Kapur,Arjun; Henzinger, Thomas AIST Austria ; Manna, Zohar; Pnueli,Amir
We propose a methodology for the specification, verification, and design of hybrid systems. The methodology consists of the computational model of Concrete Phase Transition Systems (cptss), the specification language of Hybrid Temporal Logic (htl), the graphical system description language of Hybrid Automata, and a proof system for verifying that hybrid automata satisfy their HTL specifications. The novelty of the approach lies in the continuous-time logic, which allows specification of both point-based and interval-based properties (i.e., properties which describe changes over an interval) and provides direct references to derivatives of variables, and in the proof system that supports verification of point-based and interval-based properties. The proof rules demonstrate that sound and convenient induction rules can be established for continuous-time logics. The proof rules are illustrated on several examples.
Supported in part by the National Science Foundation under grants CCR-92-23226 and CCR-9200794, by the Defense Advanced Research Projects Agency under grants NAG2-703 and NAG2-892, by the United States Air Force Office of Scientific Research under contracts F49620-93-1-0139 and F49620-93-1-0056, and by the European Community ESPRIT Basic Research Action Project 6021 (REACT). Supported in part by a National Science Foundation Graduate Research Fellowship.
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FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems
Kapur A, Henzinger TA, Manna Z, Pnueli A. Proving safety properties of hybrid systems. In: Vol 863. Springer; 1994:431-454. doi:10.1007/3-540-58468-4_177
Kapur, A., Henzinger, T. A., Manna, Z., & Pnueli, A. (1994). Proving safety properties of hybrid systems (Vol. 863, pp. 431–454). Presented at the FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, Springer. https://doi.org/10.1007/3-540-58468-4_177
Kapur, Arjun, Thomas A Henzinger, Zohar Manna, and Amir Pnueli. “Proving Safety Properties of Hybrid Systems,” 863:431–54. Springer, 1994. https://doi.org/10.1007/3-540-58468-4_177.
A. Kapur, T. A. Henzinger, Z. Manna, and A. Pnueli, “Proving safety properties of hybrid systems,” presented at the FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, 1994, vol. 863, pp. 431–454.
Kapur A, Henzinger TA, Manna Z, Pnueli A. 1994. Proving safety properties of hybrid systems. FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, LNCS, vol. 863. 431–454.
Kapur, Arjun, et al. Proving Safety Properties of Hybrid Systems. Vol. 863, Springer, 1994, pp. 431–54, doi:10.1007/3-540-58468-4_177.