Model-Checking for Hybrid Systems by Quotienting and Constraints Solving

In this paper we present a semi-algorithm to do compositional model-checking for hybrid systems. We first define a modal logic \(L_{\nu}^h\) which is expressively complete for linear hybrid automata. We then show that it is possible to extend the result on compositional model-checking for parallel compositions of finite automata and networks of timed automata to linear hybrid automata. Finally we present some results obtained with an extension of the tool CMC to handle a subclass of hybrid automata (the stopwatch automata).

[1]  David L. Dill,et al.  Timing Assumptions and Verification of Finite-State Concurrent Systems , 1989, Automatic Verification Methods for Finite State Systems.

[2]  Rajeev Alur,et al.  Model-Checking in Dense Real-time , 1993, Inf. Comput..

[3]  André Arnold,et al.  Finite transition systems , 1994 .

[4]  Thomas A. Henzinger,et al.  Symbolic Model Checking for Real-Time Systems , 1994, Inf. Comput..

[5]  Thomas A. Henzinger,et al.  The Algorithmic Analysis of Hybrid Systems , 1995, Theor. Comput. Sci..

[6]  Kim Guldstrand Larsen,et al.  Compositional Model Checking of Real Time Systems , 1995, CONCUR.

[7]  Henrik Reif Andersen,et al.  Partial model checking , 1995, Proceedings of Tenth Annual IEEE Symposium on Logic in Computer Science.

[8]  Thomas A. Henzinger,et al.  Automatic Symbolic Verification of Embedded Systems , 1996, IEEE Trans. Software Eng..

[9]  Wang Yi,et al.  Verification of an Audio Protocol with Bus Collision Using UPPAAL , 1996, CAV.

[10]  T. Henzinger.  The theory of hybrid automata , 1996, LICS 1996.

[11]  Wang Yi,et al.  Compositional and Symbolic Model-Checking of Real-Time Systems , 1996 .

[12]  Stavros Tripakis,et al.  On-the-fly symbolic model checking for real-time systems , 1997, Proceedings Real-Time Systems Symposium.

[13]  Thomas A. Henzinger,et al.  HYTECH: A Model Checker for Hybrid Systems , 1997, CAV.

[14]  Sergio Yovine,et al.  KRONOS: a verification tool for real-time systems , 1997, International Journal on Software Tools for Technology Transfer.

[15]  Wang Yi,et al.  Uppaal in a nutshell , 1997, International Journal on Software Tools for Technology Transfer.

[16]  Pravin Varaiya,et al.  What's decidable about hybrid automata? , 1995, STOC '95.

[17]  Kim G. Larsen,et al.  CMC: A Tool for Compositional Model-Checking of Real-Time Systems , 1998, FORTE.

[18]  Luca Aceto,et al.  Is Your Model Checker on Time? On the Complexity of Model Checking for Timed Modal Logics , 1999, MFCS.

[19]  Laurent Fribourg,et al.  Automated Verification of a Parametric Real-Time Program: The ABR Conformance Protocol , 1999, CAV.

[20]  Wang Yi,et al.  Efficient Timed Reachability Analysis Using Clock Difference Diagrams , 1998, CAV.

[21]  Laurent Fribourg,et al.  Reachability Analysis of (Timed) Petri Nets Using Real Arithmetic , 1999, CONCUR.

[22]  Pierre Wolper,et al.  An automata-theoretic approach to branching-time model checking , 2000, JACM.