I will demonstrate the application of the reformulated theory with respect to anaphora resolution, In particular, I will show that with one choice of rankings, the OT forumlation is descriptively equivalent with regard to text interpretation to the widely used Centering algorithm proposed by Brennan, Friedman and Pollard (1987). However, the OT version is declarative, and can be used for generation as well as interpretation, as well as being applicable to rank texts as well as individual sentences. I argue that the reformulation opens up new research directions and offers a novel way to approach the wider goals of Centering Theory, placing it within an integrated model of discourse processing and conversational inference.