Library / First Principles Framework (FPF) - Core Conceptual Specification
Jump to passage
In this reading

Link to current text

Published source confirmed at last check

Source changed 2026-10-03 07:42:37 UTC · snapshot created 2026-10-03 07:43:27 UTC · last check 2026-10-03 07:45:10 UTC

G.2:5.1 - Count one pack under a declared basis

Consider this illustrative control-stack pack, extending the System case above. These are stipulated source entries for a counting example, not a finding that a real corpus has adequate breadth.

Entry and distinct claim regionLineageDeclared family unit
e1: robust controller’s operating-envelope claimrobust controlmethod M-R
e2: that family’s distinct disturbance-rejection claimrobust controlmethod M-R
e3: learned controller’s adaptation claimlearning-based controlmethod M-L
e4: scenario generator’s counterexample-generation claimformal verificationgenerator G-S

For the question “which control-method families can be selected?”, policy P-method counts method families only and equates entries exactly when they name the same declared method-family unit. The classes are {e1,e2} and {e3}: count 2, below k=3. Additional cards for e1 or citations for M-R leave the count at 2.

For the different question “which method and scenario-generator families can support building and evaluating this control stack?”, policy P-combined includes the three declared units M-R, M-L and G-S. Its overlap rule merges repeated references to one unit; these three units are stipulated distinct and G-S is not also M-R or M-L. Count 3 meets k=3 for that receiving purpose. This is not a passing method-only judgement and cannot be substituted after P-method fails. If one generator also qualified as a counted method, the overlap rule would have to resolve it before the count.

Four claim regions remain four material entries. The example independently has three lineages, so its two-lineage and three-material-entry pluralism duties pass under the stated facts in both policies. With no counted-family basis, family coverage is unassessable even though that pluralism result remains available. A justified k=2 override for P-method changes its threshold result while leaving its count at 2 and those independent duties unchanged.

G.1 M2 and the G.3–G.5 consumers cite the chosen pack judgement with its purpose and policy; they do not reconstruct a more convenient count from the cards.