Literature harvest post-#1132 + Pillar 11 green for lattice walks + pre-#1129 register audit pins - #1133
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…NT NOW empty Five-area literature audit (NARS/term logic, bilattice/FDE, EIG/active inference, Hambly-Lyons signatures, SPD/EWA concentration) adjudicated against the ratified post-#1126..#1132 / OGAR #295..#297 architecture and against shipped code rather than prose. Outcome: no new atom, axis, or core opcode. Nine certificate-grade results, of which two correct existing claims: - Pillar 5+ (jc/koestenberger.rs) is a lawful use of K-S Thm 1, but sigma_propagation::pillar_5plus_bound is the jc generator's empirical CV curve applied to a congruence orbit, and sigma_tension_u4 divides a squared distance by it. Deterministic isometry bound proposed as the expressible replacement (probed). - Pillar 11's cited Hambly-Lyons Thm 1 is correct and insufficient; Thm 2/3 of the same paper give the finite-depth certificate for lattice walks (length-parameterized). Depth-2 forward leg is necessary-only: the paper's own figure-eight has S1=S2=0, S112=1 (probed). Also: ACCUMULATE on L16 is associative (0/4096 violations) — the module caveat is too weak; the real defect is ratio distortion under per-side clamp. Greedy INFO_GAIN admission has a published Omega(n/log n) lower bound; EC^2 is the adaptive-submodular repair as a rung-local script. Board hygiene: one EPIPHANIES entry; SUPERSESSION-INDEX regenerated last. Zero code changed. Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP
📝 WalkthroughWalkthroughThe pull request adds finite-depth Hambly–Lyons lattice validation, updates signature-kernel losslessness documentation, strengthens epistemic basin contracts and tests, and records related literature audits and board state. ChangesCertification and contract updates
Estimated code review effort: 4 (Complex) | ~45 minutes Merge Risk: 🟡 Moderate · up to The lattice-walk certificate currently has inconsistent theorem attribution and depth rounding, which could make its claimed separation bound incorrect; the PR is not merge-ready until the formula and related documentation are aligned or the risk is explicitly accepted. Sequence Diagram(s)sequenceDiagram
participant HamblyLyonsProbe
participant LatticeWordEnumeration
participant SignatureDistanceChecks
participant PillarDiagnostics
HamblyLyonsProbe->>LatticeWordEnumeration: enumerate and reduce lattice words
LatticeWordEnumeration->>SignatureDistanceChecks: provide words for signature checks
SignatureDistanceChecks->>HamblyLyonsProbe: return separation and collapse results
HamblyLyonsProbe->>PillarDiagnostics: emit lattice measurements and pass status
Suggested reviewers: Poem
🚥 Pre-merge checks | ✅ 4 | ❌ 1❌ Failed checks (1 warning)
✅ Passed checks (4 passed)
Full details: Docstring CoverageExplanation Docstring coverage is 53.85% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 13 functions across 4 files. (3 skipped: 3 unsupported.)
✨ Finishing Touches 💡 1📝 Generate docstrings 💡
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…ister audit pins Hambly-Lyons math/0507536v2 §2.4 Theorem 2/3 re-read from the primary source: a lattice word of length L is separated from the identity at depth floor(e·ln(1+√2)·L) = floor(2.3958·L). New W6 leg in jc::hambly_lyons (gated, default build stays zero-dep): 484/484 reduced words of length <= 5 separated at the theorem depth; 64 tree-like words at the identity (2e-15); 64 reduced length-8 words share S^(2) = 1 with the constant path and all separate by depth 3 <= floor(c·8) = 19; d = 1 collapses to exactly 7 classes. Disable arm (cap the separation search at depth 2) fails the test. sigker's Index regime re-worded as length-parameterized; depth 2 is a necessary condition only. epistemic_bassin: source audit of the superseded signed lane — true i4 over [-8, 7], "-3..+3" was prose only, the #1129 failure is dimensional (every magnitude 1..7 nets to SILENT). Adds const width pins (size_of == 24 == 2·CASCADE_UNITS), the universal-magnitude balanced-conflict test, and the exhaustive associativity / non-cancellativity census; corrects the module caveat (sum-then-clamp is an MV-monoid, associative across hops; the clamp costs cancellativity). Board: one EPIPHANIES entry; LATEST_STATE line; SUPERSESSION-INDEX regenerated last. Verified in a scratch standalone workspace (the in-tree workspace cannot load here: the ndarray sibling is absent). Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP
…heuristic; the promotion to a bound was #322/#1129 Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP
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Inline comments:
In @.claude/knowledge/literature-harvest-2026-09-01-post-1132.md:
- Line 20: Escape every literal mathematical pipe used inside the Markdown table
cells so the rows remain valid: update
.claude/knowledge/literature-harvest-2026-09-01-post-1132.md lines 20, 35, 38,
and 44, including the growth absolute-value expression, signature formula, norm
and absolute-value expressions, and conditional-entropy expression.
