| """Typed-graph motif generator (predeclared, rejection-sampled). |
| |
| Faithful port of ../topology/src/generalized_trajectory_experiment.py to a TYPED |
| knowledge graph. The topology program generates opaque-symbol traces; we generate |
| walks over a ROLE GRAPH (claim/record/method/metric/domain/verdict) where each |
| step carries a typed edge (SUPPORTS, WEAKENS, USES_METHOD, ...). This makes the |
| output resemble real knowledge subgraphs while staying identity-free after |
| canonicalization. |
| |
| Generation (mirrors the topology program): |
| 1. Walk the role graph from a focal role (claim), depth-bounded. |
| 2. At each step pick a random incident typed edge; decide recurrence vs new node |
| (constrained so all roles get introduced, like generate_candidate_trace). |
| 3. Keep skeletons with >=2 structural properties (recurrence/branch/convergence/ |
| repeated_subtrace/loop_closure). Reject simple paths (already falsified). |
| 4. Dedupe skeletons by typed canonical signature. |
| 5. Instantiate each skeleton K times with disjoint labels per role slot. |
| |
| Why this is not circular: families are SAMPLED from a fixed grammar before any |
| retrieval runs. Consolidation is a property of the generator's output, not an |
| input to it. The benchmark then asks whether retrieval can recover the right |
| family from partial evidence, against degree-matched controls the generator |
| also produces. |
| """ |
|
|
| from __future__ import annotations |
|
|
| import random |
| from collections import Counter, defaultdict |
| from collections.abc import Sequence |
| from dataclasses import dataclass, field |
|
|
| from graph_dataset import TypedGraph, walks_for |
| from signature import WalkStep, typed_canonical_signature |
|
|
| |
| |
| |
| |
|
|
| ROLES = ("claim", "record", "method", "metric", "domain", "verdict") |
|
|
| |
| ROLE_EDGES: list[tuple[str, str, str]] = [ |
| ("record", "SUPPORTS", "claim"), |
| ("record", "WEAKENS", "claim"), |
| ("record", "CONTRADICTS", "claim"), |
| ("record", "USES_METHOD", "method"), |
| ("record", "MEASURES", "metric"), |
| ("record", "IN_DOMAIN", "domain"), |
| ("record", "HAS_VERDICT", "verdict"), |
| ("claim", "SUPERSEDED_BY", "claim"), |
| ("claim", "DERIVES_FROM", "claim"), |
| ] |
|
|
| |
| ROLE_ADJ: dict[str, list[tuple[str, str, str]]] = defaultdict(list) |
| for src, et, tgt in ROLE_EDGES: |
| ROLE_ADJ[src].append((et, "out", tgt)) |
| ROLE_ADJ[tgt].append((et, "in", src)) |
| for k in ROLE_ADJ: |
| ROLE_ADJ[k].sort() |
|
|
|
|
| @dataclass(frozen=True) |
| class Skeleton: |
| """A motif skeleton over the role graph. |
| |
| trace : canonical node ids (first-occurrence encoding) |
| node_roles : role of each canonical node id (index = node id) |
| edge_labels : (edge_type, direction) per transition, aligned with trace[1:] |
| properties : structural tags (recurrence/branch/convergence/...) |
| """ |
| trace: tuple[int, ...] |
| node_roles: tuple[str, ...] |
| edge_labels: tuple[tuple[str, str], ...] |
| properties: tuple[str, ...] |
|
|
| def role_of(self, node_id: int) -> str: |
| return self.node_roles[node_id] |
|
|
| def signature_key(self) -> str: |
| """The typed canonical signature key, computed from a canonical walk.""" |
| walk = self._canonical_walk() |
| return typed_canonical_signature(walk).key() |
|
|
| def _canonical_walk(self) -> list[WalkStep]: |
| |
| |
| steps: list[WalkStep] = [(str(self.trace[0]), None, None)] |
| for i in range(1, len(self.trace)): |
| et, direction = self.edge_labels[i - 1] |
| steps.append((str(self.trace[i]), et, direction)) |
| return steps |
|
|
|
|
| |
| |
| |
|
|
| def _properties(trace: Sequence[int], edge_labels: Sequence[tuple[str, str]]) -> tuple[str, ...]: |
| props: list[str] = [] |
| if len(set(trace)) < len(trace): |
| props.append("recurrence") |
| successors: dict[int, set[int]] = defaultdict(set) |
| predecessors: dict[int, set[int]] = defaultdict(set) |
