Probabilistic Logical Characterization

  • Authors:
  • Holger Hermanns;Augusto Parma;Roberto Segala;Björn Wachter;Lijun Zhang

  • Affiliations:
  • Saarland University -- Computer Science, Saarbrücken, Germany and INRIA Grenoble -- Rhône-Alpes, France;Departimento di Informatica, Università di Verona, Italy;Departimento di Informatica, Università di Verona, Italy;Computing Laboratory, University of Oxford, UK;DTU Informatics, Technical University of Denmark, Denmark

  • Venue:
  • Information and Computation
  • Year:
  • 2011

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Abstract

Probabilistic automata exhibit both probabilistic and non-deterministic choice. They are therefore a powerful semantic foundation for modeling concurrent systems with random phenomena arising in many applications ranging from artificial intelligence, security, systems biology to performance modeling. Several variations of bisimulation and simulation relations have proved to be useful as means to abstract and compare different automata. This paper develops a taxonomy of logical characterizations of these relations on image-finite and image-infinite probabilistic automata.