Approximating and computing behavioural distances in probabilistic transition systems

  • Authors:
  • Franck van Breugel;James Worrell

  • Affiliations:
  • York University, Department of Computer Science, Toronto, Canada;Oxford University, Computing Laboratory, Oxford, UK

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2006

Quantified Score

Hi-index 5.23

Visualization

Abstract

In an earlier paper we presented a pseudometric on the states of a probabilistic transition system, yielding a quantitative notion of behavioural equivalence. The behavioural pseudometric was defined via the terminal coalgebra of a functor based on a metric on Borel probability measures. In the present paper we give a polynomial-time algorithm, based on linear programming, to calculate the distances between states up to a prescribed degree of accuracy.