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An LTAG Perspective on Categorial Inference

  • Aravind K. Joshi
  • Seth Kulick
  • Natasha Kurtonina
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2014)

Abstract

This paper describes a system of categorial inference based on insights from Lexicalized Tree Adjoining Grammar (LTAG). LTAG is a tree-rewriting system and therefore deals with structural, not string, adjacency. When looked at from the logic perspective, the nodes of the trees become types as in a categorial grammar, with corresponding deductive connections between parent and daughter nodes. The resulting system is based on a hybrid logic, with one logic for building Partial Proof Trees, and the other for composing the partial proofs. We reexamine the use of structural modalities in categorial grammar from this perspective, concluding that the use of structural modalities can be considerably simplified, or even eliminated in some cases. The generative power of the hybrid logic system is beyond context-free, as we demonstrate with a derivation of the cross-serial dependencies in Dutch. The system also inherits polynomial parsing from LTAG.

Keywords

Relative Clause Elementary Tree Proof Tree Hybrid Logic Categorial Grammar 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Aravind K. Joshi
    • 1
  • Seth Kulick
    • 1
  • Natasha Kurtonina
    • 2
  1. 1.Department of Computer and Information Science and Institute for Research in Cognitive ScienceUSA
  2. 2.Institute for Research in Cognitive ScienceUniversity of PennsylvaniaPhiladelphia

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