Optimal Seeding and Self-Reproduction from a Mathematical Point of View

TL;DR

This paper introduces a new approach to understanding self-reproducing systems by redefining generation theory, providing solutions for optimal seeding, and linking self-replication to fixed-point theory.

Contribution

It offers an alternative definition of generation systems and a complete method for finding optimal seeds in finite self-replicating systems, connecting self-replication with fixed-point theory.

Findings

Complete solution for optimal seed identification

New definition of generation systems

Illustrative examples linking self-replication and fixed points

Abstract

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.