Accessibility for Plurals in Continuation Semantics

Abstract. This paper accounts for the semantics of plurality, in partic-ular, the accessibility relation for plural anaphoras. Two types of dis-course antecedents formations, inherited from the classical treatment [14], namely summation and abstraction, are studied in detail. Solu-tions for each phenomenon are provided respectively by introducing two new functions Sum and Abs, for obtaining the semantic interpretations. The technical background in this paper is based on a recently proposed dynamic semantic framework [9], which pertains a style of the tradi-tional Montague Grammar and the principle of compositionality, without adding any new concept to classical logic