Definition. Context exposure count [ftip-00DJ]

For a retained-context policy \(\kappa \) and generated history \(h_t\), define its exposure count through budget \(T\) by

\[ E_T(\kappa )=\sum _{t=0}^{T-1}\left |\kappa _t(h_t)\right |. \]

This is a finite attention-input proxy. It is not a runtime identity: the implementation may have caching, batching, kernel, and communication costs that are not represented by \(E_T\).