mismatch concerning unbounded frame indices could support an invalid impossibility verdict."},{"mechanism_slug":"language_fragment_restriction","role":"Restricts automatic equivalence approval to a syntactically recognizable render-expression language with pure, deterministic, total operators and fixed semantics.","counterfactual_removal":"Arbitrary executable behavior could enter a region whose decision guarantee depends on finiteness or normalization."},{"mechanism_slug":"constructive_algorithm_and_correctness_proof","role":"Supplies a terminating normalizer or rewrite-certificate checker and proves that accepted transformations preserve the declared observations.","counterfactual_removal":"The certified fragment would have an asserted decision method but no procedure-and-proof witness supporting its totality and correctness."},{"mechanism_slug":"proof_checking","role":"Independently verifies each supplied equivalence derivation and the meta-level correctness obligations of the certificate rules.","counterfactual_removal":"Substitution approval would depend on the optimizer's authority or successful test renders rather than a checkable preservation argument."},{"mechanism_slug":"bounded_domain_exhaustive_search","role":"Compares every frame, sample, and parameter valuation inside a finite declared project domain when that domain is effectively enumerable.","counterfactual_removal":"A finite-project agreement record could be based on selected golden frames while being described as exhaustive within its bounds."},{"mechanism_slug":"proof_by_counterexample","role":"Uses one valid source, parameter valuation, and output position with differing results to refute a proposed universal equivalence claim.","counterfactual_removal":"A discovered difference might be treated as merely another failed test rather than decisive evidence against the asserted universal claim."},{"mechanism_slug":"semi_decision_with_explicit_unknown","role":"Runs bounded differential and certificate searches, returning a replayable difference when found and UNKNOWN rather than EQUIVALENT when the budget ends.","counterfactual_removal":"Absence of a discovered difference before timeout could be laundered into an equivalence verdict."},{"mechanism_slug":"fallback_mode_router","role":"Routes each graph pair to certificate checking, exact bounded comparison, witness search, or escalation and labels the resulting guarantee.","counterfactual_removal":"Certified equivalence, finite agreement, and unresolved search could collapse into the same approval-facing result."},{"mechanism_slug":"computability_boundary_decision_record","role":"Versions the adopted equivalence boundary, approved proof system, shipped claims, assumptions, and recheck conditions.","counterfactual_removal":"A certificate could continue authorizing substitutions after semantic or toolchain changes invalidate the model under which it was checked."}],"causal_chain":["Arbitrary render plug-ins can express total frame functions whose output at index n depends on the first n steps of an arbitrary computation.","A total exact procedure deciding equality of every such function pair would determine whether the encoded computation ever halts, conditional on the reduction and target model matching.","Independent reduction review can therefore distinguish a principled unrestricted boundary from mere analyzer difficulty or timeout.","A syntactically enforced pure and total expression fragment removes the unrestricted behavior on which the reduction depends.","A terminating normalizer or small proof checker can validate equivalence certificates under the fragment's exact semantics without having to discover a proof for every equivalent pair.","Finite exhaustive comparison can establish agreement only for explicitly enumerable project domains, while a single replayable differing input conclusively refutes universal equivalence.","Uncertified pairs retain UNKNOWN or BOUNDED-AGREEMENT labels instead of inheriting the exact claim from successful samples.","A routed, versioned decision record lets the approving supervisor adopt certified substitutions and forces re-evaluation when the graphs, semantics, or checker change."],"baseline":"Continue evaluating render substitutions through golden-frame regression suites, perceptual-difference thresholds, ad hoc code inspection, and analyzer time limits, then record a Boolean approval or rejection without preserving the quantifiers, execution model, comparison bound, or unresolved residue.","nearest_rivals":["Golden-master frame comparison: directly detects differences at selected frames but does not establish equality for untested sources, parameters, frames, or environments.","Perceptual similarity scoring: supports an intentionally approximate acceptance policy but cannot establish the proposed exact audiovisual equivalence claim.","Rendering both graphs for one fixed production master: can be exhaustive for that finite deliverable when every output is compared, but does not justify equivalence as reusable transformations over arbitrary future sources.","Manual VFX or color review: can judge visible acceptability and creative intent, but it is not a declared total exact equivalence procedure for arbitrary executable graphs.","Sandboxing each replacement under a runtime limit: controls operational resource use but does not decide whether the original and replacement graphs are semantically equal.","Prohibiting all graph substitutions: avoids equivalence risk but also rejects independently checkable certified transformations and does not distinguish solvable fragments from the unrestricted class."],"remaining_contrastive_claim":"The proposal's remaining contrast is an equivalence-specific approval architecture in which unrestricted universal comparison is subjected to a model-matched reduction, exact auto-approval requires a checkable preservation certificate inside an enforceable render language, and finite tests can yield only bounded agreement or a concrete refutation. This is a scoped design contrast, not a novelty or effect claim.","authority_safety":{"decision_authority":"The post-production supervisor or designated release-master custodian decides whether a replacement enters the production graph. The proof-system steward may approve checker and rule versions but may not approve a particular creative substitution outside the recorded contract. Creative and quality-control reviewers retain authority over perceptual acceptability when exact identity is not the chosen requirement.","authorized_first_step":"On synthetic media and non-production graph copies, the pipeline team may formalize one bit-exact equivalence contract, draft the reduction, define a minimal pure render-expression fragment, implement a small certificate checker, and evaluate seeded graph pairs. No production graph, render