This paper is concerned with constraints on the interpretation of pronominal anaphora, in particular Condition B effects. It aims to contribute to a particular approach, initiated by Reinhart (Anaphora and semantic interpretation, 1983) and further developed elsewhere. It proposes a modification of Reinhart’s Interface Rule, and argues that the resulting theory compares favorably with others, while being compatible with independently motivated general hypotheses about the interaction between different interpretive mechanisms.