{"author":[{"full_name":"Bakhirkin, Alexey","last_name":"Bakhirkin","first_name":"Alexey"},{"orcid":"0000-0001-5199-3143","first_name":"Thomas","id":"40960E6E-F248-11E8-B48F-1D18A9856A87","full_name":"Ferrere, Thomas","last_name":"Ferrere"},{"full_name":"Maler, Oded","last_name":"Maler","first_name":"Oded"},{"last_name":"Ulus","full_name":"Ulus, Dogan","first_name":"Dogan"}],"type":"conference","year":"2017","date_created":"2018-12-11T11:47:38Z","volume":10419,"month":"08","date_updated":"2021-01-12T08:07:14Z","page":"189 - 206","title":"On the quantitative semantics of regular expressions over real-valued signals","_id":"636","department":[{"_id":"ToHe"}],"intvolume":"     10419","oa":1,"oa_version":"Submitted Version","publication_status":"published","editor":[{"full_name":"Abate, Alessandro","last_name":"Abate","first_name":"Alessandro"},{"first_name":"Gilles","last_name":"Geeraerts","full_name":"Geeraerts, Gilles"}],"date_published":"2017-08-03T00:00:00Z","publication_identifier":{"isbn":["978-331965764-6"]},"project":[{"grant_number":"S11402-N23","_id":"25F5A88A-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Moderne Concurrency Paradigms"},{"call_identifier":"FWF","_id":"25F42A32-B435-11E9-9278-68D0E5697425","name":"The Wittgenstein Prize","grant_number":"Z211"}],"main_file_link":[{"url":"https://hal.archives-ouvertes.fr/hal-01552132","open_access":"1"}],"status":"public","day":"03","alternative_title":["LNCS"],"quality_controlled":"1","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"7152","publisher":"Springer","abstract":[{"lang":"eng","text":"Signal regular expressions can specify sequential properties of real-valued signals based on threshold conditions, regular operations, and duration constraints. In this paper we endow them with a quantitative semantics which indicates how robustly a signal matches or does not match a given expression. First, we show that this semantics is a safe approximation of a distance between the signal and the language defined by the expression. Then, we consider the robust matching problem, that is, computing the quantitative semantics of every segment of a given signal relative to an expression. We present an algorithm that solves this problem for piecewise-constant and piecewise-linear signals and show that for such signals the robustness map is a piecewise-linear function. The availability of an indicator describing how robustly a signal segment matches some regular pattern provides a general framework for quantitative monitoring of cyber-physical systems."}],"language":[{"iso":"eng"}],"citation":{"ista":"Bakhirkin A, Ferrere T, Maler O, Ulus D. 2017. On the quantitative semantics of regular expressions over real-valued signals. FORMATS: Formal Modelling and Analysis of Timed Systems, LNCS, vol. 10419, 189–206.","mla":"Bakhirkin, Alexey, et al. <i>On the Quantitative Semantics of Regular Expressions over Real-Valued Signals</i>. Edited by Alessandro Abate and Gilles Geeraerts, vol. 10419, Springer, 2017, pp. 189–206, doi:<a href=\"https://doi.org/10.1007/978-3-319-65765-3_11\">10.1007/978-3-319-65765-3_11</a>.","apa":"Bakhirkin, A., Ferrere, T., Maler, O., &#38; Ulus, D. (2017). On the quantitative semantics of regular expressions over real-valued signals. In A. Abate &#38; G. Geeraerts (Eds.) (Vol. 10419, pp. 189–206). Presented at the FORMATS: Formal Modelling and Analysis of Timed Systems, Berlin, Germany: Springer. <a href=\"https://doi.org/10.1007/978-3-319-65765-3_11\">https://doi.org/10.1007/978-3-319-65765-3_11</a>","short":"A. Bakhirkin, T. Ferrere, O. Maler, D. Ulus, in:, A. Abate, G. Geeraerts (Eds.), Springer, 2017, pp. 189–206.","chicago":"Bakhirkin, Alexey, Thomas Ferrere, Oded Maler, and Dogan Ulus. “On the Quantitative Semantics of Regular Expressions over Real-Valued Signals.” edited by Alessandro Abate and Gilles Geeraerts, 10419:189–206. Springer, 2017. <a href=\"https://doi.org/10.1007/978-3-319-65765-3_11\">https://doi.org/10.1007/978-3-319-65765-3_11</a>.","ama":"Bakhirkin A, Ferrere T, Maler O, Ulus D. On the quantitative semantics of regular expressions over real-valued signals. In: Abate A, Geeraerts G, eds. Vol 10419. Springer; 2017:189-206. doi:<a href=\"https://doi.org/10.1007/978-3-319-65765-3_11\">10.1007/978-3-319-65765-3_11</a>","ieee":"A. Bakhirkin, T. Ferrere, O. Maler, and D. Ulus, “On the quantitative semantics of regular expressions over real-valued signals,” presented at the FORMATS: Formal Modelling and Analysis of Timed Systems, Berlin, Germany, 2017, vol. 10419, pp. 189–206."},"conference":{"location":"Berlin, Germany","start_date":"2017-09-05","end_date":"2017-09-07","name":"FORMATS: Formal Modelling and Analysis of Timed Systems"},"scopus_import":1,"doi":"10.1007/978-3-319-65765-3_11"}