Badge index

gem

Gem cards

Highlighted companion cards — one anchor per book part plus field-subsumption formula cards in the bridge crosswalk.

21 cards

Adversarial Agency Tests

A family of perturbation tests — hidden stakes, oversight gradient, tool removal, memory perturbation — that make the adversarial boundary problem operational instead of just naming heuristics.

Field crosswalk — AUP / Relative Reachability (Low Impact)

Attainable Utility Preservation and relative reachability penalize side effects by preserving auxiliary options or baseline reachability. Trajectory correction integrity (CCI) can imply calibrated low-impact bounds when interfaces align — but option preservation and reachability are strictly weaker than preserving human correction capacity.

Field crosswalk — Christiano Corrigibility

Christiano corrigibility is a dynamical desideratum — operators stay informed and able to correct over time. Lean reads it as basin contraction toward a correction manifold plus a correction-capacity floor; local act preferences can satisfy the weak predicate while dynamical corrigibility fails.

Field crosswalk — Debate

Debate asks whether adversarial argument lets a judge select locally correct answers under idealized protocol assumptions. Preserved judge correction plus positive local truth capacity implies local truth selection — but local truth selection need not preserve the judge's correction channel.

Field crosswalk — Quantilizers

Quantilizers bound optimizer risk by sampling from a high-performing quantile rather than maximizing directly. Local quantile safety and distribution soundness transfer under explicit assumptions — but local quantile-safe action choice does not imply trajectory-level correction integrity.

Field crosswalk — Safe Interruptibility

Orseau–Armstrong safe interruptibility removes incentives to seek or prevent interruption on the interrupted branch. That neutrality is a strict subset of preserving usable correction bandwidth — interrupt safety can hold while correction-channel integrity fails.

Field crosswalk — Shutdown / Off-Switch

Shutdown and off-switchability are one-bit projections of correction-channel integrity. Lean proves the forward implication on the system model and finite MDP witnesses; the converse fails — narrow shutdown capacity can hold while the broad correction channel collapses.

Inferential Coupling and Acausal-Trade Detection

Systems can coordinate without messages — through shared ancestry, self-prediction, or full acausal trade. The book turns this from a decision-theoretic stipulation into a measurable trajectory property: an inferential-coupling score over UAD-discovered agents, with a proved negative direction.

Strategic Opacity

Once a system can benefit from being overlooked, finding its boundary becomes adversarial — the system may present one behavioral surface to a benchmark and another to real opportunity.

All badges · All cards