---
_id: '636'
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.
alternative_title:
- LNCS
author:
- first_name: Alexey
full_name: Bakhirkin, Alexey
last_name: Bakhirkin
- first_name: Thomas
full_name: Ferrere, Thomas
id: 40960E6E-F248-11E8-B48F-1D18A9856A87
last_name: Ferrere
orcid: 0000-0001-5199-3143
- first_name: Oded
full_name: Maler, Oded
last_name: Maler
- first_name: Dogan
full_name: Ulus, Dogan
last_name: Ulus
citation:
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:10.1007/978-3-319-65765-3_11'
apa: 'Bakhirkin, A., Ferrere, T., Maler, O., & Ulus, D. (2017). On the quantitative
semantics of regular expressions over real-valued signals. In A. Abate & G.
Geeraerts (Eds.) (Vol. 10419, pp. 189–206). Presented at the FORMATS: Formal Modelling
and Analysis of Timed Systems, Berlin, Germany: Springer. https://doi.org/10.1007/978-3-319-65765-3_11'
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. https://doi.org/10.1007/978-3-319-65765-3_11.
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.'
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. On the Quantitative Semantics of Regular Expressions
over Real-Valued Signals. Edited by Alessandro Abate and Gilles Geeraerts,
vol. 10419, Springer, 2017, pp. 189–206, doi:10.1007/978-3-319-65765-3_11.
short: A. Bakhirkin, T. Ferrere, O. Maler, D. Ulus, in:, A. Abate, G. Geeraerts
(Eds.), Springer, 2017, pp. 189–206.
conference:
end_date: 2017-09-07
location: Berlin, Germany
name: 'FORMATS: Formal Modelling and Analysis of Timed Systems'
start_date: 2017-09-05
date_created: 2018-12-11T11:47:38Z
date_published: 2017-08-03T00:00:00Z
date_updated: 2021-01-12T08:07:14Z
day: '03'
department:
- _id: ToHe
doi: 10.1007/978-3-319-65765-3_11
editor:
- first_name: Alessandro
full_name: Abate, Alessandro
last_name: Abate
- first_name: Gilles
full_name: Geeraerts, Gilles
last_name: Geeraerts
intvolume: ' 10419'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-01552132
month: '08'
oa: 1
oa_version: Submitted Version
page: 189 - 206
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-331965764-6
publication_status: published
publisher: Springer
publist_id: '7152'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the quantitative semantics of regular expressions over real-valued signals
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 10419
year: '2017'
...