value-change-is-belief-change
leaf/step · drafted
Statement
A change of an agent's utility function can be written as a change of belief about a value variable on an expanded algebra, and the agent that results acts identically on the original propositions; the direction from the expanded algebra back to the original is marginalization and the converse is a choice of decomposition that is not unique.
Source
projects/deference/corrigibility-note-dump-2026-10-01/value-change-as-epistemic-update.md, section 2.1 (the transform, with Theorem 2.4) and the fixture projects/deference/corrigibility-note-dump-2026-10-01/fixtures/value_change_journey.py, run by the note dump's tests; the author's own statement of the idea in projects/deference/corrigibility-note-dump-2026-10-01/position-statement.md, section 2.2: "I am non-realist about the distinction: this is just a transformation in how we represent the agent."
Notes
The base layer of the corrigibility line: every later claim about corrections as information rests on this transform. The derivation is the filing session's (an AI's) at the author's request, with the fixture's numbers as witnesses; it is unvetted against the fixture, and no Lean statement for it is cited here. The Lean task is the plan root value-change-kernel-checked.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of value-change-base-layer
- root (shared-claim) of value-change-base-layer
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [
"AI number"
],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 2,
"weaker": "both"
},
"belief": {
"J": 0,
"mid": "7/8",
"range": [
"3/8",
"1/1"
],
"width": "1/1"
},
"draft": "ai",
"root": {
"status": "open",
"Pr": {
"hi": "1/1",
"lo": "3/8",
"mid": "7/8"
},
"value": null,
"cost": "85/1",
"margin": "no established leaves"
}
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.