Measuring the holonomy tri-language resonance (intended for a Studio proof-card) showed it is NOT a robust proof: the engine's own holonomy_similarity (CGA inner product) anti-correlates, and the Euclidean 'aligned closer than misaligned' claim passes only via averaging in the close Hebrew distance + one cherry-picked negative (1.3% margin) — the aligned Greek clause is itself farther than the negative, and the verdict flips ±20-55% under other negatives. Decoration, not proof (CLAUDE.md, Schema-Defined Proof Obligations). - docs/analysis/holonomy-resonance-proof-not-robust-2026-06-14.md: the rigorous finding (numbers), why a Holonomy proof tab cannot be built honestly yet (stays missing_evidence), and bounded research questions. - Downgrade the two clause-resonance decoration tests to honest tripwires that assert the true state and fail (pointing to the doc) if the resonance becomes real. Token-pair cga_inner tests left intact + flagged as a separate, un-audited claim. 70 holonomy-adjacent tests pass.
152 lines
6.5 KiB
Python
152 lines
6.5 KiB
Python
"""Tests for the alignment graph and HolonomyAlignmentCase formal proof."""
|
|
|
|
from __future__ import annotations
|
|
|
|
import numpy as np
|
|
import pytest
|
|
|
|
from alignment.graph import load_alignment
|
|
from language_packs.schema import AlignmentEdge, HolonomyAlignmentCase
|
|
from algebra.holonomy import holonomy_encode, holonomy_similarity
|
|
from language_packs import load_pack
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# Alignment graph loading
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def test_load_he_alignment_returns_depth_and_english_anchor_edges():
|
|
graph = load_alignment("he_logos_micro_v1")
|
|
assert len(graph) == 11
|
|
for edge in graph.edges:
|
|
assert isinstance(edge, AlignmentEdge)
|
|
assert 0.0 <= edge.weight <= 1.0
|
|
assert edge.relation.startswith("cross_lang.")
|
|
|
|
|
|
def test_load_grc_alignment_returns_depth_and_english_anchor_edges():
|
|
graph = load_alignment("grc_logos_micro_v1")
|
|
assert len(graph) == 9
|
|
|
|
|
|
def test_load_en_alignment_returns_empty_graph():
|
|
"""Operational base packs carry no cross-language edges yet."""
|
|
graph = load_alignment("en_minimal_v1")
|
|
assert len(graph) == 0
|
|
|
|
|
|
def test_davar_logos_edge_weight_above_threshold():
|
|
"""דבר ↔ λόγος edge weight must be >= 0.9 (logos.utterance canonical pair)."""
|
|
graph = load_alignment("he_logos_micro_v1")
|
|
edge = graph.get_edge("he-001", "grc-001")
|
|
assert edge is not None, "he-001 → grc-001 edge missing"
|
|
assert edge.weight >= 0.9
|
|
assert edge.relation == "cross_lang.logos.utterance"
|
|
|
|
|
|
def test_aligned_pairs_by_relation_prefix():
|
|
"""aligned_pairs() should filter by relation prefix correctly."""
|
|
graph = load_alignment("he_logos_micro_v1")
|
|
all_cross = graph.aligned_pairs("cross_lang.logos")
|
|
assert len(all_cross) == 11
|
|
|
|
logos_only = graph.aligned_pairs("cross_lang.logos.utterance")
|
|
assert {edge.target_id for edge in logos_only} == {"grc-001", "en-024"}
|
|
assert all(edge.source_id == "he-001" for edge in logos_only)
|
|
|
|
|
|
def test_edges_from_source():
|
|
graph = load_alignment("grc_logos_micro_v1")
|
|
edges = graph.edges_from("grc-001")
|
|
assert {edge.target_id for edge in edges} == {"he-001", "en-024"}
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# HolonomyAlignmentCase formal proof
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def _encode(manifold, tokens: list[str]) -> np.ndarray:
|
|
return holonomy_encode([manifold.get_versor(t) for t in tokens])
|
|
|
|
|
|
def test_holonomy_alignment_resonance_is_not_yet_a_robust_proof():
|
|
"""Pins the *true* state of the holonomy tri-language resonance: it does
|
|
NOT robustly separate aligned from misaligned clauses under the current
|
|
encoding. See docs/analysis/holonomy-resonance-proof-not-robust-2026-06-14.md.
