Weak bisimulation for Probabilistic Timed Automata

  • Authors:
  • Ruggero Lanotte;Andrea Maggiolo-Schettini;Angelo Troina

  • Affiliations:
  • Dipartimento di Informatica e Comunicazione, Università dellInsubria, Via Carloni 78, 22100 Como, Italy;Dipartimento di Informatica - Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy;Dipartimento di Informatica - Università di Torino, Corso Svizzera 185, 10149 Torino, Italy

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2010

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Abstract

We are interested in describing timed systems that exhibit probabilistic behaviour. To this purpose, we consider a model of Probabilistic Timed Automata and introduce a concept of weak bisimulation for these automata, together with an algorithm to decide it. The weak bisimulation relation is shown to be preserved when either time, or probability is abstracted away. As an application, we use weak bisimulation for Probabilistic Timed Automata to model and analyze a timing attack on the dining cryptographers protocol.