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dV/dt\mathrm{d}V/\mathrm{d}t

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The gap narrows exactly when verification coverage grows faster than capability does. Axis A determines whether d\mathrm{d}V/d\mathrm{d}t can be large at all — whether there is a technique to scale in the first place. Axis B determines how much of any technical gain is actually applied across the field rather than sitting inside one lab’s internal practice, acting as a multiplier on the effective, field-wide growth rate of V . A technique that works in one laboratory’s hands but is never externally audited or adopted elsewhere raises V for that laboratory alone; the field-wide V(t) this equation needs barely moves. That is why the gap is downstream of both axes rather than a genuinely…

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dV/dt\mathrm{d}V/\mathrm{d}t

Equation 4 · AI Safety

AI Alignment and Safety in 2035: Two Axes, Four Scenarios, and What Would Falsify Them

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

The gap narrows exactly when verification coverage grows faster than capability does. Axis A determines whether d\mathrm{d}V/d\mathrm{d}t can be large at all — whether there is a technique to scale in the first place. Axis B determines how much of any technical gain is actually applied across the field rather than sitting inside one lab’s internal practice, acting as a multiplier on the effective, field-wide growth rate of V . A technique that works in one laboratory’s hands but is never externally audited or adopted elsewhere raises V for that laboratory alone; the field-wide V(t) this equation needs barely moves. That is why the gap is downstream of both axes rather than a genuinely…

Meanings in this article

  • VV: the field-wide growth rate of.
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