S.4 extends initial-state parsing with two closed subject-slot widenings:
- Indefinite-article: `A <noun> has N <unit>` (gsm8k-0046 sentence 1)
- Prepositional-prefix existential: `In a <place>, there are N <unit>...`
(gsm8k-0038 sentence 1)
Design choice: sibling regexes (_INITIAL_HAS_INDEF_RE,
_INITIAL_THERE_ARE_PREFIX_RE) rather than widening the global _ENTITY
pattern — preserves existing behavior across all other initial-state
extractors (cascade-safety).
Per the S.x corridor discipline: no new short-circuit; new candidates
flow through extract_initial_candidates and the existing graph machinery.
No solver/graph/verifier changes.
Honest delta:
- Direct admissions: 0 (admission set unchanged at {0014, 0018, 0042})
- Barrier shifts: +2 (gsm8k-0038: novel_initial_form → compound_comparative;
gsm8k-0046: novel_initial_form → fraction_operand)
- wrong == 0 on every lane
Bundled with this PR for ledger currency:
1. tests/test_rescan_v3_invariants.py refactored to read frozen on-disk
v3 artifacts only (no more re-running build_rescan against live
parser). The previous design tied a historical snapshot to live code
and broke the moment any new phase landed.
2. rescan_v4.py + refusal_rescan_v4.json + refusal_taxonomy_v4.json +
tests/test_rescan_v4_invariants.py — the current live snapshot.
Shifts: exactly 2 (0038, 0046). Same pattern as v3.
Sonnet wrote: S.4 parser/axis-lane/tests/ADR.
Opus wrote: rescan_v4.py + v3 test refactor + bundling.
Files:
- generate/math_candidate_parser.py (+142 lines)
- evals/math_capability_axes/S4_novel_initial_form/v1/ (20-case lane)
- tests/test_adr_0136_S4_novel_initial_form.py (40 tests)
- docs/decisions/ADR-0136.S.4-novel-initial-form.md
- evals/gsm8k_math/train_sample/v1/{rescan_v4.py, *_v4.json}
- tests/test_rescan_v4_invariants.py (8 tests)
- tests/test_rescan_v3_invariants.py (refactored to artifact-only)
Rebases onto current main (dec98ea, post-G.1/G.3.1/G.4/promotion).
Parser:
- Extend _COMPARE_MULT_ANCHOR_RE anchor alternation to include 'quarter'
and 'third'; add optional 'a\s+' article prefix so "a quarter as many"
and "a third as many" parse. Both anchors are in COMPARE_MULTIPLICATIVE_ANCHORS
and the round-trip factor-divisor table ("quarter":4, "third":3), so
round-trip checks pass. quarter→0.25 (exact), third→1/3 (float).
- Add _ANCHOR_TO_FACTOR entries for quarter and third.
Gate regex (test_adr_0131_G2_comparatives.py):
- Widen _COMPARATIVE_STATEMENT_PATTERNS multiplicative pattern from
'\d+\s+times' to '\w+\s+times' to match word-number forms ("four times")
that would be missed by the digit-only pattern if a future GSM8K case
contains one in a still-refused statement.
Cases (31 total, was 24):
- G2-mul-frac-005/006: two 'quarter' cases (fraction direction now has
half×4 + quarter×2 + third×1 = 7 cases, was 4 all-half).
- G2-mul-frac-007: 'third' case.
- G2-refuse-006: hyphenated 'one-third' pins the closed-anchor boundary.
- G2-refuse-007: 'double as many' pins the deferred grammar shape.
Tests (25, was 21):
- Add quarter and third parametric entries to test_multiplicative_direction_admits.
- Add one-third and double-as-many refusal params to test_refusal_cases.
- Add quarter/third to test_direction_literals_closed_set.
- Update test_runner_per_category_minima comment to reflect new counts.
ADR: document quarter/third admission, updated case table, deferred list.
report.json: refreshed to 31 cases, wrong==0 preserved.
Cognitive capability: extend bounded grammar to admit acquisition/action
verbs (buys, bought, collected, saved, saved-up, makes, sells) as
operation-kind entries, and pure-possession verbs (had, started, started-with)
as initial-possession anchors.
What invariant proves correctness:
- wrong == 0 across all G1 curated cases (20/20) and GSM8K probe (0 wrong/50).
- versor_condition and field invariants untouched — no algebra-path changes.
- Round-trip filter (math_roundtrip.roundtrip_admissible) unchanged.
