feat(adr-0176-ms2): multi-step chain model — text + comparative operands
MS-2 of multi-step composition. Extends the derivation model so a chain mixes text-quantity operands and COMPARATIVE-scalar operands (twice->x2, 'N times'->xN, half->x0.5), self-verifying the whole chain with completeness over body+question and question-target matching. - model.py: Step gains comparative flag. - comparatives.py: ComparativeScalar gains number_token (the '<N> times' number, so completeness counts the consumed body quantity); comparative_step(cs) bridges a scalar into a Step (operand grounded by cue, not a text value token). - verify.py: self_verifies exempts comparative operands from value-grounding (clause 1) — they are cue-grounded (clause 2); completeness (Counter) counts a digit comparative's number_token as consuming the body quantity. Adds target_units to select_self_verified: a chain whose answer_unit isn't the asked unit is dropped (question-target match; empty target_units imposes no constraint). Proves the multi-step shapes from the gold structures: 0024 (text sum then 'three times' scale -> 438), 0033 father-chain (digit-comparative '7 times' + fixed 'half' + text add -> 47). Full 0033 DAG (quantity reuse + the question's 25) deferred. 25 MS-2 tests; full derivation surface 69/69 (3a/3b/comparatives/ms1/ms2); ruff clean; smoke 67. Not wired into serving (model ready for MS-3 target-guided search).
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6 changed files with 217 additions and 5 deletions
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@ -9,6 +9,7 @@ from __future__ import annotations
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from generate.derivation.comparatives import (
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ComparativeScalar,
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comparative_step,
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extract_comparative_scalars,
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)
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from generate.derivation.extract import extract_quantities
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@ -32,6 +33,7 @@ __all__ = [
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"Step",
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"Target",
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"VALID_OPS",
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"comparative_step",
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"extract_comparative_scalars",
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"extract_quantities",
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"extract_target",
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@ -22,6 +22,7 @@ from functools import lru_cache
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from pathlib import Path
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from typing import Final
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from generate.derivation.model import Quantity, Step
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from generate.math_roundtrip import WORD_NUMBERS
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_PACK_DIR: Final[Path] = (
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@ -40,6 +41,10 @@ class ComparativeScalar:
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scalar: float
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source_span: str
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cue: str
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# The number token of a "<N> times" comparative (e.g. "7" / "three"), or None
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# for a fixed lexeme (twice/half). Used by completeness so a digit comparative
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# ("7 times") is counted as consuming the body quantity "7".
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number_token: str | None = None
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@lru_cache(maxsize=1)
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@ -88,7 +93,10 @@ def extract_comparative_scalars(text: str) -> tuple[ComparativeScalar, ...]:
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if n is None or n <= 0:
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continue
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found.append(
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(m.start(), ComparativeScalar("multiply", n, m.group(0), "times"))
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(
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m.start(),
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ComparativeScalar("multiply", n, m.group(0), "times", number_token=m.group(1)),
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)
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)
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# Fixed comparative lexemes (word-boundary, case-insensitive).
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@ -100,3 +108,20 @@ def extract_comparative_scalars(text: str) -> tuple[ComparativeScalar, ...]:
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found.sort(key=lambda pair: (pair[0], pair[1].cue))
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return tuple(cs for _, cs in found)
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def comparative_step(cs: ComparativeScalar) -> Step:
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"""Bridge a comparative scalar into a derivation :class:`Step` (ADR-0176 MS-2).
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The step is flagged ``comparative=True``: its operand value is the pack-supplied
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scalar (grounded by the comparative cue, not by a text value token). Its
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``source_token`` is the ``<N> times`` number token when present (so completeness
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counts the consumed body quantity), else the comparative lexeme.
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"""
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source = cs.number_token if cs.number_token is not None else cs.cue
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return Step(
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op=cs.op,
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operand=Quantity(value=cs.scalar, unit="", source_token=source),
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cue=cs.cue,
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comparative=True,
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)
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@ -36,6 +36,10 @@ class Step:
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op: str
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operand: Quantity
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cue: str
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# ADR-0176 MS-2: when True the operand is a comparative scalar (twice -> x2,
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# 'N times' -> xN). It is grounded by ``cue`` (the comparative lexeme), not by a
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# text value token, and it does not count as a body quantity for completeness.
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comparative: bool = False
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def __post_init__(self) -> None:
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if self.op not in VALID_OPS:
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@ -55,8 +55,11 @@ def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVeri
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tokens = _tokens(problem_text)
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reasons: list[str] = []
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# 1. operand grounding — every value must be sourced from the text.
