Equation 3 · Part 4 · AI Alignment and Safety in 2035: Two Axes, Four Scenarios, and What Would Falsify Them
Symbol V
What this part means
the field-wide growth rate of.
Its job in the formula
V occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Symbol V→Article meaning
Where the article explains it
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 .
The passage around this formula
…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 . The gap narrows exactly when verification coverage grows faster than capability does.…
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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Sources cited in the surrounding passage
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