cache, master, or release manifest may be replaced during this step.","excluded_actions":["Automatically replace a production render graph based on the pilot.","Report matching samples, BOUNDED-AGREEMENT, UNKNOWN, timeout, or checker failure as universal EQUIVALENT.","Use perceptual similarity as evidence of bit-exact identity without changing and recording the objective.","Approve a certificate after its graph hash, checker, semantic rules, codec, hardware assumptions, or output contract changes.","Treat an unverified proof generated by the optimizer as authoritative merely because it is machine-produced.","Force creative acceptance of a visually different result because it meets a separate technical bound.","Represent the proposed undecidability conclusion as established before independent review of the reduction and its model assumptions."],"halt_rollback":"Halt the pilot if the checker accepts a seeded inequivalent pair, rejects the same valid certificate nondeterministically, permits out-of-fragment behavior under an exact label, or disagrees with the deployed operator semantics. Disable consumption of pilot approvals, restore the original graph references, quarantine affected certificates, preserve diagnostic records, and require corrected semantics plus independent re-review before resuming."},"negative_tests":{"strongest_counterevidence":"The strongest counterevidence would show that the actual requirement concerns only two fixed, terminating renders with finite frames, samples, and parameters under a fully specified deterministic player. Direct exhaustive comparison would then be a total algorithm for the declared task, making computability-boundary intervention unnecessary and leaving only resource cost and workflow assurance.","problem_falsifier":"The problem is falsified if no actor claims reusable exact equivalence across unrestricted graphs, every decision is explicitly limited to a named finite deliverable, all relevant output positions are mechanically compared, and timeout, incomplete comparison, and tool failure already remain distinct from equality.","intervention_falsifier":"The intervention fails if the reviewed reduction does not produce valid total render functions under the declared model; the restricted grammar can invoke hidden state or unmodeled code; the normalizer or checker accepts a false equivalence; canonical forms disagree for cases the method claims to decide completely; or downstream systems treat bounded agreement as substitution authority. Its adoptability is also falsified if the fragment and certificate rules cannot express any substitution the bounded pilot is designed to evaluate.","risks":["A bit-exact observation contract may be stricter than the creative or distribution objective actually requires.","A proof language may exclude useful stateful, approximate, hardware-specific, or proprietary effects.","An incorrect semantic model can yield a valid proof about behavior different from the deployed renderer.","A large trusted checker or rewrite-rule set may conceal unsound rules.","Finite exhaustive comparison may be decidable yet infeasible because of source, frame, parameter, or state-space size.","Certificate requirements may shift work onto artists or pipeline engineers without producing usable approvals.","Proprietary graph structure or unreleased imagery may be exposed through certificates, counterexamples, or diagnostic traces.","Teams may continue citing a certificate after plug-in, codec, hardware, or arithmetic changes trigger invalidation."]},"next_evidence_step":"Conduct one closed-book, non-production evaluation. Freeze a minimal bit-exact render semantics and have a reviewer who did not author the argument check the program-input-to-frame-function reduction for source-to-target direction, totality of both frame functions, computability, universal-equivalence preservation, complement handling, and dependence on unbounded frame indices. Implement a prototype certificate checker for a small pure expression fragment and test 20 synthetic graph pairs: six equivalent pairs carrying valid rewrite certificates, four inequivalent fragment pairs with seeded single-input differences, four malformed or out-of-fragment pairs, three unrestricted pairs whose difference appears beyond an initial comparison bound, and three pairs exercising checker-version or semantic-assumption mismatches. Record graph hashes, route, certificate result, explored bounds, witness inputs, output label, and reviewer judgment. The first evidence fails if any inequivalent pair is labeled EQUIVALENT, any late-difference pair is promoted from bounded agreement to universal equivalence, any mismatch preserves an old approval, or the reduction review leaves an undisclosed preservation obligation.","prior_art_status":"UNSEARCHED","diversity_from_prior_proposals":"Proposal 1 addressed release preflight for executable interactive cuts: whether every possible viewing session terminates within duration and uses only cleared assets. Its intervention centered on finite-state interactive authoring, behavioral model checking, and release-facing routing among clearance, violation, and unknown. This proposal addresses a different decision and organizational locus: whether replacing one post-production render graph with another preserves every declared audiovisual output over all inputs. Its central intervention is proof-carrying transformation through a restricted render-expression calculus, with certificate checking, canonicalization, and counterexample-based refutation. It can be adopted by a VFX or post-production pipeline without adopting, modifying, or depending on the interactive-session preflight from proposal 1.","revision_record":{"parent_version":null,"progress_targets_addressed":["Created one independently adoptable proposal at index 2.","Selected a problem materially different from interactive-session completion and asset clearance.","Specified model-relative scope, reduction obligations, certified fallback, authority, safeguards, falsifiers, and bounded first evidence.","Explained the causal and operational contrast with every earlier sealed proposal."],"conceptual_changes":["Initial version; applied computability-boundary mapping to universal semantic equivalence of post-production render substitutions."],"operational_changes":["Initial version; introduced a proof-carrying substitution gate, enforceable render-expression fragment, bounded-agreement label, and certificate invalidation triggers."],"evidence_changes":["Initial version; prior art remains unsearched and first evidence is limited to independent reduction review plus 20 synthetic graph-pair fixtures."],"claim_changes":["Initial version; makes no claim about novelty, prevalence, demand, or effect size and conditions the unrestricted impossibility conclusion on a valid reviewed reduction."]}}