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arXiv · 1405.4248

Les mathématiques de la langue : l'approche formelle de Montague

Yannis Haralambous
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Abstract

We present a natural language modelization method which is strongely relying on mathematics. This method, called "Formal Semantics," has been initiated by the American linguist Richard M. Montague in the 1970's. It uses mathematical tools such as formal languages and grammars, first-order logic, type theory and $λ$-calculus. Our goal is to have the reader discover both Montagovian formal semantics and the mathematical tools that he used in his method. ----- Nous présentons une méthode de modélisation de la langue naturelle qui est fortement basée sur les mathématiques. Cette méthode, appelée «sémantique formelle», a été initiée par le linguiste américain Richard M. Montague dans les années 1970. Elle utilise des outils mathématiques tels que les langages et grammaires formels, la logique du 1er ordre, la théorie de types et le $λ$-calcul. Nous nous proposons de faire découvrir au lecteur tant la sémantique formelle de Montague que les outils mathématiques dont il s'est servi.

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Yannis Haralambous. 2014-05-16. Les mathématiques de la langue : l'approche formelle de Montague. https://arxiv.org/abs/1405.4248

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