CMP.5:10 - Architectural Rationale
The method joins two constructions that are often separated: making an easier problem informative and making its result usable in the original problem. Keeping recovery beside the bound prevents an easier optimum from replacing the task that motivated it.
MMP.10 supplies the formulated feasible problem when it arises from modeling; MATH.20 supplies mathematical inequalities. CMP.5 contributes the algorithmic construction of a relaxed obtaining problem and its recovery operation. CMP.4 can consume the bound without requiring a recovered candidate from every branch. Approximate subject models and general surrogate selection retain their own correspondence and portfolio methods.