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Equation 4 · Part 5 · Mechanistic Interpretability in 2035: Scenarios and Falsifiers

Symbol S

R(t)=1 ⁣[A(t)≥a∗]⋅1 ⁣[S(t)≥s∗]R(t) = \mathbb{1}\!\left[A(t) \ge a^{*}\right] \cdot \mathbb{1}\!\left[S(t) \ge s^{*}\right]
SS

What this part means

S is one factor in the product that computes the quantity on the left.

Its job in the formula

S is one factor in the product that computes the quantity on the left.

The passage around this formula

…Write A(t) for the share of a frontier model’s decision-relevant behaviour with a validated, causally checked account — Circuit Tracing’s own figures are the best public anchor for where A(t) sits today [ 2 ] — and S(t) for the share of published interpretability results built on a method that has cleared an agreed, cross-lab benchmark rather than a proxy metric of the kind SAEBench found unreliable [ 10 ] . A regulator or a court asked to accept mechanistic evidence needs both a guarantee about how much of…

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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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