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Definition

FPRD-D02

Claim FPRD-D02

Exact statement

Exact behavior maps preserve all remaining-suffix observations, whereas an observational abstraction preserves only a named interface such as inputs of length at most N, a test family, reachable inputs, or complete acceptance.

Statusdefinition
External reviewNo documented external or specialist review of this FPRD result is recorded.

Context

This row is imported exactly from the governed FPRD claims ledger. The matrix assignment records normalized inventory coverage; it is not a new proof or a promotion of the ledger status.

Proof or evidence

The ledger points to docs/design/foundation.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

docs/design/foundation.md →

Verification notes

Reviewed on 2026-08-25 for identifier, status, provenance, evidence-link presence, and dependency import only. Mathematical proof audit remains the next action unless separately documented.

Limitations

  • The full observation family separates points after semantic quotienting, so nontrivial finite quotients are necessarily interface-relative.

Open work

Add a self-contained definition page with examples, nonexamples, and dependency boundaries.

Notes

The full observation family separates points after semantic quotienting, so nontrivial finite quotients are necessarily interface-relative.