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Definition

FPRD-D15

Claim FPRD-D15

Exact statement

A generalized Dyck-control recognition presentation consists of a finite alphabet of matching brackets and neutral symbols, a finite complete DFA on that alphabet, the finite state-pair equation system recognizing well-nested DFA runs, a distinguished union over final states, and a total letter-to-letter map whose decoded observation returns every suffix remaining after an encoded trace prefix.

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/m18-universal-dyck-control.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

docs/specs/m18-universal-dyck-control.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 definition fixes the recursive geometry, finite controller, and exact readout interface. M18 proves product adequacy, guarded uniqueness, bounded naturality, and the universal context-free family theorem.

Open work

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

Notes

The definition fixes the recursive geometry, finite controller, and exact readout interface. M18 proves product adequacy, guarded uniqueness, bounded naturality, and the universal context-free family theorem.