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2017 | Vol. 5, No. 2 | 357--383
Tytuł artykułu

Quantification in frame semantics with binders and nominals of hybrid logic

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper aims to integrate logical operators into frame-based semantics. Frames are semantic graphs that allow lexical meaning to be captured in a fine-grained way but that do not come with a natural way to integrate logical operators such as quantifiers. The approach we propose stems from the observation that modal logic is a powerful tool for describing relational structures, including frames. We use its hybrid logic extension in order to incorporate quantification and thereby allow for inference and reasoning. We integrate our approach into a type theoretic compositional semantics, formulated within Abstract Categorial Grammars. We also show how the key ingredients of hybrid logic, nominals and binders, can be used to model semantic coercion, such as the one induced by the begin predicate. In order to illustrate the effectiveness of the proposed syntax-semantics interface, all the examples can be run and tested with the Abstract Categorial Grammar development toolkit.
Wydawca

Rocznik
Strony
357--383
Opis fizyczny
Bibliogr. 42 poz., rys.
Twórcy
  • Heinrich Heine Universität, Düsseldorf, Germany
autor
  • Heinrich Heine Universität, Düsseldorf, Germany
  • Heinrich Heine Universität, Düsseldorf, Germany
  • INRIA, Villers-lès-Nancy, France
  • Université de Lorraine, LORIA, Vandoeuvre-lès-Nancy, France
  • CNRS, LORIA, Vandoeuvre-lès-Nancy, France
Bibliografia
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  • [22] Seohyun Im and Chunngmin Lee (2015), A Developed Analysis of Type Coercion Based on Type Theory and Conventionality, in Robin Cooper and Christian Retoré, editors, Type Theory and Lexical Semantics, ESSLLI 2015, Barcelona, Spain, http://www.lirmm.fr/tytles/Articles/Im.pdf.
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  • [42] Balder ten Cate and Massimo Franceschet (2005), On the Complexity of Hybrid Logics with Binders, in Luke Ong, editor, Computer Science Logic: 19th International Workshop, CSL 2005, 14th Annual Conference of the EACSL, Oxford, UK, August 22-25, 2005. Proceedings, pp. 339-354, Springer Berlin Heidelberg, doi: 10.1007/11538363_24.
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