| edge_pairs: Counter[tuple[int, str, str, int]] = Counter() |
| for i in range(1, len(trace)): |
| a, b = trace[i - 1], trace[i] |
| lab = edge_labels[i - 1] |
| successors[a].add(b) |
| predecessors[b].add(a) |
| edge_pairs[(a, lab[0], lab[1], b)] += 1 |
| if any(len(v) >= 2 for v in successors.values()): |
| props.append("branch") |
| if any(len(v) >= 2 for v in predecessors.values()): |
| props.append("convergence") |
| if any(c >= 2 for c in edge_pairs.values()): |
| props.append("repeated_subtrace") |
| if len(trace) > 2 and trace[-1] == trace[0]: |
| props.append("loop_closure") |
| return tuple(props) |
|
|
|
|
| |
| |
| |
|
|
| def _generate_walk( |
| rng: random.Random, max_depth: int, max_nodes: int |
| ) -> list[tuple[str, str, str, str]] | None: |
| """One random walk over the role graph. Returns steps as (node_label, role, edge_type, direction). |
| |
| node_label is a fresh concrete id per slot so recurrence is explicit. Returns |
| None if the walk couldn't stay type-consistent within bounds. |
| """ |
| focal = "claim" |
| |
| slots: list[tuple[str, int]] = [(focal, 0)] |
| role_counters: Counter[str] = Counter({focal: 1}) |
| steps: list[tuple[int, str, str, str]] = [(0, focal, "", "")] |
| depth = 0 |
| while depth < max_depth: |
| cur_slot, cur_role, _, _ = steps[-1] |
| options = ROLE_ADJ[cur_role] |
| if not options: |
| break |
| et, direction, nbr_role = rng.choice(options) |
| |
| existing = [i for i, (r, _) in enumerate(slots) if r == nbr_role] |
| can_new = role_counters[nbr_role] < max_nodes // len(ROLES) + 1 |
| if existing and (not can_new or rng.random() < 0.5): |
| nbr_slot = rng.choice(existing) |
| elif can_new: |
| role_counters[nbr_role] += 1 |
| slots.append((nbr_role, role_counters[nbr_role])) |
| nbr_slot = len(slots) - 1 |
| else: |
| break |
| steps.append((nbr_slot, nbr_role, et, direction)) |
| depth += 1 |
| if len(steps) < 4: |
| return None |
| |
| out = [(f"n{s}", role, et, direction) for (s, role, et, direction) in steps] |
| return out |
|
|
|
|
| def _walk_to_skeleton(walk: list[tuple[str, str, str, str]]) -> Skeleton: |
| ids: dict[str, int] = {} |
| trace: list[int] = [] |
| node_roles_by_id: dict[int, str] = {} |
| for node_label, role, _et, _dir in walk: |
| if node_label not in ids: |
| ids[node_label] = len(ids) |
| node_roles_by_id[ids[node_label]] = role |
| trace.append(ids[node_label]) |
| edge_labels = [(et, dir_) for (_n, _r, et, dir_) in walk[1:]] |
| props = _properties(trace, edge_labels) |
| return Skeleton( |
| trace=tuple(trace), |
| node_roles=tuple(node_roles_by_id[i] for i in range(len(node_roles_by_id))), |
| edge_labels=tuple(edge_labels), |
| properties=props, |
| ) |
|
|
|
|
| def generate_skeletons( |
| *, count: int, seed: int = 20260706, max_depth: int = 8, max_nodes: int = 9, |
| min_properties: int = 2, max_attempts: int = 50_000, |
| ) -> list[Skeleton]: |
| """Rejection-sample `count` unique skeletons with >=min_properties structural props.""" |
| rng = random.Random(seed) |
| skeletons: list[Skeleton] = [] |
| seen: set[str] = set() |
| attempts = 0 |
| while len(skeletons) < count and attempts < max_attempts: |
| attempts += 1 |
| walk = _generate_walk(rng, max_depth=max_depth, max_nodes=max_nodes) |
| if walk is None: |
| continue |
| skel = _walk_to_skeleton(walk) |
| if len(skel.properties) < min_properties: |
| continue |
| if len(set(skel.trace)) == len(skel.trace): |
| continue |
| key = skel.signature_key() |
| if key in seen: |
| continue |
| seen.add(key) |
| skeletons.append(skel) |
| if len(skeletons) < count: |
| raise RuntimeError( |
| f"generated only {len(skeletons)} of {count} skeletons after {attempts} attempts" |
| ) |
| return skeletons |
|
|
|
|
| |
| |
| |
|
|
| _ROLE_PREFIX = {"claim": "K", "record": "L", "method": "M", "metric": "Q", "domain": "D", "verdict": "V"} |
|
|
|
|
| @dataclass |
| class Instance: |
| family: str |
| labels: tuple[str, ...] |
