Equation 2 · Part 1 · 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 is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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
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
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
These citations provide research context; check each source for the exact claim it supports.