An Inductive Formalization of Self Reproduction in Dynamical Hierarchies
This work addresses a foundational challenge in Artificial Life studies, but it appears incremental as it builds on existing concepts without demonstrating broad practical impact.
The paper tackles the problem of formalizing self-reproduction in dynamical hierarchies for Artificial Life by proposing an inductively defined algebraic framework, exploring existential results for macroscopic organizational levels under a dynamical system setting.
Formalizing self reproduction in dynamical hierarchies is one of the important problems in Artificial Life (AL) studies. We study, in this paper, an inductively defined algebraic framework for self reproduction on macroscopic organizational levels under dynamical system setting for simulated AL models and explore some existential results. Starting with defining self reproduction for atomic entities we define self reproduction with possible mutations on higher organizational levels in terms of hierarchical sets and the corresponding inductively defined `meta' - reactions. We introduce constraints to distinguish a collection of entities from genuine cases of emergent organizational structures.