  Having a model and being able to implement open-ended evolutionary systems is
important for advancing our understanding of open-endedness. Complex systems
science and newest generation high-level programming languages provide
intriguing possibilities to do so. First, some recent advances in modelling and
implementing open-ended evolutionary systems are reviewed. Then, the so-called
allagmatic method is introduced that describes, models, implements, and allows
interpretation of complex systems. After highlighting some current modelling
and implementation challenges, model building blocks of open-ended evolutionary
systems are identified, a system metamodel of open-ended evolution is
formalised in the allagmatic method, an implementation self-modifying code
prototype with a high-level programming language is provided, and guidance from
the allagmatic method to create code blocks is described. The proposed
prototype allows modifying code at runtime in a controlled way within a system
metamodel. Since the allagmatic method has been built based on metaphysical
concepts borrowed from Gilbert Simondon and Alfred N. Whitehead, the proposed
prototype provides a promising starting point to interpret novelty generated at
runtime with the help of a metaphysical framework.
