Rank 1 on the adopted docket, and the cheapest item on it: two ratified ADRs
whose records contradicted the code, plus the ADR-0252 obligation that Track
A's ratified NO-GO created. All four land in two files because they are two
files under one authority — splitting them would have bought two reviews of
the same document.
ADR-0146 (R-12a, option A) — the daemon it rejected, shipped.
The Shape-A rejection stands AS REASONING: a background daemon does require
process-supervision infrastructure that Shape B does not. That infrastructure
was subsequently built. chat/always_on_daemon.py implements the three items
"What is NOT in Scope" excludes, each mapped to where:
- cross-process file locking -> advisory fcntl.flock(LOCK_EX|LOCK_NB) at :82,
acquired BEFORE any signal or runtime setup so a second life fails fast
- signal handling -> SIGINT/SIGTERM graceful stop at :145
- daemon synchronization -> the load-time strict-identity guard; the flag is
forced at :48 and a different-identity checkpoint is refused, so a restart
is the same life or it is nothing
Shape B remains the persistence model and the CLI default; the daemon is an
additional shape layered on it, owned by this ADR. A new ADR for a shape that
shipped six weeks earlier adds a document without adding a decision.
The stale bullet gets an INLINE pointer, not only a trailing addendum. H-8's
mechanism is that an authoritative line converts "I should check" into "I
already checked" — the reader who stops at the excluded-scope list is exactly
the reader this gap is about, and they never scroll to the end.
ADR-0252 (R-12b, option A) — the "34 organs" basis footnote.
Footnote at the first use, marking the count as underived: the reproducible
figure is 18 resolve_promotable_* organs, ALL in generate/derivation/ and none
anywhere else, with exactly 32 modules in the package as the likely origin of
"34". The diagnosis, supersession plan and §4 conformance bar are unaffected —
none depends on the count. Option B (replace every "34" with "18") rejected: it
rewrites a ratified document's prose where a note at the point of use is all
that is owed.
ADR-0252 §5 — the verdict banner. NO-GO, ratified. Criterion pre-registered at
299c92be BEFORE the run, run at 797ebad5, artifact digest b3d9d275…, with the
mechanism stated in one measured sentence: the similarity quotient that
delivers attribute-invariance is the same quotient that annihilates structural
contrast. Scope held narrow on purpose — this refutes H1 for point-position
role encodings aligned under similarity, not every Cl(4,1) representation, and
not the symbolic lane. Also records N-8 (two prior GO verdicts on unmerged
branches, both unsound) and G-21.
ADR-0252 §6 — the amendment the NO-GO forces, and the load-bearing half.
§6 retired the surface organs "until the structure-mapper proves out" and named
no replacement for the NO-GO branch. Left alone that is a live instruction that
can never fire — an authoritative-looking dead instrument, the H-9 class
exactly. Amended: the organs are RETAINED, and that is the operative state
rather than a pause in a transition; the retirement condition is re-stated as a
demonstrated replacement passing the §5 criterion, which does not exist. The
"Build (gated on §5 GO)" bullet is marked NOT AUTHORIZED with the reason.
Retiring a working organ on the strength of a hypothesis ABOUT its replacement
is backwards; the hypothesis has now been tested.
Verification — every factual claim re-derived at ca5e614e rather than copied
from the packet: 18 organs, 0 outside generate/derivation/, exactly 32 modules
(tightening the draft's "~32"); lock, signals and identity guard each cited by
line; report digest read back from the artifact file.
Three things caught before landing, recorded because this commit is about
records being wrong.
1. The date. The addendum drafted "landed 2026-06-14". This container's clone
was SHALLOW — 168 commits, roots grafted at 2026-07-19 — so git log
reported 2026-07-20, which is the shallow boundary and not a fact. Neither
figure was verifiable until the clone was deepened to 2340 commits, which
confirmed the packet: 18e25580, 2026-06-14, the same commit introducing
both the lock and the signal handling. The addendum now cites the SHA. A
date that cannot be re-derived is testimony.
