Logical Foundations for Reasoning in Cyber - Physical Systems

This paper aims at building the causal relations and event structures13 to study the complex and evolving cyber – physical systems with illustrations of the reasoning based on Robotics24 and Policy Analysis25 for Communication Systems. An empirical analysis points to the realism that network security is also a geometric theory with safety and authentication tending to geometric formulae that make the larger structures. Security is very much a matter of perception too. The proposed approach also factors the perceptual aspects of the human mind. This paper includes several interesting possibilities for using linear algebra, discrete mathematics, analysis, and topology in the domains such as economics, game theory, robotics and biology to mention a few.