Library / First Principles Framework (FPF) - Core Conceptual Specification
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A.1.RI:5.2 - Test associations together

Keep the one-second, independent, persistent-point and complete-detection premises. Initially A is at 0 cm and B at 1 cm; later R is at 2 cm and S at 3 cm. Each displacement is at most 2 cm.

The admissible pairs are A-R, B-R and B-S. B’s nearest detection is R. Assigning it first leaves A without a permitted observation. The joint association A-R with B-S satisfies every constraint and uses each later observation once. It is the only complete association under these premises.

The common Method contributes the joint comparison. The supplied motion bound and complete-detection rule determine which associations it tests. If missed or repeated detections become possible, revise those premises and reconstruct the affected alternatives.