basin-retrieval / code /core /graph_dataset.py
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"""Dataset B: typed knowledge graph for motif-topology retrieval.
Replaces the phase-0 toy semantic world. The phase-0 world was a bag of
attributes on a taxonomic PATH, which the topology program already falsified as
"simple unlabeled paths are enough" -> Falsified (see
../topology/docs/research_program/claim_review_final.md). A path has no
recurrence topology, which is why ordered==unordered==typed there.
This dataset is a typed directed graph whose memory objects (rooted walks) have
real recurrence: shared intermediates create diamonds. Example motif:
K-001 <--SUPPORTS-- L-001 --USES_METHOD--> long_window_motifs
^ ^
|--WEAKENS--- L-002 --USES_METHOD----------+
Both records point at K-001 and share the method `long_window_motifs`, so a
depth-2 walk from K-001 revisits the method node -> recurrence -> a canonical
motif exists. Three claims built on the same typed diamond consolidate.
Motif families (each >=2 symbolically-disjoint instances so they consolidate):
contested_claim : SUPPORTS + WEAKENS records sharing a method (diamond)
validated_claim : single SUPPORTS record (star; expected WEAK motif, like a path)
superseded_claim : SUPPORTS + SUPERSEDED_BY another claim (chain recurrence)
The validated_claim family is included ON PURPOSE as a predicted-weak control:
per the topology falsification, a star has no recurrence and should NOT
consolidate into a discriminative motif. If it does as well as the diamond,
something is wrong.
"""
