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plan: design parameterised relations — Slice 6 (role signature: a+b+c) & Slice 7 (algebra: d)
Capture the Relation<…> design from the discussion. The reframe: the parameters split
into two halves — the role SIGNATURE (shape of a tuple: per-role type a, arity b,
cardinality c) and the relation's ALGEBRA (behaviour: transitivity/symmetry/inverse/
sub-relations d). A relation is Relation<signature>; today's binary typed relations are
the degenerate 2-role case.

Slice 6: generalise :rel to a :roles signature; (a) per-role type = the declares-anchor
made explicit, (b) arity needs reification (instance-posts) for n-ary, (c) cardinality by
counting. Nominal variance, JIT caveat for n-ary role iteration.

Slice 7: declared algebraic properties with GENERIC closure (retires the hardcoded
is-a/subtype closure — OWL property characteristics); real inverse relations; sub-relations.
Decidable core stops here; defined-by-rule + cross-role predicates fenced behind the
predicate-language decision.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-06-30 09:26:30 +00:00
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