In a large, distributed environment, the number of actual policies can quickly become substantial. Moreover, different stakeholders can each describe a set of policies. Such a set may interact with the policies of other actors. Therefore, reasoning about policies has become a necessity, for instance for detecting possible conflicts, inclusion, etc. Semantic Web technologies offer support for reasoning - but this support is insufficient. This paper presents an approach to support enhanced reasoning capabilities by combining the best of two worlds: a solution based on Semantic Web technologies on the one hand, and a general-purpose rule language on the other hand. We illustrate how such a hybrid reasoning system can improve policy management in complex distributed service platforms.