Probabilistic Game Semantics

  • Authors:
  • Vincent Danos;Russell Harmer

  • Affiliations:
  • -;-

  • Venue:
  • LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2000

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Abstract

A category of HO/N-style games and probabilistic strategies is developed where the possible choices of a strategy are quantified to give a measure of the likelihood of seeing a given play. A 2-sided die is shown to be universal in this category, in the sense that any strategy breaks down into a composition between some deterministic strategy and that die. The interpretative power of the category is then demonstrated by delineating a Cartesian closed subcategory, which provides a fully abstract model of a probabilistic extension of Idealized Algol.