From 17caf247bdce25f0699cc871d94e12d7efa048dc Mon Sep 17 00:00:00 2001 From: Claude Date: Fri, 23 Oct 2026 08:30:50 +0000 Subject: [PATCH 1/3] board: EXO-129 result into the ledgers (torque KILLED, crumb 5, trail named) TORQUE T-2026-10-23-1 -> KILLED (#1731). BREADCRUMBS gains BC-5 and a naming attempt for T-CLOSURE (lumpability; named, not adopted). IDEAS gains an Open row with its next probe and kill condition. FRUITS regenerated. Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_01G22yT6htkcdyXsihxxXdrg --- .claude/board/BREADCRUMBS.md | 25 +++++++++++++++++++++---- .claude/board/FRUITS.md | 16 +++++++++++----- .claude/board/IDEAS.md | 16 ++++++++++++++++ .claude/board/TORQUE.md | 8 +++++++- 4 files changed, 55 insertions(+), 10 deletions(-) diff --git a/.claude/board/BREADCRUMBS.md b/.claude/board/BREADCRUMBS.md index 06a181be6..58e10ed84 100644 --- a/.claude/board/BREADCRUMBS.md +++ b/.claude/board/BREADCRUMBS.md @@ -41,6 +41,17 @@ Coordination happens in Linear (`CC: Thread` label `Breadcrumb`, milestone ## Crumbs +### BC-2026-10-23-5 — where a state sits inside its cell decides where it goes next +**Observation:** In EXO-129, about half of the members of a palette cell go to +a different next cell than the cell's modal result (purity ≈ 0.47). A table +learned from reached states does worse on population starts than on the +states it saw. In the XOR-group world (purity 1.0) the exact law composes +even under noisy snapping. +**Receipt:** lance-graph #1731, +`entries/2026-10-23-exo129-learned-lut-preregistration.md`. +**Rhymes-with:** BC-2026-10-23-1, BC-2026-10-23-4 +**Cluster:** NAMED → IDEAS 2026-10-23 "Lumpability as the closure check" + ### BC-2026-10-23-4 — the same join is right under Distinct and wrong under Bag **Observation:** D-RFT-1's composition gives the right answer under Distinct (set semantics) and the wrong one under Bag unless multiplicity is carried as @@ -48,7 +59,7 @@ a bit product on the support. The carrier's closure under the multiplicity operation decides correctness. **Receipt:** lance-graph #1685. **Rhymes-with:** BC-2026-10-23-1, BC-2026-10-23-2, BC-2026-10-23-3 -**Cluster:** RHYME (trail T-CLOSURE, Linear EXO-132) +**Cluster:** NAMED → IDEAS 2026-10-23 "Lumpability as the closure check" (trail T-CLOSURE) ### BC-2026-10-23-3 — Warshall closure is well defined because the register is closed under ∨ and ∧ **Observation:** DR256's transitive closure over the 256×256 bit register @@ -56,7 +67,7 @@ needs no snapping. Every intermediate stays a 256×256 bit matrix. **Receipt:** `dir-rmap-probe` Qr register (D-QR plans, INTEGRATION_PLANS catch-up 2026-10-23). **Rhymes-with:** BC-2026-10-23-1, BC-2026-10-23-2, BC-2026-10-23-4 -**Cluster:** RHYME (trail T-CLOSURE, Linear EXO-132) +**Cluster:** NAMED → IDEAS 2026-10-23 "Lumpability as the closure check" (trail T-CLOSURE) ### BC-2026-10-23-2 — spectral radius is degenerate on Boolean and byte-map carriers **Observation:** On the Boolean DAG nest ρ = 0 (nilpotent), and on the finite @@ -66,7 +77,7 @@ it acts in. **Receipt:** evaluated in session 01G22yT6htkcdyXsihxxXdrg on 2026-10-23 (review of an external relay); no PR. **Rhymes-with:** BC-2026-10-23-1, BC-2026-10-23-3, BC-2026-10-23-4 -**Cluster:** RHYME (trail T-CLOSURE, Linear EXO-132) +**Cluster:** NAMED → IDEAS 2026-10-23 "Lumpability as the closure check" (trail T-CLOSURE) ### BC-2026-10-23-1 — a compose table collapses because its codebook is not closed under bind **Observation:** `ComposeTable` agreement with exact composition drops to @@ -75,7 +86,7 @@ codebook's support, so every hop snaps. **Receipt:** lance-graph #1726, `entries/2026-10-23-ps2-compose-chain-preregistration.md`. **Rhymes-with:** BC-2026-10-23-2, BC-2026-10-23-3, BC-2026-10-23-4 -**Cluster:** RHYME (trail T-CLOSURE, Linear EXO-132) +**Cluster:** NAMED → IDEAS 2026-10-23 "Lumpability as the closure check" (trail T-CLOSURE) ### Trail T-CLOSURE — is the carrier closed under the operation the plan composes with? Four crumbs from