A.3.3.CC:10 - Architectural Rationale

Constraint-based construction connects the subject’s arrangement to the mathematical and computational operations used on it. Separating value ranges from compatibility explains why independently valid coordinates can form an inadmissible combination. It also lets the same construction work with continuous positions, finite stocks and ordered data.

The result can be useful before a transition law exists. Keeping that stopping point allows division of work: one participant constructs the configuration description, another supplies interaction or operation rules, and another computes a receiving result. Their contributions remain connected through interpretable participant values and conditions.

Implicit descriptions, parametrizations and finite enumeration expose different operations. Treating one as universally preferable would make the Method fail on either constrained geometry or a small discrete problem. The representation can be refined at the scale its use needs. C.29.1 handles the more general transfer between accounts; here the construction specifically obtains compatible arrangements.