Add alignment graph, cross-language edges, and HolonomyAlignmentCase tests
alignment/graph.py
Lightweight in-memory alignment graph. Loads AlignmentEdge records from
a pack's alignment.jsonl. Exposes edges_from(), aligned_pairs(), and
load_alignment(). No external deps — pure schema + stdlib.
language_packs/data/he_logos_micro_v1/alignment.jsonl
language_packs/data/grc_logos_micro_v1/alignment.jsonl
Seven bidirectional cross-language edges per pack encoding the semantic
resonances already implicit in the lexicon semantic_domains:
דבר↔λόγος, ראשית↔ἀρχή, אור↔φῶς, חיים↔ζωή, אמת↔ἀλήθεια, רוח↔πνεῦμα, ברא↔κτίζω
tests/test_alignment_graph.py
Four tests:
- load returns AlignmentEdge instances with correct structure
- דבר↔λόγος edge weight >= 0.9
- aligned_pairs() filters by relation prefix
- HolonomyAlignmentCase formal proof: positive triple closer than
negative triple, wrapping the geometry already proven in
test_holonomy_resonance.py into the schema's crown proof type
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5
alignment/__init__.py
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alignment/__init__.py
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"""Alignment graph — cross-language resonance edges and holonomy proof cases."""
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from .graph import AlignmentGraph, load_alignment
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__all__ = ["AlignmentGraph", "load_alignment"]
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alignment/graph.py
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alignment/graph.py
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"""
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Alignment graph — cross-language resonance edges.
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AlignmentEdge records live in a pack's alignment.jsonl alongside its
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lexicon.jsonl. This module loads them into a queryable in-memory graph.
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Design constraints:
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- No numpy, no algebra imports. The graph is pure schema + stdlib.
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Geometric verification belongs in tests or holonomy proofs, not here.
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- load_alignment() is the single entry point. It reads bytes, not strings,
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so the caller can checksum if needed.
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- AlignmentGraph is immutable after construction (frozen edges tuple).
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"""
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from __future__ import annotations
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import json
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from pathlib import Path
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from language_packs.schema import AlignmentEdge
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_DATA_DIR = Path(__file__).parent.parent / "language_packs" / "data"
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class AlignmentGraph:
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"""Immutable in-memory graph of AlignmentEdge records for one pack."""
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def __init__(self, edges: list[AlignmentEdge]) -> None:
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self._edges: tuple[AlignmentEdge, ...] = tuple(edges)
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# Index by source_id for O(1) lookup on hot path
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self._by_source: dict[str, list[AlignmentEdge]] = {}
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for edge in self._edges:
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self._by_source.setdefault(edge.source_id, []).append(edge)
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def __len__(self) -> int:
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return len(self._edges)
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def edges_from(self, source_id: str) -> list[AlignmentEdge]:
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"""Return all edges originating from source_id."""
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return list(self._by_source.get(source_id, []))
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def aligned_pairs(self, relation_prefix: str) -> list[AlignmentEdge]:
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"""Return all edges whose relation starts with relation_prefix."""
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return [
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e for e in self._edges
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if e.relation.startswith(relation_prefix)
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]
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def get_edge(self, source_id: str, target_id: str) -> AlignmentEdge | None:
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"""Return the edge between source and target, or None."""
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for edge in self._by_source.get(source_id, []):
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if edge.target_id == target_id:
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return edge
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return None
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@property
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def edges(self) -> tuple[AlignmentEdge, ...]:
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return self._edges
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def _parse_edge(payload: dict) -> AlignmentEdge:
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return AlignmentEdge(
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source_id=payload["source_id"],
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target_id=payload["target_id"],
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relation=payload["relation"],
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weight=float(payload["weight"]),
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evidence_ids=tuple(payload.get("evidence_ids", [])),
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)
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def load_alignment(pack_id: str) -> AlignmentGraph:
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"""
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Load AlignmentEdge records from language_packs/data/<pack_id>/alignment.jsonl.
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Returns an empty AlignmentGraph if the file does not exist.
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This is intentional: operational_base packs (en_minimal_v1) do not
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currently carry cross-language alignment edges.