2. A wrong section reference — the amendment cited §9 for a sentence in §8.
3. A misquote — "the existing reader" for "the existing 34-organ reader".
Writing a misquote into a ratified document while amending that document for
accuracy would have been this ruling's own failure mode committed inside its
own fix. Both were found by re-reading the amendment against the source it
quotes, which is standing philosophy 7.
Records closed: H-8(a), H-8(b), G-15. Track A's outstanding obligation
discharged. H-8(c)/(d) remain open on R-3 and land with PR-5.
No runtime behavior. No test changes. Two ADR files and four register/plan
files.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Wcw2pnMBwyvmNyQg4uPEt4
150 lines
21 KiB
Markdown
150 lines
21 KiB
Markdown
# ADR-0252: The CORE Problem-Solving Paradigm — Expert Structure-Mapping on a Predictive-Processing Substrate
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**Status**: **Accepted** — ratified 2026-07-19 by Joshua Shay. Consolidates and supersedes the six prior paradigm formulations (per the reader-arc recalibration, ADR-0251). Ratification adopts the paradigm (§2), the mapping (§3), and the conformance bar (§4), and authorizes the §5 experiment. It does **not** authorize the §6 build, which stays gated on §5 returning GO under a separate ruling.
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**Date**: 2026-07-19
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**Deciders**: Joshua Shay (ruling authority) + Claude (synthesis)
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**Grounding**: *"The Ontogeny of Human Cognition: From Core Knowledge to Expert Problem-Solving Paradigms"* (2026-07-19) — Spelke/Carey (core knowledge), Quine/Carey (bootstrapping), Siegler (overlapping waves), Friston (predictive processing / free energy), Gopnik (causal Bayes nets), Gentner/Forbus (structure-mapping / SME), Newell/Simon (means-ends), Gigerenzer (fast-and-frugal), Chi/Feltovich/Glaser (novice→expert; surface vs deep structure).
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**Supersedes (retire — see Section 9 / ADR-0251 archive):** semantic-substrate problem-solving master plan (2026-06-20); semantic-state-transition blueprint; semantic-symbolic binding-graph proposal; core-problem-solving-capability roadmap v2; the gsm8k-capability-paradigm sprint series (5–12). **Supersedes-in-place:** ADR-0164 (incremental comprehension reader), ADR-0174 (held-hypothesis comprehension).
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**Preserves (governing, unchanged):** the discipline layer — `wrong=0`, refuse-don't-guess, decode-don't-generate, sealed-vs-practice separation, measure-on-real-GSM8K; the solving corridor — ADR-0243 (wave-field lifecycle), ADR-0249/0250 (reader→Hamiltonian compiler); the #77/#78 foundations.
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---
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## 1. The core claim
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CORE was built as geometric / wave cognition. Cognitive science's most unifying account shows that geometric / wave cognition **is** the physical substrate of human problem-solving: perception-and-reasoning as free-energy minimization on a predictive manifold (Friston), generalization as relational structure-alignment (Gentner), founded on geometric and numerical core-knowledge primitives (Spelke/Carey). Therefore **CORE's substrate already instantiates the human problem-solving paradigm** — the founding bet is vindicated. The project's single architectural error was to build a **novice** comprehender (34† bespoke surface organs) bolted onto an **expert** substrate it never used for comprehension.
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This ADR ratifies the paradigm CORE already embodies and reorients the reader from novice (surface features) to expert (deep relational structure). It is the single governing source of truth; the six retired formulations were each a partial groping toward one of its layers.
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> † **Basis note — 2026-07-28.** The figure "34" has no reproducible derivation. The reproducible count of surface entry organs is **18** `resolve_promotable_*` functions, **all** in `generate/derivation/` and none anywhere else, at this ADR's ratification commit and re-verified unchanged at `ca5e614e`; the derivation package holds **exactly 32 modules**, which is the likeliest origin of the number. The diagnosis, the supersession plan, and the §4 conformance bar are unaffected — none of them depends on the count. Later text saying "the 34 surface organs" (§2, §6, §9) should be read as "the surface organs."
