Verification methods for the divergent runs of clock systems

T.A. Henzinger, P. Kopke, in:, Springer, 1994, pp. 351–372.

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Abstract
We present a methodology for proving temporal properties of the divergent runs of reactive systems with real-valued clocks. A run diverges if time advances beyond any bound. Since the divergent runs of a system may satisfy liveness properties that are not satisfied by some convergent runs, the standard proof rules are incomplete if only divergent runs are considered. First, we develop a sound and complete proof calculus for divergence, which is based on translating clock systems into discrete systems. Then, we show that simpler proofs can be obtained for stronger divergence assumptions, such as unknown -divergence, which requires that all delays have a minimum duration of some unknown constant . We classify all real-time systems into an infinite hierarchy, according to how well they admit the translation of eventuality properties into equivalent safety properties.
Publishing Year
Date Published
1994-01-01
Acknowledgement
National Science Foundation grant CCR-9200794, United States Air Force Office of Scientific Research contract F49620-93-1-0056, Defense Advanced Research Projects Agency grant NAG2-892
Volume
863
Page
351 - 372
Conference
FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems
IST-REx-ID

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Henzinger TA, Kopke P. Verification methods for the divergent runs of clock systems. In: Vol 863. Springer; 1994:351-372. doi:10.1007/3-540-58468-4_173
Henzinger, T. A., & Kopke, P. (1994). Verification methods for the divergent runs of clock systems (Vol. 863, pp. 351–372). Presented at the FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, Springer. https://doi.org/10.1007/3-540-58468-4_173
Henzinger, Thomas A, and Peter Kopke. “Verification Methods for the Divergent Runs of Clock Systems,” 863:351–72. Springer, 1994. https://doi.org/10.1007/3-540-58468-4_173.
T. A. Henzinger and P. Kopke, “Verification methods for the divergent runs of clock systems,” presented at the FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, 1994, vol. 863, pp. 351–372.
Henzinger TA, Kopke P. 1994. Verification methods for the divergent runs of clock systems. FTRTFT: Formal Techniques in Real-Time and Fault-Tolerant Systems, LNCS, vol. 863. 351–372.
Henzinger, Thomas A., and Peter Kopke. Verification Methods for the Divergent Runs of Clock Systems. Vol. 863, Springer, 1994, pp. 351–72, doi:10.1007/3-540-58468-4_173.

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