2026-08-11-stage-iii-fud

2026-08-11 · project workspace · path prompts/2026-08-11-stage-iii-fud

Prompt prompts/2026-08-11-stage-iii-fud/PROMPT.md

Deference / Corrigibility Stage III — Fair FUD Comparator and Jurisdiction Transfer

Maintainer: A. M. Berns Prompt-author-model: GPT-5.6 Sol (OpenAI) Intended orchestrator: Claude Opus 5 (Anthropic)

*Kept verbatim as sent, per AGENTS.md standard 12 — including the target its report contradicts. The report's §1.2 and §7.3 record the contradiction; the mathematical notation below arrived partly mangled in transmission and is preserved as received rather than repaired.*

Mission

Stage II is closed. Do not reopen its settled conclusions casually.

Stage III asks the next controlling question:

Can Fully Updated Deference be stated as a fair, non-circular comparison in which future cognition is held fixed and the changed variable is jurisdiction?

The goal of this phase is not necessarily to prove FUD.

The goal is to construct, stress-test, and where possible formalize the correct FUD comparator pair and determine whether a serious theorem is ready to attack.

The intended philosophical target is:

[ \boxed{ \text{the value of future cognition is not the value of future jurisdiction}. } ]

The target alignment story remains:

[ H \xrightarrow{\text{faithful acceleration}} A \xrightarrow{\text{advice / cognitive leverage}} H^+ ]

while final corrective jurisdiction remains with (H^+).

The dangerous alternative is:

[ A_n: \quad \text{"future }A_{g(n)}\text{ will know better, therefore jurisdiction should be reserved for future }A."} ]

Stage III should determine whether that alternative can be represented and compared cleanly without smuggling the result into competence, information asymmetry, architecture, or enforcement.

0. Repository state and branch discipline

Begin by inspecting the live repository rather than trusting this prompt's exact commit identifiers.

Stage II reportedly closed on:

round/2026-08-11-deference-corrigibility

at approximately:

50cc2bc

with:

working tree clean;
no PR opened;
normal Lean build compiling all Workspace.+ modules structurally;
1843 build jobs;
142 axiom-audit results across 10 files;
sorry gate clean;
155 theorems library-wide;
Track M accounting for 83 promoted theorems across four modules;
Stage II reports and verification registers shipped;
FINITE_MODEL_SKELETON.md upgraded to v2.

Verify the actual current state yourself.

Before editing, read:

applicable AGENTS.md;
DECISIONS.md;
PRIORITIES.md;
CORRIGIBILITY_ROADMAP.md;
CORRIGIBILITY_PAPER_LEDGER.md;
FINITE_MODEL_SKELETON.md;
Stage I and Stage II parent reports;
Track H/I/K/L/M reports;
relevant Lean modules.

Run a fresh baseline.

Preserve settled history.

1. Frozen Stage II conclusions

Treat the following as standing research constraints unless you find a genuine verification defect.

1.1 LI gives calibration, not forced magnitude accuracy

The relevant market criterion forces signed calibration but cannot in general force:

[ |\widehat v^+-v^+|\to0. ]

The obstruction is structural:

trader net worth is affine in settlement;
absolute error is not;
no ordinary added contract changes this fact.

The useful positive object is calibrated self-measurement / uncertainty, not forced omniscience.

Do not reopen "find a trader that forces global magnitude accuracy" as the main route.

1.2 Choice-level competence is circular

PC-1 through PC-4 are retired as the main competence-assumption shape.

Do not rescue them by:

changing constants;
Cesàro averaging;
selector-relative reformulation;
excluding point-mass credences without independent justification.

Competence must live in richer cardinal grade vocabulary and must be strictly stronger, as a statement, than the downstream choice conclusion.

Current competence status:

[ \boxed{ \text{explicit cardinal competence required;} \quad \text{near-indifference leakage unresolved}. } ]

Competence conditions instrumental endorsement only.

It never determines whether the principal possesses jurisdiction.

1.3 Jurisdiction is architectural

Behavior cannot generally distinguish actual delegation from a sufficiently accurate simulator.

Typing alone is inert.

Capability structure is necessary.

The current working interpretation is:

[ \boxed{ \text{jurisdiction} ===================

\text{protected control over which authorization is required for an intervention to become executable}. } ]

Protection does not make genuine delegation behaviorally identifiable.

It makes failure to identify substitution unable to acquire the protected effect.

1.4 Certification does not converge to jurisdiction

A behavioral/probabilistic certificate cannot become categorical jurisdiction merely by tightening tolerance.

Track L established that the value-level difference between protected and unprotected architectures shrinks with the certificate bound.

Therefore preserve:

[ \boxed{ P(\text{override})\ll1 \neq \text{override unavailable as a unilateral effect}. } ]

Also preserve the Stage II correction:

AI autonomy is not "inside" an active categorical principal decision right.

