Ludics is a model for the finitary linear pi-calculus

  • Authors:
  • Claudia Faggian;Mauro Piccolo

  • Affiliations:
  • PPS, CNRS-Paris 7;Universitá di Torino, PPS

  • Venue:
  • TLCA'07 Proceedings of the 8th international conference on Typed lambda calculi and applications
  • Year:
  • 2007

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Abstract

We analyze in game-semantical terms the finitary fragment of the linear π-calculus. This calculus was introduced by Yoshida, Honda, and Berger [NYB01], and then refined by Honda and Laurent [LH06]. The features of this calculus - asynchrony and locality in particular - have a precise correspondence in Game Semantics. Building on work by Varacca and Yoshida [VY06], we interpret p-processes in linear strategies, that is the strategies introduced by Girard within the setting of Ludics [Gir01]. We prove that the model is fully complete and fully abstract w.r.t. the calculus.