|
|
|
|
The prior `..._positive_closer_than_negative` test asserted a "crown proof"
|
|
that passed only by averaging in the close Hebrew distance and comparing to a
|
|
single cherry-picked negative (a ~1.3% margin) — decoration, not proof
|
|
(CLAUDE.md, Schema-Defined Proof Obligations). This guard asserts the actual
|
|
geometry so the obligation is never silently green:
|
|
|
|
* the aligned Greek clause is itself FARTHER from the English anchor than
|
|
the misaligned negative, and
|
|
* the engine's own holonomy_similarity (CGA inner product) anti-correlates
|
|
(the misaligned clause scores as *more* similar).
|
|
|
|
A future encoding/metric that makes the resonance genuinely robust SHOULD
|
|
make this guard fail — then replace it with a real proof and update the doc.
|
|
Until then the Studio renders holonomy as missing_evidence.
|
|
"""
|
|
case = HolonomyAlignmentCase(
|
|
case_id="HAC-001",
|
|
description=(
|
|
"Aligned Logos clause; cross-language holonomy resonance is NOT yet a "
|
|
"robust proof - see "
|
|
"docs/analysis/holonomy-resonance-proof-not-robust-2026-06-14.md."
|
|
),
|
|
source_refs=("Gen1:1", "John1:1", "John14:6"),
|
|
pack_ids=("en_minimal_v1", "he_logos_micro_v1", "grc_logos_micro_v1"),
|
|
expected_relation="cross_lang.closer_than_negative",
|
|
negative_source_refs=("John1:4",),
|
|
tolerance=0.0,
|
|
)
|
|
assert case.case_id == "HAC-001"
|
|
assert len(case.pack_ids) == 3
|
|
|
|
_, en = load_pack("en_minimal_v1")
|
|
_, grc = load_pack("grc_logos_micro_v1")
|
|
|
|
en_h = _encode(en, ["word", "beginning", "with", "truth"])
|
|
grc_aligned = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u1f00\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1"])
|
|
# Negative: replace truth with vitality - different semantic domain.
|
|
grc_negative = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u03b6\u03c9\u03ae"])
|
|
|
|
# Encoding is deterministic, so this finding is structural, not noise.
|
|
assert np.allclose(
|
|
grc_aligned,
|
|
_encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u1f00\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1"]),
|
|
)
|
|
|
|
aligned_dist = float(np.linalg.norm(en_h - grc_aligned))
|
|
negative_dist = float(np.linalg.norm(en_h - grc_negative))
|
|
# The honest contradiction: aligned is NOT closer than the misaligned negative.
|
|
assert aligned_dist > negative_dist, (
|
|
"Aligned Greek clause is now closer than the misaligned negative - the "
|
|
"resonance may have become real. Replace this guard with a proper proof "
|
|
"and update docs/analysis/holonomy-resonance-proof-not-robust-2026-06-14.md."
|
|
)
|
|
# The owned similarity metric anti-correlates (misaligned scores higher).
|
|
assert holonomy_similarity(en_h, grc_negative) > holonomy_similarity(en_h, grc_aligned)
|
|
|
|
|
|
def test_holonomy_alignment_case_schema_validation():
|
|
"""HolonomyAlignmentCase must reject under-specified instances."""
|
|
with pytest.raises(ValueError, match="at least two source_refs"):
|
|
HolonomyAlignmentCase(
|
|
case_id="BAD-001",
|
|
description="missing refs",
|
|
source_refs=("Gen1:1",), # only one
|
|
pack_ids=("en_minimal_v1", "he_logos_micro_v1"),
|
|
expected_relation="cross_lang.closer_than_negative",
|
|
)
|
|
|
|
with pytest.raises(ValueError, match="at least two pack_ids"):
|
|
HolonomyAlignmentCase(
|
|
case_id="BAD-002",
|
|
description="missing packs",
|
|
source_refs=("Gen1:1", "John1:1"),
|
|
pack_ids=("en_minimal_v1",), # only one
|
|
expected_relation="cross_lang.closer_than_negative",
|
|
)
|