Abstract
We present a novel approach to the offline monitoring of specifications expressed in metric temporal logic (MTL). Our monitoring algorithm exploits multiple one-way reading heads that traverse a trace sequentially. We present both theoretical and practical results that show this substantially improves upon the state-of-the-art. In particular, our algorithm is the first offline monitoring algorithm for MTL with past and bounded-future temporal operators that is almost trace-length independent and outputs a trace of Boolean verdicts denoting the monitored formula’s satisfaction at every position in the input trace. In addition, our algorithm’s worst-case space complexity is linear in the formula size, while previous algorithms were exponential. Moreover, we compare our implementation of the algorithm with another almost trace-length independent tool that outputs non-standard verdicts to achieve this space complexity. Our tool used less memory and runs significantly faster, for example yielding a 10-fold improvement on average on random formulas, while producing better output.
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Acknowledgments
We thank the anonymous reviewers for their valuable suggestions on earlier drafts of this paper, which helped us to improve the presentation. This research is supported by the Swiss National Science Foundation grant “Big Data Monitoring” (167162).
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Raszyk, M., Basin, D., Krstić, S., Traytel, D. (2019). Multi-head Monitoring of Metric Temporal Logic. In: Chen, YF., Cheng, CH., Esparza, J. (eds) Automated Technology for Verification and Analysis. ATVA 2019. Lecture Notes in Computer Science(), vol 11781. Springer, Cham. https://doi.org/10.1007/978-3-030-31784-3_9
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