Reasoning with descriptions of trees

  • Authors:
  • James Rogers;K. Vijay-Shanker

  • Affiliations:
  • University of Delaware, Newark, DE;University of Delaware, Newark, DE

  • Venue:
  • ACL '92 Proceedings of the 30th annual meeting on Association for Computational Linguistics
  • Year:
  • 1992

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Abstract

In this paper we introduce a logic for describing trees which allows us to reason about both the parent and domination relationship. The use of domination has found a number of applications, such as in deterministic parsers based on Description theory (Marcus, Hindle & Fleck, 1983), in a compact organization of the basic structures of Tree-Adjoining Grammars (Vijay-Shanker & Schabes, 1992), and in a new characterization of the adjoining operation that allows a clean integration of TAGs into the unification-based framework (Vijay-Shanker, 1992) Our logic serves to formalize the reasoning on which these applications are based.