Predicate logic with anaphora

In this paper I make a case for a separate treatment of (singular) anaphoric pronouns within a predicate logic with anaphora (PLA). Discourse representation theoretic results (from Kamp 1981) can be formulated in a compositional way, without fid­dling with orthodox notions of scope and binding. In contrast with its predecessor dynamic predicate logic (Groenendijk and Stokhof 1991), the system of PLA is a proper extension of ordinary predicate logic and it has a genuine update semantics. Moreover, in contrast with other compositional reformulations of DRT, the seman­tics of PLA remains well within the bounds of ordinary, extensional type theory.