On the Representation of Probabilities over Structured Domains

Marius Bozga (1) , Oded Maler (1)

1 VERIMAG - IMAG - VERIMAG

In this paper we extend one of the main tools used in verification of discrete systems, namely Binary Decision Diagrams (BDD), to treat probabilistic transition systems. We show how probabilistic vectors and matrices can be represented canonically and succinctly using probabilistic trees and graphs, and how simulation of large-scale probabilistic systems can be performed. We consider this work as an important contribution of the verification community to numerous domains which need to manipulate very large matrices.

Mots clés: symbolic representation; probabilistic decision trees; probabilistic decision diagrams

Domaines: Systèmes embarqués

Marius Bozga, Oded Maler. On the Representation of Probabilities over Structured Domains. Computer Aided Verification 11th International Conference, CAV'99, Jul 1999, Trento, Italy. pp.261-273, ⟨10.1007/3-540-48683-6⟩. ⟨hal-00369366⟩