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>
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> *Ruled R-12b, option A, 2026-07-28 by Joshua Shay. Option B — replacing every "34" with "18" — was rejected: it rewrites a ratified document's prose, where recording the correction where a reader meets the number is all that is owed.*
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## 2. The paradigm — five stages and the governing law
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1. **Perceive → core primitives.** Reduce surface text to the primitives the substrate represents: quantities (the Number core-system), entities (the Object core-system), and their **relational roles** — containment / transfer / accumulation / comparison (two-argument relational predicates). Not surface-slot regexes.
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2. **Comprehend → Structure-Map (the expert move).** Build the problem's *relational structure* (a situation model as a role-predicate graph), **aggressively discard surface attributes**, and align it to the nearest known **canonical structure** by role, not resemblance, preferring systematic higher-order relations (Gentner's systematicity). Alignment is a conformal versor fit (SME).
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3. **Reconstruct → Quinian bootstrap.** When a structure isn't directly solvable, build a new canonical form by *placeholder → structural-map → inductive leap* (e.g. "twice the total" → placeholder the total, map it to the sum relation, then the doubling relation).
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4. **Solve → predictive processing / means-ends.** The canonical structure is the prior/goal; relaxation (active inference) minimizes prediction error to the ground state = the answer; organized as recursive difference-reduction toward the unknown (MEA).
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5. **Select → overlapping waves.** Hold multiple candidate structure-mappings at once; adaptively choose by difficulty; **suppress the urge to rely on superficial similarity** (Siegler's Mapping dimension); execute frugally (search / stop / decision rules).
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**Governing law:** *propose a structure-mapping → ground it in exact source spans → reconstruct if needed → relax to the answer → emit only if the precision certificate holds, else refuse.*
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## 3. The mapping — CORE already is each layer
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| Human-cognition paradigm | CORE component (already built) | Status |
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|---|---|---|
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| **Number** core-knowledge (abstract, combinable, ratio-dependent/Weber) | `core/physics/quantity_kernel.py` — magnitudes as null points; add/subtract = combinability; scale-invariant projective decode = Weber ratio-dependence | Live (eval corridor) |
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| **Space** core-knowledge (geometric layout: distance/angle/direction) | Cl(4,1) conformal geometry (`algebra/`, `core/physics/`) | Live |
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| **Predictive Processing** (free-energy / prediction-error minimization; prior; precision-weighting = attention) | `cognitive_lifecycle.relax_to_ground` on `compile_quadratic_well`; the well = the prior; `RelaxationCertificate` = precision/surprisal bound | Live (eval corridor) |
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| **Structure-Mapping Engine** (align relations, discard attributes; *far less data than deep learning*) | `core/physics/dynamic_manifold.py::conformal_procrustes` | Built, off-serving, unwired to comprehension |
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| **Relational predicates** (two-argument roles) | semantic roles — containment / transfer / accumulation / comparison ("depth-language" thesis) | Partially represented |
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| **Overlapping Waves** (ranked competing strategies; suppress surface similarity) | ADR-0174 held-hypothesis reader (ranked open interpretations) | Built, deprecated — to revive |
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| **Quinian Bootstrapping** (placeholder → structural-map → inductive leap) | reconstruction; CORE's own build of exact arithmetic on the quantity kernel is the bootstrapping case study | Latent |
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| **Novice→Expert (surface→deep structure)** | the diagnosis: the 34 `resolve_promotable_*` organs are the novice's surface piles; the substrate is the expert engine | The correction |
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| **Precision-weighting / refuse-if-unreliable** | `wrong=0`-or-refuse | Governing |
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The fit is not analogy. `relax_to_ground` *is* Friston's principle in Clifford algebra; `conformal_procrustes` *is* a Structure-Mapping Engine; the quantity kernel *is* the Number core-system. CORE is an expert substrate that has been driven by a novice reader.
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## 4. Conformance bar (how every future capability is judged)
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- **The metric IS the paradigm.** A capability earns its place only if it grasps **deep structure** — one concept subsuming a whole *family* of problems that share a relational structure (the generalization ratio > 1, the expert grouping). One-case, one-pattern additions (ratio ≈ 1) are the novice surface pile and are refused as debt.
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- **`wrong=0` is precision-weighting**, not a bolt-on: emit only when the structure is grounded and the certificate holds; otherwise refuse.
