Manuscript Oai272-A@1 · Oai272-A.tex · section · a40828a0

Stage-by-stage disposition

Debugging and release ledger › Stage-by-stage disposition · lines 2257–2306

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StageCompleted objectExact status
StageCompleted objectExact status
0Three separate external records; protocol, Choi, and distance conventions; formalization split.Frozen, with proof-placeholder and arithmetic-scope corrections.
1Represented-class algebra, common transcript factors, four-effect inequality, Choi transfer, range test, and generic channel completion.Local implications proved. External geometric instance not independently verified.
2Resource, recovery, reference, and complete-record pricing interfaces.Local bounds and comparison ledger supplied; no false premise transfer.
3Finite support-witness procedure and witness transport to the completed channel.Termination proved under exact promises. No external instance or execution asserted.
4Protocol-subclass monotonicity and named finite counterexamples.Logical weakenings corrected. No unsupported dimension or non-PPT theorem claimed.
5Static-data, recovery, secrecy, temporal, and gravitational non-identifications.Scoped separation established; no gravitational test constructed.
6Exact rational terminal certificate and a conditional assembly theorem.Finite certificate completed. External-instance verification remains the single handoff.