What Are Polymorphically-Typed Ambients?

  • Authors:
  • Torben Amtoft;A. J. Kfoury;Santiago M. Pericás-Geertsen

  • Affiliations:
  • -;-;-

  • Venue:
  • ESOP '01 Proceedings of the 10th European Symposium on Programming Languages and Systems
  • Year:
  • 2001

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Abstract

The Ambient Calculus was developed by Cardelli and Gordon as a formal framework to study issues of mobility and migrant code [6]. We consider an Ambient Calculus where ambients transport and exchange programs rather that just inert data. We propose different senses in which such a calculus can be said to be polymorphically typed, and design accordingly a polymorphic type system for it. Our type system assigns types to embedded programs and what we call behaviors to processes; a denotational semantics of behaviors is then proposed, here called trace semantics, underlying much of the remaining analysis. We state and prove a Subject Reduction property for our polymorphically-typed calculus. Based on techniques borrowed from finite automata theory, type-checking of fully type-annotated processes is shown to be decidable. Our polymorphically-typed calculus is a conservative extension of the typed Ambient Calculus originally proposed by Cardelli and Gordon [7].