GB-2 first increment (ADR-0178). compose_sequential() adds the structure the blunt MS-3 shapes couldn't reach: a same-unit quantity LIST sums (additive cue), and any stated comparative scales the sum (sum-then-scale, 0024-family). Op-per-step from text structure (list => add; comparative => scale); operands are text quantities (grounded) + comparative steps (cue-grounded) on the flat left-fold — no derived- intermediate model needed (running value is the intermediate). Deliberately narrow: same-unit lists only. A stated comparative is ALWAYS applied (no bare-vs-scaled self-disagreement). A product base over the same list is added WITHOUT a comparative tail purely as a disagreement-safety candidate -> a same-unit list that also carries a mult cue (ambiguous) REFUSES. Product-of-all/cross-unit products stay MS-3's job (avoids the product x comparative blowups a blunt all-bases composer produced: 0024 -> 4.3M). Clean-case capability proven: 8 tests (list-sum, sum-then-double/triple, mixed-units refuse, ambiguous-disagreement refuse, determinism). Honest practice result: 3/2/45 — NO new flips (extraction wall: real cases like 0024 extract non-uniform units '36 on' so they aren't seen as same-unit lists), 2 sealed eliminations (0037/0039: list-sum was the wrong structure -> learning signal). Coverage gated by extraction richness + cue precision, as predicted. Sealed; serving untouched. Full derivation surface 53/53; ruff clean; smoke 67. Continuation: richer relational ops (per/each->multiply, more/older->add), branch/ DAG (0033), and the extraction richness (uniform-unit extraction) that unblocks this on real cases.
84 lines
4.1 KiB
Python
84 lines
4.1 KiB
Python
"""ADR-0178 GB-2 — sequential composition: list-structure + comparative-scale.
|
||
|
||
GB-1 read the problem into clauses; GB-2 begins combining structure the blunt MS-3
|
||
shapes could not reach. The first increment adds the **same-unit-list → sum** shape
|
||
(like quantities joined by an additive cue sum) and **always applies trailing
|
||
comparative scalars** (×N / half / doubled) — the `sum-then-scale` family
|
||
(0024-class: `(6+4)×2`). The op for each step comes from the text's structure (list
|
||
⇒ add; comparative ⇒ scale), not a single blunt op.
|
||
|
||
All operands are text quantities (grounded) + comparative steps (cue-grounded), so
|
||
no derived-intermediate model is needed — the running value is the intermediate.
|
||
A stated comparative is part of the problem, so it is always applied (no
|
||
bare-vs-scaled alternative, which would self-disagree). Each licensed base shape
|
||
(list-sum, product) is one candidate; routed through the proven gate (grounding ∧
|
||
cue ∧ unit ∧ completeness ∧ uniqueness). When two bases self-verify and disagree
|
||
(e.g. a same-unit list that also has a multiplicative cue), uniqueness refuses —
|
||
cue precision (ADR-0177) is what later breaks such ties. Refuse-preferring; sealed.
|
||
|
||
Branch/DAG structures (0033's `25−12`) and richer relational ops (per/each, more/
|
||
older) are later GB increments.
|
||
"""
|
||
|
||
from __future__ import annotations
|
||
|
||
from typing import Final
|
||
|
||
from generate.derivation.comparatives import comparative_step, extract_comparative_scalars
|
||
from generate.derivation.extract import extract_quantities
|
||
from generate.derivation.model import GroundedDerivation, Quantity, Step
|
||
from generate.derivation.multistep import MAX_QUANTITIES
|
||
from generate.derivation.search import MULTIPLICATIVE_CUES
|
||
from generate.derivation.verify import Resolution, select_self_verified
|
||
from generate.math_roundtrip import _tokens
|
||
|
||
# Additive cues that license summing a same-unit list (lexeme-level, ADR-0165).
|
||
_ADDITIVE_CUES: Final[tuple[str, ...]] = ("and", "plus", "altogether", "total")
|
||
|
||
|
||
def _same_unit(quantities: list[Quantity]) -> bool:
|
||
return len({q.unit for q in quantities}) == 1
|
||
|
||
|
||
def compose_sequential(problem_text: str) -> Resolution | None:
|
||
"""GB-2 composer — the same-unit **list-sum-then-scale** structure.
|
||
|
||
Scope (deliberately narrow): only same-unit quantity *lists*. The list sums
|
||
(additive cue) and any stated comparative scales the sum (sum-then-scale). A
|
||
product base over the same list is added *without* a comparative tail purely as
|
||
a **disagreement-safety** candidate — so a same-unit list that also carries a
|
||
multiplicative cue (ambiguous: sum vs product) refuses rather than guessing.
|
||
|
||
Product-of-all / cross-unit products are **not** this composer's job (that is
|
||
MS-3 ``search_chain``); a non-same-unit problem yields no candidate here and
|
||
refuses. This keeps GB-2 to the one structure it adds and avoids the
|
||
product×comparative blowups a blunt all-bases composer produced.
|
||
|
||
Refuse-preferring; deterministic; sealed.
|
||
"""
|
||
quantities = list(extract_quantities(problem_text))
|
||
if not 2 <= len(quantities) <= MAX_QUANTITIES or not _same_unit(quantities):
|
||
return None
|
||
|
||
tokens = _tokens(problem_text)
|
||
tail = tuple(comparative_step(cs) for cs in extract_comparative_scalars(problem_text))
|
||
start, *rest = quantities
|
||
|
||
candidates: list[GroundedDerivation] = []
|
||
add_cue = next((c for c in _ADDITIVE_CUES if c in tokens), None)
|
||
if add_cue is not None: # list-sum (+ applied comparative scale)
|
||
candidates.append(
|
||
GroundedDerivation(
|
||
start=start,
|
||
steps=tuple(Step(op="add", operand=q, cue=add_cue) for q in rest) + tail,
|
||
)
|
||
)
|
||
mult_cue = next((c for c in MULTIPLICATIVE_CUES if c in tokens), None)
|
||
if mult_cue is not None: # product (no tail) — disagreement-safety only
|
||
candidates.append(
|
||
GroundedDerivation(
|
||
start=start,
|
||
steps=tuple(Step(op="multiply", operand=q, cue=mult_cue) for q in rest),
|
||
)
|
||
)
|
||
return select_self_verified(candidates, problem_text, target_units=())
|