Glueing and orthogonality for models of linear logic

  • Authors:
  • Martin Hyland;Andrea Schalk

  • Affiliations:
  • DPMMS, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK;Department of Computer Science, University of Manchester, Oxford Road, Manchester M13 9PL, UK

  • Venue:
  • Theoretical Computer Science - Category theory and computer science
  • Year:
  • 2003

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Abstract

We present the general theory of the method of glueing and associated technique of orthogonality for constructing categorical models of all the structure of linear logic: in particular we treat the exponentials in detail. We indicate simple applications of the methods and show that they cover familiar examples.