Library / First Principles Framework (FPF) - Core Conceptual Specification
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A.6.3.RT:7 - Conformance and counterexample replay

A.6.3.RT:7.1 - Ordinary and exact checks

  1. CC-RT-1 — Useful ordinary entry. A user can recover the source content, choose an available scheme, make a target suited to the next action, and compare it with the source before supplying exact endpoint identities. Givens, unknowns and a partial construction can support this first result.
  2. CC-RT-2 — Same concern and right family. The target still concerns the same thing; representation scheme or reasoning medium is the primary change rather than wording, narrative, explanation, carrier work, retargeting, bridge use, or controlled coarsening.
  3. CC-RT-3 — Delta and source comparison. Preserved and foregrounded content, rearrangement, loss, recoverability, and apparent links not licensed by the source are visible.
  4. CC-RT-4 — Use and return. Admissible and non-admissible use plus a practical source-return trigger are clear.
  5. CC-RT-5 — Progressive burden. Detailed factors, semiotic mode, decode evidence, exact identities, Work, publication, evidence, and assurance appear only when each changes use or blocks a likely error.
  6. CC-RT-6 — Exact endpoints when triggered. X and Y are independently constituted C.2.1 epistemes with the same exact EntityOfConcern and recoverable effective schemes; forms, carriers, models, displays, and readable output substitute for neither.
  7. CC-RT-7 — Exact construction. v : X -> Y states claim construction, endpoint-scheme relation, same exact EntityOfConcern, preservation, loss/recovery, prohibited strengthening, applicability, use, and return.
  8. CC-RT-8 — Exact dependencies and neighbors. Correspondence dependencies obtain independently; C.29 representation, E.17.0 View membership, grounding, publication, evidence, assurance, bridge, gate, and receiving Work remain separate.
  9. CC-RT-9 — Later-specific occurrence only at its trigger. A positive RepresentationSchemeTransitionRelation@Context has the exact A.1.1 model-use structure, preserved concern, X, Y, two exact scheme-description epistemes, and actual Work satisfying §4.1.b.
  10. CC-RT-10 — Occurrence, Work, and description stay distinct. The participant tuple identifies the occurrence; Work and production claims remain separate; the transition-description episteme has the occurrence as EntityOfConcern and its own C.2.1 identity.
  11. CC-RT-11 — Occurrence identity. Only a changed participant reidentifies the occurrence; repeat Work, evidence, publication, layout, carrier, description edition, or C.29 output does not.
  12. CC-RT-12 — Reuse is local. When the source or target, delta, dependency, loss, use, evidence, or return changes, reopen only the affected part of the account.
  13. CC-RT-13 — Construction and subject result. The expression uses identified rules and supports the named operation. A trial is required only when it can decide usefulness. A new subject conclusion keeps its construction or argument as its source; notation-scheme design and the subject Method remain distinct from making the expression.

A.6.3.RT:7.2 - Counterexample replay

CaseRequired result
Ordinary entryA service note can become a useful comparison table and loss note without first inventing X, Y, v, Work, publication, or assurance records.
Constructive useGivens and an intermediate geometric construction can become a diagram used in an argument. RT compares the diagram with those inputs; geometry establishes any new conclusion.
Scheme limitIf the selected conventions cannot express a required distinction, choose another scheme or design the missing rules before claiming a usable expression under them.
Preserve vs retargetExact RT requires equal EntityOfConcern; a changed concern requires A.6.4 even when labels overlap.
Same schemeIf scheme and reasoning medium are unchanged and only wording changes, use A.6.3.CR.
Different schemeScheme difference alone establishes neither v, correspondence, Work, Bridge, nor the six-participant occurrence.
Candidate vs U.ViewA valid receiving episteme and RT construction may fail E.17.0 conformance and remain a non-View candidate.
Publication/form/carrierAvailability, form change, or carrier replacement substitutes for no endpoint and reidentifies no unchanged construction or occurrence.
Work without conservativityA system may produce Y, yet unsupported strengthening or hidden loss blocks the exact construction and occurrence.
Grounded source, ungrounded receiverGrounding of X does not transfer through v; Y has an EpistemeEmpiricalGroundingRelation only when its own covered claims and conditions make one obtain.
Readable decode without recovery basisKeep a fluent decoded output exploratory, report-only, or blocked until the same-concern source, a declared decoding or access relation, recoverability evidence for the intended use, admissible and non-admissible use, remaining user action, and return are present. Readability, probe score, feature geometry, or publication form fills no episteme endpoint.
Selected structure overreadThe exact BoundedModelUseStructure is one participant only in the triggered occurrence; it is not transformer, viewpoint, U.View, representation, publication, or EntityOfConcern.
Cross-scheme dependencyScheme difference, similar content, a description, or C.29 output cannot replace an exact transition. When the dependency crosses semantic contexts, none of those cues can replace the obtaining F.9 Bridge and separate bounded-use claim.
Description or C.29 outputEditing the transition description or mathematical output does not change the occurrence unless an exact participant changes.