Using semantics in non-context-free parsing of montague grammar

  • Authors:
  • David Scott Warren;Joyce Friedman

  • Affiliations:
  • SUNY at Stony Brook, Long Island, NY;University of Michigan, Ann Arbor, MI

  • Venue:
  • Computational Linguistics
  • Year:
  • 1982

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Abstract

In natural language processing, the question of the appropriate interaction of syntax and semantics during sentence analysis has long been of interest. Montague grammar with its fully formalized syntax and semantics provides a complete, well-defined context in which these questions can be considered. This paper describes how semantics can be used during parsing to reduce the combinatorial explosion of syntactic ambiguity in Montague grammar. A parsing algorithm, called semantic equivalence parsing, is presented and examples of its operation are given. The algorithm is applicable to general non-context-free grammars that include a formal semantic component. The second portion of the paper places semantic equivalence parsing in the context of the very general definition of an interpreted language as a homomorphism between syntactic and semantic algebras (Montague 1970).