On Recursion, Replication and Scope Mechanisms in Process Calculi

  • Jesús Aranda
  • Cinzia Di Giusto
  • Catuscia Palamidessi
  • Frank D. Valencia
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4709)


In this paper we shall survey and discuss in detail the work on the relative expressiveness of recursion and replication in various process calculi. Namely, CCS, the π-calculus, the Ambient calculus, Concurrent Constraint Programming and calculi for Cryptographic Protocols. We shall give evidence that the ability of expressing recursive behaviour via replication often depends on the scoping mechanisms of the given calculus which compensate for the restriction of replication.


Turing Machine Expressive Power Process Calculus Reduction Semantic Static Scope 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Jesús Aranda
    • 1
  • Cinzia Di Giusto
    • 2
  • Catuscia Palamidessi
    • 3
  • Frank D. Valencia
    • 4
  1. 1.Universidad del Valle CaliColombia and LIX École PolytechniqueFrance
  2. 2.Dip. Scienze dell’InformazioneUniversità di BolognaItaly
  3. 3.INRIA-LIXÉcole PolytechniqueFrance
  4. 4.CNRS - LIXÉcole PolytechniqueFrance

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