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- **Doctrine, now cognitively grounded:** Structure-Mapping is the canonical proof that powerful generalization is achievable *without statistical learning* ("far less data than deep learning"). This settles the earlier fork decisively in favor of the geometric path — no learned NLP components; SME is the expert mechanism and it is deterministic.
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## 5. The one unknown — resolved with a controlled experiment (the acceptance gate)
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> ### §5 VERDICT — **NO-GO**, ratified 2026-07-28 by Joshua Shay
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>
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> Criterion **pre-registered at `299c92be`, before the run** (that commit carries the thresholds as importable constants and no results). Run at `forgejo/main` @ `797ebad5`. Artifact `evals/structure_mapping/adr0252_s5/results/report-797ebad5.json`, `deterministic_digest` `b3d9d27592e213104c51bcace7415fd819d722a1b06f7d0a5ca65bd5a234e4ec`. Reproduce with `uv run python -m evals.structure_mapping.adr0252_s5.experiment`. Full reasoning: `docs/research/sme-experiment-verdict-797ebad5.md`.
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>
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> **H1 is refuted for the embedding class tested.** Structure-sensitivity (§5.3c) fails at *every* attribute weight swept — it is not a knife-edge on a constant. The mechanism, measured rather than argued: **the similarity quotient that delivers attribute-invariance is the same quotient that annihilates structural contrast.** An `add`-vs-`subtract` minimal pair — one entity, identical numbers, one relation kind changed — aligns at residual exactly `0.0`, its two configurations being related by a proper rotation. Sweeping the attribute weight, every regime in which the SME property survives is a regime in which attributes contribute nothing (AUC 1.00 → 0.83 → 0.69 as they begin to matter).
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>
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> **Scope, deliberately narrow.** This refutes H1 for embeddings that encode role-structure as *point positions* aligned by `conformal_procrustes` **under similarity**. The argument is about the quotient, so it generalises across that class. It does **not** refute every Cl(4,1) representation, and it does not touch the symbolic structure-mapping lane already in `evals/structure_mapping/`.
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>
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> Per §5.4, *"a well-controlled NO-GO is a full-credit result."* This is that. **The §6 build is not authorized and cannot become authorized by this experiment** — see the §6 amendment.
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>
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> *Two findings the track produced that were on nobody's list.* (1) The experiment was **already run twice, returning GO twice, on unmerged branches** — `rnd/structure-mapping-experiment` @ `fc9d0c14` leaked the structure label into the embedding; `rnd/sme-experiment-v2` @ `96e5f468` counted a solver exception as a distance (`except ValueError: res = 1000.0`) and passed mixed versor/point sequences to the field-conjugacy branch, so its entire separability signal was that raise. Both are unsound and are voided by the verdict document; the plan, the gap register and this ADR had all read the same absence and called the item "unrun" for nine days (recorded as N-8 — *a branch tip is not a record*). (2) The math reader decides **5 of 500** `holdout_dev/v1` cases (1.0%), all carrying one relational skeleton, which is why §5.1's four-structure corpus was not extractable and is registered as **G-21**.
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The paradigm is correct in principle. Exactly one empirical claim is load-bearing and unproven: **can CORE's Cl(4,1) geometry carry a problem's relational structure faithfully enough that `conformal_procrustes` (the SME) aligns same-deep-structure problems and separates different-structure ones — driven by *relations*, invariant to *surface attributes*?** If yes, Structure-Map (stage 2) is buildable on the existing substrate. If no, stage 2 needs a different representation, and we learn that cheaply.
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Mastery here means isolating the exact SME property with **controls**, not eyeballing residuals.
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**Hypothesis H1.** There exists a principled embedding of a problem's role-predicate structure into Cl(4,1) point-configurations such that conformal-Procrustes alignment residual is (a) low within a deep structure, (b) high across deep structures, (c) **invariant to surface-attribute change**, and (d) **sensitive to structure change**.
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**Design.**
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1. **Structure-labeled corpus.** Group problems by *known relational structure* (the role-predicate skeleton), each with multiple surface realizations. Minimum four structures with clean labels — e.g. S1 compare-multiplicative-then-total (the 0148 family), S2 transfer-then-query, S3 rate-application, S4 additive-comparison-then-total. Draw real cases from `holdout_dev/v1`; add controlled synthetic surface-variants only where needed for clean labels (marked as such).
