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Written-proof claim

FPRD-T27

Claim FPRD-T27

Exact statement

For every finite cycle-guarded positive relational presentation, the unique contractive-iterate fixed point is its M11 least fixed point and finite-derivation semantics, its bounded suffix and complete-match readouts are exact by the certified block depth, and its labeled M12 continuation actions are evaluated in that same uniquely determined behavior vector.

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

  • M17 changes the fixed-point policy only where the static delay certificate proves uniqueness; existing positive least semantics remains the adequacy bridge.

Open work

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

Notes

M17 changes the fixed-point policy only where the static delay certificate proves uniqueness; existing positive least semantics remains the adequacy bridge.