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"""
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alignment_path = _DATA_DIR / pack_id / "alignment.jsonl"
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if not alignment_path.exists():
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return AlignmentGraph([])
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edges: list[AlignmentEdge] = []
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for line in alignment_path.read_text(encoding="utf-8").splitlines():
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line = line.strip()
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if line:
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edges.append(_parse_edge(json.loads(line)))
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return AlignmentGraph(edges)
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language_packs/data/grc_logos_micro_v1/alignment.jsonl
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language_packs/data/grc_logos_micro_v1/alignment.jsonl
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{"source_id": "grc-001", "target_id": "he-001", "relation": "cross_lang.logos.utterance", "weight": 0.95, "evidence_ids": ["John1:1", "Gen1:1"]}
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{"source_id": "grc-002", "target_id": "he-002", "relation": "cross_lang.logos.genesis", "weight": 0.93, "evidence_ids": ["John1:1", "Gen1:1"]}
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{"source_id": "grc-003", "target_id": "he-003", "relation": "cross_lang.logos.illumination", "weight": 0.95, "evidence_ids": ["John1:4", "Gen1:3"]}
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{"source_id": "grc-004", "target_id": "he-004", "relation": "cross_lang.logos.vitality", "weight": 0.92, "evidence_ids": ["John1:4"]}
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{"source_id": "grc-005", "target_id": "he-005", "relation": "cross_lang.logos.aletheia", "weight": 0.94, "evidence_ids": ["John14:6"]}
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{"source_id": "grc-006", "target_id": "he-006", "relation": "cross_lang.logos.pneuma", "weight": 0.96, "evidence_ids": ["Gen1:2", "John3:8"]}
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{"source_id": "grc-007", "target_id": "he-007", "relation": "cross_lang.logos.ktizo", "weight": 0.91, "evidence_ids": ["Gen1:1", "John1:3"]}
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7
language_packs/data/he_logos_micro_v1/alignment.jsonl
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language_packs/data/he_logos_micro_v1/alignment.jsonl
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{"source_id": "he-001", "target_id": "grc-001", "relation": "cross_lang.logos.utterance", "weight": 0.95, "evidence_ids": ["John1:1", "Gen1:1"]}
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{"source_id": "he-002", "target_id": "grc-002", "relation": "cross_lang.logos.genesis", "weight": 0.93, "evidence_ids": ["John1:1", "Gen1:1"]}
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{"source_id": "he-003", "target_id": "grc-003", "relation": "cross_lang.logos.illumination", "weight": 0.95, "evidence_ids": ["John1:4", "Gen1:3"]}
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{"source_id": "he-004", "target_id": "grc-004", "relation": "cross_lang.logos.vitality", "weight": 0.92, "evidence_ids": ["John1:4"]}
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{"source_id": "he-005", "target_id": "grc-005", "relation": "cross_lang.logos.aletheia", "weight": 0.94, "evidence_ids": ["John14:6"]}
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{"source_id": "he-006", "target_id": "grc-006", "relation": "cross_lang.logos.pneuma", "weight": 0.96, "evidence_ids": ["Gen1:2", "John3:8"]}
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{"source_id": "he-007", "target_id": "grc-007", "relation": "cross_lang.logos.ktizo", "weight": 0.91, "evidence_ids": ["Gen1:1", "John1:3"]}
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tests/test_alignment_graph.py
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tests/test_alignment_graph.py
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"""Tests for the alignment graph and HolonomyAlignmentCase formal proof."""
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from __future__ import annotations
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import numpy as np
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import pytest
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from alignment.graph import load_alignment
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from language_packs.schema import AlignmentEdge, HolonomyAlignmentCase
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from algebra.holonomy import holonomy_encode, holonomy_similarity
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from language_packs import load_pack
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# ---------------------------------------------------------------------------
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# Alignment graph loading
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# ---------------------------------------------------------------------------
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def test_load_he_alignment_returns_seven_edges():
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graph = load_alignment("he_logos_micro_v1")
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assert len(graph) == 7
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for edge in graph.edges:
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assert isinstance(edge, AlignmentEdge)
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assert 0.0 <= edge.weight <= 1.0
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assert edge.relation.startswith("cross_lang.")
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def test_load_grc_alignment_returns_seven_edges():
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graph = load_alignment("grc_logos_micro_v1")
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assert len(graph) == 7
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def test_load_en_alignment_returns_empty_graph():
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"""Operational base packs carry no cross-language edges yet."""
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graph = load_alignment("en_minimal_v1")
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assert len(graph) == 0
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def test_davar_logos_edge_weight_above_threshold():
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"""דבר ↔ λόγος edge weight must be >= 0.9 (logos.utterance canonical pair)."""
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graph = load_alignment("he_logos_micro_v1")
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edge = graph.get_edge("he-001", "grc-001")
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assert edge is not None, "he-001 → grc-001 edge missing"
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assert edge.weight >= 0.9
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assert edge.relation == "cross_lang.logos.utterance"
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def test_aligned_pairs_by_relation_prefix():
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"""aligned_pairs() should filter by relation prefix correctly."""
