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 11:52:20 UTC · snapshot created 2026-10-03 11:53:41 UTC · last check 2026-10-03 12:35:06 UTC

C.2.2:4.4 - Relation-specific congruence penalties route to R only

A reused claim may traverse more than one independently governed relation. Before calculating R_eff, state what actually changed and use the rule for that change. A.2.6 owns claim-scope operations; C.3/C.3.3 owns kind relations; F.9 owns a semantic Bridge between exact local-sense cells; notation, reference-plane, model-use, and evidence-reuse relations keep their own definitions. None is a universal crossing relation.

Invariant INV-C2.2-1 (R-only penalty routing). For each traversed relation r whose rule declares a congruence loss:

F_out = F_in G_out = translate(r, G_in) only when r is an applicable A.2.6 scope translation; otherwise G_out = G_in R_out ≤ R_in on the named ordered warrant scale for a loss-only transformation, with any numerical penalty justified by that relation’s receiving model

A scope translation may narrow or re-express G; it never widens the claim silently. A change in formality is a new episteme or explicit ΔF move, not a transport penalty. A semantic Bridge changes neither kind nor scope by itself. A kind or plane relation supplies no semantic correspondence unless that separate relation also obtains. Evidence reuse changes warrant only through its own evidence-use or reliance claim.

There is no implicit crossing. If a reuse depends on a changed value and its required relation or operation is absent, unresolved, or outside its applicability, the reuse is non-conformant. This keeps guard macros simple: each path records the relations it actually traverses and routes their declared losses to R, while every other coordinate changes only under its own rule.