@InProceedings{DellaPenna_etal2003, author="Della Penna, Giuseppe and Intrigila, Benedetto and Melatti, Igor and Tronci, Enrico and Venturini Zilli, Marisa", editor="Geist, D. and Tronci, E.", title="Finite Horizon Analysis of Markov Chains with the Mur{\$}{\backslash}varphi{\$} Verifier", booktitle="Correct Hardware Design and Verification Methods, 12th IFIP WG 10.5 Advanced Research Working Conference, CHARME 2003, L{\textquoteright}Aquila, Italy, October 21-24, 2003, Proceedings", series="Lecture Notes in Computer Science", year="2003", publisher="Springer", volume="2860", pages="394--409", abstract="In this paper we present an explicit disk based verification algorithm for Probabilistic Systems defining discrete time/finite state Markov Chains. Given a Markov Chain and an integer k (horizon), our algorithm checks whether the probability of reaching an error state in at most k steps is below a given threshold. We present an implementation of our algorithm within a suitable extension of the Mur{\$}{\backslash}varphi{\$} verifier. We call the resulting probabilistic model checker FHP-Mur{\$}{\backslash}varphi{\$} (Finite Horizon Probabilistic Mur{\$}{\backslash}varphi{\$}). We present experimental results comparing FHP-Mur{\$}{\backslash}varphi{\$} with (a finite horizon subset of) PRISM, a state-of-the-art symbolic model checker for Markov Chains. Our experimental results show that FHP-Mur{\$}{\backslash}varphi{\$} can handle systems that are out of reach for PRISM, namely those involving arithmetic operations on the state variables (e.g. hybrid systems).", optnote="exported from refbase (http://mclab.di.uniroma1.it/publications/show.php?record=84), last updated on Sat, 24 Nov 2012 14:21:40 +0100", issn="3-540-20363-X", doi="10.1007/978-3-540-39724-3_34", opturl="https://doi.org/10.1007/978-3-540-39724-3_34", file=":http://mclab.di.uniroma1.it/publications/papers/papers/Della Penna2003a.pdf:PDF" }