In `@crates/jc/src/hambly_lyons.rs`:
- Line 463: Add a local #[cfg(test)] module near the lattice helpers, with
focused unit tests covering hl_theorem2_depth, is_reduced, and a known depth-2
false merge; assert each helper’s behavior directly rather than relying solely
on the aggregated prove() result.
- Around line 371-377: Update hl_theorem2_constant and hl_theorem2_depth to use
the 2e coefficient and ceiling rounding required by the lattice certificate.
Recalculate the bounds, theorem description, pair-depth derivation, stated
depths, exhaustive-test cost, and diagnostic labels in
crates/jc/src/hambly_lyons.rs at ranges 34-39, 355-364, 371-377, 379-384, and
644-650. Publish the corrected coefficient and rounding in
crates/sigker/src/codec.rs:47-48, and correct the census formula, reported
constant, and certificate statement in
.claude/knowledge/literature-harvest-2026-09-01-post-1132.md at ranges 35 and
159-160.
Apply the same fix in @.claude/board/EPIPHANIES.md around lines 9 - 13: Apply
the same verified citation and rounding.
🪄 Autofix
Fix all unresolved CodeRabbit comments on this PR:
- Push a commit to this branch (recommended)
- Create a new PR with the fixes
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…ble pipes Review round (CodeRabbit on #1133): direct tests for hl_theorem2_depth (the paper's floor for L = 1..16), is_reduced, and the figure-of-eight as a depth-2 false merge separated at depth 3; doc comments on the helpers. Markdown table rows with |x| inside code spans escaped. The "2e coefficient / ceiling / Theorems 5–6" finding was checked against the primary source and NOT applied: math/0507536v2 p.11 states Theorem 2 with ⌊e·log(1+√2)·L⌋ and p.14 states Theorem 3; the citation here is to that arXiv version explicitly. Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP
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… Thm 5/6) CodeRabbit's finding on #1133 was right and my arXiv-only rebuttal was wrong: arXiv math/0507536v2 states the lattice results as Theorems 2/3 with coefficient e, but its proof indexes the odd-degree sum by pairs, and the published Annals 171 (2010) text — verified against the journal PDF — states Theorems 5/6 with 2e·log(1+√2) and takes x = 2·log(1+√2)·L in the proof. hl_theorem2_constant is now 2e·ln(1+√2) = 4.7916 (floor rounding unchanged, as stated). The exhaustive arm shortens to words of length ≤ 3 (52 reduced words, depth 14) because the doubled depth makes length 5 (depth 23) too large; the tree-like arm uses a fixed depth 12 (identity holds at every depth, Cor. 6.4); the false-merge search still escalates and stops at level 3. sigker docs, harvest ledger, LATEST_STATE and a dated ⊘ correction inside the EPIPHANIES entry updated; the version trap is recorded in the pillar header so it is not re-walked. Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP
What
Five commits on one branch.
1.
97db650— literature harvest (docs + board only)A five-area literature harvest (NARS/term logic, bilattice/FDE, EIG/active inference, Hambly-Lyons signatures, SPD/EWA concentration) adjudicated against the ratified post-#1126..#1132 / OGAR #295..#297 architecture and against shipped code.
