Helping to advance a valuable paradigm shift in the next generation and processing of knowledge, this seminal work provides a comprehensive model for constructing a contextually based processing system that can support advanced semantic web and cloud computing capabilities at a global scale. It explores the components of the system, the interactions of the components, key mathematical foundations behind the model, and new concepts necessary for operating the system. The book also describes numerous cutting-edge applications and research directions for contextual processing and offers novel methods for addressing the producer-consumer problem.