Pregroup calculus as a logic functor

  • Authors:
  • Annie Foret

  • Affiliations:
  • IRISA-Rennes 1, Rennes Cedex, France

  • Venue:
  • WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
  • Year:
  • 2007

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Abstract

The concept of pregroup was introduced by Lambek for natural language analysis, with a close link to non-commutative linear logic. We reformulate the pregroup calculus so as to extend it by composition with other logics and calculii. The cut elimination property and the decidability property of the sequent calculus proposed in the article are shown. Properties of composed calculii are also discussed.