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2. **Relational embedding (the crux — derive from the paradigm, do not improvise).** Map a problem's structure to a geometric configuration: entities/quantities → conformal points (via `quantity_kernel` / `VocabManifold`); each role-relation (contain/transfer/compare/rate) → a geometric relation between its argument points. The configuration must encode **role-structure** (who plays which role in which relation), never surface words or literal values. State the scheme explicitly.
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3. **The three decisive measurements**:
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- **(a) Separability** — within-structure `procrustes_residual` ≪ cross-structure, reported as a margin / ROC with a classifying threshold, not just means.
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- **(b) Attribute-invariance (the SME signature)** — hold structure fixed; rename entities, change numbers, swap synonyms → residual must stay low. If it moves with attributes, the embedding is novice/surface → **fail**.
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- **(c) Structure-sensitivity** — hold surface lexically similar; change the relational structure (e.g. a compare vs a transfer with near-identical words) → residual must jump. Proves alignment is driven by structure, not lexical overlap.
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- **(d) Systematicity** — chained/higher-order structures (A=2B, B=2C) align with same-chain problems.
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4. **Verdict.** **GO** iff (a) separable with margin AND (b) attribute-invariant AND (c) structure-sensitive — the geometry carries relational structure the SME way. **NO-GO** if alignment tracks surface/attributes or fails to separate — which cleanly refutes geometric SME for comprehension and redirects stage 2 to a different representation. A well-controlled NO-GO is a full-credit result.
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5. **If GO**, estimate the compression: how many holdout families collapse to how few canonical structures (the generalization ratio the expert grouping buys).
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6. **Discipline.** Off-serving; `holdout_dev/v1` only; sealed test untouched; `wrong=0` not yet in play (no answers are emitted — this measures structure alignment); verify-don't-claim (every number backed by a command); honest NO-GO welcomed; STOP before productionizing.
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## 6. What changes in code
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- **Keep, recognized as paradigm layers:** `quantity_kernel` (Number), `cognitive_lifecycle/relax_to_ground` (predictive-processing inference), `conformal_procrustes` (SME), the corridor (`turn_program`/`multi_register` = solve), the certificate + `wrong=0` (precision gate).
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- **Build (the missing expert-comprehension layer, gated on §5 GO):** a Structure-Map path — a role-predicate relational representation, a small library of canonical structures (base domains), and mapping a novel problem to the nearest canonical via `conformal_procrustes`. — **NOT AUTHORIZED. §5 returned NO-GO on 2026-07-28.** This bullet stands as the record of what a GO would have authorized. Stage 2 needs a different representation, and finding one is not scoped by this ADR.
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- **Represent relationally:** treat `MathProblemGraph` (or a layer above it) as a graph of two-argument role predicates, not surface slots.
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- **Revive + reframe:** ADR-0174's held-hypothesis reader as the overlapping-waves candidate-mapping selector.
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- **Supersede, verification-gated, over time:** the surface organs† — kept serving until a structure-mapper proves out, then retired. — **AMENDED 2026-07-28 on the §5 NO-GO; see below.**
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> ### §6 amendment — the retirement condition, on a NO-GO
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>
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> *Ratified 2026-07-28 by Joshua Shay, together with the §5 verdict.*
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>
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> As written, this bullet retires the surface organs on the strength of a replacement that **§5 has now tested and refuted**, and it names no replacement for the NO-GO branch. Left alone it would be a live instruction that can never fire — an authoritative-looking dead instrument, which is the exact failure class catalogued as H-9 in `docs/assessment/31-hindrance-audit.md`.
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>
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> **The surface organs are RETAINED. That is the operative state, not a pause in a transition.** The retirement condition is re-stated as: *a demonstrated replacement that passes the §5 criterion.* No such replacement exists, none is proposed by this ADR, and the one hypothesis that was proposed has been falsified for its embedding class.