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operands = [derivation.start, *(s.operand for s in derivation.steps)]
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# 1. operand grounding — every TEXT operand value must be sourced from the
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# text. Comparative operands (ADR-0176 MS-2: twice -> x2, 'N times' -> xN)
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# are grounded by their cue (clause 2), not by a text value token, so they
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# are exempt here — their pack-supplied scalar is not a number in the text.
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operands = [derivation.start, *(s.operand for s in derivation.steps if not s.comparative)]
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for q in operands:
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if not _value_grounds(q.source_token, tokens):
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reasons.append(f"operand {q.source_token!r} not grounded in text")
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@ -99,13 +102,23 @@ def self_verifies(derivation: GroundedDerivation, problem_text: str) -> SelfVeri
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def select_self_verified(
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derivations: list[GroundedDerivation],
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problem_text: str,
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*,
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target_units: tuple[str, ...] = (),
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) -> Resolution | None:
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"""Among the self-verifying derivations, return the unique answer or refuse.
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Refuse-preferring: ``None`` when zero self-verify (no grounded derivation) or
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when the self-verifying ones disagree (the multi-branch disagreement rule).
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ADR-0176 MS-2 question-targeting: when ``target_units`` is non-empty (the unit
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the question asks for), derivations whose ``answer_unit`` is not among them are
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dropped — a chain that computes the wrong kind of quantity answered a different
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question. Empty ``target_units`` imposes no constraint (the unit signal may be
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unavailable, e.g. a superordinate the units pack doesn't yet cover).
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"""
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verified = [d for d in derivations if self_verifies(d, problem_text).verified]
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if target_units:
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verified = [d for d in verified if d.answer_unit in target_units]
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if not verified:
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return None
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distinct = {round(d.answer, 9) for d in verified}
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@ -32,11 +32,11 @@ class TestExtractComparativeScalars:
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def test_word_number_times(self) -> None:
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cs = extract_comparative_scalars("Brooke does three times as many jumping jacks.")
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assert cs == (ComparativeScalar("multiply", 3.0, "three times", "times"),)
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assert cs == (ComparativeScalar("multiply", 3.0, "three times", "times", number_token="three"),)
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def test_digit_times(self) -> None:
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cs = extract_comparative_scalars("The price is 5 times the cost.")
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assert cs == (ComparativeScalar("multiply", 5.0, "5 times", "times"),)
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assert cs == (ComparativeScalar("multiply", 5.0, "5 times", "times", number_token="5"),)
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def test_triple_and_quarter(self) -> None:
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assert extract_comparative_scalars("output tripled")[0].scalar == 3.0
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168
tests/test_adr_0176_ms2_chain.py
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168
tests/test_adr_0176_ms2_chain.py
Normal file
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@ -0,0 +1,168 @@
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"""ADR-0176 MS-2 — multi-step chain model: text + comparative operands.
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Extends the derivation model so a chain can mix text-quantity operands and
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**comparative-scalar** operands (twice -> x2, 'N times' -> xN, half -> x0.5),
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self-verifying the whole chain with completeness over body+question and
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question-target matching.
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Covers the multi-step shapes the gold structures show:
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- 0021: all-text multiplicative chain.
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- 0024: text sum, then a comparative scale ('three times').
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- 0033 father-chain: digit-comparative ('7 times') + fixed-comparative ('half')
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+ text add — the mixed chain mechanics (full 0033 DAG with quantity reuse is
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deferred; here we verify the chain composes and is complete over its own body).
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"""
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from __future__ import annotations
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from generate.derivation import (
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GroundedDerivation,
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Quantity,
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Step,
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comparative_step,
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extract_comparative_scalars,
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select_self_verified,
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self_verifies,
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)
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def _q(v: float, unit: str, tok: str) -> Quantity:
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return Quantity(value=v, unit=unit, source_token=tok)
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# ---------------------------------------------------------------------------
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# comparative_step bridge
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# ---------------------------------------------------------------------------
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class TestComparativeStep:
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def test_word_times_bridges_to_multiply_step(self) -> None:
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(cs,) = extract_comparative_scalars("three times as many")
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step = comparative_step(cs)
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assert step.op == "multiply" and step.comparative is True
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assert step.operand.value == 3.0
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assert step.cue == "times"
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assert step.operand.source_token == "three" # number_token, for completeness
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def test_digit_times_carries_number_token(self) -> None:
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(cs,) = extract_comparative_scalars("7 times her age")
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step = comparative_step(cs)
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assert step.operand.value == 7.0
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assert step.operand.source_token == "7" # so completeness counts body "7"
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def test_fixed_lexeme_has_no_number_token(self) -> None:
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(cs,) = extract_comparative_scalars("half of it")
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step = comparative_step(cs)
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assert step.operand.value == 0.5
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assert step.operand.source_token == "half"
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# ---------------------------------------------------------------------------
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# mixed text + comparative chains self-verify
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# ---------------------------------------------------------------------------
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class TestMixedChains:
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def test_0024_sum_then_comparative_scale(self) -> None:
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# "Sidney does 20, 36, 40, 50 jumping jacks. Brooke does three times as many."
