Categorial Minimalist Grammar
Maxime Amblard (INRIA Lorraine - LORIA), Alain Lecomte (INRIA Bordeaux, - Sud-Ouest, SFLTAMP), Christian Retor\'e (INRIA Bordeaux - Sud-Ouest, LaBRI)

TL;DR
This paper introduces categorial minimalist grammars by integrating minimalist and categorial grammars within a linear logic framework, and extends discourse representation theory with lambda-mu calculus to handle semantic derivations.
Contribution
It presents a novel representation of minimalist grammars in a categorial logic system and extends DRT with lambda-mu calculus for improved semantic analysis.
Findings
Successful integration of minimalist and categorial grammars within linear logic
Demonstration of semantic derivation from syntactic analysis using lambda-mu-DRT
Complete example illustrating the derivation process
Abstract
We first recall some basic notions on minimalist grammars and on categorial grammars. Next we shortly introduce partially commutative linear logic, and our representation of minimalist grammars within this categorial system, the so-called categorial minimalist grammars. Thereafter we briefly present \lambda\mu-DRT (Discourse Representation Theory) an extension of \lambda-DRT (compositional DRT) in the framework of \lambda\mu calculus: it avoids type raising and derives different readings from a single semantic representation, in a setting which follows discourse structure. We run a complete example which illustrates the various structures and rules that are needed to derive a semantic representation from the categorial view of a transformational syntactic analysis.
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Taxonomy
TopicsNatural Language Processing Techniques · Syntax, Semantics, Linguistic Variation · Logic, programming, and type systems
