Relation between closure notions and novelty in emergence

Clarify the relationship between informational closure, causal closure, and computational closure (as defined by Rosas et al.) and the criterion of novelty used to define emergence; in particular, ascertain whether novelty implies any of these closures or whether any closure implies novelty, and under what conditions.

Background

Rosas et al. formalize multiple kinds of closure for emergent systems and show specific equivalences and relative restrictiveness among them. The author adopts novelty as the defining feature of emergence, but notes uncertainty about how these closure concepts connect to novelty.

Establishing precise logical relationships would integrate recent formal frameworks with the novelty-based definition, helping to unify cross-disciplinary approaches.