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docs(proofs): correct the float argument, fixture claims and receipt status - #52
A statement-level review (2026-11-09) compared the ledger and docs with the Agda. This PR changes comments, ledger and doc text only. No proof term changes.
The floating-point exclusion argument was wrong. The docs said rounding is not monotone and cited no-always-true. In fact round-to-nearest is monotone, and no-always-true only refutes a comparison that always answers true. Float64 is still excluded, for two different reasons:
a Float64 carrier is not a model of the OrderedGroup laws, because + is not associative and NaN is unordered;
the bound would be about float-computed Q, not exact Q.
The correction is in EXPLAINME, docs/applications/rapidnj-q-criterion.adoc, and the OrderedGroup and RapidNJSkip comments.
Two fixtures fail for incidental reasons.ReplayedHolder fails on the holder index and UnderstatedBound on the budget index, not on the property each is named for. Their headers now point to the positive theorems that carry that evidence: noSilentHolderTransport and noUnderstatedBound.
PROOF-STATUS audit note:
The 2026-11-07 "local receipt" rows cite logs kept under the gitignored _build/, so those receipts can't be retrieved from the repo. Hosted Proof Safety passed on dcd4648, and that run should be recorded as the receipt.
OS-1's equivalence holds for every decoder on generated inputs. It is decoder-relative, not information-flow noninterference, which the README lists as out of scope.
RS-1's "least" holds by definition.
status-of-skip-is-factive is refl on a constant.
C-2 round-trips with EchoR, not the canonical Echo fibre; the fibre correspondence is C-4.
Every theorem is ungraded under PROOF-POLICY §8.
Verification
All of these pass locally on Agda 2.7.0.1:
tests/check-proofs.sh: 31 modules, with the 23 warning spans unchanged.
tests/check-rejections.sh.
tests/check-policy.sh.
CI pins 2.6.4.3, so this PR's CI run is the receipt.
Follow-ups (not in this PR)
Rewrite the two fixtures so they fail on the property itself.
Commit or link the receipts.
Unify the warrant modes in ProofTransport, or distinguish them in the types.
…status
A statement-level review (2026-11-09) compared the ledger and docs with
the Agda. This commit changes comments, ledger and doc text only; no
proof term changes.
- The floating-point exclusion argument was wrong: round-to-nearest is
monotone, and no-always-true only refutes an always-true comparison.
Float64 is excluded because it is not a model of the OrderedGroup
laws (non-associative +, unordered NaN) and because the bound would be
about float-computed Q. Corrected in EXPLAINME, the RapidNJ doc,
OrderedGroup and RapidNJSkip comments.
- ReplayedHolder and UnderstatedBound fail on an index mismatch, not on
the property they are named for; their headers now say so and point to
the positive theorems that carry that evidence.
- PROOF-STATUS gains an audit note: the 2026-11-07 local receipts live
under the gitignored _build/ and cannot be retrieved (hosted Proof
Safety on dcd4648 is the receipt to record); OS-1 and RS-1 are partly
definitional; C-2 round-trips with EchoR, not the Echo fibre; every
theorem is `ungraded` under PROOF-POLICY §8.
Checked: tests/check-proofs.sh (31 modules, 23 warning spans unchanged),
tests/check-rejections.sh and tests/check-policy.sh pass on Agda
2.7.0.1 (CI pins 2.6.4.3).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MF5GeeBBDF6sUzr6pZTjWV
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Commits
Reviewing files that changed from the base of the PR and between ca45767 and 2f2bf1f.
Files selected for processing: 3
EXPLAINME.adoc
docs/applications/rapidnj-q-criterion.adoc
src/EpistemicTypes/Applications/OrderedGroup.agda
Summary
Summary by CodeRabbit
Documentation
Clarified the requirements for rational-number support and the conditions needed for valid bounds.
Updated the explanation of why Float64 cannot satisfy the required ordered-group laws or provide bounds over exact values.
Corrected descriptions of rounding monotonicity and comparison checks, distinguishing checks for always-true comparisons from claims about rounded inputs.
Added audit notes documenting proof limitations and evidence.
This change corrects statements about Float64, rounding, and RapidNJ bounds. It also adds audit notes about proof status, receipts, theorem descriptions, and rejection-fixture evidence.
Changes: Documentation and evidence audit
Layer / File(s)
Summary
Float64 and RapidNJ caveat EXPLAINME.adoc, docs/applications/rapidnj-q-criterion.adoc, src/EpistemicTypes/Applications/OrderedGroup.agda, src/EpistemicTypes/Applications/RapidNJSkip.agda
The descriptions identify Float64's non-associative addition and unordered NaN, distinguish float-computed Q from exact Q, and clarify that no-always-true refutes only an always-true comparison.
