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1 Journal of Language Modelling

1 2017

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Factivity and presupposition in Dependent Type Semantics

Tanaka R., Mineshima K., Bekki D.

Journal of Language Modelling

2017

Vol. 5, No. 2

385--420

Dependent type theory has been applied to natural language semantics to provide a formally precise and computationally adequate account of dynamic aspects of meaning. One of the frameworks of natural language semantics based on dependent type theory is Dependent Type Semantics (DTS), which focuses on the compositional interpretations of anaphoric expressions. In this paper, we extend the framework of DTS with a mechanism to handle logical entailment and presupposition associated with factive verbs such as know. Using the notion of proof objects as first-class objects, we provide a compositional account of presuppositional inferences triggered by factive verbs. The proposal also gives a formal reconstruction of the type-distinction between propositions and facts, and thereby accounts for the lexical semantic differences between factive and non-factive verbs in a typetheoretical setting.