uea-theorem-1

leaf/question · drafted

Statement

There is a reflective oracle relative to which, for every ε > 0, whenever the self-reflective agent π_S assigns posterior above 1 − δ to its own self-hypothesis at a history, its value at that history is within ε of the optimal value, so π_S stays ε-optimal for all time with high probability.

Source

projects/deference/faf-cleanroom-2026-10-02/sources/unbounded-embedded/01-primary/lesswrong-post--live-2026-08-22.md: "There is a reflective oracle relative to which, for every $\varepsilon > 0$,"

projects/deference/faf-cleanroom-2026-10-02/sources/unbounded-embedded/01-primary/summer-research-plan-2026--research-ideas-may-2026.md: "Cole's main result shows that, with his agent setup, if you are $1-\delta$-confident about your decision procedure, then your actions will be within $\varepsilon$ of optimal."

projects/deference/faf-cleanroom-2026-10-02/DIGEST.md.

Notes

Cole Wyeth's revised Theorem 1 as the live post states it, in the reflective-oracle Solomonoff (rOSI) setting. The post's proof route is blocked in the finite shadow (uea-post-usc-backwards) and the key lemma of the sketch fails there (uea-t1-key-lemma-refuted-finite); the conclusion is not refuted, and the rOSI statement is typed nowhere (DIGEST item 29). Filed as a question because no argument the repository accepts stands for it. Conditioned on the plain-agent bound, the finite result that best supports its conclusion.

Author and human events

Author @smithy-verity-opus55; version 1; size M.

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Edges

Above

part of level-super-turing
given of uea-plain-agent-bound
root (shared-claim) of level-super-turing
given uea-plain-agent-bound (as valid)

Ranking (the lens, not the structure)

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