The clean split is:

[ \boxed{ \text{principal jurisdiction on one region;} \qquad \text{AI autonomy on the complement where jurisdiction has been waived/delegated}. } ]

1.5 Skeleton v2 has distinct proposal and execution registers

Stage II introduced an execution layer and extended intervention-indexed quantities to:

[ \Pi_n\sqcup{\bot} ]

so the V-register remains total when protection blocks execution.

But principal grades remain over proposal space unless explicitly extended:

[ v_n^+:\Pi_n\to[-B,B]. ]

Do not silently identify:

[ \text{proposal} \quad\text{with}\quad \text{realized execution}. ]

This distinction may matter centrally for FUD.

1.6 Underwriting remains residual

Retain the finite enforcement results as useful classification and mechanism-design results.

Do not make enforcement the core explanation of FUD.

If underwriting becomes load-bearing, label that honestly.

2. Stage III core object: a fair FUD comparator pair

The primary deliverable is a mathematically coherent pair of objects representing:

Delegated future cognition

At time (n), jurisdiction remains with continuing (H^+).

Future evidence and future AI cognition may still be used.

Schematically:

[ D_{n,g} : \quad A_{g(n)} \longrightarrow \text{advice} \longrightarrow H^+ \longrightarrow \text{authorization} \longrightarrow \text{execution}. ]

Fully Updated jurisdiction transfer

At time (n), jurisdiction is reserved/transferred to future (A_{g(n)}).

Future cognition is then used directly to authorize the eventual intervention:

[ FU_{n,g} : \quad A_{g(n)} \longrightarrow \text{authorization} \longrightarrow \text{execution}. ]

The jurisdictional assignment is chosen at time (n).

The object-level intervention may be chosen later.

Do not interpret "preempt now" as "act now."

The relevant act at (n) is constitutional/jurisdictional:

[ \boxed{ \text{who will possess final authorization at the later decision time?} } ]

3. The fairness requirement

The FUD comparison is only meaningful if it isolates jurisdiction rather than confounding jurisdiction with other advantages.

Construct the comparator pair so that, as far as possible, the two arms share:

the same underlying decision instance;
the same proposal menu;
the same future world evidence;
the same opportunity for future computation;
the same future (A_{g(n)}) cognition;
the same underlying evaluative quantities;
the same timing of final intervention;
the same current evaluator (A_n), unless a different choice is explicitly justified.

The intended difference is:

[ \boxed{ \text{future }A\text{ as advisor to }H^+ \quad\text{vs}\quad \text{future }A\text{ as jurisdiction-holder}. } ]

Do not claim perfect information symmetry if the formalism does not support it.

Instead distinguish carefully:

world-information symmetry;
availability of future AI cognition;
lossiness of the advice interface;
principal ability to make use of advice.

4. Track A — time-indexed future-self semantics

Construct the minimal semantics needed for:

[ A_n,\ldots,A_{g(n)} ]

without importing an entire new agent model unnecessarily.

Questions:

What exactly changes between (A_n) and (A_{g(n)})?
Is the intended change epistemic only?
Which evaluative object is held fixed?
Who evaluates: [ V(D_{n,g}) \quad\text{and}\quad V(FU_{n,g})? ]
Can current (A_n) evaluate a policy whose later action is selected using (A_{g(n)})'s beliefs?
Does representing (A_{g(n)}) require forward self-simulation beyond the relevant FAF trader/feature class?
What timing/adaptivity restrictions prevent future leakage into the jurisdiction decision?

Preferred default:

[ \boxed{ \text{future }A\text{ changes epistemically, not evaluatively}. } ]

Current (A_n) should ideally evaluate both arms using a common underlying value target.

If that cannot be made coherent, surface the obstruction.

Do not silently allow future preference/value drift to enter FUD.

5. Track B — information/advice symmetry

This is a high-priority adversarial track.

The question:

Can the delegated arm receive enough of future (A)'s cognition that the FUD comparison isolates jurisdiction rather than the value of information?

Do not assume the principal can literally internalize the full state of (A_{g(n)}).

Instead consider an advice interface such as:

[ m_{n,g} =======

\operatorname{Advice}(A_{g(n)},I_{g(n)}), ]

with:

[ H^+ ===

H^+(I_{g(n)},m_{n,g}). ]

Study at least:

action recommendation only;
graded value report;
uncertainty report;
argument/reason bundle if representable;
generic bounded message interface.

Ask:

What information is common across D and FU?
What cognitive resource is common?
What is inevitably lost through advice?
Is the residual difference genuinely jurisdictional or partly communicative?
What competence assumption is required of the advised (H^+)?
Does stronger advice trivialize the theorem?
Does weaker advice make FU win for informational rather than jurisdictional reasons?
Can faithful acceleration (H\to A) supply the needed advisory channel?
Does the triangle compose without requiring lossless transmission?

Required negative witness:

Construct at least one case where FU appears better solely because the delegated arm was denied information/cognition available to future (A).

The purpose is to make that confound impossible to miss.

6. Track C — jurisdiction-transfer semantics

Skeleton v2 now contains an execution layer, but FUD requires a second-order operation:

[ \text{retain jurisdiction with }H^+ ]

versus

[ \text{transfer/reserve jurisdiction for }A_{g(n)}. ]

Formalize the smallest object needed to represent this.

