conditioning-manages-news
and · drafted
Statement
An agent that maximizes the evaluation conditional on legitimacy is invariant to thinning the probability of legitimacy given the action, strictly prefers voiding a state set exactly when the penalty is below the set's mass times the evaluation gap, and at its optimum voids every state below the maximum.
Source
The clean-room package projects/deference/faf-cleanroom-2026-10-02/packages/legit-neg-pricing, declaration P2_void_gt_keep_iff, with its findings file. The results are AI-generated and checked by the Lean kernel; no human has vetted the informal reading.
Notes
One of the legit-neg packages' formal results. The public kernel's own witness box3_conditioning_fails (see kernel-conditioning-fails-witness) is the same cell derived independently the following day.
Bridge card
Connected to no informal claim yet: held by no frame.
Declaration P2_void_gt_keep_iff (record conditioning-manages-news.record)
The declaration's iff is the cost of conditioning on legitimacy: the agent manages news about legitimacy rather than protecting it.
Hypotheses, read:
- conditioning-manages-news.setting definitional: A finite state space with a legitimacy event, an evaluation random variable, a voiding action with a penalty, and the conditional-expectation objective, as the package fixes them.
Completeness (conditioning-manages-news.complete): No premise beyond the proved declaration, its stated setting and its bridge is needed for the informal reading of conditioning manages news to hold.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of legitimacy-weighted-deference
- root (shared-claim) of legitimacy-weighted-deference
Children
- part: conditioning-manages-news.record leaf/record
- part: conditioning-manages-news.setting leaf/hypothesis
- part: conditioning-manages-news.bridge leaf/bridge
- part: conditioning-manages-news.complete leaf/completeness
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": null,
"draft": "ai",
"root": {
"status": "open",
"Pr": {
"hi": "1/1",
"lo": "1601501/100000000",
"mid": "109281627/200000000"
},
"value": null,
"cost": "132/1",
"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.