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text = (
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"Sidney does 20 jacks on Monday, 36 on Tuesday, 40 on Wednesday, "
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"and 50 on Thursday. Brooke does three times as many jacks as Sidney."
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)
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(cs,) = extract_comparative_scalars(text)
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chain = GroundedDerivation(
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start=_q(20, "jacks", "20"),
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steps=(
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Step("add", _q(36, "jacks", "36"), cue="and"),
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Step("add", _q(40, "jacks", "40"), cue="and"),
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Step("add", _q(50, "jacks", "50"), cue="and"),
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comparative_step(cs), # x3
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),
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)
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assert chain.answer == 438.0
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sv = self_verifies(chain, text)
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assert sv.verified is True, sv.reasons
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def test_0033_father_chain_digit_and_fixed_comparatives(self) -> None:
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# father's current age: 12 x 7 (= grandfather) / 2 (mother=half) + 5
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# (the body alone; the full 0033 also uses the question's 25 -> DAG, deferred)
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body = "Rachel is 12. Her grandfather is 7 times her age. Her mother is half that. Her father is 5 years older."
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scalars = {c.cue: c for c in extract_comparative_scalars(body)}
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chain = GroundedDerivation(
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start=_q(12, "years", "12"),
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steps=(
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comparative_step(scalars["times"]), # x7 (digit comparative)
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comparative_step(scalars["half"]), # x0.5
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Step("add", _q(5, "years", "5"), cue="older"),
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),
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)
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assert chain.answer == 47.0
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sv = self_verifies(chain, body)
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assert sv.verified is True, sv.reasons
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# ---------------------------------------------------------------------------
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# completeness over body (digit comparative consumes its body quantity)
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# ---------------------------------------------------------------------------
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class TestCompletenessWithComparatives:
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def test_digit_comparative_consumes_body_quantity(self) -> None:
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# "7 times" consumes body "7" -> chain using 12 + (x7) is complete over {12,7}
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body = "Rachel is 12. Her grandfather is 7 times her age."
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(cs,) = extract_comparative_scalars(body)
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chain = GroundedDerivation(
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start=_q(12, "years", "12"),
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steps=(comparative_step(cs),),
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)
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assert self_verifies(chain, body).verified is True
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def test_ignoring_a_body_quantity_is_incomplete(self) -> None:
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body = "Rachel is 12 years old. Her grandfather is 7 times her age. She has 30 coins."
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(cs,) = extract_comparative_scalars(body)
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chain = GroundedDerivation( # ignores the stated "30 coins"
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start=_q(12, "years", "12"),
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steps=(comparative_step(cs),),
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)
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sv = self_verifies(chain, body)
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assert sv.verified is False
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assert any("incomplete" in r for r in sv.reasons)
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def test_comparative_cue_absent_refuses(self) -> None:
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# a comparative step whose cue is not in the text -> ungrounded
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chain = GroundedDerivation(
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start=_q(12, "years", "12"),
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steps=(Step("multiply", _q(3.0, "", "three"), cue="times", comparative=True),),
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)
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sv = self_verifies(chain, "Rachel is 12.") # no "times"
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assert sv.verified is False
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assert any("cue" in r for r in sv.reasons)
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# ---------------------------------------------------------------------------
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# question-target matching (MS-2)
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# ---------------------------------------------------------------------------
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class TestTargetMatch:
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def test_target_unit_match_resolves(self) -> None:
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text = "He has 6 boxes for 50 each."
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chain = GroundedDerivation(
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start=_q(6, "boxes", "6"),
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steps=(Step("multiply", _q(50, "each", "50"), cue="for"),),
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)
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res = select_self_verified([chain], text, target_units=("boxes",))
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assert res is not None and res.answer == 300.0
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def test_target_unit_mismatch_refuses(self) -> None:
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# chain answers in "boxes" but the question asked for "reps" -> refuse
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text = "He has 6 boxes for 50 each."
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chain = GroundedDerivation(
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start=_q(6, "boxes", "6"),
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steps=(Step("multiply", _q(50, "each", "50"), cue="for"),),
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)
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assert select_self_verified([chain], text, target_units=("reps",)) is None
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def test_empty_target_imposes_no_constraint(self) -> None:
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text = "He has 6 boxes for 50 each."
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chain = GroundedDerivation(
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start=_q(6, "boxes", "6"),
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steps=(Step("multiply", _q(50, "each", "50"), cue="for"),),
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)
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assert select_self_verified([chain], text, target_units=()) is not None
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