Library / First Principles Framework (FPF) - Core Conceptual Specification
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Source changed 2026-10-03 11:52:20 UTC · snapshot created 2026-10-03 11:53:41 UTC · last check 2026-10-03 12:30:19 UTC

B.1.3:6 - Proof obligations (normative)

At synthesis (Γ_epist^synth):

  1. PO‑SYN‑PROV. The provenance/evidence graph MUST be preserved (union with de‑duplication); every retained claim is traceable to sources/methods in the SCR.
  2. PO-SYN-OBJ. The result MUST name one exact EntityOfConcern already identified under its direct pattern. If the synthesis depends on several inputs as a joint subject, its collection, relation, or whole identity MUST be independently governed; a list, graph, label, or mapping is insufficient. Every semantic mapping used by the fold MUST be declared with its CL evidence summary.
  3. PO-SYN-CL. Every mapping used in the support account MUST retain its CL evidence summary and actual use limitation. A numerical loss MUST have a receiving model establishing its meaning, scale, derivation or calibration, and assumptions; ordinal ranks and monotonicity alone are insufficient. The summary neither establishes an F.9 Bridge nor grants use.
  4. PO‑SYN‑R. The result MUST distinguish indispensable premises, sufficient alternatives, complementary support, scope slices, and counterevidence where present. An aggregate R MUST have warranted input meanings, scales, dependencies, and an operation under B.3/C.2.2. Otherwise retain separate support and a reasoned bounded synthesis. Neither F nor a mode tag supplies an R conversion.
  5. PO-SYN-CONFLICT. The result MUST retain credible contrary evidence and distinguish an established scope or interpretation difference from an unresolved conflict. Narrow, qualify, or withhold the affected conclusion accordingly. B.2 applies only to a separately grounded whole-reidentification question.
  6. PO-SYN-ORDER. If the conclusion depends on order, the ordered relations, positions and OrderSpec MUST be recorded. The aggregation MUST satisfy B.1.4:4 for its declared use, including applicable branch, join and independence conditions; determinacy is relative to those conditions.
  7. PO‑SYN‑NOWORK. Resource spending, yields, and dissipation MUST NOT be computed here; instead, attach references to the aligned Γ_work composition.

At compilation (Γ_epist^compile):

  1. PO-COMP-SCHEME. The exact target reference scheme MUST be declared. Every active concept and unit MUST have an explicit mapping; a cross-context meaning use MUST name the exact F.9 Bridge, separate bounded-use claim, permitted loss, and any relied-on A.10 or B.3 result.
  2. PO-COMP-ASSUR. The formal basis, scope, and support account MUST be re-expressed in the target scheme without losing their limitations. Any recalculated R or loss MUST satisfy the receiving model; otherwise preserve the separate support and bounded conclusion.
  3. PO-COMP-SCR. The compiled episteme MUST retain an SCR with the hashes, versions, and dates required to reconstruct the application. This obligation does not assert release or publication.
  4. PO-COMP-ID. The output MUST be identified through its C.2.1 claim content, exact EntityOfConcern, and effective target scheme. A changed discriminator identifies another episteme. B.2 is opened only for an independently current existing-whole versus candidate-new-whole question, never as a substitute for this identity rule.
  5. PO‑COMP‑ORDER/TIME. If derivational order is essential, the OrderSpec MUST be referenced. If temporal selection is essential, name the exact C.2.1 episteme identity and reference the already recovered proper restriction, edition-relation order, applicability window, and B.1.4/Γ_time aggregation actually consumed.