Labelled Markov Processes: Stronger and Faster Approximations

  • Authors:
  • Vincent Danos;Josée Desharnais

  • Affiliations:
  • -;-

  • Venue:
  • LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2003

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Abstract

This paper proposes a measure-theoretic reconstructionof the approximation schemes developed for LabelledMarkov Processes: approximants are seen as quotientswith respect to sets of temporal properties expressedin a simple logic. This gives the possibility ofcustomizing approximants with respect to properties ofinterest and is thus an important step towards usingautomated techniques intended for finite state systems,e.g. model checking, for continuous state systems.The measure-theoretic apparatus meshes well withan enriched logic, extended with a greatest fix-point,and gives means to define approximants which retaincyclic properties of their target.