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Equation 4 · Part 10 · Mechanistic Interpretability in 2035: Scenarios and Falsifiers

superscript

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]
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Whether interpretability evidence becomes admissible for a safety certification is not a third axis; it is what the other two jointly produce, and the joint requirement is a conjunction rather than an average. 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…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × 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.