The geometry of interaction machine

  • Authors:
  • Ian Mackie

  • Affiliations:
  • Department of Computing, Imperial College of Science, Technology and Medicine, London SW7 2BZ, England

  • Venue:
  • POPL '95 Proceedings of the 22nd ACM SIGPLAN-SIGACT symposium on Principles of programming languages
  • Year:
  • 1995

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Abstract

We investigate implementation techniques arising directly from Girard's Geometry of Interaction semantics for Linear Logic, specifically for a simple functional programming language (PCF). This gives rise to a very simple, compact, compilation schema and run-time system. We analyse various properties of this kind of computation that suggest substantial optimisations that could make this paradigm of implementation not only practical, but potentially more efficient than extant paradigms.