Library / First Principles Framework (FPF) - Core Conceptual Specification
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Source changed 2026-10-03 10:39:28 UTC · snapshot created 2026-10-03 10:40:04 UTC · last check 2026-10-03 10:55:17 UTC

A.6.3.RT:4.1.b - Later-specific six-participant occurrence

Use RepresentationSchemeTransitionRelation@Context only when the actual transition occurrence is itself needed and all six exact participants plus actual Work are present. The suffix @Context retrieves one independently selected A.1.1 BoundedModelUseStructure : U.Structure; it introduces no generic context kind or description-context field.

RepresentationSchemeTransitionRelation@Context <: U.Relation:
  TransitionModelUseStructureSlot = <TransitionModelUseStructureSlot, U.Structure, U.StructureRef constrained to one exact BoundedModelUseStructure>
  PreservedEntityOfConcernSlot = <PreservedEntityOfConcernSlot, U.Entity, U.EntityRef>
  SourceRepresentationEpistemeSlot = <SourceRepresentationEpistemeSlot, U.Episteme, U.EpistemeRef>
  ReceivingRepresentationEpistemeSlot = <ReceivingRepresentationEpistemeSlot, U.Episteme, U.EpistemeRef>
  SourceRepresentationSchemeDescriptionSlot = <SourceRepresentationSchemeDescriptionSlot, U.Episteme, U.EpistemeRef>
  ReceivingRepresentationSchemeDescriptionSlot = <ReceivingRepresentationSchemeDescriptionSlot, U.Episteme, U.EpistemeRef>
  direction = SourceRepresentationEpistemeSlot -> ReceivingRepresentationEpistemeSlot

The six SlotSpecs and direction are the exact RelationSignature. X and Y have the same exact EntityOfConcern and their own effective schemes. Each scheme-description episteme is independently constituted: its claims describe one exact endpoint scheme, its EntityOfConcern is that scheme, and its own effective reference scheme makes the description interpretable. A scheme label or visible notation fills no scheme-description slot.

A positive occurrence obtains only when all of the following hold together:

  1. all six participants resolve exactly, and the BoundedModelUseStructure was independently selected because its model-use organization changes this transition use;
  2. A.13 identifies the actual performer, and A.15.1 independently admits the dated representation-transformation Work. If the current use also needs to say exactly which assignment covered that Work, F.6 checks that separate relation against the same A.13 assignment; F.6 identifies neither performer nor assignment, and a missing or failed attribution leaves the Work intact. The Work uses all six participant values collectively through its governed inputs, result, references, A.6.1 bindings, or a combination of these;
  3. exact v : X -> Y states claim construction, endpoint-scheme relation, same EntityOfConcern, preservation, loss or recoverability, prohibited strengthening, applicability, use, and return; and
  4. every depended-on correspondence is an exact separately governed relation or claim.

Work, performer, assignment, method, operation application, source-use relations, and any inception claim are not seventh participants or identity discriminators. Work alone proves neither v nor the occurrence. Conversely, an inspectable v without the selected model-use structure and exact Work remains an ordinary exact construction.

The occurrence is participant-determined by the complete six-participant tuple. Changing any participant identifies another occurrence. A repeat Work episode, evidence change, publication, form, carrier, layout, transition-description edition, or C.29 output does not reidentify an unchanged tuple. A changed C.2.1 discriminator of X or Y first identifies another episteme and therefore another tuple.