Manuscript X-K-ST@1 · X-K-ST.tex · section · 93c39c0f
Debugging audit
Debugging audit · lines 1994–2094
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Potential overstatement & Correction
Potential overstatement & Correction
Finite adaptive composition is first proved here &
X-I-ST already gives the skeleton. The present
claim is the assembled typed, routed, resource-fitting
certificate.
A new clock name is an independent random clock &
Freshness is a type/provenance condition. Joint
preparations may be correlated.
A consumed name can be restored by relabelling &
A new output factor and its actual preparation or
restoration map are required.
The record universally restores the clock &
Two different clock superpositions have identical
destructive outputs.
One path operator exists for every public history &
General instruments require a Kraus refinement
inside each public history.
Hidden Kraus labels may control later commands &
Only declared accessible outcomes can select a
continuation.
Single-clock marginals determine a multi-clock law &
The correlated and anticorrelated examples have
the same marginals and disjoint joint laws.
A successful branch is a deterministic process &
Every failure continuation and terminal output
is retained.
A joint state formula delivers the record &
Remote control requires a causal record wire
and arrival before use.
Identity of the reference marginal proves
identity transport &
Even replacement channels leave an untouched
reference marginal unchanged. The route proves
the full payload–reference identity.
A release removes the register from every cost &
Returned and supplier storage remain in their
own ledgers.
Every finite protocol fits a fixed reserve &
Capacity, duration, permissions, and location
fit are explicit additional checks.
Cumulative clock supply equals simultaneous peak &
They are different counts. Every actual holding
is charged at the cut where it occurs.
One tested trace error gives a diamond estimate &
The identity/Pauli example disproves this.
State-specific and uniform bounds are separated.
Per-stage marginals price correlated device memory &
The memory and history must be in the step
interfaces.
All branches should be added in the adaptive budget &
The proved worst-path recursion charges only
one root-to-leaf chain in the uniform bound.
A favorable branch probability discounts any
node error &
Such weighting needs a separate justified
estimate; it is not assumed.
A small complete error controls normalized
rare branches uniformly &
Conditioning requires a positive event-probability
margin.
A logical-only bound certifies arrival &
The arrival or timeout flag must be included
in the complete compared output.
A complete-channel bound validates an enclosure &
The enclosure needs its own independent
mathematical or numerical justification.
A telescope is a sampling confidence theorem &
No sampling model or finite-shot theorem is
introduced.