Claim FPRD-D24

Exact statement

For a finite controlled-Dyck presentation, balanced controller distance is the shortest length of a balanced word realizing a controller-state pair; raw arrival is the shortest prefix reaching a saved stack/controller coordinate; bounded semantic-class arrival is the minimum raw arrival inside one M24 future-signature class; and B_M is the maximum finite balanced distance whose source is start-reachable in the underlying controller DFA of the chosen presentation.

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/specs/m29-controlled-access-calculus.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

docs/specs/m29-controlled-access-calculus.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

Semantic-class arrival and its maximum are language invariants. Raw arrivals and B_M depend on the selected controller presentation and are not silently minimized over equivalent presentations.

Open work

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

Notes

Semantic-class arrival and its maximum are language invariants. Raw arrivals and B_M depend on the selected controller presentation and are not silently minimized over equivalent presentations.