An open-bounded cybernetic case study of viable computing systems: Applying directive correlation to an algorithmic hot-swapping scenario

This paper presents an open-bounded case study of our Viable Computer System (VCS), the design grammar model innovating a hybrid VCS architectural representation of Beer's cybernetic Viable System Model (VSM). When applied to a previous genetically-modified system scenario, System One represents a metaphor for homeostasis. The set-theoretical framework defines research specifics, i.e. systems and their environments via algorithmic hot-swapping. Further functions and a set of disturbances are introduced, supplying a potential repertoire of tailored responses to open environmental change. Fundamental to promoting emergence, thus viability is Sommerhoff's concept of directive correlation and Ashby's notion of goal-directedness, i.e. the ability to achieve a goal-state under variations in the environment. Example identities exhibit potential for context-free portability including sets of values of environmental and behavioral variables and a set of outcomes allowing the system to develop an adaptive environmental model of fit responses illustrating temporal and autonomic properties of the VCS concept.