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Quantitative Relations and Approximate Process Equivalences

  • Alessandra Di Pierro
  • Chris Hankin
  • Herbert Wiklicky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2761)

Abstract

We introduce a characterisation of probabilistic transition systems (PTS) in terms of linear operators on some suitably defined vector space representing the set of states. Various notions of process equivalences can then be re-formulated as abstract linear operators related to the concrete PTS semantics via a probabilistic abstract interpretation. These process equivalences can be turned into corresponding approximate notions by identifying processes whose abstract operators “differ” by a given quantity, which can be calculated as the norm of the difference operator. We argue that this number can be given a statistical interpretation in terms of the tests needed to distinguish two behaviours.

Keywords

Quantitative Relation Abstract Interpretation Label Transition System Process Equivalence Abstract Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Alessandra Di Pierro
    • 1
  • Chris Hankin
    • 2
  • Herbert Wiklicky
    • 2
  1. 1.Dipartimento di InformaticaUniversitá di PisaItaly
  2. 2.Department of ComputingImperial CollegeLondonUK

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