Mathematical formulation of the organization level of an intelligent machine

A mathematical formulation of the organization level of an intelligent machine, modeled as a Knowledge Based (Expert) System is derived and analyzed. Characteristic functions of the organization level of such a machine are: machine reasoning, machine planning, decision making, feedback (learning) and memory exchange. Probabilistic models are used to express analytically their individual functions. Information Theory measures and concepts are utilized to describe quantitatively the flow of knowledge in that level as the machine operates. An example illustrates this approach.