Using Failures and Category Theory to Verify Process Communications between Design and Implementation of Concurrent Systems

The process-oriented design and implementation of concurrent systems have important advantages. However, it is challenging to verify the consistency of process communications between the design and the implementation. To deal with such a challenge, we construct a formal framework for designing, implementing and verifying the consistency of process communications. In this framework, we use Failures in Communicating Sequential Processes (CSP), Erasmus and Category Theory as the foundation. The framework is illustrated by using a running example.