2012
DOI: 10.1007/978-3-642-29860-8_12
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Parametric Identification of Temporal Properties

Abstract: Abstract. Given a dense-time real-valued signal and a parameterized temporal logic formula with both magnitude and timing parameters, we compute the subset of the parameter space that renders the formula satisfied by the trace. We provide two preliminary implementations, one which follows the exact semantics and attempts to compute the validity domain by quantifier elimination in linear arithmetics and one which conducts adaptive search in the parameter space.

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Cited by 129 publications
(151 citation statements)
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“…We advocate that Metric Temporal Logic (MTL) is an excellent candidate for formalizing interesting design requirements. In this paper, we have presented a solution on how we can explore system properties using Parametric MTL (PMTL) [9]. Based on the notion of robustness of MTL [6], we have converted the parameter estimation problem into an optimization problem which we solve using S-TaLiRo [10].…”
Section: Discussionmentioning
confidence: 99%
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“…We advocate that Metric Temporal Logic (MTL) is an excellent candidate for formalizing interesting design requirements. In this paper, we have presented a solution on how we can explore system properties using Parametric MTL (PMTL) [9]. Based on the notion of robustness of MTL [6], we have converted the parameter estimation problem into an optimization problem which we solve using S-TaLiRo [10].…”
Section: Discussionmentioning
confidence: 99%
“…introduce Parametric Signal Temporal Logic (PSTL) and present two algorithms for computing approximations for parameters over a given signal. Here, we review some of the results in [9] while adapting them in the notation and formalism that we use in this paper.…”
Section: Parametric Metric Temporal Logic Over Signalsmentioning
confidence: 99%
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“…Formalisms such as Metric Temporal Logic (MTL) [2,17], and later Parametric Signal Temporal Logic (PSTL) [6] have emerged as logics well-suited to capture both the real-valued and time-varying behaviors of hybrid control systems. As PSTL is equipped with parameters, properties in PSTL naturally express template requirements.…”
Section: Introductionmentioning
confidence: 99%