| edges: list[tuple[str, str, str]] = field(default_factory=list) |
| walk: list = field(default_factory=list) |
|
|
| def focal_node(self) -> str: |
| return self.labels[0] |
|
|
|
|
| def instantiate_skeleton(skel: Skeleton, family: str, k: int) -> list[Instance]: |
| """Produce k instances with disjoint labels. Each instance is a family member.""" |
| instances: list[Instance] = [] |
| for j in range(k): |
| labels: list[str] = [] |
| for node_id, role in enumerate(skel.node_roles): |
| prefix = _ROLE_PREFIX[role] |
| labels.append(f"{prefix}-{family}-{j:02d}-{node_id:02d}") |
| edges: list[tuple[str, str, str]] = [] |
| |
| |
| |
| |
| walk: list[tuple] = [(labels[skel.trace[0]], None, None)] |
| for i in range(1, len(skel.trace)): |
| a, b = skel.trace[i - 1], skel.trace[i] |
| et, _direction = skel.edge_labels[i - 1] |
| if _direction == "in": |
| edges.append((labels[b], et, labels[a])) |
| else: |
| edges.append((labels[a], et, labels[b])) |
| walk.append((labels[skel.trace[i]], et, _direction)) |
| instances.append(Instance(family=family, labels=tuple(labels), edges=edges, walk=walk)) |
| return instances |
|
|
|
|
| def build_generated_graph( |
| *, n_families: int, instances_per: int, seed: int = 20260706, |
| max_depth: int = 8, max_nodes: int = 9, |
| ) -> tuple[TypedGraph, list[Skeleton], dict[str, list[Instance]]]: |
| """Generate skeletons, instantiate, and emit one TypedGraph containing all families.""" |
| skeletons = generate_skeletons(count=n_families, seed=seed, max_depth=max_depth, max_nodes=max_nodes) |
| all_instances: dict[str, list[Instance]] = {} |
| nodes: dict[str, str] = {} |
| edges: list[tuple[str, str, str]] = [] |
| for idx, skel in enumerate(skeletons): |
| family = f"gen_{idx:03d}" |
| insts = instantiate_skeleton(skel, family, instances_per) |
| all_instances[family] = insts |
| for inst in insts: |
| for node_id, role in enumerate(skel.node_roles): |
| nodes[inst.labels[node_id]] = role |
| edges.extend(inst.edges) |
| g = TypedGraph(nodes=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 in d: |
| d[k].sort() |
| return g, skeletons, all_instances |
|
|
|
|
| |
| |
| |
| |
| |
| |
| |
| |
|
|
| def _continue_prefix( |
| rng: random.Random, skel: Skeleton, share_k: int, max_total_depth: int, max_nodes: int, |
| ) -> Skeleton: |
| """Continue a skeleton's first share_k steps into a NEW full skeleton. |
| |
| Reconstructs the canonical trace/role/edge state from the shared prefix, then |
| appends random role-graph steps (recurrence vs new slot) until depth bound. |
| Returns a fresh Skeleton that shares the prefix with `skel`. |
| """ |
| trace = list(skel.trace[:share_k]) |
| node_roles_by_id: dict[int, str] = {nid: skel.node_roles[nid] for nid in trace} |
| edge_labels: list[tuple[str, str]] = list(skel.edge_labels[: share_k - 1]) |
| role_counters: Counter[str] = Counter(node_roles_by_id.values()) |
| cur = trace[-1] |
| depth = len(trace) |
| while depth < max_total_depth: |
| cur_role = node_roles_by_id[cur] |
| options = ROLE_ADJ[cur_role] |
| if not options: |
| break |
| et, direction, nbr_role = rng.choice(options) |
| existing = [nid for nid in set(trace) if node_roles_by_id.get(nid) == nbr_role] |
| can_new = role_counters[nbr_role] < max_nodes // len(ROLES) + 1 |
| if existing and (not can_new or rng.random() < 0.5): |
| nbr = rng.choice(existing) |
| elif can_new: |
| new_id = max(trace) + 1 |
| node_roles_by_id[new_id] = nbr_role |
| role_counters[nbr_role] += 1 |
| trace.append(new_id) |
| nbr = new_id |
| else: |
| break |
| edge_labels.append((et, direction)) |
| cur = nbr |
| depth += 1 |
| props = _properties(trace, edge_labels) |
| node_count = max(trace) + 1 |
| return Skeleton( |
| trace=tuple(trace), |
| node_roles=tuple(node_roles_by_id[i] for i in range(node_count)), |
| edge_labels=tuple(edge_labels), |
| properties=props, |
| ) |
|
|
|
|
| def generate_prefix_shared_pairs( |
| base_skeletons: list[Skeleton], *, share_fraction: float = 0.5, |