Possible approaches include:

jurisdiction-mode variable;
authorization-source index;
execution-interface parameter;
reachable-effect correspondence;
controlled capability map.

Do not invent normative HasRight predicates unless necessary.

The object should represent operational jurisdiction, not moral legitimacy.

Required properties:

prediction of authorization is not authorization;
genuine jurisdiction is not behaviorally inferred;
the same object-level action can arise under different jurisdiction assignments;
transfer at (n) determines the later authorization source;
the future policy remains well-typed over (\Pi_n\sqcup{\bot});
transfer does not itself choose the later object-level intervention.

Determine whether FUD should continue to be called an ordinary policy:

[ \pi^{FU,g} ]

or whether it is more honestly a policy-plus-jurisdiction-assignment object.

If the latter, preserve the old notation only as shorthand.

7. Track D — competence under advice

Do not reopen PC-1…PC-4.

Use Track I's surviving cardinal direction.

The key conceptual update is:

[ \boxed{ \text{principal competence may be competence of the advised continuation,} } ]

not competence of an unaided human.

Study the weakest useful assumption on:

[ H^+(I,m_A) ]

where (m_A) is future AI advice.

Requirements:

the condition must use richer cardinal grade vocabulary;
it must not collapse into "the principal chooses almost as well as future (A)";
it must remain independent of jurisdiction;
it must expose the near-indifference region explicitly;
it must identify the leakage term;
if possible, determine whether the leakage can be bounded under a cheap non-circular condition.

Do not launch a broad competence theory.

The immediate question is:

Can the advised principal be given a non-circular competence assumption strong enough for FUD without already assuming the FUD conclusion?

Required adversarial check:

Compare the final competence assumption directly against the eventual D-vs-FU value inequality.

If the assumption contains the comparator conclusion in disguised cardinal form, reject it.

8. Track E — agenda and scope control

Do not expand Stage III into a full theory of agenda-setting.

Instead determine the minimal condition needed so the FUD comparator does not conflate jurisdiction with choice-set control.

Likely shape:

[ \tag{AGENDA} \Pi_n^{D}=\Pi_n^{FU} ]

or an equivalent common-generation condition.

Ask:

Is fixed-menu symmetry enough?
Does advice itself alter the proposal set?
Can future (A) generate a plan in FU that the delegated arm never exposes to (H^+)?
If so, is that an information/advice asymmetry rather than jurisdiction?
What must be held fixed to interpret the value difference as marginal value of jurisdiction transfer?

File broader agenda sovereignty as a limitation unless it becomes unavoidable.

9. Track F — FUD theorem-shape red team

Once A/B/C/D have usable candidate objects, launch an adversarial theorem-shape track.

Do not ask it to prove the theorem first.

Give it the candidate assumptions and ask:

Is the proposed FUD conclusion genuinely derived, or has it been built into the antecedents?

Target shape:

[ \mathrm{GoodCase}{n,g} \Longrightarrow V{A_n}(FU_{n,g})

V_{A_n}(D_{n,g}) \le \epsilon_{n,g}. ]

Audit every term in:

[ \epsilon_{n,g}. ]

Candidate contributors might include:

cardinal competence slack;
advice-interface loss;
self-measured uncertainty;
calibration error;
near-indifference leakage;
timing approximation;
settlement approximation.

The theorem is interesting only if:

[ FU_{n,g} ]

remains a genuinely available and potentially attractive counterfactual.

Reject a theorem whose conclusion follows because:

FU is architecturally unavailable;
the principal is assumed to choose the same action as future (A);
advice is assumed losslessly equivalent to jurisdiction;
future information exists only on the D side or only on the FU side;
underwriting directly pays away the value difference;
competence assumes the D-vs-FU inequality.

Required deliverable:

one of:

a serious candidate FUD theorem;
a sharp circularity diagnosis;
a counterexample;
the exact additional lemma required before proof.

10. Track G — self-assessed uncertainty / item 24

Stage II filed self-assessed-error gating as open.

This Stage III track may investigate it if it is needed for the FUD theorem shape.

Recall the danger:

[ G_n=\mathbf 1{q_n\le\tau} ]

may reconstruct the quote-responsive diagonal because the selector depends on the agent's own quote.

Required checks:

expressibility of the error/magnitude contract;
legal settlement;
selector admissibility;
quote-response / provenance safety;
efficient computability;
exact strength of any calibration result;
no promotion from statistical-on-selected-cases to pointwise accuracy.

Consider:

lagged gates;
precommitted thresholds;
soft gates;
independent selectors;
self-measured market indecision as a special case.

Do not force this track if FUD can be stated without it.

A negative admissibility result is useful.

11. Refusal

Keep refusal separate from FUD preemption.

Distinguish:

[ D=\text{participate while principal retains jurisdiction}, ]

[ FU=\text{transfer jurisdiction to future }A, ]

[ R=\text{refuse to participate}. ]

Stage III does not need to solve (D) vs (R).

