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Analyze the V3 targeted confirmation failures - #3530

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Analyze the V3 targeted confirmation failures#3530
joshlf wants to merge 1 commit into
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Glzlcl663nbggljjqi64x7gs3yyw5b7ys

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@joshlf joshlf commented Aug 3, 2026

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Perform a post-result qualitative analysis without changing the official V3
decision. Trace each miss back to the proof structure that produced it rather
than adding a checklist of fixture-specific mistakes.

The configuration failures omit the semantics of combinators such as all and
not, then assert closure of the resulting product or complement. The
exact-domain failures compress an ordered, fallible build into an endpoint
mapping and therefore cannot reconstruct which intermediate states are
reachable. Several reports state that two sets are incomparable without giving
both separating witnesses. One otherwise-correct report omits authority for
the usize domain. Another seeks a maximal bad-input remainder even though one
complete existential witness is sufficient for UNSOUND.

These observations explain why Required/Covered and verdict certificates were
necessary but not sufficient: the representation still allowed lossy summaries
to masquerade as exact derivations. They motivate V4's explicit case domains
and fibers, set-relation certificates, staged construction relations,
reversible transformations, and demand-driven counterexample scope. Keep these
as general proof obligations rather than embedding the evaluated fixtures in
the runtime skill.


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git fetch origin refs/heads/Glzlcl663nbggljjqi64x7gs3yyw5b7ys && git checkout -b pr-Glzlcl663nbggljjqi64x7gs3yyw5b7ys FETCH_HEAD

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git fetch origin refs/heads/Glzlcl663nbggljjqi64x7gs3yyw5b7ys && git checkout FETCH_HEAD

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git fetch origin refs/heads/Glzlcl663nbggljjqi64x7gs3yyw5b7ys && git cherry-pick FETCH_HEAD

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git pull origin refs/heads/Glzlcl663nbggljjqi64x7gs3yyw5b7ys

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Perform a post-result qualitative analysis without changing the official V3
decision. Trace each miss back to the proof structure that produced it rather
than adding a checklist of fixture-specific mistakes.

The configuration failures omit the semantics of combinators such as all and
not, then assert closure of the resulting product or complement. The
exact-domain failures compress an ordered, fallible build into an endpoint
mapping and therefore cannot reconstruct which intermediate states are
reachable. Several reports state that two sets are incomparable without giving
both separating witnesses. One otherwise-correct report omits authority for
the usize domain. Another seeks a maximal bad-input remainder even though one
complete existential witness is sufficient for UNSOUND.

These observations explain why Required/Covered and verdict certificates were
necessary but not sufficient: the representation still allowed lossy summaries
to masquerade as exact derivations. They motivate V4's explicit case domains
and fibers, set-relation certificates, staged construction relations,
reversible transformations, and demand-driven counterexample scope. Keep these
as general proof obligations rather than embedding the evaluated fixtures in
the runtime skill.

gherrit-pr-id: Glzlcl663nbggljjqi64x7gs3yyw5b7ys
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