core/docs/analysis/relational-operator-ablation-cartography-2026-07-19.md

Relational Operator Ablation — Cartography Ledger & Go/No-Go

Date: 2026-07-19
Branch: feat/deterministic-relational-operator-ablation
Worktree: ../core-relational-operator-ablation
Authority commit: d8d62b8e (main tip at branch creation)
Status: Evidence ledger for Phase 1–2; implementation of the narrow GO slice is companion code under generate/relational_operator_ablation.py and evals/relational_operator_ablation/.

Related: HE/GRC broader capability is not authorized by this ledger. See docs/analysis/hebrew-koine-greek-logos-pack-capability-roadmap-2026-07-19.md (verdict: READY ONLY FOR PREREQUISITE WIRING OR MIGRATION).

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1. Executive decision (closed)

Verdict for this work product: IMPLEMENTED AND MEASURED (narrow slice only).

Scope	Decision
Full hypothesis: ancient morphology automatically improves GSM8K arithmetic	NO-GO (scientific precondition: no valid English→depth mapping; anti-circularity)
Narrow fraction_decrease relational-operator ablation	GO — family already LIVE with ProblemFrame + VersorBinding + A2k
Depth as executable math contribution on English word problems	NO-GO for implementation of new mapping — metadata-only control proves inert

Relation family chosen from live evidence: proportional_change.decrease_to_fraction / organ fraction_decrease
(generate/construction_affordances.py _SERVING_AUTHORIZED_FAMILIES; generate/derivation/fraction_decrease.py; Gate A2k in generate/math_candidate_graph.py).

Decision criteria checklist

Criterion	Pass/Fail	Evidence
Canonical relation seam exists	Pass	BoundRelation(relation_type="decrease_to_fraction"), roles via problem_frame_bound_relations
Deterministic reconstructable operator	Pass	VersorBinding + CGA dilation; same text → same answer
Correction/readback or native integrity	Pass (native)	Self-verify + span provenance + versor_condition < 1e-6; no fabricated dual-adjoint
Testable eval lane	Pass	Sealed evals/relational_operator_ablation/v1 + existing train_sample organ tests
Baseline vs operator vs depth vs metadata-only	Pass	Ablation conditions in harness
Fail-closed	Pass	Missing/ambiguous/hazard → refuse
Narrow non-claim scope	Pass	No full GSM8K claim; no EN→HE/GRC translation

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2. Live-path maps

A. Text/chat — LIVE (not math serving)

text → CognitiveTurnPipeline.run (core/cognition/pipeline.py)
     → tokenize / resolve_token_depths (chat/pack_resolver.py)
     → recognize (recognition/anti_unifier.py; root-canonical for he/grc)
     → ChatRuntime.chat (chat/runtime.py)
     → ingest.gate → FieldState
     → PropositionGraph (generate/graph_planner.py)
     → realizer / gates / refusal
     → CognitiveTurnResult.node_depths

contract_assessment=None at resolve_surface — ProblemFrame DISCONNECTED from chat spine.

B. Language packs — dual layer

Layer	Path	Status
Source ADR-0005	packs/{en,he,grc,el}/ status=draft, gates false	DRAFT / DISCONNECTED from compiler
Compiled	packs/data/* → packs.compiler.load_pack → _apply_morphology	LIVE
Depth IDs	DEPTH_PACK_IDS = he_core_cognition_v1, he_logos_micro_v1, grc_logos_*	LIVE

C. Problem-frame / math

text → build_problem_frame (generate/problem_frame_builder.py)  [DIAGNOSTIC IR + A2k input]
     → proposals / BoundRelation / BoundQuestionTarget
     → assess_fraction_decrease / assess_geometric_proposals
     → VersorBinding dilation
     → resolve_promotable_fraction_decrease (generate/derivation/fraction_decrease.py)
     → answer  [LIVE Gate A2k]

parse_and_solve (generate/math_candidate_graph.py)  [LIVE GSM8K serving orchestrator]

Family	serving_allowed	Status
fraction_decrease	True	LIVE A2k
percent_partition	False catalog; live prose A2l	LIVE but DISCONNECTED from frame
quantity_entity	False	DIAGNOSTIC
unary_delta	False	DIAGNOSTIC (no derivation organ)

D. Evaluation

Split	N	correct / wrong / refused	Scorer
Sealed GSM8K test (recorded)	1319	0 / 0 / 1319	operator-only holdout
train_sample report.json	50	30 / 0 / 20	_score_one_candidate_graph
holdout_dev report.json	500	5 / 0 / 495	same
CORE public synthetic	150	150 / 0 / 0	classic _score_one

Note: Order is always correct / wrong / refused. Prior prose that wrote 30/20/0 swapped wrong/refused.

