r1-07 now reads setup-correct and answers 6 — 'Nia has 9 more beads than Omar. Nia has 15. -> Omar = 6'. The reader binds the unknown base's unit FROM the relation when its subject is a known fact and its referent is the otherwise-ungrounded query target, so the equation is admissible; the answer oracle reverse-solves it (PR-7a). Bounded: single base == query target (no chains), known subject value, base not otherwise grounded, <=1 inverse (multiple_inverse_bases else), never over times/divide.
R1 setup 6/0/4 -> 7/0/3; R1 answers -> 7 correct / 0 wrong; 15-case 15/0/0; setup_wrong stays 0. Off-serving. Refreshes the R1 ledger to 7/0/3 (R1 closed; the 3 remaining refusals are wrong=0 boundaries).
Widen the aggregate-query recognizer so a multi-part total may be asked with a
trailing qualifier after 'have': 'How many X do A and B have altogether?' and
'... in total?'. The qualifier is stripped and honored ONLY for the multi-part
(sumquery) form — a single-entity query carrying it refuses, guarded by
'not aggregate'.
Phrasing-only: no new arithmetic, no new relation kind, no inverse solving, no
distractor/pronoun handling. The parts still flow through the existing sum_of;
an ungrounded part (unit unbound) or a unit-incompatible part (unit mismatch) is
refused downstream by the REAL admissibility check, so the recognizer cannot
over-read. Off-serving organ only (no generate.derivation / reliability_gate).
Flips r1-03 (more+altogether -> 25) and r1-04 (fewer+in total -> 34):
R1 setup 6 / 0 / 4 R1 answers 6 / 0 / 4 (setup_wrong 0, gold_error 0)
15-case 15 / 0 / 0 29 quant tests, 102 affected-file tests green
Tests are meaningful-fail: the single-entity-qualifier, ungrounded-part, and
unit-incompatible-part refusals each fail loudly if their guard is removed.
PR-6d adds the partition frame: combine all parts into a total, then split that
total equally into N containers. r1-06-subtotal-reused moves refused → correct —
the FIRST case where the divisor applies to a DERIVED symbol (the total), not a
directly given fact. That is real progress toward GSM8K setup comprehension,
where intermediate quantities are the norm.
Scope (kept narrow on purpose):
No new relation kind.
No new arithmetic operation.
No rational support.
No rounding/flooring.
No serving path touched.
The frame reuses the already-ratified pieces — SumOf(parts) + Div(Symbol(total),
Literal(N)) → divide_by — so this PR is reader-only (no IR / admissibility /
oracle / signature change).
Frame grammar:
"They combine their <unit> and split them equally into N <containers>."
+ "How many <unit> are in each <container>?"
-> total = sum(all facts); per_<container> = total / N; ask per_<container>.
wrong=0 boundaries:
- Exact-divisibility still gates the ANSWER, now over a derived total: 5+6=11,
11/3 is non-exact -> the setup reads correctly but the answer REFUSES (never
floors). Setup comprehension and answer exactness are cleanly separated.
- Partition/query coherence: a partition is read ONLY together with its
"in each <container>" query (and vice versa); container mismatch (box vs jar)
refuses. Prevents over-reading a story detail into an unused derived value.
Meaningful-fail verified: disabling the guard makes a dangling partition
wrongly comprehend.
Gates:
R1 setup: 4 correct / 0 wrong / 6 refused
R1 answers: 4 correct / 0 wrong / 6 refused / setup_wrong 0 / gold_error 0
15-case setup: 15 / 0 / 0
97 PR-6d tests + 99 relational/invariant tests green. Reader is off-serving
(no generate.derivation / core.reliability_gate import).
PR-6c adds the divisive comparative frame: "half as many" read as EXACT INTEGER
DIVISION. It is the divisor twin of PR-5c's multiplicative frame, and moves the
independent R1 gold's r1-02-half from refused → correct.
No serving path touched. No rational/fractional answer support added. Non-exact
division refuses.
Design (ADR-0134 amended — divide made symmetric with multiply):
- `_check_divide` now admits a SINGLE-DEP divide-by-dimensionless-literal
(item / dimensionless = item), the exact twin of single-dep multiply. The
2-dep rate-divide path is untouched. This keeps the IR's "literal operands
are not deps" invariant (proven in PR-6a) uniform across Mul AND Div, so the
reader builds both without a per-op special case and WITHOUT synthesizing a
divisor symbol that would pollute the setup-oracle's unit signature.
