Symbolic Chemical System based on Abstract Rewriting System and its halting property

摘要

We develop an abstract computational model, called ARMS, to deal with systems with large degrees of freedom like liquid and confirm that it can simulate the emergence of the complex behavior of cycles such as the emergence of autocatalytic cycles, their period-doubling and fusion of cycles often found in the emergence of life. Furthermore, we clarify the conditions in which ARMS generates cycles through the theoretical investigation about ARMS.