Modal Pure Type Systems

  • Authors:
  • Tijn Borghuis

  • Affiliations:
  • Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands (E-mail: tijn@win.tue.nl)

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 1998

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Abstract

We present a framework for intensional reasoning in typedλ-calculus. In this family of calculi, called Modal Pure TypeSystems (MPTSs), a ’’propositions-as-types‘‘-interpretation can be givenfor normal modal logics. MPTSs are an extension of the Pure TypeSystems (PTSs) of Barendregt (1992). We show that they retainthe desirable meta-theoretical properties of PTSs, and briefly discussapplications in the area of knowledge representation.