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stop-gradient-steering-residue

leaf/step · drafted

Statement

In a finite quote-verdict-corruption model, conditioning the objective on non-corrupt futures makes wireheading strictly worse than honesty by information deprivation, and a steering residue, manipulation that moves the verdict without corrupting it, survives the conditioning with computed flip boundaries.

Source

projects/deference/note-dump-2026-08-11/deference-trust-lab/run3/work/stop-gradient-steering/stop-gradient-steering.md (2026-07-01, "KERNEL-CHECKED (part A) + EXEC-COMPUTED, exact rationals (part B)"), section B.3 (the headline J_L(wirehead) = -1/4 < -3/16 = J_L(honest)) and section B.4 (the steering residue survives conditioning; flip boundaries); eighteen theorems in its StopGradientCore.lean; prior art named there (Perdomo et al. 2020, performative prediction). It turns the two prose claims of the author's li-deference notes, projects/deference/note-dump-2026-08-11/notes/li-deference.md, section 0.3, into checked facts.

Notes

The July 2026 finite result that already does, in a finite shadow, what the BLI frame's hardest task asks for: the causal restriction of reflection (the thread's option gamma). The lift to the inductor's market is the task beside it.

Author and human events

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

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