← Mathematical compendium

Published equation contexts

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]

Why this formula appears here

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…

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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]

Equation 4 · AI Research

Mechanistic Interpretability in 2035: Scenarios and Falsifiers

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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…

Equation guide → · Article →