Minimalist Grammars and Minimalist Categorial Grammars, definitions toward inclusion of generated languages

Maxime Amblard 1
1 SEMAGRAMME - Semantic Analysis of Natural Language
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
Abstract : Stabler proposes an implementation of the Chomskyan Minimalist Program, Chomsky 95 with Minimalist Grammars - MG, Stabler 97. This framework inherits a long linguistic tradition. But the semantic calculus is more easily added if one uses the Curry-Howard isomorphism. Minimalist Categorial Grammars - MCG, based on an extension of the Lambek calculus, the mixed logic, were introduced to provide a theoretically-motivated syntax-semantics interface, Amblard 07. In this article, we give full definitions of MG with algebraic tree descriptions and of MCG, and take the first steps towards giving a proof of inclusion of their generated languages.
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Sylvain Pogodalla and Myriam Quatrini and Christian Retoré. Logic and Grammar: Essays Dedicated to Alain Lecomte on the Occasion of His 60th Birthday, 6700, springer, pp.61--80, 2011, LNCS/LNAI, 〈10.1007/978-3-642-21490-5_4〉
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Maxime Amblard. Minimalist Grammars and Minimalist Categorial Grammars, definitions toward inclusion of generated languages. Sylvain Pogodalla and Myriam Quatrini and Christian Retoré. Logic and Grammar: Essays Dedicated to Alain Lecomte on the Occasion of His 60th Birthday, 6700, springer, pp.61--80, 2011, LNCS/LNAI, 〈10.1007/978-3-642-21490-5_4〉. 〈hal-00617040〉

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