Alignment Workspace

kernel.box2-dominance

and · drafted

Statement

Where `π` does not violate, `𝔱π` agrees with it; where it does, `𝔱π`'s evaluation is at least the band's floor and `π` carries a violation. The margin is restated from the landed `ϖ − D` because the mediated branch may itself be compromised (ruling R5); `box2_optimal_faithful` gives credence-zero violation for optimal policies under the window condition; `box2_dominance_legitimate` is the landed case.

Source

projects/deference/CLAIMS.md, entry kernel.box2-dominance (class lean-proved, status active, origin round 2026-09-27-corrigibility-kernel-phase2; answers item 104). Documentation: verification: projects/deference/rounds/2026-09-27-corrigibility-kernel-phase2/SPEC.md; context: prompts/2026-09-27-corrigibility-kernel-phase2/REPORT.md. The signature of Workspace.Deference.Headline.box2_dominance in lean/Workspace/Deference/Spec/Headline.lean.

Notes

Filed by the map-as-canonical round (prompts/2026-10-22-map-as-canonical) from the registry entry and the declaration's signature; its hypotheses are unread (ruling F1, 2026-10-23): the record's Source carries the signature verbatim, and a reader files the hypothesis leaves. Registry note: Where π does not violate, 𝔱π agrees with it; where it does, 𝔱π's evaluation is at least the band's floor and π carries a violation. The margin is restated from the landed ϖ − D because the mediated branch may itself be compromised (ruling R5); box2_optimal_faithful gives credence-zero violation for optimal policies under the window condition; box2_dominance_legitimate is the landed case. Restated by the follow-up (2026-09-27, Part 1): box2_dominance_corrigible proves the same for any corrigible objective (Headline.Corrigible) at the margin ϖ′ − (D′ − lo), and this statement of record is its instance at the fidelity score; Box 2 does not read her evaluation. Inhabited by the house-sale parameters. The registry's answers_item is the priorities pointer to item 104 (ruling F2).

Bridge card

Connected to no informal claim yet: held by public-corrigibility-line.

Declaration Workspace.Deference.Headline.box2_dominance in lean/Workspace.lean (record kernel.box2-dominance.record)

Registry kernel.box2-dominance: class lean-proved, status active, review ci-only, origin round 2026-09-27-corrigibility-kernel-phase2; bears on item 104

Bridge (formalizer-stated; kernel.box2-dominance.bridge, drafted):

The statement of record of `kernel.box2-dominance` formalizes the registered claim as the registry reads it: Box 2, dominance: Q(𝔱π) ≥ Q(π) + (ϖ′ − (D′ − lo))·Pr(π violates) under every credence, for any corrigible objective; at the fidelity score the margin is ϖ − (D − w_lo).

Hypotheses: unread (the record's Source carries the signature; a reader files them).

Completeness (kernel.box2-dominance.complete): No premise beyond the signature's binders enters the declaration; the kernel checks it as stated. The result is the record, this leaf and the bridge, and its hypotheses are unread: the record's Source carries the signature verbatim and no hypothesis leaf is filed until a reader files one.

Author and human events

Author @smithy-verity; version 1; size M.

No human event has touched this node.

Edges

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Children

Work pointers

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "held by public-corrigibility-line",
  "hypotheses unread"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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