Alignment Workspace

legit-composition

and · drafted

Statement

Global L-conditioned Total Trust composes along two steps conditional on the intersection of the two legitimacy events, and local trust composes under a mixture hypothesis that a counterexample shows to be needed.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/corr-legit-general/corr-legit-general-audit-r4-fidelity.md: compose_global and compose_local_of_mixture, with the counterexample for the local form.

Notes

Formal result in leaf form. Composition is what a legitimacy notion needs to say anything about a trajectory of pushes, the maintainer's "accumulated odds" framing under legit-dynamics-learning.

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-102) 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 compose_global (record legit-composition.record)

Bridge (formalizer-stated; legit-composition.bridge, drafted):

The declarations are the note's T6(a): global legitimizing total trust composes conditional on the intersection of the two legitimacy events, and the local form composes only under a mixture hypothesis, with the counterexample beside it.

Hypotheses, read:

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

Author and human events

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

No human event has touched this node.

Edges

Above

Children

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": "37/40",
  "range": [
   "17/40",
   "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.

comment · challenge · estimate · want