In this paper, we present generic algorithms to ensure the consistency of mutual-exclusion and binding constraints in a business process context. We repeatedly identified the need for such generic algorithms in our real-world projects. Thus, the algorithms are a result of the experiences we gained in analyzing, designing, and implementing a number of corresponding software systems and tools. In particular, these algorithms check corresponding consistency requirements to prevent constraint conflicts and to ensure the design-time and runtime compliance of a process-related role-based access control (RBAC) model.