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).
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