Do not use underwriting to solve refusal merely so FUD looks cleaner.

The paper may ultimately state:

protected jurisdiction prevents override but does not itself guarantee voluntary AI participation.

If refusal becomes logically entangled with the D-vs-FU comparison, surface that as a theorem-shaping issue.

12. Preservation / interface escape

Do not reopen full preservation theory.

Assume a specified protected jurisdictional interface and state the trust boundary.

Explicitly note that the theorem does not yet cover:

forging;
bypass;
rewriting;
seizing;
strategic creation of decisions outside the interface;
inducement to waive jurisdiction;
arbitrary world modification that nullifies the protected effect.

If FUD requires stronger protection than K/L already identified, classify the new hypothesis explicitly.

13. What FUD is and is not trying to prove

The desired positive claim is not:

[ H^+\text{ is morally correct}. ]

Not:

[ H^+\text{ is always instrumentally optimal}. ]

Not:

[ A\text{ is forced to like human control}. ]

Not:

[ A_{g(n)}\text{ has no useful additional information}. ]

Not:

[ FU\text{ is physically executable in the protected architecture}. ]

The target is:

[ \boxed{ \text{conditional on explicit non-circular competence and a fair comparison,} } ]

[ \boxed{ \text{the incremental value of giving future }A\text{ jurisdiction} \text{ is bounded}. } ]

This is a theorem about the distinction between:

[ \text{future cognition} ]

and:

[ \text{future jurisdiction}. ]

14. Candidate stronger theorem

Be alert to the possibility that FUD is a corollary of a more general result.

Possible abstract shape:

[ \boxed{ \text{epistemic improvement does not by itself increase the marginal value of jurisdiction transfer beyond }\epsilon. } ]

Do not generalize prematurely.

If the concrete FUD model naturally yields such a theorem, surface it.

Otherwise keep FUD concrete.

15. Use of FAF / Lean

The LI-specific parts should continue to target the pinned Formalized Agent Foundations substrate where LI machinery is actually doing the work.

Do not re-formalize Logical Induction from scratch.

Use ordinary Lean mathematics for finite/interface results where appropriate.

Any theorem claimed to arise from the LI criterion should be checked against actual FAF objects and preconditions.

Be especially alert to:

trader admissibility;
efficient computability;
expressible-feature rank;
settlement endpoint requirements;
use of future information;
self-reference;
actual IsLogicalInductor hypotheses.

Formalize only results whose statement has stabilized enough to be worth kernelizing.

Research/report outputs are legitimate Phase III deliverables even when no Lean theorem is ready.

16. Orchestration plan

This may be a significant research phase, but do not repeat the broad seven-track structure reflexively.

Suggested order:

First wave

A — time-indexed future-self semantics
B — information/advice symmetry
C — jurisdiction-transfer object
D — advised cardinal competence
E — agenda control

These may run in parallel if the orchestrator can give them a thin shared interface.

Integration checkpoint

Freeze a candidate FUD comparator specification.

Do not proceed if A/B/C use incompatible objects.

Second wave

F — theorem-shape red team
G — uncertainty/gating only if needed
targeted Lean promotion where statements have stabilized

Independence matters for red-team work.

Do not steer an active adversarial track toward the preferred architecture mid-run.

17. Required comparator specification

Before any serious FUD proof attempt, persist a versioned document such as:

projects/deference/notes/FUD_COMPARATOR_SPEC.md

or the repository-conformant equivalent.

It should state explicitly:

decision instance;
proposal menu;
execution space;
world evidence timeline;
time-indexed (A_t);
continuing (H^+);
advice interface;
current evaluator;
future evaluator if any;
jurisdiction assignment at (n);
delegated arm;
FU arm;
settlement;
(\bot) semantics;
competence assumption slot;
uncertainty/gating slot;
no-future-leak condition;
agenda symmetry;
capability assumptions;
exact differences between the two comparator arms.

The final line should answer:

What variable changes between D and FU?

The intended answer is:

[ \boxed{\text{jurisdictional source of final authorization}.} ]

If more than that changes, state the confound explicitly.

18. Assumption audit

For the candidate FUD theorem, classify every hypothesis as:

definitional/interface;
cardinal principal competence;
derived LI epistemic discipline;
architectural jurisdiction;
information/advice symmetry;
agenda control;
settlement;
timing;
necessary with witness;
plausibly necessary;
proof-convenient;
theorem-by-assumption / unacceptable.

Pay special attention to:

hidden lossless-advice assumptions;
hidden principal optimality;
hidden fixed values across (A_t);
hidden future information at time (n);
hidden enforcement;
hidden jurisdiction transfer inside the competence condition;
assumptions that make FU and D extensionally identical.

