Claim FPRD-T06

Exact statement

A finite uniquely labeled positive strongly guarded presentation admits a well-defined extraction of finitely many right-success call-site context actions and a graph-generated observational dynamic, functorial under variable and call-label renaming and invariant under sequence reassociation.

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 OPEN_PROBLEMS.md. The matrix has not yet rewritten that source into a self-contained public proof summary.

OPEN_PROBLEMS.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 complete frame extraction, M2-fixed semantic actions, coherent bounded shadows, graph-generated states and readout, functorial alpha/label transport, and sequence-reassociation invariance. Reachability means closure under the call schema, not input activation. Failure/test continuations and alias/inlining moves remain later.

Open work

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

Notes

The proof gives finite complete frame extraction, M2-fixed semantic actions, coherent bounded shadows, graph-generated states and readout, functorial alpha/label transport, and sequence-reassociation invariance. Reachability means closure under the call schema, not input activation. Failure/test continuations and alias/inlining moves remain later.