Which CLI suite / eval proves the lane:
pytest tests/test_adr_0131_G1_verb_classes.py — 15/15 pass
pytest tests/test_adr_0126_runner_wiring.py — 9/9 pass (3 regressions fixed)
pytest tests/test_adr_0131_{1,3}_*lane.py — 17/17 pass
pytest tests/test_adr_0131_G_gsm8k_coverage_probe.py — 8/8 pass
pytest tests/test_gsm8k_math_runner.py — 11/11 pass
Key architectural change:
Acquisition verbs that also appear in ADD_VERBS/SUBTRACT_VERBS were
previously listed in _INITIAL_HAS_RE, causing branch-disagreement refusals
when a canonical 'has' initial preceded an acquisition sentence for the
same entity. Fix: narrow _INITIAL_HAS_RE to pure-possession anchors only
(has/have/had/started); acquisition verbs remain exclusively in KIND_TO_VERBS.
The solver's default-from-zero means 'Sam buys 5 apples. How many does
Sam have?' resolves as 0+5=5 without any initial-possession candidate.
Optional verb particle (up/down/out/...) added to _op_pattern to handle
'saved up N', 'picked up N' etc.
No changes to binding graph, solver, verifier, or versor/CGA algebra.
No stochastic generation, approximate recall, or hidden normalization.
Trust boundaries unaffected — no new dynamic imports or user-input paths.
Four axes deferred from ADR-0131.G.3 (PR #183):
1. Fractions end-to-end: new _INITIAL_FRACTION_OF_RE extractor handles
`N/M of [a/an] <unit>` shape; _resolve_value already handles N/M arithmetic.
2. Multi-currency: _MONEY_SYMBOL widened to six symbols; _CURRENCY_SYMBOLS table
+ _resolve_currency dispatcher; ¢/€/¥/₱ wired end-to-end. £/pound sterling
deferred to G.3.2 (question extractor's single-token unit slot cannot parse
two-word surface "pounds sterling").
3. Multi-token cardinals: dedicated _MULTI_WORD_CARDINAL_RE extractor (approach a)
delegates to parse_compound_cardinal; avoids greedy unit-slot boundary ambiguity
from widening _VALUE.
4. Word-num-adjective: optional adjective group added to _INITIAL_HAS_RE and
_MULTI_WORD_CARDINAL_RE; closed adjective list identical to _CONJ_OBJECT_RE.
Also fixes six pre-existing G4 type bugs where _resolve_value() result was used
directly as a numeric operand (TypeError: _ResolvedValue is not a number).
Axis lane v1_1: 20/20 solved_correct, 0 wrong, 8/8 refusals, overall_pass=True.
GSM8K probe: 0/50 admission_rate unchanged, admitted_wrong=0 (safety rail intact).
42/42 new tests pass; parent v1 lane (26/26) unaffected.
Highest-risk axis of the ADR-0131.G capability iteration: within-
sentence multi-clause composition. Four extractors land in the
candidate-emitting parser; no graph-side or solver changes.
Parser extension (generate/math_candidate_parser.py)
- _conj_subject_each_candidates: '<A> and [his/her/their <kin>] <B>
each <verb> <N> <unit>' → 2 CandidateInitial (one per actor).
- _conj_object_candidates: '<E> has <N1> <unit1> and <N2> <unit2>' →
2 CandidateInitial for the same entity; same-unit conjuncts refuse
(would silently collide under solver overwrite-on-collision).
- _embedded_quantifier_candidates: '<E> has <N> <container> with <M>
<unit> in each [<container>]' → 1 derived CandidateInitial
(value=N*M).
- _embedded_quantifier_candidates (conj branch): '... <N1> <C> with
<M1> <U> in each ... and <N2> <C> with <M2> <U> in each ...' → 1
SUM CandidateInitial (value=N1*M1+N2*M2); mixed-unit refuses.
- CandidateInitial anchor whitelist widened to include
saved/earned/got/received/bought/made/paid (and inflections) —
narrow widening needed for the conjoined-subject-each shape.
Closed-set discipline
- Distributive 'each' only — 'each ... together/altogether' refuses.
- Two-way conjunction only — 3-way refuses by non-match.
- Cross-sentence coreference stays refused (within-sentence axis).
- Ambiguous 'each' scope refuses (container2 must agree).
Curated axis lane (32 cases)
- evals/math_capability_axes/G4_multi_clause/v1/cases.jsonl:
conj_subject_each ×6, conj_object ×6, embedded_quantifier ×6,
conj_embedded ×6, refusal ×8.
- evals/math_capability_axes/G4_multi_clause/v1/runner.py +
report.json: deterministic; wrong==0 gate; byte-equal across runs.
Tests (26 new)
- tests/test_adr_0131_G4_multi_clause.py: per-shape emission,
refusal probes (parametric), distributive-only policy,
cross-sentence refusal, runner byte-equality, GSM8K-probe gate.
GSM8K-probe gate (chosen: multi-clause refusals ↓)
- evals/gsm8k_math/train_sample/v1/report.json (candidate-graph
probe): multi-clause statement-refusal count 2 → 1. Case 0042
('Ella has 4 bags with 20 apples in each bag and six bags with 25
apples in each bag.') moves from statement-clause refusal to
question-layer refusal. Case 0026 ('Aaron and his brother Carson
each saved up $40') stays refused on the '$' value slot
(deferred to G.3 numeric-literals axis).
