Dynamic Montague grammar
| Abstract | In Groenendijk & Stokhof [1989] a system of dynamic predicate logic (DPL) was developed, as a compositional alternative for classical discourse representation theory (DRT ). DPL shares with DRT the restriction of being a first-order system. In the present paper, we are mainly concerned with overcoming this limitation. We shall define a dynamic semantics for a typed language with λ-abstraction which is compatible with the semantics DPL specifies for the language of first-order predicate logic. We shall propose to use this new logical system as the semantic component of a Montague-style grammar (referred to as dynamic Montague grammar, DMG), which will enable us to extend the compositionality of DPL to the subsentential level. Furthermore, we shall extend this analysis also in this sense that we shall add new, dynamic interpretations for logical constants which in DPL were treated in a static fashion. This will substantially increase the descriptive coverage of DMG. | |||||||||
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Jan Eijck & Fer-Jan Vries (1992). Dynamic Interpretation and HOARE Deduction. Journal of Logic, Language and Information 1 (1).
Marco Hollenberg (1997). An Equational Axiomatization of Dynamic Negation and Relational Composition. Journal of Logic, Language and Information 6 (4):381-401.
Jeroen Groenendijk & Martin Stokhof (1991). Dynamic Predicate Logic. Linguistics and Philosophy 14 (1):39-100.
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Albert Visser (1998). Contexts in Dynamic Predicate Logic. Journal of Logic, Language and Information 7 (1):21-52.
Albert Visser (2002). The Donkey and the Monoid. Dynamic Semantics with Control Elements. Journal of Logic, Language and Information 11 (1):107-131.
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