Cloud computing systems play a vital role in national securi-ty.This paper describes a conceptual framework called dual-system architecture for protecting computing environments.While attempting to be logical and rigorous,formalism meth-od is avoided and this paper chooses algebra CommunicationSequential Process. Cloud computing systems play a vital role in national securi-ty. This paper describes a conceptual framework called dual-system architecture for protecting computing environments. Whilst attempting to be logical and rigorous, formalism meth-od is avoided and this paper chooses algebra Communication Sequential Process .