2013 | OriginalPaper | Buchkapitel
Accessibility for Plurals in Continuation Semantics
verfasst von : Sai Qian, Maxime Amblard
Erschienen in: New Frontiers in Artificial Intelligence
Verlag: Springer Berlin Heidelberg
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This paper accounts for the semantics of plurality, in particular, the accessibility relation for plural anaphora. Two types of discourse antecedents formations, inherited from the classical treatment [16], namely summation and abstraction, are studied in detail. Solutions for each phenomenon are provided respectively by introducing two new functions
$\mathfrak{Sum}$
and
$\mathfrak{Abs}$
, for obtaining the semantic interpretations. The technical background in this paper is based on a recently proposed dynamic semantic framework [10], which pertains a style of the traditional Montague Grammar and the principle of compositionality, without adding any new concept to classical logic.