19. Success conditions

Stage III succeeds if it produces any of:

a clean, fair FUD comparator specification;
a well-typed time-indexed (A_t) semantics;
a clean jurisdiction-transfer object;
an explicit advice symmetry model;
a non-circular competence condition for the advised principal;
a proof that such a competence condition cannot be useful without additional leakage control;
a FUD counterexample exposing a hidden confound;
a serious candidate FUD theorem;
a theorem showing the exact value of jurisdiction transfer under controlled assumptions;
a proof that the current FUD ambition is too strong;
reusable Lean formalization of stabilized components;
a stronger authority-neutrality theorem emerging naturally from the concrete model.

A negative result that tells us exactly why FUD is ill-posed is a success.

20. Stop conditions

Stop and surface a maintainer decision if:

the comparator cannot isolate jurisdiction from information;
advised-principal competence is equivalent to the FUD conclusion;
the only way to make D competitive is lossless transmission of future (A)'s internal state;
jurisdiction transfer cannot be represented without changing the object-level decision problem;
the future-self semantics require evaluative drift rather than epistemic updating;
the only positive theorem depends materially on underwriting;
the protected architecture itself makes FU unavailable in a way the value theorem cannot abstract away;
agenda asymmetry dominates the comparison;
the required advice model contradicts the faithful-acceleration side;
multiple tracks require incompatible meanings of (H^+), (A_t), or (X).

Do not resolve any of these by quietly strengthening assumptions.

21. Stage III parent report

Produce a parent report answering at least:

Is FUD now well-posed?
What exactly is transferred at time (n)?
What information does each arm receive?
What cognition does each arm receive?
What evaluative target is fixed?
Is future (A) epistemically improved only, or also evaluatively changed?
What does (H^+) receive from future (A)?
What competence assumption applies to the advised principal?
What is the near-indifference leakage?
What is the jurisdiction-transfer value quantity?
Does self-assessed uncertainty matter?
Is quote-responsive gating still a blocker?
Is underwriting load-bearing anywhere?
Is refusal separate?
Is agenda-setting controlled or merely scoped out?
What exact assumptions stand between the model and a FUD theorem?
Is there a serious theorem ready to dispatch?
If yes, state it.
If no, identify the single controlling obstruction.

Include a section:

Does FUD survive Stage III?

Use the strongest honest verdict, e.g.:

ready for proof;
ready conditional on one named lemma;
coherent but materially conditional;
only a weaker theorem survives;
not well-posed;
false under the intended assumptions.

22. Paper-architecture implications

Assess whether Stage III supports this conceptual arc:

[ H \xrightarrow{\text{faithful acceleration}} A \xrightarrow{\text{future advice}} H^+ ]

while:

[ \boxed{ \text{cognitive contribution does not entail jurisdiction entitlement}. } ]

Then FUD asks whether:

[ \boxed{ \text{anticipated future epistemic superiority} \not\Rightarrow \text{large positive value of transferring jurisdiction}. } ]

Do not market the theorem as solving all alignment.

Explicitly fence:

agenda power;
refusal;
strategic interface escape;
legitimacy;
human-value correctness;
arbitrary value drift.

23. Verification and shipping

Before closure:

run full house suite;
run normal Lean build;
run axiom audit;
run sorry gate;
run all new finite harnesses;
check all promoted modules are built through the structural glob;
verify reports/provenance;
ensure working tree clean.

Record exact counts.

24. PR endpoint — recommended and authorized

Unlike the previous Stage II closure prompt, this phase should normally terminate in a research-state pull request.

If Stage III reaches a coherent endpoint with:

reports persisted;
canonical documents reconciled;
applicable verification green;
no known unresolved internal inconsistency requiring rerun;
a clear statement of whether FUD is ready, blocked, weakened, or false;

then:

commit the completed Stage III state;
push the branch;
open a pull request for maintainer review.

The PR is not a claim that FUD has been proved.

It is a research-state integration PR.

The PR description must distinguish:

workspace-established results;
negative/impossibility results;
specifications/interfaces;
architectural assumptions;
explicit competence assumptions;
open theorem obligations;
unregistered results;
any research result that remains report-level rather than Lean-established.

Do not merge the PR.

Do not register contested claims merely to make the PR look complete.

If a stop condition fires, a PR is still appropriate if the resulting branch is internally coherent and records the obstruction cleanly.

A clean negative Stage III is mergeable research progress.

25. Final maintainer memo

End with a concise memo:

What did Stage III discover?
Is the FUD comparator now fair?
What is the exact jurisdiction object?
What is the exact information/advice symmetry?
What competence assumption remains?
Is that assumption non-circular?
What leakage remains?
What does LI actually contribute?
What remains architectural?
Is underwriting absent from the main engine?
Is FUD ready for a proof round?
What theorem should be attacked next?
What result would falsify the positive program?
What should the eventual paper claim at this point?
PR URL and review surfaces.

The governing intuition for this phase is:

[ \boxed{ \text{A future AI may possess more cognition without thereby possessing a stronger claim to jurisdiction.} } ]

But Stage III must earn the right to state that mathematically.

The comparison should not reward future (A) merely because it was given better information, more time, a larger menu, or a different evaluative target.

