Logical foundations for hybrid type-logical grammars

Autor: Richard Moot, Symon Jory Stevens-Guille
Přispěvatelé: Exploration et exploitation de données textuelles (TEXTE), Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Department of Linguistics [Ohio], Ohio State University [Columbus] (OSU)
Rok vydání: 2020
Předmět:
Zdroj: Journal of Logic, Language and Information
Journal of Logic, Language and Information, Springer Verlag, In press
ISSN: 0925-8531
1572-9583
DOI: 10.48550/arxiv.2009.10387
Popis: International audience; This paper explores proof-theoretic aspects of hybrid type-logical grammars , a logic combining Lambek grammars with lambda grammars. We prove some basic properties of the calculus, such as normalisation and the subformula property and also present both a sequent and a proof net calculus for hybrid type-logical grammars. In addition to clarifying the logical foundations of hybrid type-logical grammars, the current study opens the way to variants and extensions of the original system, including but not limited to a non-associative version and a multimodal version incorporating structural rules and unary modes.
Databáze: OpenAIRE