This is Kruszewski’s approach to artificial life, based on artificial chemistry. Combinatory logic is used as a basis for this system. Conservation laws are added on top of the set of rules that make combinatory logic Turing complete. This is then used to observe interesting dynamics and pre-life-like processes.
- Kruszewski, Germán, and Tomas Mikolov. March 17, 2020. "Combinatory Chemistry: Towards a Simple Model of Emergent Evolution". arXiv:2003.07916 [Nlin, Q-Bio]. http://arxiv.org/abs/2003.07916.