Symbolic chemical system based on abstract rewriting system and its behavior pattern

Abstract

We develop an abstract computational model, the abstract rewriting system on multisets, called ARMS, to deal with systems with a large number of degree of freedom, like liquids, and to confirm that they can simulate the emergence of the complex behavior of cycles, such as autocatalytic cycles, with their period-doubling and fusion of cycles, which are often found in the emergence of life. Furthermore, we clarify the conditions in which ARMS generates cycles through the theoretical investigation of ARMS.