Extend the Blind-Spot Gate to coherent higher-order errors

Extend the Blind-Spot Gate beyond its second-order formulation to certify modules that make many coherent errors simultaneously, for which higher-order interactions among wrong beliefs may materially affect deployment value.

Background

The paper introduces the Blind-Spot Gate as a second-order deployment certificate: it accounts for single-belief costs, pairwise interactions, and measured dependence, while omitting interactions involving three or more beliefs. The authors note that this approximation can be inadequate when a module produces many coherent errors at once, as in the task-assignment example involving blocks of similar workers.

The unresolved problem is to develop a certification method that incorporates such higher-order, coherent error structures. The paper states that direct measurement can be used when the second-order gate is insufficient, but extending the gate itself remains future work.