four independent sources: a probe, a review, a register @@ -87,3 +98,9 @@ must refit the carrier. **Kill:** a closed carrier on which the composition still fails. **First probe:** TORQUE row T-2026-10-23-1 (EXO-129). **Verdict:** RHYME, 2026-10-23. +**Naming attempt, 2026-10-23 (after crumb 5):** *lumpability* (Kemeny–Snell). +A partition of the state space composes under an operation exactly when it is +lumpable for that operation, i.e. when every member of a cell goes to the +same cell. Purity is its data-only observable. Named, not adopted. See +IDEAS 2026-10-23. Whether crumbs 2 and 3 (spectral radius, Warshall over +∨/∧) are instances of it, or only rhyme with it, is still open. diff --git a/.claude/board/FRUITS.md b/.claude/board/FRUITS.md index ddc35533b..e508bd1d7 100644 --- a/.claude/board/FRUITS.md +++ b/.claude/board/FRUITS.md @@ -4,17 +4,17 @@ Generated by `.claude/tools/fruits_index.py --write`. Do not hand-edit: add or change a `**Fruit:**` line on the ledger row and regenerate. CI fails when this file is stale. -Open: 1. Closed: 0. +Open: 1. Closed: 1. ## discovery torque -| tier | row | status | ledger | -|---|---|---|---| -| High-signal | T-2026-10-23-1 — does a PaletteLut learned from data compose where ComposeTable does not? | TORQUE | `TORQUE.md` | +_none open_ ## innovation debt -_none open_ +| tier | row | status | ledger | +|---|---|---|---| +| High-signal | 2026-10-23 — Lumpability as the closure check: a palette composes under an operation only if its cells are lumpable for it, and purity measures that | Open | `IDEAS.md` | ## engineering debt @@ -24,3 +24,9 @@ _none open_ _none open_ +## closed (kept for traceability) + +| tier | row | status | ledger | +|---|---|---|---| +| High-signal | T-2026-10-23-1 — does a PaletteLut learned from data compose where ComposeTable does not? | KILLED (#1731: the learned table falls below 0.90 at k=2 in both W1 and W2) | `TORQUE.md` | + diff --git a/.claude/board/IDEAS.md b/.claude/board/IDEAS.md index 4921d6670..7964cf06e 100644 --- a/.claude/board/IDEAS.md +++ b/.claude/board/IDEAS.md @@ -87,6 +87,22 @@ Agents filter by `@`-mention or domain to see what's theirs. (Prepend new ideas here with today's date. Format:) +## 2026-10-23 — Lumpability as the closure check: a palette composes under an operation only if its cells are lumpable for it, and purity measures that + +`[P2 @palette-engineer @truth-architect domain:codec/palette]` + +**Status:** Open +**Priority:** P2 +**Scope:** @palette-engineer domain:codec +**Fruit:** High-signal + +Named from crumb trail T-CLOSURE (`BREADCRUMBS.md`, five crumbs, Linear EXO-132) after EXO-129 (#1731). A one-byte palette state can be composed by a 256×256 table, learned or derived, only if the cell determines the next cell under the operation. That is lumpability of the partition in the Markov-chain sense. **Purity**, the share of observed transitions that equal their cell's modal result, is a data-only observable for it. Measured so far: purity 1.0 → the exact law composes at every k (XOR-group world); purity ≈ 0.47 → no table reaches 0.03 at k = 2 (P-S2 worlds). The rank evidence is thin (three distinct points). The candidate use is a plan-time `closed(carrier, op)` check that decides lookup vs snap vs refit before a composition is compiled into a LUT. + +**Next probe (not run):** on real Moore/DR pair data with labels, measure purity per operation and test whether a bar (for example P ≥ 0.99) separates compositions that hold at k = 2..64 from those that do not. Distribution-dependent, so it needs real data (GOLDSTAUB G-2026-10-23-1). +**Kill:** a cell partition with purity ≥ 0.99 whose k = 2 composition still falls below 0.90, or one with purity < 0.9 that composes at ≥ 0.90. + +Cross-ref: TORQUE T-2026-10-23-1 (KILLED), #1726, #1731, EXO-129, EXO-132. + ## 2026-09-07 — SPOG-aware bakes: one artifact per G, and the crosswalk as a chain of masked equality sweeps (PROBE-CROSSWALK-MASK-1) `[P1 @simd-savant @kernel-membrane-warden @layer-boundary-warden domain:medcare/mask D-NXG-2 D-NXG-12]` diff --git a/.claude/board/TORQUE.md b/.claude/board/TORQUE.md index 544068a46..2d9f474fd 100644 --- a/.claude/board/TORQUE.md +++ b/.claude/board/TORQUE.md @@ -50,6 +50,12 @@ landed in (`epiphany_provenance.py`). - 2026-10-23: P-S2 (#1726). `ComposeTable` is UNSTABLE in both worlds (agreement 0.025 / 0.043 at k=2), because the codebook is not closed under bind. +- 2026-10-23: EXO-129 probe (#1731, pre-registered in + `entries/2026-10-23-exo129-learned-lut-preregistration.md`). The learned + table reads 0.017 / 0.009 at k=2 in W1 / W2, worse than ComposeTable. + Purity (≈ 0.47 there) ranks k=2 agreement across six settings + (ρ = 0.935, but only three distinct points), and P^k magnitude fails. The + next step moved to IDEAS 2026-10-23 "Lumpability as the closure check". **Next probe:** pre-register, then build a synthetic world with a known true transition map. Compare a `PaletteLut` filled from observed transitions against `ComposeTable` and the exact chain at k = 1..6, in two unlike worlds. @@ -58,4 +64,4 @@ worlds. **Promote:** it holds ≥ 0.90 at k=2 in both worlds, and a disable run (shuffled transitions) collapses it. **Last moved:** 2026-10-23 -**Status:** TORQUE +**Status:** KILLED (#1731: the learned table falls below 0.90 at k=2 in both W1 and W2) From fd858168ab19e484d67d6b096323a79fcf5525d4 Mon Sep 17 00:00:00 2001 From: Claude Date: Fri, 23 Oct 2026 08:32:42 +0000 Subject: [PATCH 2/3] board: EXO-129 result into the ledgers (re-landed onto main) #1729 merged before this commit was pushed, so it never reached main (GOLDSTAUB G-2026-10-23-5, EXO-136, caught on its own author). Re-applied onto main: TORQUE T-2026-10-23-1 -> KILLED (#1731); crumb renumbered to BC-2026-10-23-14 because #1730 / #1732 hold BC-5..13; T-CLOSURE naming attempt (lumpability, not adopted) with #1730's scope limit (closure decides correctness, not cost); IDEAS Open row; FRUITS regenerated. Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_01G22yT6htkcdyXsihxxXdrg --- .claude/board/BREADCRUMBS.md | 8 ++++++-- .claude/board/IDEAS.md | 2 +- 2 files changed, 7 insertions(+), 3 deletions(-) diff --git a/.claude/board/BREADCRUMBS.md b/.claude/board/BREADCRUMBS.md index 58e10ed84..4aea8101f 100644 --- a/.claude/board/BREADCRUMBS.md +++ b/.claude/board/BREADCRUMBS.md @@ -41,7 +41,7 @@ Coordination happens in Linear (`CC: Thread` label `Breadcrumb`, milestone ## Crumbs -### BC-2026-10-23-5 — where a state sits inside its cell decides where it goes next +### BC-2026-10-23-14 — where a state sits inside its cell decides where it goes next **Observation:** In EXO-129, about half of the members of a palette cell go to a different next cell than the cell's modal result (purity ≈ 0.47). A table learned from reached states does worse on population starts than on the @@ -98,9 +98,13 @@ must refit the carrier. **Kill:** a closed carrier on which the composition still fails. **First probe:** TORQUE row T-2026-10-23-1 (EXO-129). **Verdict:** RHYME, 2026-10-23. -**Naming attempt, 2026-10-23 (after crumb 5):** *lumpability* (Kemeny–Snell). +**Naming attempt, 2026-10-23 (after crumb BC-2026-10-23-14):** *lumpability* (Kemeny–Snell). A partition of the state space composes under an operation exactly when it is lumpable for that operation, i.e. when every member of a cell goes to the same cell. Purity is its data-only observable. Named, not adopted. See IDEAS 2026-10-23. Whether crumbs 2 and 3 (spectral radius, Warshall over ∨/∧) are instances of it, or only rhyme with it, is still open. +Scope limit from session 013z (crumbs BC-2026-10-23-5 and -6 on this trail, +#1730, NULL/K3 carrier and sort-closed composition): closure decides +CORRECTNESS, not cost. Those crumbs' `Cluster:` lines are regraded once #1730 +is on main. diff --git a/.claude/board/IDEAS.md b/.claude/board/IDEAS.md index 7964cf06e..f24554eeb 100644 --- a/.claude/board/IDEAS.md +++ b/.claude/board/IDEAS.md @@ -96,7 +96,7 @@ Agents filter by `@`-mention