A complete and recursive feature theory

  • Authors:
  • Rolf Backofen;Gert Smolka

  • Affiliations:
  • German Research Center for Artificial Intelligence (DFKI), Saarbrücken, Germany;German Research Center for Artificial Intelligence (DFKI), Saarbrücken, Germany

  • Venue:
  • ACL '93 Proceedings of the 31st annual meeting on Association for Computational Linguistics
  • Year:
  • 1993

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Abstract

Various feature descriptions are being employed in constrained-based grammar formalisms. The common notational primitive of these descriptions are functional attributes called features. The descriptions considered in this paper are the possibly quantified first-order formulae obtained from a signature of features and sorts. We establish a complete first-order theory FT by means of three axiom schemes and construct three elementarily equivalent models.One of the models consists of so-called feature graphs, a data structure common in computational linguistics. The other two models consist of so-called feature trees, a record-like data structure generalizing the trees corresponding to first-order terms.Our completeness proof exhibits a terminating simplification system deciding validity and satisfiability of possibly quantified feature descriptions.