| F(τ) ≔ Pr(i ≥ τ), τ ∈ ℝ+ | Distribution of instruction-environment quality across an institution’s episodes: the share of episodes whose quality is at least τ; non-increasing in τ (§6). |
| F′ | Distribution after an upward shift; first-order stochastic dominance, F′ (τ) ≥ F(τ) for all τ ∈ ℝ+; the considered shift of §6, not a standing assumption (§6). |
| cmax | The most a user will spend in an episode; the user is admissible when cmin (i)≤ cmax (§6). |
| S > 0 | Execution scale: more compute, more parallel attempts, longer runs (§7.1). |
| R(S) | The outcome at execution scale S; the gate conditions of §5 are read on R(S) (§7.1); production set out in Appendix B.1. |