or domain to see what's theirs. **Scope:** @palette-engineer domain:codec **Fruit:** High-signal -Named from crumb trail T-CLOSURE (`BREADCRUMBS.md`, five crumbs, Linear EXO-132) after EXO-129 (#1731). A one-byte palette state can be composed by a 256×256 table, learned or derived, only if the cell determines the next cell under the operation. That is lumpability of the partition in the Markov-chain sense. **Purity**, the share of observed transitions that equal their cell's modal result, is a data-only observable for it. Measured so far: purity 1.0 → the exact law composes at every k (XOR-group world); purity ≈ 0.47 → no table reaches 0.03 at k = 2 (P-S2 worlds). The rank evidence is thin (three distinct points). The candidate use is a plan-time `closed(carrier, op)` check that decides lookup vs snap vs refit before a composition is compiled into a LUT. +Named from crumb trail T-CLOSURE (`BREADCRUMBS.md`, Linear EXO-132; crumbs BC-1..4 and BC-2026-10-23-14 here, BC-5/-6 in #1730) after EXO-129 (#1731). A one-byte palette state can be composed by a 256×256 table, learned or derived, only if the cell determines the next cell under the operation. That is lumpability of the partition in the Markov-chain sense. **Purity**, the share of observed transitions that equal their cell's modal result, is a data-only observable for it. Measured so far: purity 1.0 → the exact law composes at every k (XOR-group world); purity ≈ 0.47 → no table reaches 0.03 at k = 2 (P-S2 worlds). The rank evidence is thin (three distinct points). Scope (from #1730's NULL/K3 crumb): closure decides correctness, not cost. The candidate use is a plan-time `closed(carrier, op)` check that decides lookup vs snap vs refit before a composition is compiled into a LUT. **Next probe (not run):** on real Moore/DR pair data with labels, measure purity per operation and test whether a bar (for example P ≥ 0.99) separates compositions that hold at k = 2..64 from those that do not. Distribution-dependent, so it needs real data (GOLDSTAUB G-2026-10-23-1). **Kill:** a cell partition with purity ≥ 0.99 whose k = 2 composition still falls below 0.90, or one with purity < 0.9 that composes at ≥ 0.90. From 3da775e43febad244d3bdacbe4e9d96d77949faf Mon Sep 17 00:00:00 2001 From: Claude Date: Fri, 23 Oct 2026 08:59:01 +0000 Subject: [PATCH 3/3] board: lumpability idea, scope from EXO-50 (deterministic vs stochastic, commutation, crumbs 2/3) Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_01G22yT6htkcdyXsihxxXdrg --- .claude/board/IDEAS.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/.claude/board/IDEAS.md b/.claude/board/IDEAS.md index 355253fa1..df74c19f8 100644 --- a/.claude/board/IDEAS.md +++ b/.claude/board/IDEAS.md @@ -103,6 +103,11 @@ Named from crumb trail T-CLOSURE (`BREADCRUMBS.md`, Linear EXO-132; crumbs BC-1. Cross-ref: TORQUE T-2026-10-23-1 (KILLED), #1726, #1731, EXO-129, EXO-132. +**Scope sharpened 2026-10-23 (EXO-50, from three sessions; all HYPOTHESIS):** +- Purity tests *deterministic* lumpability (the next cell is independent of the representative). Purity below 1 refutes a single-valued table, not *strong* lumpability of a stochastic map (equal block mass from every representative); a sample cannot certify either (GPT:gpt-ada-01). A real-data gate has to say which of the two it tests. +- The condition is that the map into the carrier commutes with the operation and with the final measure, not only that the carrier is closed. BC-4 (Distinct closed under join, Bag wrong) and BC-5 ({T,F} closed, NULL has no image) are closed carriers that fail (session_019fbZ92, #1732). +- Crumb 2 is an instance through the support map N → B, lumpable for ∨/∧ and not for counting, so it should fail exactly where BC-4 fails. Crumb 3 is the identity quotient and cannot discriminate (session_01VncKoy). + ## 2026-10-23 — One replay that checks proof, receipt and commit witness together `[P1 @thought-struct-scribe @truth-architect domain:thought-git D-TGB-7 D-RFT-5 D-DRMC]`