- `Div(Symbol, Literal)` IR node: "ref / divisor", operation_kind "divide",
projects to `divide_by`. Divisor-only contract mirrors the scalar-only one.
- Reader: `_DIVISOR_WORDS={half:2}` slots into the same 8-token "<WORD> as many"
template as the factor words; graph carries only the two entities.
- Gold reconciliation: r1-02 placeholder `times_as_many factor 0.5` → exact
`divide_by divisor 2` (gold 4). Makes the INDEPENDENT gold integer-faithful.
The wrong=0 boundary — exact divisibility:
the oracle admits `divide_by` only when `base % divisor == 0`. An odd base
halved REFUSES (gold_error), never floors to a wrong integer. Divisor must be
a nonzero int (0, 0.5, 1.5, bool all refuse); divisor=1 is intentionally the
identity (pinned). admissibility proves DIMENSION; the oracle proves EXACT VALUE.
Meaningful-fail (CLAUDE.md Schema-Defined Proof Obligations), both verified red:
- drop the `% divisor` guard → test_oracle_refuses_non_exact_division fails (returns 3).
- disable the single-dep divide branch → the admissibility test AND the reader's
`half` test fail (admissibility refuses → reader refuses → half stays refused).
Gates:
R1 setup: 3 correct / 0 wrong / 7 refused
R1 answers: 3 correct / 0 wrong / 7 refused / setup_wrong 0 / gold_error 0
15-case setup: 15 / 0 / 0
91 PR-6c tests + 60 relational lanes + 56 architectural invariants + 502
binding-graph/proof-chain/adapter tests green. All 8 SHA-content lanes match
(serving unmoved; admissibility has no generate.derivation/reliability_gate consumer).
The first capability slice on the R1 arc, gated by the setup-oracle: turn the
"twice / N times as many" reading from REFUSED into a correct setup, without a single
misread. Builds on the typed IR (PR-4) and the R1 gold (PR-5b).
- IR: a Mul(symbol, literal-factor) node — to_canonical_string "ref * factor",
operation_kind "multiply", dependencies {ref}, to_relation -> times_as_many. The
product keeps the symbol's unit (count * scalar = count), admitted by the REAL
check_admissibility multiply path (the literal factor is dimensionless, not a dep).
- Reader: a multiplicative template "Y has <factor> as many <unit> as X" (factor word:
twice/double/triple/quadruple) and "Y has <N> times as many <unit> as X", checked
BEFORE the digit gate (the factor may be a word). 'half' (a /2) is deliberately
deferred — divide-by-literal is a separate admissibility path.
- setup-oracle: relation_signature now canonicalizes times_as_many.
Setup-oracle R1 result: 2 setup_correct (r1-01 twice; r1-05 the multi-step chain
ivy/jon=3*ivy/kim=jon+2), 0 setup_WRONG, 8 setup_refused. Every hard negative stays a
safe refusal: missing-base (Rosa ungrounded), ambiguous referent, distractor, inverse,
partition, 'altogether'/'in total' phrasings, and 'half' (divide). wrong=0 held through
the first capability addition.
Gates green: setup-oracle R1 setup_wrong=0; 15-case setup gate 15/15 setup_wrong=0;
relational_metric answer lane 15/15 wrong=0; binding-graph admissibility + realize +
architectural invariants + chat-runtime + pipeline (122+). No serving path touched (this
reader feeds the relational_metric / setup-oracle lanes, not the candidate-graph serving).
Completes the PR-1 migration. The question target now has a single source of truth:
the binding-graph's sole BoundUnknown. The sidecar QuantQuery dataclass + the
QuantComprehension.query field are DELETED.
- New helper single_unknown(graph) -> BoundUnknown | None: returns the sole target, or
None on a graph that does not carry exactly one. Zero unknowns (no question) and
multiple unknowns (ambiguous) both REFUSE — the consumer must never pick one.
- to_relational_metric reads the query from single_unknown(graph) (refuses on None).
- realize_quantitative reads the asked symbol from single_unknown(bg) (NotRealized on None).
- Tests: the .query assertions move to single_unknown; new malformed-graph tests prove
0 and >1 unknowns REFUSE rather than pick one (the wrong=0 boundary).
