Abstract
Dependent type semantics (DTS) is a framework of discourse semantics based on dependent type theory, following the line of Sundholm (Handbook of Philosophical Logic, 1986) and Ranta (Type-Theoretical Grammar, 1994). DTS attains compositionality as required to serve as a semantic component of modern formal grammars including variations of categorial grammars, which is achieved by adopting mechanisms for local contexts, context-passing, and underspecified terms. In DTS, the calculation of presupposition projection reduces to type checking, and the calculation of anaphora resolution and presupposition binding both reduce to proof search in dependent type theory, inheriting the paradigm of anaphora resolution as proof construction.
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