.claude/knowledge/literature-harvest-2026-09-01-post-1132.md— ground-truth table, 45-row census, nine detailed rows, MINT NOW / MACROS / CERTIFICATES / V3 SURVIVES / V4 PRESSURE / DO NOT MINT.EPIPHANIES.mdentryE-LITERATURE-HARVEST-POST-1132-TWO-PILLAR-CORRECTIONS-1.MINT NOW is empty. Certificate-grade results: Pillar 5+ (
jc/koestenberger.rs) is a lawful use of K-S Thm 1, butsigma_propagation::pillar_5plus_boundis the jc generator's empirical CV curve applied to a congruence orbit, andsigma_tension_u4divides a squared distance by it (deterministic isometry bound proposed as the expressible replacement, probed). Greedy INFO_GAIN admission has a published Ω(n/log n) lower bound; EC² is the adaptive-submodular repair as a rung-local script. One v4 pressure (a conative pair) survives its witness pair and is blocked on a scope ruling.2.
7751581..1a3c729— Pillar 11 green for lattice walks + register audit pins (code)Hambly-Lyons Theorem 5/6 (Annals of Math 171, 2010): a lattice word of length L is separated from the identity at depth ⌊2e·ln(1+√2)·L⌋ = ⌊4.7916·L⌋ (d=2; × (2⌈log₃(d/2)⌉+3) in general). Version trap, caught by CodeRabbit on this PR and confirmed against the Annals PDF (
1a3c729): the arXiv math/0507536v2 preprint states this as Theorem 2 withe; the published proof setsx = 2·log(1+√2)·L. The code and every doc now carry the published constant. New W6 leg incrates/jc/src/hambly_lyons.rs(gated behindhambly-lyons; default build stays zero-dep/DEFERRED):LATTICE_L_MAX = 3; the doubled depth makes longer words allocate2^depthcoefficients)c c⁻¹insertions) at fixed depth 12 (identity holds at every depth)S^(2) = 1(the paper's §1.6 figure-of-8 class)Disable arm (cap the separation search at depth 2) fails the test.
sigkerIndex regime re-worded as length-parameterized (N ≥ ⌊c(d)·(|X|+|Y|)⌋); depth 2 is a necessary condition only; a singleu8:u8rail read as one axis is out of regime; arbitrary quantized step vectors stay outside Theorem 5 (Theorem 9 gives non-triviality without a depth).EPIPHANIES.mdentryE-PILLAR-11-GREEN-FOR-LATTICE-WALKS-LENGTH-PARAMETERIZED-1carries a dated ⊘ correction block for the constant.Pre-#1129 signed register audit (source-level,
basin_lanes.rs/atoms::I4x32::sext4): the old lane was true two's-complement i4 over the full[−8, 7]; "−3..+3" is prose only (one illustrative pair,git log -Snegative); the #1129 failure is dimensional — the transcribed old encoder maps+x + (−x)to bytes identical toSILENTfor everyx ∈ 1..=7(onlyx = 8escapes via the+8 → +7clamp). Bit accounting: old 24×4 = 96 bit = 12 B; new 24×(4+4) = 192 bit = 24 B. No jc pillar certifies a projection level it did not test. Added toepistemic_bassin.rs:constwidth pins (size_of == 24 == 2·CASCADE_UNITS),the_pair_distinguishes_balanced_conflict_from_silence_at_every_magnitude, and the exhaustive associativity / non-cancellativity census; the module caveat "NOT associative" corrected (sum-then-clamp on L₁₆ is an MV-monoid; the clamp costs cancellativity only).Two wording risks left for the operator, not edited:
epistemic_bassin.rsline 18 ("one extra 12-byte register") vs line 61 ("a reading of the SAME physical lane") cannot both size one row;PR_ARC_INVENTORY.md~1688 summarisesprobe_tarski_signed_witnessas a one-lane signed field although its polarities live in two slots.Twin: the bit-exact
i128lattice lane in AdaWorldAPI/ndarray#292 carries the same constant and the same pins with integer equality instead of an f64 tolerance.Verification
cargo test --manifest-path crates/jc/Cargo.toml --features hambly-lyons --release hambly_lyons→ 4/4 (1.9 s), in-tree now that thendarraysibling is cloned;cargo test -p lance-graph-contract --release --lib epistemic_bassin→ 15/15.rustfmton every touched Rust file; SUPERSESSION-INDEX regenerated last (unchanged).🤖 Generated with Claude Code
https://claude.ai/code/session_01QHVUi6Q9XtmKgxh6pDRayP