Proof and fixture evidence PROOF-STATUS.adoc, tests/reject/ReplayedHolder.agda, tests/reject/UnderstatedBound.agda
The audit note records limits on receipt and theorem evidence, distinguishes the C-2 and C-4 Echo representations, and updates claims about the two rejection fixtures.
The Float64 explanation misstates one proof requirement. Correcting it would avoid misleading readers; the change otherwise has bounded risk.
Pre-merge checks: 4
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The title names the main change: correcting the floating-point argument, fixture claims, and receipt status in documentation. It is specific to the docs-only audit corrections. The title uses a 'docs(…
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The description states the purpose: a statement-level review corrected the floating-point exclusion argument, two fixture headers, and the PROOF-STATUS audit note. It explains the documentation-only s…
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The title names the main change: correcting the floating-point argument, fixture claims, and receipt status in documentation. It is specific to the docs-only audit corrections. The title uses a 'docs(proofs):' prefix, which is a conventional commit style. Its three-part scope is slightly dense but accurate. The changeset covers comments, the ledger, and docs, and the title matches that scope.
Full details: Description check
Explanation
The description states the purpose: a statement-level review corrected the floating-point exclusion argument, two fixture headers, and the PROOF-STATUS audit note. It explains the documentation-only scope and gives verification steps and follow-ups. It matches the changed files, including EXPLAINME, the rapidnj-q-criterion doc, the OrderedGroup and RapidNJSkip comments, the two fixtures, and PROOF-STATUS.
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Actionable comments posted: 1
Fix comments: Fix CodeRabbit comments on this PR
Prompt to fix all issues
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only still-valid issues, skip the rest with a brief reason, keep changes
minimal, and validate.
Inline comments:
Review comments at @src/EpistemicTypes/Applications/OrderedGroup.agda:
- Around line 32-33: Update the Float64 explanation for OrderedGroup to remove
associativity as a reason it is not a model, since the record does not require
associativity. Retain the NaN ordering issue as the valid reason, and correct
the same associativity claim in EXPLAINME.adoc and the rapid-NJ Q-criterion
documentation.
After applying the fix, consider running `coderabbit review --agent` for local
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Reviewing files that changed from the base of the PR and between dcd4648 and ca45767.
Files selected for processing: 7
EXPLAINME.adoc
PROOF-STATUS.adoc
docs/applications/rapidnj-q-criterion.adoc
src/EpistemicTypes/Applications/OrderedGroup.agda
src/EpistemicTypes/Applications/RapidNJSkip.agda
tests/reject/ReplayedHolder.agda
tests/reject/UnderstatedBound.agda
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OrderedGroup does not ask for associativity, so non-associative float
addition is not why Float64 fails to be a model. The obstruction is that
NaN is unordered, so ≤-refl fails. Corrects OrderedGroup.agda,
EXPLAINME.adoc and the RapidNJ Q-criterion note.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MF5GeeBBDF6sUzr6pZTjWV
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Summary
A statement-level review (2026-11-09) compared the ledger and docs with the Agda. This PR changes comments, ledger and doc text only. No proof term changes.
The floating-point exclusion argument was wrong. The docs said rounding is not monotone and cited
no-always-true. In fact round-to-nearest is monotone, andno-always-trueonly refutes a comparison that always answers true. Float64 is still excluded, for two different reasons:OrderedGrouplaws, because+is not associative and NaN is unordered;The correction is in EXPLAINME,
docs/applications/rapidnj-q-criterion.adoc, and theOrderedGroupandRapidNJSkipcomments.Two fixtures fail for incidental reasons.
ReplayedHolderfails on the holder index andUnderstatedBoundon the budget index, not on the property each is named for. Their headers now point to the positive theorems that carry that evidence:noSilentHolderTransportandnoUnderstatedBound.PROOF-STATUS audit note:
_build/, so those receipts can't be retrieved from the repo. Hosted Proof Safety passed ondcd4648, and that run should be recorded as the receipt.status-of-skip-is-factiveisreflon a constant.EchoR, not the canonicalEchofibre; the fibre correspondence is C-4.ungradedunder PROOF-POLICY §8.Verification
All of these pass locally on Agda 2.7.0.1:
tests/check-proofs.sh: 31 modules, with the 23 warning spans unchanged.tests/check-rejections.sh.tests/check-policy.sh.CI pins 2.6.4.3, so this PR's CI run is the receipt.
Follow-ups (not in this PR)
Generated by Claude Code