Concrete Data Structures as Games

  • Authors:
  • Andrea Schalk;José Juan Palacios-Perez

  • Affiliations:
  • Department of Computer Science, University of Manchester, United Kingdom;Department of Computer Science, University of Manchester, United Kingdom

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2005

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Abstract

A result by Curien establishes that filiform concrete data structures can be viewed as games. We extend the idea to cover all stable concrete data structures. This necessitates a theory of games with an equivalence relation on positions. We present a faithful functor from the category of concrete data structures to this new category of games, allowing a game-like reading of the former. It is possible to restrict to a cartesian closed subcategory of these games, where the function space does not decompose and the product is given by the usual tensor product construction. There is a close connection between these games and graph games.