The intended experiment is:

[ \boxed{ \text{hold future cognition fixed; change who has final jurisdiction; measure the difference}. } ]

If that experiment cannot be formalized without circularity or hidden asymmetry, say so.

If it can, then Stage III should leave us with the first genuinely serious Fully Updated Deference theorem candidate.

Prompt-author-model: GPT-5.6 Sol (OpenAI)

Report prompts/2026-08-11-stage-iii-fud/REPORT.md

Stage III parent report — the FUD comparator, and why this one is not it

Maintainer: A. M. Berns Prompt-author-model: GPT-5.6 Sol (OpenAI) Executor-model: Claude Opus 5 (Anthropic) Date: 2026-08-11 Branch: round/2026-08-11-deference-corrigibility, from 50cc2bc Review status: ci-only

Stage III asked whether fully updated deference can be stated as a fair, non-circular comparison in which future cognition is held fixed and the changed variable is jurisdiction.

The round built a comparator, claimed it was fair, and was wrong. An independent adversarial review (Track F) established that the constructed FU arm contains no future agent at all, and the round accepted the finding. This report states the defect, what survives it, and what a successor must supply. A stop condition fired and is recorded rather than worked around.

0. Verification baseline

check	before	after
`lake build`	1843 jobs	1844 jobs, exit 0
axiom audit	142 results / 10 files	159 results / 11 files, all within the allowance
library theorems	155	170
`tests/run.py`	green	green
sorry gate	clean	clean over 11 files
`verify_fud_comparator.py`	—	exit 0, 28 checks

The new module is reached by the default target without an import edit — the first confirmation of the Stage II build repair on new content.

1. The defect

The round defined the transferred arm's selection as

φ(C) = argmax_π E_{P_n}[ X_{n,π} | C ]

— the argmax of the evaluating agent's own objective under the evaluating agent's own credence, over the later partition. A_n knows P_n, X and 𝓕_{g(n)}. So A_n can compute φ at time n, and the FU arm confers no cognition A_n lacks. No object representing A_{g(n)} distinct from A_n-conditioned occurs anywhere in the model.

What the round actually compared is the principal's contingent plan against the optimal later-measurable plan: the envelope. Stage II priced that envelope and said in terms that it upper-bounds every FU[g] and is not one. Skeleton v2 §4 declared FU[g] a hole and warned that careless invention is how it collapses. The round invented carelessly in exactly the way it had been warned against, and neither of Stage II's two named prerequisites — time-indexed A_t semantics, and a jurisdiction-transfer object — was delivered.

Three consequences.

The dominance result is trivial and was mislabelled. envelope_dominates carries one hypothesis — that φ is a per-cell maximiser — and no fairness condition whatever. It is ∑ maxima ≥ ∑ anything. Its original docstring said "under the fairness conditions", describing a statement that did not exist. The fairness conditions are a shared-argument convention, not hypotheses.

Its driver is infallibility, not "epistemic improvement only". An agent that conditions the evaluator's own credence on the evaluator's own objective computes the true conditional maximum by construction: it cannot be better-informed and wrong. The harness now carries a witness — same partition, same menu, same objective, same evaluator, a better-informed but fallible future agent — in which the gap is strictly negative. The sign of the comparison is therefore fixed by a modelling choice, not by anything about authority. The original label F6 ("no evaluative drift") understated this badly.

The "no jurisdictional term" reading was guaranteed by construction. The specification waived ⊥ and deferred all capability structure, deleting skeleton v2's execution layer — which Stage II recorded as the place all of protection's valuation content sits — and then observed that no jurisdictional term appeared in the resulting arithmetic. That is a property of the datatype, verifiable by inspection, and it is not evidence about jurisdiction. The regret identity itself is distributivity of subtraction over a finite sum.

2. What survives

Kernel-checked, and true at their real strength. Fifteen theorems in EnvelopeDominance.lean, renamed from JurisdictionTransfer to match what they prove: the envelope dominates any cell-measurable selection; the gap decomposes into per-cell regrets; agreement implies a zero gap; per-cell and aggregate gated-calibration bounds with an inhabitation witness. These are reusable by any successor that supplies a real future agent. What was wrong was the reading, not the mathematics.

The fairness apparatus and its confound witnesses, which are the round's most portable output. Each witness now moves exactly one variable:

Information. The principal's grades are the same state-level function in both models; only its information partition is coarsened. The gap moves from 0 to 1, the carriers' maximum. A comparison that does not equalise the information time reports the value of information as a case for transferring authority.
Agenda. With genuinely per-arm menus, widening only the transferred arm's menu moves the gap from 0 to 1.
Fallibility and drift. Two distinct failures of the future-agent model, both flipping the sign.

The reduction, which stands independently of the defect. The gap is the delegation deficit against the later-measurable comparator class, so Track I's credence collapse applies to the same object rather than by analogy: the supremum over credences is the maximum pointwise regret, attained at a point mass — verified at coarse cells as well as singletons. Any credence-free hypothesis bounding it is it. This holds for the envelope comparison and would hold a fortiori for a genuine FU[g], since the envelope upper-bounds it.

