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Equation 1 · AI Alignment and Safety in 2035: Two Axes, Four Scenarios, and What Would Falsify Them

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C(t)C(t)

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CC

Symbol C

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tt

Symbol t

t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Whether the documented gap between capability and verified safety narrows or widens is not a third axis; it is what the other two jointly produce. Write C(t) for a stylised index of frontier capability — METR’s time-horizon trend is the best-measured available proxy [ 16 ] — and V(t) for an index of independently checkable verification coverage: the share of a system’s decision-relevant behaviour that something other than watching its output can vouch for. The gap is

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