Folds in Shay's rulings on the spike: - ERRATA sections added to ADR-0249, ADR-0250, and both acceptance-evidence docs (statuses stay Accepted): corpus label 'real GSM8K dev holdout' -> 'CORE-authored GSM8K-style corpus (ADR-0119.2)'. Mechanism claims (wrong=0, PARITY, conservation, atomicity, chain-of-custody, 200/200) all stand; reframe not retraction. Covers the #74 review comment that repeated the label. (Also fixed ADR-0250 evidence status -> RATIFIED, which the ratification housekeeping missed.) - Two instruments named + never-blended scoreboard: authored = mechanism-correctness (200/200 stands as that); official holdout = generalization (5/500 symbolic / 0/500 corridor). public/dev-1 floors relabeled MECHANISM floors, composition-disclosed. - Censored-incidence fix: parse-INDEPENDENT tagging of 100 official cases (documented heuristic). 70/100 carry frontier markers (rate 31, fraction 28, compare_mult 20) -> (c) refuted, frontier COMMON not rare; the table is the reader-arc curriculum by real-world frequency. - Reader-practice-loop design with the four non-negotiable constraints (real held-out data only; wrong=0 gates consolidation; sealed test untouched; holdout_dev split disjoint from the measured metric). Sequencing: capability->practice->calibration-> serve; reader is the critical path for all three; serve-landing de-prioritized (0/500). Spike verdict for ruling; nothing built.
3.4 KiB
ADR-0250 — Acceptance Evidence
ERRATA (2026-07-18): "real GSM8K dev holdout" in this doc = CORE-authored GSM8K-style corpus (ADR-0119.2), the mechanism-correctness instrument — not real GSM8K. Mechanism results (wrong=0, full-holdout 50/50) stand; only the corpus label is corrected. Measured real-GSM8K reach: reader 5/500, corridor 0/500 (reader-gated). See ADR-0250 §ERRATA +
docs/research/dev2-frontier-measurement-spike-2026-07-18.md.
Status: RATIFIED — ADR-0250 Accepted 2026-07-18 by Joshua Shay
Date: 2026-07-18
ADR: docs/adr/ADR-0250-tier2-multi-entity-arithmetic.md
Design record: docs/research/tier2-multi-entity-arithmetic-spike-2026-07-18.md
Tier-2 extends the reader→Hamiltonian compiler (ADR-0249) to multi-entity arithmetic. With it,
the corridor solves the entire real GSM8K dev holdout. Built in smoke-gated phases, each
merged under its own PR off forgejo/main.
Phases merged
| Phase | PR | Merge commit | What landed |
|---|---|---|---|
| Design spike | #71 | 97b2f8b7 |
multi-register model, atomicity, chain-of-custody design; probe of the 24 refused cases |
| T2a executor | #72 | efd5335e |
evals/multi_register_program.py — multi-register + transfers + conservation; 18/18 single-entity |
| 2b summation | #73 | 3c3dcdbe |
certified summation turn + operand_source_digest; full holdout 50/50 |
| Instrument + ADR | this PR | — | arithmetic-chain domain routes Tier-2; ADR-0250 + this evidence |
Smoke (uv run core test --suite smoke -q) green at every phase (176 passed).
Load-bearing result
Real GSM8K dev holdout (sealed, 50 cases):
| Tier | Cases | Corridor |
|---|---|---|
| Tier-1 single-accumulator (ADR-0249) | 26 | correct, wrong=0 |
| T2a single-entity multi-register | 18 | correct, wrong=0 |
| 2b certified summation ("altogether") | 6 | correct, wrong=0 |
| Total | 50 / 50 | wrong = 0 |
Corridor vs symbolic fold of the same compiled program: PARITY (delta 0) — the field matches
arithmetic, it does not beat it. The instrument's arithmetic-chain domain now records 50/50
coverage, 0 refused.
Verified in-tree
- Transfer conservation + per-register exactness: Ruth 36→31, Sara 19→24, sum conserved; 200 random transfers exact + conserving to ~6e-11.
- Relative conservation pin:
gma-050(chains to 222) tripped an absolute 1e-6 tolerance; the relative check|Δ| ≤ rtol·max(1,|before|)fixes it and still catches real violations. - Chain of custody: summation records carry
operand_source_digest; tamper on any non-terminal record breaks the successor link (verify_multi_register_chain).
Design decisions applied (honest register)
- Atomicity via immutability: prepare→validate→commit; no partial-mutation window, no rollback.
- Summation stays in the substrate (ruling #1): each addition is a certified turn, never a
Python
sum(); the total is grounded inRelaxationCertificates. - The summation signal is the typed
unknown.entity is None, not an inferred op pattern.
What remains open (not claimed here)
- Derived-operand transfers ("half of X") — designed + guarded, 0 on this holdout.
- Non-affine kinds (rate/comparison/fraction/partition) — 0 on this holdout, refused.
-
5-atom deduction via ROBDD-partitioned turn programs — future arc.
- ADR-0246 §3.7 admission-policy calibration — unchanged; no gate activated.