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Privacy policies often place restrictions on the purposes for which a governed entity may use personal information. For example, regulations, such as the Health Insurance Portability and Accountability Act (HIPAA), require that hospital employees use medical information for only certain purposes, such as treatment, but not for others, such as gossip. Thus, using formal or automated methods for enforcing privacy policies requires a semantics of purpose restrictions to determine whether an action is for a purpose or not. We provide such a semantics using a formalism based on planning. We model planning using a modified version of Markov Decision Processes (MDPs), which exclude redundant actions for a formal definition of redundant. We argue that an action is for a purpose if and only if the action is part of a plan for optimizing the satisfaction of that purpose under the MDP model. We use this formalization to define when a sequence of actions is only for or not for a purpose. This semantics enables us to create and implement an algorithm for automating auditing, and to describe formally and compare rigorously previous enforcement methods. To validate our semantics, we conduct a survey to compare our semantics to how people commonly understand the word "purpose".