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3. Design truth matrix

Claim	Spec	Implementation	Runtime	Tests	Status
Hebrew root morphology	ADR-0015	MorphologyEntry.root; _apply_morphology	LIVE manifold + resolver	test_morphology_registry, holonomy	LIVE (sparse)
Hebrew binyan	ADR-0005	Inflection tag only	geometric tag	sparse data	Partial
Greek case/aspect/voice	ADR-0015	Compiled inflection tags	LIVE tags	morphology_registry	Partial
Anchor lens	pack inventory	packs/anchor_lens/	LIVE overlay	inventory	LIVE
PropGraph / depth	3lang plan	depth_canonical, pipeline	LIVE he/grc input	test_3lang_depth_capability	LIVE spine
Depth → math answer	—	enrich_assessments_with_depth explanation only	decoration	same	Inert on math
Canonical math roles	kernel substrate	BoundRelation roles	A2k + diagnostic	problem_frame tests	LIVE fraction
VersorBinding	CGA construction boundary	dilation payload	LIVE A2k	fraction + 3lang tests	LIVE
Readback / integrity	organ self-verify	spans + verified derivation	LIVE	fraction_decrease	Partial (native)
GSM8K eval	ADR-0119+	train_sample/holdout/sealed	LIVE open	runners	LIVE
serving_allowed all False	prior claim	one True family	—	construction_affordances	Contradicted
FGL	prior claim	—	—	—	ABSENT
ADR-0248 as Logos	prior claim	integrity handoffs	observe-only	ring3	Miscited
ADR-0196 ancient packs	prior claim	Python/Rust/Zig	—	ADR text	False
EN GSM8K → GRC case / HE binyan	prior claim	—	—	—	ABSENT

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4. Claim corrections (prior synthesis)

1. EN/HE/GRC roles — Partially confirmed (ADRs + LIVE compiled packs; source packs draft).
2. ADR-0005/0015 — Confirmed as architecture; implementation is packs/data compiler path.
3. packs/he, packs/grc draft + compiler — Confirmed split: draft source vs LIVE compiled.
4. Ordered morph composition — Confirmed LIVE+tested in packs/compiler._apply_morphology.
5. depth_canonical / enrich — Confirmed; enrich is decoration; recognize is matching.
6. ProblemFrame symbols — Confirmed under generate/.
7. All serving_allowed=False — False; fraction_decrease is True.
8. No EN→case/binyan math path — Confirmed absent.
9. GSM8K all refused — Sealed test 0/0/1319 recorded; train_sample 30/0/20; holdout_dev 5/0/495. claims_ledger C 7/43/0 is stale.
10. FGL / ADR-0248 Logos — FGL absent; ADR-0248 = integrity handoffs.
11. ADR-0196 — Python/Rust/Zig, not ancient packs.

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5. Implementation plan (narrow GO)

1. Pure condition runners: baseline scalar from frame roles; operator geometric; metadata-only depth; invalid refuse.
2. No new depth→role mapping from English.
3. Sealed fixture v1 (fraction_decrease + confusers).
4. Measurement report + tests.
5. Smoke gate.

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6. Remaining gaps (not in this slice)

• Engineering: wire ProblemFrame into CognitiveTurnPipeline (optional future).
• Engineering: unify percent_partition prose organ with frame contracts.
• Scientific: whether observed he/grc morphology can constrain math on bilingual inputs (unproven; not this PR).
• Rejected: inventing Greek cases for English GSM8K.
• Deferred: expanding draft packs/he|grc gates.