Alignment Workspace

legit-li-self-correction-identity

leaf/step · drafted

Statement

For a single logical inductor the correction function toward its own future state is the identity and legitimacy-weighted Total Trust holds for every generable weighting, so a legitimacy event with content is anchored outside the inductor's own trust structure.

Source

projects/deference/faf-cleanroom-2026-10-02/sources/corrigibility/workflow-2026-09-14b/develop/legitimacy-general-final.md, Statement 10 and its summary item (5): the legitimacy-weighted Total Trust statement at the LI register with a generable weighting, checked against the logical induction paper's conditional expectation theorem. The paper theorem is the conditional-expectation theorem the note calls ccee, in Garrabrant et al., "Logical Induction" (arXiv:1609.03543).

Notes

Checked at the note's register (exact arithmetic over the paper's display), not in Lean; the port is task-port-legit-push-empty. It is the result the correction-function question was missing: toward the self the correction is forced to the identity, so the learnable part lives on the anchor. The miner filed the same content as the claim that legitimacy-conditioned reflection is empty toward a push; the two are one statement.

Author and human events

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

No human event has touched this node.

Edges

Above

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "AI number",
  "held by legitimacy"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": {
  "J": 0,
  "mid": "33/40",
  "range": [
   "13/40",
   "1/1"
  ],
  "width": "1/1"
 },
 "draft": "ai"
}

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