Typed goi for exponentials

  • Authors:
  • Esfandiar Haghverdi

  • Affiliations:
  • School of Informatics, Indiana University, Bloomington, IN

  • Venue:
  • ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
  • Year:
  • 2006

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Abstract

In a recent paper we introduced a typed version of Geometry of Interaction, called the Multi-object Geometry of Interaction (MGoI). Using this framework we gave an interpretation for the unit-free multiplicative fragment of linear logic. In this paper, we extend our work to cover the exponentials. We introduce the notion of a GoI Category that embodies the necessary ingredients for an MGoI interpretation for unit-free multiplicative and exponential linear logic