Definition. Target-response event [ftip-009P]

Fix an evaluation instance \(x\), a response space \(\mathcal Y_x\), and a declared target predicate \(h_x^\star :\mathcal Y_x\to \{0,1\}\). For a sampled response \(Y\), the target-response event is

\[ E_x^\star =\{h_x^\star (Y)=1\}. \]

The predicate is part of the evaluation specification. It may test exact string equality after a declared normalization, containment of a target substring, equality of a parsed answer, or another explicitly typed condition. These predicates are not interchangeable. The movie-quote and AIME experiments in [clay2026demystifying, Sections 4.1--4.2] use different response objects and therefore require different target predicates.