revmath

name	revmath
description	Discover and run the reasoning/revmath profile — reverse-mathematics / computability analysis over existing campaign, formal-preflight, evidence, and repair owners. Use when editing revmath schemas, fixtures, labeling, self-healing, four-axis ledgers, or agent/docs parity for SLM reverse math.

Reverse mathematics (reasoning/revmath)

Use this skill for discoverability and honest fixture runs of the typed reasoning/revmath profile. Do not create a parallel trainer, campaign store, evidence store, proof stack, or version registry.

Canonical owners (one per concept)

Concern	Owner
Design + ADR	docs/design/reverse-mathematics-computability.md, docs/design/adr-revmath-reasoning-profile.md
Machine owner map	src/slm_training/resources/revmath_owner_map.json · python -m scripts.verify_revmath_owners
Harness parity / self-healing freeze	src/slm_training/resources/revmath_harness_parity.json · python -m scripts.verify_revmath_harness_parity
Profile registration	src/slm_training/harnesses/reasoning/profiles.py (reasoning/revmath, default stays reasoning/g4)
Task schemas	src/slm_training/harnesses/reasoning/revmath/schemas.py (RevmathTaskV1, …)
Runner / plugins / report	harnesses/reasoning/revmath/{runner,plugins,report,replay}.py
Campaign lock	profile_binding.py + ExperimentCampaignV1
Practical computability vocabulary	formal/computability_classification.py (KERN-12)
Version registry	src/slm_training/resources/versions.json only

Full table: design doc + owner map. Agent-law matrix: python -m scripts.verify_agent_surfaces.

Practical vs genuine RM

• practical_computability_only / KERN-12 classes — engineering labels.
• Genuine Big-Five (RCA0 / WKL0 / … as reversed_equivalent) — only with an explicit interpretation package (base theory, coding, both evidence digests, explicit_reversal or explicit_interpretation). Ablation alone is rm_inspired_assumption_minimization, never genuine RM.

Exact-refutation authority

Refutation requires an independently checked finite model / computable trace against the exact weakened proposition. Timeout, missing tool, incomplete domain, search failure, and skipped replay stay unknown — never semantic refutation (KERN-01).

Fixture run (hermetic; no Lean required)

PYTHONPATH=src uv run python -m scripts.run_revmath_task \
  --task src/slm_training/resources/revmath/fixtures/hermetic_forward_theorem.task.json \
  --hermetic --output-dir outputs/revmath/hermetic

PYTHONPATH=src uv run python -m scripts.run_revmath_profile \
  --task src/slm_training/resources/revmath/fixtures/ablation_necessary.task.json \
  --materialize-fixture --campaign-id camp.rm.hermetic \
  --experiment-id exp.rm.hermetic.profile \
  --store-root outputs/revmath/profile_runs --hermetic

Examples index: src/slm_training/resources/revmath/examples/README.md. Current schemas only (revmath_task/v1, …). No retired write path.

Optional external solvers / checkers

Lean, alternate provers, and third-party checkers are experiments, not prerequisites. Default hermetic fixtures certify wiring without them. Enabling an external tool never upgrades fixture/diagnostic evidence to production ship authority.

Self-healing + promotion

• May modify only HARN-09 knobs inside the locked budget (may_modify in the parity resource).
• Must freeze proposition, assumptions, direction, corpus, arms, budgets, judges, gates, authority policy.
• Promotion stays on ExperimentCampaignV1 + ensure_promote_formal_preflight / honest --ship-gates. Revmath reports are decision support, not silent promote authority.

Checks

PYTHONPATH=src uv run python -m scripts.verify_revmath_owners
PYTHONPATH=src uv run python -m scripts.verify_revmath_harness_parity
PYTHONPATH=src uv run python -m scripts.verify_agent_surfaces --obligation revmath.canonical-owners