A Resource Sensitive Interpretation of Lexical Functional Grammar

  • Authors:
  • Mark Johnson

  • Affiliations:
  • Department of Cognitive and Linguistic Sciences, Brown University, Box 1978, Providence, RI 02912, U.S.A. (E-mail: Email: mj@lx.cog.brown.edu

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 1999

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Abstract

This paper investigates whether the fundamental linguisticinsights and intuitions of Lexical Functional Grammar (LFG),which is usually presented as a ’’constraint-based‘‘ linguistictheory, can be reformulated in a ’’resource sensitive‘‘ frameworkusing a substructural modal logic.In the approach investigated here, LFG‘s f-descriptions arereplaced with expressions from a multi-modal propositional logic(with permutation and possibly limited contraction). In effect, the feature structure ’’unification‘‘ basis ofLFG‘s f-structures is replaced with a very different resourcebased mechanism. It turns out that somelinguistic analyses that required non-monotonic devices in LFG(such as the ’’constraint equations‘‘ in theAndrews (1982) analysis of Icelandic) can be straightforwardlyexpressed in the framework presented here.Moreover, a Curry–Howard correspondence between proofs inthis logic and λ-terms provides a semantic interpretationas a by-product of the process of showing syntactic well-formedness.