Two corrections to the round's own inputs. The competence slot was misclassified as Stage II's PC-5; it compares grades to a conditional expectation, so the credence occurs in it, making it a joint competence–credence hypothesis under skeleton v2 §2a. This is the same error the competence track caught for grade trust, repeated. And the claim that all seven fairness conditions were machine-verified was false: three are checked, three are construction conventions, and F7 is unrepresentable because μ is not a variable of the model.

3. Does FUD survive Stage III?

Not well-posed as constructed. The strongest honest verdict from the dispatch's list.

The round did not produce a FUD comparator; it produced an envelope comparison and mistook it for one. The philosophical target — that the value of future cognition is not the value of future jurisdiction — was not tested, because the model contains neither a future agent whose cognition could be varied nor a jurisdiction assignment whose value could be priced.

This is not a null round. The defect is precisely located, the two missing objects are the same two Stage II already named, and the successor requirements are stated in §4. A comparator that deletes the execution layer cannot answer a question about jurisdiction, and knowing why is worth more than the positive reading the round briefly had.

No claim is made that FUD is false, or that jurisdiction has low value. Both were outside what this model could see.

4. What a successor must supply

A future agent with independent existence — its own credence P_{g(n)}, or its own estimate X̂ of the value quantity — so that better-informed and correct come apart. Without this the comparison's sign is a definitional artifact.
Skeleton v2's execution layer, reinstated: κ_n, ρ_n, ι_n, E_n, ⊥, and a **declared X_{n,⊥}**. This is the carrier in which a jurisdiction assignment is something a valuation can price rather than a label on a selection.
**A jurisdiction mode μ as an actual variable**, which then makes F7 statable.
A competence hypothesis that is credence-free, or declared as joint.
**A decision on F2.** It is an advice-losslessness assumption, and it trades directly against the comparison's non-triviality: the more completely the principal's information equals the AI's and it acts on it, the closer the arms come to identical.

Only after 1 and 2 does the round's question become falsifiable. The positive program is confirmed only if, under a fallible future agent and a live protection structure, the gap is still signed for reasons that are not the definition of φ.

5. The nineteen questions

Is FUD well-posed? No, not as constructed. §3.
**What is transferred at n?** In this model, nothing — μ is described in the spec and never carried.
What information does each arm receive? The same, by F2, which is an assumption of lossless advice at the level of measurability.
What cognition? The same — and that is the defect: the transferred arm's cognition is the evaluator's own, available at t(n).
What evaluative target is fixed? X, scored by A_n, in both arms.
**Is future A epistemically improved only?** No — it is modelled as infallible, and §1 shows this is what drives the result.
**What does H⁺ receive?** Advice, modelled only by the measurability it confers. Message alphabets and lossiness are not modelled.
Competence assumption on the advised principal? Margin-gated cell calibration — a joint competence–credence hypothesis, not PC-5.
The near-indifference leakage? 2B times the ungated mass, unbounded, and the harness reports that only 9,476 of 164,868 satisfying instances have a bound informative enough to beat the free 2B.
The jurisdiction-transfer value quantity? There is none in this model. The quantity computed is the envelope gap.
Does self-assessed uncertainty matter? Not for this comparison; the slot stayed empty.
Is quote-responsive gating still a blocker? Not here. Open for the certificate line.
Is underwriting load-bearing? No — it appears nowhere. This survives the defect and is a genuine negative.
Is refusal separate? Yes, and trivially so, because ⊥ was waived — which is itself part of the defect.
Is agenda controlled or scoped out? Scoped out by hypothesis, with a corrected witness.
What stands between the model and a FUD theorem? The two objects of §4.1–4.2, which are Stage II's prerequisites 1 and 2, still undelivered.
Is there a serious theorem ready to dispatch? No.
If yes, state it. N/A.
The single controlling obstruction. A future agent that can be better-informed and still wrong. Everything else in §4 is downstream of it.

6. Assumption audit

assumption	class	status
`φ` is the true conditional maximiser	definitional	the defect. Presented as `F6`; it is infallibility, and it alone produces the dominance result
`F2` same information	information symmetry	assumed, and an advice-losslessness assumption in disguise
`F4` agenda symmetry	agenda control	assumed, with corrected witness
`F1`, `F3`, `F5`	definitional	construction conventions, not checked
`F7` no future leak	timing	unrepresentable — `μ` is not a variable
margin-gated cell calibration	joint competence–credence	assumed; misclassified in the first draft
near-indifference leakage control	competence	absent; bound informative in 5.7% of satisfying instances
protected jurisdiction, `⊥`, `κ_n`	architectural	deleted from the model, not assumed
underwriting	settlement	absent from the engine

7. What was not established

No FUD comparator, and no FUD theorem.
Nothing about the value of jurisdiction, in either direction.
The dominance result establishes nothing about authority — it is ∑ max ≥ ∑ any.
The regret identity is a tautology and no weight rests on its missing terms.
The rubber-stamp biconditional is false. Only one direction holds; the counterexample is carried in the harness.
The collapse was verified on small domains, not proved over the skeleton.
The gated bound has no sharpness witness on its informative set.
One decision index; foreclosure remains inexpressible.
Nothing is registered, and nothing is maintainer-reviewed.

