Well-nested context unification

  • Authors:
  • Jordi Levy;Joachim Niehren;Mateu Villaret

  • Affiliations:
  • IIIA, CSIC, Barcelona, Spain;INRIA Futurs, LIFL, Lille, France;IMA, Universitat de Girona, Spain

  • Venue:
  • CADE' 20 Proceedings of the 20th international conference on Automated Deduction
  • Year:
  • 2005

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Abstract

Context unification (CU) is the open problem of solving context equations for trees. We distinguish a new decidable variant of CU–well-nested CU – and present a new unification algorithm that solves well-nested context equations in non-deterministic polynomial time. We show that minimal well-nested solutions of context equations can be composed from the material present in the equation (see Theorem[1]). This property is wishful when modeling natural language ellipsis in CU.