Adds the four templates called out in docs/teaching_order.md so the formation
pipeline can ratify more than just definitional ontologies:
* composed_relation — Layer 4. Chains are the unit of mastery; each chain of
length >= 2 emits a composed_relations entry with composition_kind
(transitive | lifting), an inferred relation, and chain-break adversarial
probes drawn from counters or canned.
* procedural — ordered state transitions; strict_linear_topo refuses
branches, cycles, and disconnected components at render time.
ordering_hints validated against the linear chain. Canned violation
probes for precondition_violation / step_skip / back_edge.
* falsification — counter-example-driven. Counters move to Phase 2 paired
with coherent alternatives drawn from relations sharing the same head.
Unmatched counters surface in unmatched_counters; false-coherent probes
emitted per pair.
* identity_anchor — Layer 1 seeding. Concepts interpreted as identity axes
ranked by ordering_hints; counters interpreted as override attempts;
canned IDENTITY_OVERRIDE_PROBES always appended.
Common helpers extracted to formation/templates/_common.py: canonical
constants (MAX_VERSOR_CONDITION, RATIFICATION_GATES, PROMOTION_PATH,
IDENTITY_OVERRIDE_PROBES, NORMALIZATION_FORBIDDEN_SITES), deterministic
ordering (sorted_concepts/_counters/_hints, topo_sorted_relations,
strict_linear_topo), payload builders, geometric_dependencies,
maximal_chain_walks, adversarial_block, course_id, subject_payload,
substrate_invariants_payload, phase_5_payload.
formation/templates/__init__.py now dispatches via a lazy-import _REGISTRY
keyed by template_id; registered_template_ids() exposed for callers and
tests. definition.py refactored to use _common verbatim — byte-stability
preserved (existing test_compose.py still passes; test_sha_stable_across_
subprocess unchanged).
Tests: 44 new tests across test_template_{composed_relation,procedural,
falsification,identity_anchor,registry}.py. Each new template gets
determinism, paradigm-structure, error-handling, and cross-subprocess SHA
stability tests; registry test asserts the five known ids and that
identical inputs through different templates produce different SHAs.
Formation suite: 138 -> 182 passing. cognition (121) and smoke (67)
suites unchanged. ratify.py enforcement of the new paradigm-specific
gates (every_composed_relation_replayed, linear_order_strict, etc.)
remains a documented follow-up — templates declare the gates in their
phase_5 body so the ratifier extension is purely additive.
7feb239fdd