| seed: int = 20260707, max_depth: int = 8, max_nodes: int = 9, |
| max_attempts: int = 5000, |
| ) -> list[tuple[Skeleton, Skeleton, int]]: |
| """For each base skeleton, build a partner sharing the first k=share_fraction*len steps. |
| |
| Rejection-samples the continuation until the partner is valid (>=2 properties, |
| has recurrence) AND has a different full signature from the base. Returns |
| (base, partner, share_k) triples. |
| """ |
| rng = random.Random(seed) |
| pairs: list[tuple[Skeleton, Skeleton, int]] = [] |
| for base in base_skeletons: |
| share_k = max(3, int(len(base.trace) * share_fraction)) |
| if share_k >= len(base.trace): |
| continue |
| attempts = 0 |
| chosen = None |
| base_key = base.signature_key() |
| while attempts < max_attempts: |
| attempts += 1 |
| cand = _continue_prefix(rng, base, share_k, max_total_depth=max_depth, max_nodes=max_nodes) |
| if len(cand.properties) < 2: |
| continue |
| if len(set(cand.trace)) == len(cand.trace): |
| continue |
| if cand.signature_key() == base_key: |
| continue |
| |
| if cand.trace[:share_k] != base.trace[:share_k]: |
| continue |
| if cand.edge_labels[: share_k - 1] != base.edge_labels[: share_k - 1]: |
| continue |
| |
| |
| |
| |
| |
| |
| |
| if len(cand.trace) <= share_k: |
| continue |
| node_diff = cand.trace[share_k] != base.trace[share_k] if share_k < len(base.trace) else True |
| edge_diff = ( |
| share_k - 1 < len(cand.edge_labels) and share_k - 1 < len(base.edge_labels) |
| and cand.edge_labels[share_k - 1] != base.edge_labels[share_k - 1] |
| ) |
| if not (node_diff or edge_diff): |
| continue |
| chosen = cand |
| break |
| if chosen is not None: |
| pairs.append((base, chosen, share_k)) |
| return pairs |
|
|
|
|
| def build_generated_graph_with_polysemy( |
| *, n_disjoint_families: int, n_polysemy_bases: int, instances_per: int, |
| seed: int = 20260706, max_depth: int = 8, max_nodes: int = 9, |
| share_fraction: float = 0.5, |
| ) -> tuple[TypedGraph, list[Skeleton], dict[str, list[Instance]], |
| list[tuple[str, str, int]], dict[str, list[Instance]]]: |
| """Generate disjoint families + polysemy pairs and emit one TypedGraph. |
| |
| Returns (graph, disjoint_skeletons, disjoint_instances, polysemy_pairs_meta, |
| polysemy_instances). Polysemy pair families are named poly_A_NNN / poly_B_NNN |
| so the relaxation can ask 'does the shared prefix keep both active?' |
| """ |
| disjoint_skeletons = generate_skeletons( |
| count=n_disjoint_families, seed=seed, max_depth=max_depth, max_nodes=max_nodes) |
| |
| poly_bases = generate_skeletons( |
| count=n_polysemy_bases, seed=seed + 1, max_depth=max_depth, max_nodes=max_nodes) |
| pairs = generate_prefix_shared_pairs( |
| poly_bases, share_fraction=share_fraction, seed=seed + 2, |
| max_depth=max_depth, max_nodes=max_nodes) |
|
|
| all_instances: dict[str, list[Instance]] = {} |
| nodes: dict[str, str] = {} |
| edges: list[tuple[str, str, str]] = [] |
|
|
| def emit(family: str, skel: Skeleton) -> None: |
| insts = instantiate_skeleton(skel, family, instances_per) |
| all_instances[family] = insts |
| for inst in insts: |
| for node_id, role in enumerate(skel.node_roles): |
| nodes[inst.labels[node_id]] = role |
| edges.extend(inst.edges) |
|
|
| for idx, skel in enumerate(disjoint_skeletons): |
| emit(f"gen_{idx:03d}", skel) |
|
|
| polysemy_meta: list[tuple[str, str, int]] = [] |
| polysemy_instances: dict[str, list[Instance]] = {} |
| for idx, (base, partner, share_k) in enumerate(pairs): |
| fa = f"poly_A_{idx:03d}" |
| fb = f"poly_B_{idx:03d}" |
| emit(fa, base) |
| emit(fb, partner) |
| polysemy_meta.append((fa, fb, share_k)) |
| polysemy_instances[fa] = all_instances[fa] |
| polysemy_instances[fb] = all_instances[fb] |
|
|
| g = TypedGraph(nodes=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 in d: |
| d[k].sort() |
| return g, disjoint_skeletons, all_instances, polysemy_meta, polysemy_instances |
|
|