De groot duality and models of choice: Angels, demons and nature†

  • Authors:
  • Jean Goubault-larrecq

  • Affiliations:
  • Lsv, ens cachan, cnrs, inria saclay, 61 avenue du président-wilson, 94230 cachan, france email: goubault@lsv.ens-cachan.fr

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2010

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Abstract

We introduce convex–concave duality for various models of non-deterministic choice, probabilistic choice and the two of them combined. This complements the well-known duality of stably compact spaces in a pleasing way: convex–concave duality swaps angelic and demonic choice, and leaves probabilistic choice invariant.