FPRD LabShare an approach

← Claims

Written-proof claim

FPRD-T02

Claim FPRD-T02

Exact statement

Equality of suffix-decreasing partial-function behaviors on all inputs of length at most N is a finite-index congruence for the deterministic PEG operations, and the ambient behavior algebra is the inverse limit of its bounded observational quotients.

Statusinformal proof
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/m1-semantic-algebra.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

docs/specs/m1-semantic-algebra.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 proof gives finite index, surjective bounded restriction, congruence, coherent reconstruction, and the ambient algebra isomorphism. It explicitly does not characterize the closure of the PEG-generated image.

Open work

Audit the proof against its dependencies and publish a self-contained evidence summary before increasing maturity.

Notes

The proof gives finite index, surjective bounded restriction, congruence, coherent reconstruction, and the ambient algebra isomorphism. It explicitly does not characterize the closure of the PEG-generated image.