Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
Automatic verification of real-time systems with discrete probability distributions
Theoretical Computer Science
Symbolic Model Checking of Probabilistic Processes Using MTBDDs and the Kronecker Representation
TACAS '00 Proceedings of the 6th International Conference on Tools and Algorithms for Construction and Analysis of Systems: Held as Part of the European Joint Conferences on the Theory and Practice of Software, ETAPS 2000
Probabilistic Symbolic Model Checking with PRISM: A Hybrid Approach
TACAS '02 Proceedings of the 8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems
Efficient Verification of Timed Automata with BDD-Like Data-Structures
VMCAI 2003 Proceedings of the 4th International Conference on Verification, Model Checking, and Abstract Interpretation
Kronos: A Model-Checking Tool for Real-Time Systems
CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Efficient Timed Reachability Analysis Using Clock Difference Diagrams
CAV '99 Proceedings of the 11th International Conference on Computer Aided Verification
On-the-fly symbolic model checking for real-time systems
RTSS '97 Proceedings of the 18th IEEE Real-Time Systems Symposium
A model-checking-based approach to risk analysis in supply chain consolidations
Integrated Computer-Aided Engineering - Selected papers from the IEEE Conference on Information Reuse and Integration (IRI), July 13-15, 2008
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Multi-Terminal Binary Decision Diagrams (MTBDDs) have been successfully applied in symbolic model checking of probabilistic systems. In this paper we propose an encoding method for Probabilistic Timed Automata (PTA) based on MTBDDs. The timing information is encoded via placeholders stored in the MTBDDs that are independent of how the timing information is represented. Using the Colorado University Decision Diagrams (CUDD) package, an experimental model checker is implemented, which supports probabilistic reachability model checking via the forward algorithm. We use Difference Bound Matrices (DBMs) and Difference Decision Diagrams (DDDs) for representing timing information and present experimental results on three case studies. Our key contribution is a general placeholder encoding method for Probabilistic Timed Automata and an experimental MTBDD-based model checker which has been partly integrated with PRISM. This is the first symbolic implementation of the forward probabilistic reachability algorithm.