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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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Springer |
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Editor |
Geist, D.; Tronci, E. |
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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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yes |
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Call Number |
Sapienza @ mari @ Dimtz03 |
Serial |
84 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
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Title |
Integrating RAM and Disk Based Verification within 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 |
277-282 |
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Abstract |
We present a verification algorithm that can automatically switch from RAM based verification to disk based verification without discarding the work done during the RAM based verification phase. This avoids having to choose beforehand the proper verification algorithm. Our experimental results show that typically our integrated algorithm is as fast as (sometime faster than) the fastest of the two base (i.e. RAM based and disk based) verification algorithms. |
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Springer |
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Editor |
Geist, D.; Tronci, E. |
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Series Title |
Lecture Notes in Computer Science |
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Series Volume |
2860 |
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Edition |
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ISSN |
3-540-20363-X |
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yes |
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Call Number |
Sapienza @ mari @ DIMTZ03a |
Serial |
85 |
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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 Stochastic Systems with the Mur$\varphi$ Verifier |
Type |
Conference Article |
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Year |
2003 |
Publication |
Theoretical Computer Science, 8th Italian Conference, ICTCS 2003, Bertinoro, Italy, October 13-15, 2003, Proceedings |
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58-71 |
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Many reactive systems are actually Stochastic Processes. Automatic analysis of such systems is usually very difficult thus typically one simplifies the analysis task by using simulation or by working on a simplified model (e.g. a Markov Chain). We present a Finite Horizon Probabilistic Model Checking approach which essentially can handle the same class of stochastic processes of a typical simulator. This yields easy modeling of the system to be analyzed together with formal verification capabilities. Our approach is based on a suitable disk based extension of the Mur$\varphi$ verifier. Moreover we present experimental results showing effectiveness of our approach. |
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Springer |
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Editor |
Blundo, C.; Laneve, C. |
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Series Title |
Lecture Notes in Computer Science |
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Series Volume |
2841 |
Series Issue |
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Edition |
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ISSN |
3-540-20216-1 |
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yes |
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Call Number |
Sapienza @ mari @ DIMTZ03c |
Serial |
90 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
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Title |
Bounded Probabilistic Model Checking with the Mur$\varphi$ Verifier |
Type |
Conference Article |
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Year |
2004 |
Publication |
Formal Methods in Computer-Aided Design, 5th International Conference, FMCAD 2004, Austin, Texas, USA, November 15-17, 2004, Proceedings |
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Pages |
214-229 |
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Abstract |
In this paper we present an explicit verification algorithm for Probabilistic Systems defining discrete time/finite state Markov Chains. We restrict ourselves to verification of Bounded PCTL formulas (BPCTL), that is, PCTL formulas in which all Until operators are bounded, possibly with different bounds. This means that we consider only paths (system runs) of bounded length. Given a Markov Chain $\cal M$ and a BPCTL formula Φ, our algorithm checks if Φ is satisfied in $\cal M$. This allows to verify important properties, such as reliability in Discrete Time Hybrid Systems. We present an implementation of our algorithm within a suitable extension of the Mur$\varphi$ verifier. We call FHP-Mur$\varphi$ (Finite Horizon Probabilistic Mur$\varphi$) such extension of the Mur$\varphi$ verifier. We give 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 effectively handle verification of BPCTL formulas for 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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Springer |
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Editor |
Hu, A.J.; Martin, A.K. |
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Series Title |
Lecture Notes in Computer Science |
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Series Volume |
3312 |
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Edition |
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ISSN |
3-540-23738-0 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Dimtz04 |
Serial |
87 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
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Title |
Exploiting Transition Locality in Automatic Verification of Finite State Concurrent Systems |
Type |
Journal Article |
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Year |
2004 |
Publication |
Sttt |
Abbreviated Journal |
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Volume |
6 |
Issue |
4 |
Pages |
320-341 |
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Abstract |
