Symmetries and Dualities in Name-Passing Process Calculi

  • Daniel Hirschkoff
  • Jean-Marie Madiot
  • Davide Sangiorgi
Chapter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8808)

Abstract

We study symmetries and duality between input and output in the \(\pi \)-calculus. We show that in dualisable versions of \(\pi \), including \(\pi \) and fusions, duality breaks with the addition of ordinary input/output types. We illustrate two proposals of calculi that overcome these problems. One approach is based on a modification of fusion calculi in which the name equivalences produced by fusions are replaced by name preorders, and with a distinction between positive and negative occurrences of names. The resulting calculus allows us to import subtype systems, and related results, from the pi-calculus. The second approach consists in taking the minimal symmetrical conservative extension of \(\pi \) with input/output types.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Daniel Hirschkoff
    • 1
  • Jean-Marie Madiot
    • 1
  • Davide Sangiorgi
    • 2
  1. 1.ENS LyonUniversité de Lyon CNRS, INRIALyonFrance
  2. 2.INRIA/Università di BolognaBolognaItaly

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