Byte-identical where it matters: relational_metric answer lane 15/15 wrong=0, setup-oracle
15/15 setup_wrong=0, realize-binding-graph + architectural invariants green. No serving
path touched. No dangling QuantQuery reference remains.
Two coupled, additive, off-serving changes toward the typed math-comprehension organ.
No serving path touched; the relational_metric answer lane stays 15/15 wrong=0.
PR-1 — QuantQuery → BoundUnknown. comprehend_quantitative now emits the question
target as a BoundUnknown INSIDE the binding-graph (symbol_id, state_index="terminal",
question_form "count"|"total", expected_unit), so the graph is a real question-bearing
mathematical object and its canonical serialization carries the target. The external
QuantQuery is RETAINED, consistent-by-construction, so the two consumers
(to_relational_metric, realize/quantitative) are byte-identical; a follow-up rewires
them onto graph.unknowns and drops the duplicate field.
Setup-oracle lane (evals/setup_oracle) — grade the READING, not the answer. The
relational_metric lane scores answers, which can bless a semantically-wrong derivation
that coincidentally lands on the right number (the exact hazard the held-out
measurements + the 2/87 resolve_pooled probe exposed). The setup-oracle compares the
reader's comprehended STRUCTURE — a span-free signature of facts + typed equations +
the BoundUnknown target — against the INDEPENDENT gold structure (the relational_metric
cases' own relations/query, authored separately from the binding-graph reader). A
structural mismatch is setup_wrong, the wrong=0-critical count, even when the answer
would be right. v1 grades structure (units deferred — covered by admissibility). The
reader reads all 15 cases with the gold structure (setup_wrong=0); a meaningful-fail
test proves the oracle catches a right-answer/wrong-structure reading (it is not
decoration). `python -m evals.setup_oracle` exits nonzero iff setup_wrong > 0.
This is the measurement rig BEFORE investing in frame families: setup_wrong=0 is the
gate; serving must not move while setup_wrong > 0. It is the first milestone of the
math-comprehension organ, not a path to "solve GSM8K".
Verified: setup-oracle 15/15 setup_correct wrong=0; quantitative + setup-oracle unit
tests (17); realize-binding-graph + binding-graph + architectural invariants (183).
The binding-graph's FIRST comprehension consumer (doctrine-aligned: quantities live
in binding_graph, NOT the MeaningGraph). generate/quantitative_comprehension.py
reads arithmetic prose into SymbolBinding/BoundFact/BoundEquation and runs the REAL
check_admissibility (shell -> verify -> rebuild with the actual UnitProof) — there
is NO stamped "admitted": an equation is admitted only if its operand units verify.
Then to_relational_metric projects the binding-graph to the independent
relational_metric oracle for the verdict.
Templates (digits only; non-digit quantity REFUSES):
"<X> has <N> <unit>" -> BoundFact(X = N)
"<Y> has <N> more <unit> than <X>" -> BoundEquation(Y = X + N) op=add
"<Y> has <N> fewer <unit> than <X>" -> BoundEquation(Y = X - N) op=subtract
"How many <unit> does <Y> have" -> ask Y
"How many <unit> do <X> and <Y> have"-> total = X + Y; ask total
Unit modelling (honest, not faked): a noun the closed en_units_v1 pack knows is
used verbatim (dollars -> dollar/money); an UNKNOWN sortal noun (stickers, coins)
is a count of discrete objects -> the existing 'item' lemma (dimension count). So
admissibility stays a REAL check: count+count admits, count+money (a mixed-unit
sum) REFUSES with unit_mismatch — verified to bite.
comprehension_relational_metric: 15/15 wrong=0 (full coverage). Located OUTSIDE
generate/meaning_graph (it targets binding_graph, not the MeaningGraph) so INV-28
neutrality stays intact; oracle imports none of the SUT (new INV-25 lane).
Capability index breadth 7->8, score 0.928622 -> 0.937258, wrong_total 0, digest
50e0675b…
Tests: reader templates + count/known-unit modelling + admissibility-bite (mixed
unit refuses) + non-digit refusal; end-to-end full-coverage wrong=0; arithmetic
added to the structure-preservation generative panel (projected relations+query ==
ground truth); capability breadth 7->8; INV-25 arithmetic lane. 93 targeted + 90
smoke green; lane SHAs 8/9 (sole miss = public_demo env flake; deductive_logic +
math_teaching unchanged -> no GSM8K coupling).
