In the last decade, members of the computational lingt, is- tics community have adopted a perspective on discourse based primarily on either Rhetorical Structure Theory or Grosz and Sidner's Theory. However, only recently, re.+ searchers have started to investigate the relationship be- tween the two perspectives. In this paper, we use Moscr and Moore's (1996) work as a departure point for extend- ing Marcu's formalization of RST (1996). The result is a tirst-order axiomatization of the mathematical prol+er- ties o1' text structures and of the rehttionship between the strttcture of text and intentions. The axiomatization en- ables one lo use intentions for reducing the ambiguity o1' discourse and the structure of discourse for deriving in- tentional inferences. I Motivation I n the last dec...

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