Pietro Speroni di Fenizio, Peter Dittrich (2002)
Artificial Chemistry’s Global Dynamic. Movement in the Lattice of Organisations
invited paper for: HC2002. Fifth International Conference on Humans and Computers, Aizu.
reprinted for: The Journal of Three Dimensional Images, 16(4):160-163.
pdf,

Abstract:
As artificial life is the study of life as it could be, artificial chemistry can be seen as the study of chemistry as it could be. In such systems molecules interact to generate new molecules, possibly different from the original ones. Here, we will focus on a general theoretical approach to study artificial chemistries. In this approach we consider the set of all possible organisations (closed and self-maintaining sets) in an artificial chemistry. As was shown in [2, 3] this set generates a lattice. We consider the dynamical movement of a system in this lattice, under the influence of its inner dynamic and random noise. We notice that some organisations, while being algebraically closed, are not stable under the influence of random external noise. While others, while being algebraically self-maintaining, do not dynamically self-maintain all their elements. This leads to a definition of attractive organisations