This seems to be the most important part of this paper as it is the hearth of arithmetical networks modeling.
In order to compute your equations, AriNET provides a list of commands you have to use in a particular form. As the syntax required by AriNET is close to the one used by PLT Scheme, it should not be much work for Scheme (or even LISP) users to understand AriNET. However for the beginners in list processing languages, there is a need for some basic explanations to be given.