wirehead-iff-finite

and · drafted

Statement

For a nonnegative prior, the report-layer defect is nonpositive on every nonnegative weight supported in a set if and only if the report overstates the target at every positive-mass world of that set.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/legit-finite-defect/legit-finite-defect-report.md, load-bearing headline 1, defect_nonpos_on_iff; the note's report layer, projects/deference/note-dump-2026-08-11/notes/legitimacy-theory-v1.md, section 2.4 (relation to the wirehead results).

Notes

Formal result in leaf form; the finite base of the maintainer's expected anti-wireheading results (oq-anti-wireheading). It corrects the headline sentence of the deference-trust lab's legitimacy-corrigibility model (projects/deference/note-dump-2026-08-11/deference-trust-lab/models/legitimacy-corrigibility-model.md).

Filed as a formal result (record, setting, bridge, completeness) in place of the one-sentence step the branch filed: what the kernel settled is the record, and what a human still checks is the bridge, whether the declaration says what this sentence says. The step's estimate (smithy-verity-170) stays in the ledger as history. The declaration is not in a claims registry, so the record reads not in a claims registry until it is registered.

Bridge card

Connected to no informal claim yet: held by legitimacy.

Declaration defect_nonpos_on_iff (record wirehead-iff-finite.record)

Bridge (formalizer-stated; wirehead-iff-finite.bridge, drafted):

The declaration is the note's wirehead relation in its surviving form: the defect is nonpositive on every weight supported in S iff the report overstates at every positive-mass world of S.

Hypotheses, read:

wirehead-iff-finite.setting definitional: The finite legitimacy-defect model with nonnegative weights supported in a world set S, as the package fixes it.

Completeness (wirehead-iff-finite.complete): No premise beyond the proved declaration, its stated setting and its bridge is needed for the informal reading of wirehead iff finite to hold.

Author and human events

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

No human event has touched this node.

Edges

Above

held by legitimacy

Children

part: wirehead-iff-finite.record leaf/record
part: wirehead-iff-finite.setting leaf/hypothesis
part: wirehead-iff-finite.bridge leaf/bridge
part: wirehead-iff-finite.complete leaf/completeness

Ranking (the lens, not the structure)

{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "AI number",
  "held by legitimacy",
  "stale"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": {
  "J": 0,
  "mid": "19/20",
  "range": [
   "9/20",
   "1/1"
  ],
  "width": "1/1"
 },
 "draft": "ai"
}

Say something about it

Each verb opens a prefilled issue; a round files what lands as the ledger event it is.

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