E.2:7.1 - Usable response and ordinary non-use
These constructed cases distinguish the rule; they are not empirical findings about real methods.
- Bounded arithmetic: summing one known finite list with a fixed procedure makes no scale or generality claim. Use the correct arithmetic and task budget; no scale audit, heuristic-debt entry or adaptation waiver follows from the availability of a general learner.
- Positive safety procedure: a product’s applicable isolation-and-verification procedure remains required for the named maintenance action. Its task/control basis warrants its positive steps. BLP neither replaces it with prohibitions nor demands a waiver merely for its form.
- Response versus slope: for budget b in [1,10], A(b)=10+2b ranges from 12 to 30, while B(b)=90+0.1b ranges from 90.1 to 91. With the receiving quality floor 80, A fails everywhere despite its larger slope. B satisfies that floor; any broader preference still respects the other declared objectives, uncertainty and admissibility conditions. The floor is this use’s condition, not a BLP constant.
- Non-dominance: at the same declared task, one admissible option has quality 95 and cost 10; another has quality 85 and cost 2. With quality maximized and cost minimized, neither dominates. BLP returns no scale-based preference. A declared generality policy may choose only within the options left lawful by higher rules and must identify that policy basis.