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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
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Title |
Finite Horizon Analysis of Markov Chains with the Mur$\varphi$ Verifier |
Type |
Conference Article |
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Year |
2003 |
Publication |
Correct Hardware Design and Verification Methods, 12th IFIP WG 10.5 Advanced Research Working Conference, CHARME 2003, L'Aquila, Italy, October 21-24, 2003, Proceedings |
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Pages |
394-409 |
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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$\varphi$ verifier. We call the resulting probabilistic model checker FHP-Mur$\varphi$ (Finite Horizon Probabilistic Mur$\varphi$). We present experimental results comparing FHP-Mur$\varphi$ 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$\varphi$ can handle systems that are out of reach for PRISM, namely those involving arithmetic operations on the state variables (e.g. hybrid systems). |
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Publisher |
Springer |
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Editor |
Geist, D.; Tronci, E. |
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Original Title |
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Series Title |
Lecture Notes in Computer Science |
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Series Volume |
2860 |
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ISSN |
3-540-20363-X |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Dimtz03 |
Serial |
84 |
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