A.6.B:4 - Solution — the Boundary Norm Square
A.6.B:4.1 - Two independent distinctions
The Boundary Norm Square is the cross product of two independent distinctions:
- Modality family: Truth‑conditional vs Governance
- Adjudication position: In-description vs in-work
The square yields four quadrants that are mutually exclusive for atomic claims.
A.6.B:4.2 — The square
| Truth‑conditional (definitions & invariants) | Governance (governance conditions & obligations) | |
|---|---|---|
| In-description or in-theory | L — Laws & Definitions | D — Deontics & Commitments |
| In-work or in-execution | E — Work‑Effects & Evidence | A — Admissibility & Gates |
Clarification (classify the claim by its job, not by its subject pattern).
- Classify the exact atomic claim by what its sentence states and by the conditions that let a reader decide it.
- The exact ClaimGraph located through the subject pattern supplies the referenced object’s predicate and obtaining conditions; it does not choose the claim’s quadrant.
- When permission wording is present, use the single permission-word branch in §8.4.1. It separates the possible jobs of that wording without inventing a common “permission result” kind.
Normative rule (single quadrant). Each atomic claim MUST be classifiable under exactly one quadrant L/A/D/E.
Normative rule (no mixed sentences). A conforming boundary text SHALL decompose any sentence that bundles multiple quadrants (typical form: “MUST … if … then … and it is logged …”) into multiple atomic claims before those claims are treated as normative.
A.6.B:4.3 — Canonical placements in the Signature Stack
The quadrants have canonical placements in the boundary stack:
- L → Signature layer:
U.Signature.Laws(and mechanism‑local semantic laws if present). - A → Mechanism layer:
U.Mechanism.AdmissibilityConditions(entry gates / runtime admissibility predicates). - D → Deontics & Commitments layer: atomic claims about a generic prescription or about one separately obtaining individual duty, recommendation-as-duty, prohibition, or commitment. When permission wording is live, §8.4.1 decides whether its claim also belongs here.
- E → Work-Effects & Evidence layer: truth-conditional claims whose satisfaction requires actual work, evaluation, observation, or produced carriers.
A publication face MUST NOT introduce new semantic claims outside this L/A/D/E-classified claim set. E.17 (MVPK) enforces this rule for publication faces and their selected profiles.