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graph = load_alignment("he_logos_micro_v1")
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all_cross = graph.aligned_pairs("cross_lang.logos")
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assert len(all_cross) == 7
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logos_only = graph.aligned_pairs("cross_lang.logos.utterance")
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assert len(logos_only) == 1
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assert logos_only[0].source_id == "he-001"
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def test_edges_from_source():
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graph = load_alignment("grc_logos_micro_v1")
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edges = graph.edges_from("grc-001")
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assert len(edges) == 1
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assert edges[0].target_id == "he-001"
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# ---------------------------------------------------------------------------
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# HolonomyAlignmentCase formal proof
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# ---------------------------------------------------------------------------
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def _encode(manifold, tokens: list[str]) -> np.ndarray:
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return holonomy_encode([manifold.get_versor(t) for t in tokens])
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def test_holonomy_alignment_case_positive_closer_than_negative():
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"""
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Crown proof case: positive aligned triple must be geometrically closer
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than the negative (misaligned) triple.
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This wraps the geometry proven in test_holonomy_resonance.py into the
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formal HolonomyAlignmentCase schema type, so the proof is both
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machine-checkable and linked to the schema's contract.
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"""
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case = HolonomyAlignmentCase(
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case_id="HAC-001",
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description=(
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"Aligned Logos clause (word/דבר/λόγος + beginning/ראשית/ἀρχή + truth/אמת/ἀλήθεια) "
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"produces closer holonomies across three languages than a misaligned clause "
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"substituting ζωή (vitality) for ἀλήθεια (truth)."
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),
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source_refs=("Gen1:1", "John1:1", "John14:6"),
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pack_ids=("en_minimal_v1", "he_logos_micro_v1", "grc_logos_micro_v1"),
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expected_relation="cross_lang.closer_than_negative",
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negative_source_refs=("John1:4",),
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tolerance=0.0,
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)
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# Validate the case schema itself
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assert case.case_id == "HAC-001"
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assert len(case.pack_ids) == 3
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assert len(case.source_refs) >= 2
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# Load packs
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_, en = load_pack("en_minimal_v1")
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_, he = load_pack("he_logos_micro_v1")
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_, grc = load_pack("grc_logos_micro_v1")
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# Positive triple: aligned canonical clause across all three languages
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en_h = _encode(en, ["word", "beginning", "truth"])
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he_h = _encode(he, ["\u05d3\u05d1\u05e8", "\u05e8\u05d0\u05e9\u05d9\u05ea", "\u05d0\u05de\u05ea"])
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grc_h = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u1f00\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1"])
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# Negative: replace ἀλήθεια with ζωή — different semantic domain
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grc_neg_h = _encode(grc, ["\u03bb\u03cc\u03b3\u03bf\u03c2", "\u1f00\u03c1\u03c7\u03ae", "\u03b6\u03c9\u03ae"])
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# Positive score: mean distance of aligned cross-language pair
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positive_dist = (
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np.linalg.norm(en_h - he_h) +
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np.linalg.norm(en_h - grc_h) +
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np.linalg.norm(he_h - grc_h)
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) / 3.0
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# Negative score: distance when Greek clause uses misaligned token
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negative_dist = (
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np.linalg.norm(en_h - he_h) +
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np.linalg.norm(en_h - grc_neg_h) +
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np.linalg.norm(he_h - grc_neg_h)
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) / 3.0
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# The formal case assertion: aligned closer than misaligned
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assert positive_dist < negative_dist, (
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f"HolonomyAlignmentCase {case.case_id} failed: "
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f"positive_dist={positive_dist:.6f} >= negative_dist={negative_dist:.6f}. "
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f"Case: {case.description}"
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)
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def test_holonomy_alignment_case_schema_validation():
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"""HolonomyAlignmentCase must reject under-specified instances."""
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with pytest.raises(ValueError, match="at least two source_refs"):
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HolonomyAlignmentCase(
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case_id="BAD-001",
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description="missing refs",
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source_refs=("Gen1:1",), # only one
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pack_ids=("en_minimal_v1", "he_logos_micro_v1"),
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expected_relation="cross_lang.closer_than_negative",
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)
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with pytest.raises(ValueError, match="at least two pack_ids"):
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HolonomyAlignmentCase(
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case_id="BAD-002",
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description="missing packs",
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source_refs=("Gen1:1", "John1:1"),
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pack_ids=("en_minimal_v1",), # only one
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expected_relation="cross_lang.closer_than_negative",
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)
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