Alignment Workspace

kernel.extension-exploration-realization

and · drafted

Statement

The phase-2 round's theorem, registered now that a witness inhabits its full hypothesis package with exploration in it: `PostStatement.Witness.exploringInterface` — block 0 explores with priced risk 1/20 inside the permitted set (cap 1/10), exploration mass 1 through K = 1, every block's score realized exactly — with `exploringInterface_unbiased` (every γ ≥ 0 from day 0) and `exploring_inhabited`. The follow-up (prompts/2026-10-01-thin-legitimacy-and-effective-authority/FOLLOWUP.md, Part 6) replaced the earlier witness `explorationInterface`, which had no exploration.

Source

projects/deference/CLAIMS.md, entry kernel.extension-exploration-realization (class lean-proved, status active, origin round 2026-10-01-thin-legitimacy-and-effective-authority; answers item 107). Documentation: verification: projects/deference/rounds/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md; context: prompts/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md. The signature of Workspace.Deference.Contrib.KernelExtension.exploration_rate in lean/Workspace/Deference/Contrib/KernelExtension.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: The phase-2 round's theorem, registered now that a witness inhabits its full hypothesis package with exploration in it: PostStatement.Witness.exploringInterface — block 0 explores with priced risk 1/20 inside the permitted set (cap 1/10), exploration mass 1 through K = 1, every block's score realized exactly — with exploringInterface_unbiased (every γ ≥ 0 from day 0) and exploring_inhabited. The follow-up (prompts/2026-10-01-thin-legitimacy-and-effective-authority/FOLLOWUP.md, Part 6) replaced the earlier witness explorationInterface, which had no exploration. What it does not say: that unbiasedness from feedback holds for any realized learner — PAPER, by content. The registry's answers_item is the priorities pointer to item 107 (ruling F2).

Bridge card

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

Declaration Workspace.Deference.Contrib.KernelExtension.exploration_rate in lean/Workspace/Deference/Contrib/KernelExtension.lean (record kernel.extension-exploration-realization.record)

Registry kernel.extension-exploration-realization: class lean-proved, status active, review ci-only, origin round 2026-10-01-thin-legitimacy-and-effective-authority; bears on item 107

Bridge (formalizer-stated; kernel.extension-exploration-realization.bridge, drafted):

The statement of record of `kernel.extension-exploration-realization` formalizes the registered claim as the registry reads it: The exploration realization's rate: unbiasedness from feedback supplies B(K) = γ Σ w.

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

Completeness (kernel.extension-exploration-realization.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

Above

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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