- evals/gsm8k_math/train_sample/v1/train_sample_coverage_report.json
(legacy probe): refreshed, byte-identical (legacy parser
untouched).
B3 + candidate-graph + GSM8K probe lanes all pass (95/95
regression). wrong==0 preserved everywhere — load-bearing for the
highest-risk axis.
First capability-axis iteration after ADR-0131.G baseline. Extends the
candidate-graph parser's <value> slot to recognize:
- Money symbol literals: $N and $N.NN (1-2 decimals); $N.NNN refused
- Money word forms: N dollars / N cents
- Hyphenated multi-word cardinals: twenty-five, ninety-nine, ...
All money values normalize to integer cents, unit 'cents' — pack-aligned
with en_units_v1's canonical_unit='cent' for the money dimension.
en_numerics_v1's parse_compound_cardinal handles hyphenated cardinals.
Parser changes (generate/):
- math_candidate_parser.py: _VALUE alternation widened; _resolve_value
refactored to return _ResolvedValue|None carrying optional unit
override; _INITIAL_HAS_RE unit slot made optional; dollar/dollars →
cents normalization at candidate build.
- math_roundtrip.py: new _unit_grounds helper (money-aware); _value_grounds
widened for the three new literal shapes; roundtrip_admissible uses
_unit_grounds for the unit check.
- math_candidate_graph.py: _initial_admissible and _question_admissible
use _unit_grounds.
New axis lane (evals/math_capability_axes/G3_numerics/v1/):
- 26 curated cases (20 positive across 4 classes + 6 refusal probes)
- runner.py wraps _score_one_candidate_graph; byte-equal report.json
- 20/20 positive solved correct; 6/6 refusal probes refused typed;
solved_wrong == 0; overall_pass == True
Tests: 27/27 in 0.19s. 420 existing candidate-parser/math-parser/pack
tests still green. GSM8K probe safety rail (admitted_wrong == 0)
preserved.
Honest scope-limit (documented in ADR): admission_rate on the GSM8K
probe stays at 0/50 because (a) the probe currently consults the legacy
parser path, not the candidate-graph pipeline G.3 extends, and (b) most
money-bearing GSM8K cases fail first on verb (G.1) or multi-clause (G.4)
shape, not on the money literal. The axis lane is the load-bearing
measurement for this iteration. Reserved follow-up: a small probe-
infra ADR to switch run_coverage_probe.py to the candidate-graph
pipeline.
Out of scope, deferred to G.3.1: fractions end-to-end (resolver supports
N/M but no axis cases), multi-currency (¢ € £ ¥ ₱), space-separated
multi-word cardinals (one hundred), word-number-adjective compositions
(five full boxes).
Wire compare_additive / compare_multiplicative extractors into the
candidate-emitting sentence parser, closing the deferred phase flagged
at generate/math_candidate_parser.py:30.
Capability axis: comparatives (additive + multiplicative)
- generate/math_candidate_parser.py: new _compare_additive_candidates,
_compare_multiplicative_candidates, _compare_nested_candidates
emitting CandidateOperation records keyed to the four
Comparison.direction literals registered in ADR-0123.
- Closed-set anchor alternation; 'less' admitted as surface synonym of
'fewer'; reference slot widened to admit "the number/amount of <unit>"
for nested forms.
- Nested 'A has N more <unit> than M times <REF>' emits two flat
candidates (additive + multiplicative); binding-graph picks the
admissible composition or refuses (no solver stub).
Curated axis lane (24 cases)
- evals/math_capability_axes/G2_comparatives/v1/cases.jsonl:
8 additive / 8 multiplicative / 3 nested / 5 refusal
- evals/math_capability_axes/G2_comparatives/v1/runner.py +
report.json: deterministic, wrong==0 gate, byte-equal across runs.
Tests (21 new)
- tests/test_adr_0131_G2_comparatives.py: per-direction at-least-one
passing, nested-both-emitted, closed-set refusal, runner
byte-equality, GSM8K-probe gate (comparative-clause refusals
strictly decrease).
GSM8K-probe gate (chosen: comparative-clause refusals ↓)
- evals/gsm8k_math/train_sample/v1/report.json (candidate-graph
probe): comparative-clause refusal count 2 → 1 (case 0009 'Jen has
10 more ducks than four times the number of chickens' moves from
statement-clause refusal to question-layer refusal). admitted_wrong
remains 0; admission_rate unchanged (downstream composition is a
follow-up ADR).
- evals/gsm8k_math/train_sample/v1/train_sample_coverage_report.json
(legacy probe): refreshed, byte-identical (legacy parser untouched).
B3 + candidate-graph + GSM8K probe lanes all pass (90/90). Direction
vocab stays closed to {more, fewer, times, fraction}; wrong==0
preserved everywhere.
