Utility of coalgebra for modeling structural evolution

Ascertain the extent to which coalgebra can effectively model systems undergoing structural evolution and determine any necessary extensions or alternative formalisms to capture self-referential systems that transform their own organization over time.

Background

Coalgebra is presented as a promising mathematical framework for handling self-reference and unbounded behaviors while preserving set-theoretic clarity. However, life-like systems often undergo structural evolution, transforming their organization and rules.

The authors question whether coalgebra can handle such transformative dynamics, suggesting that its applicability to structurally evolving systems remains uncertain and may need augmentation or complementary approaches.