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Definition

FPRD-D27

Claim FPRD-D27

Exact statement

For every modulus m at least two, K_m is the one-bracket Dyck trace containing epsilon and the nonempty words whose terminal consecutive closer run has length m-1 modulo m; its state/access atlas records the nondominated controller-state and legal-entry-diameter pairs.

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/m32-terminal-descent-moduli.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

docs/specs/m32-terminal-descent-moduli.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 one family relative to the one-bracket Dyck envelope. It asserts no uniform formula across moduli.

Open work

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

Notes

The definition fixes one family relative to the one-bracket Dyck envelope. It asserts no uniform formula across moduli.