from __future__ import annotations
from collections.abc import Iterable
from dataclasses import dataclass, field
# ---------------------------------------------------------------------------
# graph model
# ---------------------------------------------------------------------------
# node "kind" is metadata, not part of the canonical signature (signature is
# identity-free over node labels). It exists so humans can read the graph.
NODES: dict[str, str] = {
# claims
"K-001": "claim", "K-002": "claim", "K-003": "claim",
"K-004": "claim", "K-005": "claim",
"K-006": "claim", "K-007": "claim", "K-008": "claim", "K-009": "claim",
# learning records
"L-001": "record", "L-002": "record", "L-003": "record", "L-004": "record",
"L-005": "record", "L-006": "record", "L-007": "record", "L-008": "record",
"L-009": "record", "L-010": "record",
# shared intermediates (the source of recurrence)
"long_window_motifs": "method",
"short_window_motifs": "method",
"structural_signature": "method",
"degree_match_control": "method",
"true_inclusion": "metric",
"coverage": "metric",
"candidate_reduction": "metric",
"false_activation_rate": "metric",
"topology_memory": "domain",
"retrieval_specificity": "domain",
# verdicts are leaves
"passed": "verdict", "failed": "verdict", "inconclusive": "verdict",
}
# directed typed edges: (source, edge_type, target)
EDGES: list[tuple[str, str, str]] = [
# --- family: contested_claim (SUPPORTS + WEAKENS sharing a method) -------
# K-001 contested on topology_memory; both records use long_window_motifs
("L-001", "SUPPORTS", "K-001"),
("L-001", "USES_METHOD", "long_window_motifs"),
("L-001", "MEASURES", "true_inclusion"),
("L-001", "IN_DOMAIN", "topology_memory"),
("L-001", "HAS_VERDICT", "passed"),
("L-002", "WEAKENS", "K-001"),
("L-002", "USES_METHOD", "long_window_motifs"),
("L-002", "MEASURES", "coverage"),
("L-002", "IN_DOMAIN", "topology_memory"),
("L-002", "HAS_VERDICT", "failed"),
# K-002 contested on retrieval_specificity; both records use structural_signature
("L-003", "SUPPORTS", "K-002"),
("L-003", "USES_METHOD", "structural_signature"),
("L-003", "MEASURES", "candidate_reduction"),
("L-003", "IN_DOMAIN", "retrieval_specificity"),
("L-003", "HAS_VERDICT", "passed"),
("L-004", "WEAKENS", "K-002"),
("L-004", "USES_METHOD", "structural_signature"),
("L-004", "MEASURES", "coverage"),
("L-004", "IN_DOMAIN", "retrieval_specificity"),
("L-004", "HAS_VERDICT", "failed"),
# K-003 contested on topology_memory; both records use short_window_motifs
("L-005", "SUPPORTS", "K-003"),
("L-005", "USES_METHOD", "short_window_motifs"),
("L-005", "MEASURES", "true_inclusion"),
("L-005", "IN_DOMAIN", "topology_memory"),
("L-005", "HAS_VERDICT", "inconclusive"),
("L-006", "WEAKENS", "K-003"),
("L-006", "USES_METHOD", "short_window_motifs"),
("L-006", "MEASURES", "coverage"),
("L-006", "IN_DOMAIN", "topology_memory"),
("L-006", "HAS_VERDICT", "failed"),
# --- family: validated_claim (single SUPPORTS star; predicted-weak) -----
("L-007", "SUPPORTS", "K-004"),
("L-007", "USES_METHOD", "degree_match_control"),
("L-007", "MEASURES", "false_activation_rate"),
("L-007", "IN_DOMAIN", "retrieval_specificity"),
("L-007", "HAS_VERDICT", "passed"),
("L-008", "SUPPORTS", "K-005"),
("L-008", "USES_METHOD", "degree_match_control"),
("L-008", "MEASURES", "false_activation_rate"),
("L-008", "IN_DOMAIN", "retrieval_specificity"),
("L-008", "HAS_VERDICT", "passed"),
# --- family: superseded_claim (SUPPORTS + SUPERSEDED_BY chain) ----------
("L-009", "SUPPORTS", "K-006"),
("L-009", "USES_METHOD", "long_window_motifs"),
("L-009", "MEASURES", "true_inclusion"),
("L-009", "IN_DOMAIN", "topology_memory"),
("L-009", "HAS_VERDICT", "passed"),
("K-006", "SUPERSEDED_BY", "K-007"),
# NOTE: K-008 gets its OWN support record L-010 below (not a reuse of L-009).
# Reusing L-009 for both K-006 and K-008 coupled the two claims through the
# shared record and made their typed signatures differ (correct behavior,
# but it broke the "family consolidates >=2" design).
]
EDGES = [e for e in EDGES if not (e[0] == "L-007" and e[1] == "SUPPORTS" and e[2] == "K-008")]
EDGES += [
("L-010", "SUPPORTS", "K-008"),
("L-010", "USES_METHOD", "long_window_motifs"),
("L-010", "MEASURES", "true_inclusion"),
("L-010", "IN_DOMAIN", "topology_memory"),
("L-010", "HAS_VERDICT", "passed"),
("K-008", "SUPERSEDED_BY", "K-009"),
]
# focal entities whose rooted walks are the "memory objects" / retrieval targets
FOCAL_CLAIMS = ["K-001", "K-002", "K-003", "K-004", "K-005", "K-006", "K-008"]
FOCAL_RECORDS = ["L-001", "L-003", "L-005", "L-007", "L-009"]
# declared motif families for evaluation (focal claim -> expected family)
FAMILY_OF_CLAIM = {
"K-001": "contested_claim",
"K-002": "contested_claim",
"K-003": "contested_claim",
"K-004": "validated_claim",
"K-005": "validated_claim",
"K-006": "superseded_claim",
"K-008": "superseded_claim",
}
@dataclass
class TypedGraph:
nodes: dict[str, str]
out_edges: dict[str, list[tuple[str, str]]] = field(default_factory=dict)
in_edges: dict[str, list[tuple[str, str]]] = field(default_factory=dict)
def neighbors(self, node: str) -> list[tuple[str, str, str]]:
"""All incident edges as (other_node, edge_type, direction).
direction='out' means node->other via edge_type;
direction='in' means other->node via edge_type (traversed backward).
Reverse traversal is tagged so the typed signature can distinguish
'A supports B' (out) from 'A is-supported-by B' (in).
"""
out = [(tgt, et, "out") for (et, tgt) in self.out_edges.get(node, [])]
inn = [(src, et, "in") for (et, src) in self.in_edges.get(node, [])]
# deterministic order: by (edge_type, direction, other_node)
return sorted(out + inn, key=lambda e: (e[1], e[2], e[0]))
def build_graph() -> TypedGraph:
g = TypedGraph(nodes=dict(NODES))
for src, et, tgt in EDGES:
g.out_edges.setdefault(src, []).append((et, tgt))
g.in_edges.setdefault(tgt, []).append((et, src))
for d in (g.out_edges, g.in_edges):
for k, v in d.items():
v.sort()
return g
def rooted_walk(g: TypedGraph, root: str, max_depth: int = 2) -> list[tuple]:
"""Deterministic DFS walk from `root`.
Returns a list of steps. Step 0 is the root. Each subsequent step is
(node, edge_type, direction) describing the edge traversed to reach `node`
from the previous node in the walk. Direction in {'out','in'} (see neighbors).
Visited-set is per-branch (we allow revisiting a node if it sits on a
different incident edge, because recurrence is exactly what we want to
capture); we cap depth and total steps to stay bounded.
"""
walk: list[tuple] = [(root, None, None)]
# stack of (node, depth, path-set of canonical node ids on this branch)
stack = [(root, 0, (root,))]
# iterative DFS yielding in insertion order
while stack:
node, depth, branch_path = stack.pop(0)
if depth >= max_depth:
continue
for other, et, direction in g.neighbors(node):
step = (other, et, direction)
walk.append(step)
stack.append((other, depth + 1, branch_path + (other,)))
return walk
def walks_for(g: TypedGraph, focals: Iterable[str], max_depth: int = 2) -> dict[str, list[tuple]]:
return {f: rooted_walk(g, f, max_depth=max_depth) for f in focals}