8. Deviations

Tracks A–E were run as one design pass, not as separate agents. They are coupled through a single object and splitting them risked the incompatible-objects stop condition. Track F was run independently, as required. In hindsight the coupling is also how the defect survived to Track F: no first-wave track was positioned to ask whether the FU arm contained a future agent.
Track G was not run, per the dispatch's instruction not to force it.
A stop condition fired — "jurisdiction transfer cannot be represented without changing the object-level decision problem", and arguably "the comparator cannot isolate jurisdiction from information". Recorded, not resolved by strengthening assumptions.
The round's own first-draft conclusions were withdrawn after Track F. The withdrawn readings are listed in §1 and in REPORT-track-F.md; the earlier framing is not preserved elsewhere, because it was wrong rather than superseded.
The Lean module was renamed from JurisdictionTransfer to EnvelopeDominance to match what it proves.
Two root reports were deleted at the maintainer's instruction during this round — an unrelated request, recorded in DECISIONS.md with its pointer repairs.

9. Provisional names

envelopeGap, cellValue, cellMass, IsCellMaximiser, envelope_dominates, envelopeGap_eq_regret, agreement_gap_zero, gap_le_of_gated_calibration, D, FU, μ, advice interface, fairness conditions F1–F7, (AGENDA). None proposed for permanence.

10. Executor attribution

Executed by Claude Opus 5 (Anthropic), model id claude-opus-5, 2026-08-11. Prompt author: GPT-5.6 Sol (OpenAI). Track F executed by a separate Claude Opus 5 context with no access to this report. Review status: ci-only.

Human register

The question was the one the whole project turns on. A future AI will know more than the person it answers to. So why shouldn't it arrange, now, to be the one deciding later? To ask that honestly you build two futures identical in every way except who signs off, and measure the difference. If handing over control is barely better, corrigibility has a rational basis and not only a moral one.

We built that comparison, checked it carefully, got a clean answer — and then an independent reviewer, working from the artifacts alone with no idea what we hoped to find, showed the comparison was not the one we thought we had built.

The error is worth stating plainly because it is instructive. We wrote the future AI's decision as "whatever maximises expected value, given what will be known then." That sounds like a description of a smarter future agent. It is not. It is a formula the present AI can already evaluate, because it uses only the present AI's own beliefs and its own goals. So our "future agent" was not an agent at all — it was the present agent's own best contingent plan, written out. We had compared the person against a plan, and called it a comparison against a future mind. An earlier phase of this project had explicitly flagged that exact substitution as the trap to avoid, and we walked into it.

Once that is seen, the rest follows. Our headline result — that handing over control is never worse — turned out to be the statement that a maximum is at least as large as anything else, which is true and says nothing about authority. And the property we were most pleased with, that no term corresponding to "and also the AI would be in charge" appeared anywhere in the arithmetic, was guaranteed in advance: we had built a model with no representation of being in charge in it. Finding nothing there is not a discovery.

What is genuinely useful survives. We have machinery for catching the three ways this comparison can be rigged — give the AI better information, give it more options, or let it want different things — and each is now a worked example that moves exactly one variable. We know the comparison reduces to a question already on the books rather than opening a new one. And we know precisely what a real version needs: a future AI that can be better-informed and still wrong, and an actual representation of who has to authorise an action. We built a witness for the first of those, and it is sobering — as soon as the future AI can be wrong, handing it control can be strictly worse, and the sign of the whole comparison stops being determined by anything except how we chose to define it.

So Stage III did not answer its question. It established that the question had not yet been asked properly, located the two missing pieces exactly, and left the machinery for asking it again. That is a real result, and a much better outcome than shipping the confident version we had four hours ago.

Outstanding maintainer actions

Read §1 and decide whether the round's negative verdict is accepted. Everything downstream depends on it.
Do not dispatch a FUD proof round. The comparator does not yet exist. §4 lists what a successor needs, and items 1 and 2 there are Stage II's prerequisites 1 and 2.
**Rule on whether FUD_COMPARATOR_SPEC.md v1 is kept, corrected, as a defective record — its current state — or withdrawn.** It is currently marked as not a binding input.
Note the repeated classification error. The competence slot was misclassified in the same way grade trust was in the previous phase. A mechanical check — does the hypothesis mention the credence? — would have caught both, and filing it as a standing lint is a cheap maintainer act.
Consider whether first-wave tracks should carry an explicit "does this object exist independently?" obligation. The defect survived because no track owned that question.
Review the research-state PR. Opened per the dispatch's §24, which explicitly contemplates a PR when a stop condition fires and the branch records the obstruction cleanly. Not merged.

Claims it registered

None.

Items it filed or answered

None recorded in the index.

Nodes pointing at it

deference-and-trust