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).
