Scope and Anaphoric Links in Dynamic Discourse Representation Theory

This paper analyzes anaphoric links in conditional and quantificational structures in which more than one operator occurs. To this end, we adopt the indexing system and the basic principles of Dynamic Discourse Representation Theory proposed by Chung (2008a, 2008b, 2009) and extend them to the structures in question. We also propose that a restrictor discourse representation structure of a quantification or conditional operator is an island which blocks any quantification or conditional operator inside it from introducing its own restrictor DRS out of it. This implies that a quantifier phrase can have wide scope over another quantifier or conditional operator only when the first occurs in the scope DRS of the latter.