In this paper we show that statistical properties of the transition graph of a system to be verified can be exploited to improve memory or time performances of verification algorithms. We show experimentally that protocols exhibit transition locality. That is, with respect to levels of a breadth-first state space exploration, state transitions tend to be between states belonging to close levels of the transition graph. We support our claim by measuring transition locality for the set of protocols included in the Mur$\varphi$ verifier distribution. We present a cache-based verification algorithm that exploits transition locality to decrease memory usage and a disk-based verification algorithm that exploits transition locality to decrease disk read accesses, thus reducing the time overhead due to disk usage. Both algorithms have been implemented within the Mur$\varphi$ verifier. Our experimental results show that our cache-based algorithm can typically save more than 40% of memory with an average time penalty of about 50% when using (Mur$\varphi$) bit compression and 100% when using bit compression and hash compaction, whereas our disk-based verification algorithm is typically more than ten times faster than a previously proposed disk-based verification algorithm and, even when using 10% of the memory needed to complete verification, it is only between 40 and 530% (300% on average) slower than (RAM) Mur$\varphi$ with enough memory to complete the verification task at hand. Using just 300 MB of memory our disk-based Mur$\varphi$ was able to complete verification of a protocol with about $10^9$ reachable states. This would require more than 5 GB of memory using standard Mur$\varphi$. |
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yes |
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Call Number |
Sapienza @ mari @ DIMTZ04j |
Serial |
91 |
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Permanent link to this record |
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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 |
Journal Article |
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Year |
2006 |
Publication |
Int. J. Softw. Tools Technol. Transf. |
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Volume |
8 |
Issue |
4 |
Pages |
397-409 |
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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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Springer-Verlag |
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Berlin, Heidelberg |
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ISSN |
1433-2779 |
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yes |
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Call Number |
Sapienza @ mari @ Dimtz06 |
Serial |
78 |
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Author |
Della Penna, Giuseppe; Magazzeni, Daniele; Tofani, Alberto; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico |
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Title |
Automatic Synthesis of Robust Numerical Controllers |
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Conference Article |
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Year |
2007 |
Publication |
Icas '07 |
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4 |
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A major problem of numerical controllers is their robustness, i.e. the state read from the plant may not be in the controller table, although it may be close to some states in the table. For continuous systems, this problem is typically handled by interpolation techniques. Unfortunately, when the plant contains both continuous and discrete variables, the interpolation approach does not work well. To cope with this kind of systems, we propose a general methodology that exploits explicit model checking in an innovative way to automatically synthesize a (time-) optimal numerical controller from a plant specification and apply an optimized strengthening algorithm only on the most significant states, in order to reach an acceptable robustness degree. We implemented all the algorithms within our CGMurphi tool, an extension of the well-known CMurphi verifier, and tested the effectiveness of our approach by applying it to the well-known truck and trailer obstacles avoidance problem. |
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IEEE Computer Society |
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0-7695-2859-5 |
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yes |
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Call Number |
Sapienza @ mari @ Dmtimt07 |
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89 |
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Author |
Della Penna, Giuseppe; Magazzeni, Daniele; Tofani, Alberto; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico |
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Title |
Automated Generation Of Optimal Controllers Through Model Checking Techniques |
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Book Chapter |
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Year |
2008 |
Publication |
Informatics in Control Automation and Robotics. Selected Papers from ICINCO 2006 |
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107-119 |
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Springer |
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yes |
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Sapienza @ mari @ Dmtmt08 |
Serial |
26 |
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Author |
Della Penna, Giuseppe; Tofani, Alberto; Pecorari, Marcello; Raparelli, Orazio; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico |
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Title |
A Case Study on Automated Generation of Integration Tests |
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Conference Article |
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Year |
2006 |
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Fdl |
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278-284 |
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Ecsi |
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978-3-00-019710-9 |
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yes |
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Sapienza @ mari @ Dtprimt06 |
Serial |
27 |
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Charme |
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Conference Article |
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Year |
2003 |
Publication |
Lecture Notes in Computer Science |
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Volume |
2860 |
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Pages |
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Springer |
Place of Publication |
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Editor |
Geist, D.; Tronci, E. |
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3-540-20363-X |
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yes |
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Call Number |
Sapienza @ mari @ editor-charme03 |
Serial |
37 |
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