True concurrency via abstract interpretation

  • Chiara Bodei
  • Corrado Priami
Concurrency
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1302)

Abstract

Abstract interpretation can be used to formalize the concept of parametricity in the concurrency field. The concrete domain is the proved transition system, whose transitions are labelled by encodings of the parallel structure of processes. Suitable relabelling functions of proved transitions allow us to retrieve many non interleaving models presented in the literature. We prove here that such relabelling functions are indeed abstraction functions in the sense of abstract interpretations, considering causality as a test-bed. They induce Galois connections between the concrete domain and the abstract semantic models. We prove that abstractions preserve non interleaving bisimulations.

Keywords

Concurrency abstract interpretation causality 

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Chiara Bodei
    • 1
  • Corrado Priami
    • 2
    • 3
  1. 1.Dipartimento di InformaticaUniversità di PisaPisaItaly
  2. 2.Département de Mathématiques et d'InformatiqueÉcole Normale SupérieureParisFrance
  3. 3.Università di VeronaVeronaItaly

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