AIJun 20, 2018
Optimal Seeding and Self-Reproduction from a Mathematical Point of View
arXiv:1806.09506v23 citations
Originality Synthesis-oriented
AI Analysis
This work addresses theoretical challenges in self-reproducing systems, offering incremental improvements to existing mathematical frameworks.
The paper tackles the problem of finding optimal seeds for finite self-replicating systems by providing an alternative definition of generation systems and a complete solution, with examples linking self-replication to fixed-point theory.
P. Kabamba developed generation theory as a tool for studying self-reproducing systems. We provide an alternative definition of a generation system and give a complete solution to the problem of finding optimal seeds for a finite self-replicating system. We also exhibit examples illustrating a connection between self-replication and fixed-point theory.