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>
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> Retiring a working organ on the strength of a *hypothesis about* its replacement is backwards. The hypothesis has now been tested. This amendment records that the pre-condition failed, so that no later reader mistakes "verification-gated supersession" for a decision already taken and merely awaiting execution.
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>
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> *This changes no decision made at ratification. §8's ruling record already states: "The existing 34-organ† reader keeps serving until a proven replacement exists — nothing is torn out on ratification." The amendment makes the NO-GO branch of that same commitment explicit, because the §6 bullet carrying the condition read as though the replacement were coming.*
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## 7. Non-goals
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No Smith-chart algebra (ADR-0246 §6); no Fibonacci "dimensional cascade" (not in the repo); no learned / statistical / LLM components — SME generalizes without them, which is the entire point. This ADR authorizes no serving change; §6 "Build" is gated on the §5 experiment returning GO, under its own ruling.
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## 8. Ruling record (Shay)
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**RATIFIED — 2026-07-19, Joshua Shay (ruling authority).**
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1. **Adopted.** This ADR is the single governing problem-solving paradigm for CORE. The paradigm (§2), the CORE-component mapping (§3), and the conformance bar (§4) are in force. Every future capability is judged by the §4 metric: it earns its place only if it grasps a deep relational structure that subsumes a *family* of problems (generalization ratio > 1). One-case surface additions are debt and are refused.
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2. **Retired.** The six prior paradigm formulations named in the front-matter are retired; ADR-0164 and ADR-0174 are superseded-in-place. ADR-0251 (recalibration) archives them. No competing paradigm doc remains authoritative.
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3. **Preserved (unchanged, still governing).** The discipline layer (`wrong=0`, refuse-don't-guess, decode-don't-generate, sealed-vs-practice separation, measure-on-real-GSM8K); the solving corridor (ADR-0243 wave-field lifecycle, ADR-0249/0250 reader→Hamiltonian compiler); the #77/#78 foundations. The existing 34-organ reader keeps serving until a proven replacement exists — nothing is torn out on ratification.
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4. **Authorized.** The §5 controlled structure-mapping experiment is authorized to run: off-serving, `holdout_dev/v1` only, sealed test untouched, verify-don't-claim, a well-controlled NO-GO welcomed as full-credit. Its verdict (GO iff separable-with-margin AND attribute-invariant AND structure-sensitive) is the acceptance gate for §6.
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5. **NOT authorized.** The §6 build (the structure-map comprehension layer and any serving change) is **not** authorized by this ratification. It is gated on §5 returning GO and will be ruled on separately, on the evidence. No serving behavior changes today.
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_Ratification adopts the paradigm and the experiment; it does not pre-commit the build. The geometry must earn stage 2 empirically._
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---
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## 9. Retirement Record — six unratified paradigm documents
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This section records the retirement and archiving of the six competing, unratified paradigm formulations consolidated under this decision:
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1. **Semantic-substrate master plan** —
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`docs/analysis/semantic-substrate-problem-solving-master-plan-2026-06-20.md`
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2. **Semantic state-transition blueprint** —
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`docs/handoffs/SEMANTIC-STATE-TRANSITION-BLUEPRINT.md`
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3. **Semantic/symbolic binding-graph proposal** —
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`docs/implementation/semantic-symbolic-binding-graph-proposal.md`
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4. **Problem-solving capability roadmap v2** —
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`docs/analysis/core-problem-solving-capability-roadmap-v2-2026-06-17.md`
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5. **GSM8K capability-paradigm sprint lookbacks** (sprints 5–12 lookbacks) —
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`docs/analysis/gsm8k-capability-paradigm-sprint{5,6,7,8,9,10,11,12}-lookback-2026-06-17.md`
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6. **ADR-0174's deprecated in-ADR dispatch prescription** — the per-category injector dispatch table and legacy-regex-parser fallback (superseded-in-place).
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### Archiving and Status Heuristics
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All files corresponding to formulations 1–5 have been moved to `docs/paradigm-archive/` with a `SUPERSEDED` warning header prepended to indicate they are historical and carry no governance weight.
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ADR-0164 and ADR-0174 have received a `**Superseded-by:** ADR-0252` header annotation and remain Accepted in-place as permanent records.
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