The initial computational prototype (v1.0) successfully demonstrated that a simple rule of self-consistency, modeled as Ontological Closure, could lead to the emergence of transitivity as a necessary condition for relational stability. This validated the core concept that fundamental rules might arise from consistency principles. However, this prototype was limited, using simple graphs without properties and acting only as a filter for pre-defined structures. This highlighted the need for a more comprehensive framework. The subsequent v2.0/v3.0/v4.0 formalisms represent a significant evolution, introducing attributed graphs, complex generative rules, and a dynamic optimization principle ($L_A$) to model the emergence of diverse patterns, their properties (AQNs), interactions ($I_R$), and spacetime, aiming to computationally generate observed physical reality from first principles. The v1.0 prototype served as a crucial initial step, providing confidence in the approach and paving the way for the current, more ambitious generative framework.