[WK05]
F. Wang and M. Kwiatkowska.
An MTBDD-based implementation of forward reachability for probabilistic timed automata.
In Proc. 3rd International Symposium on Automated Technology for Verification and Analysis (ATVA'05), volume 3707 of Lecture Notes in Computer Science, pages 385-399, Springer.
October 2005.
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The original publication is available at link.springer.com.
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Abstract.
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 infor-
mation and present experimental results on three case studies. Our key
contribution is a general placeholder encoding method for Probabilis-
tic 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.
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