| BRIM, Luboš, Petr DLUHOŠ, David ŠAFRÁNEK and Tomáš VEJPUSTEK. STL*: Extending signal temporal logic with signal-value freezing operator. Information and computation. Academic Press, 2014, vol. 236, January, p. 52-67. ISSN 0890-5401. Available from: https://dx.doi.org/10.1016/j.ic.2014.01.012. |
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@article{1179568,
author = {Brim, Luboš and Dluhoš, Petr and Šafránek, David and Vejpustek, Tomáš},
article_number = {January},
doi = {http://dx.doi.org/10.1016/j.ic.2014.01.012},
keywords = {Signal Temporal Logic; dynamical systems; robustness analysis; value-freezing logic},
language = {eng},
issn = {0890-5401},
journal = {Information and computation},
title = {STL*: Extending signal temporal logic with signal-value freezing operator},
volume = {236},
year = {2014}
}
TY - JOUR
ID - 1179568
AU - Brim, Luboš - Dluhoš, Petr - Šafránek, David - Vejpustek, Tomáš
PY - 2014
TI - STL*: Extending signal temporal logic with signal-value freezing operator
JF - Information and computation
VL - 236
IS - January
SP - 52-67
EP - 52-67
PB - Academic Press
SN - 08905401
KW - Signal Temporal Logic
KW - dynamical systems
KW - robustness analysis
KW - value-freezing logic
N2 - To express temporal properties of dense-time real-valued signals, the Signal Temporal Logic (STL) has been defined by Maler et al. The work presented a monitoring algorithm deciding the satisfiability of STL formulae on finite discrete samples of continuous signals. The logic is not expressive enough to sufficiently distinguish oscillatory properties important in biology. In this paper we introduce the extended logic STL* in which STL is augmented with a signal-value freezing operator allowing to express (and distinguish) various dynamic aspects of oscillations. This operator may be nested for further increase of expressiveness. The logic is supported by a monitoring algorithm prototyped in Matlab for the fragment that avoids nesting of the freezing operator. The monitoring procedure for STL* is evaluated on a sample oscillatory signal with varied parameters. Application of the extended logic is demonstrated on a case study of a biological oscillator. We also discuss expressive power of STL with respect to STL*.
ER -
BRIM, Luboš, Petr DLUHOŠ, David ŠAFRÁNEK and Tomáš VEJPUSTEK. STL*: Extending signal temporal logic with signal-value freezing operator. \textit{Information and computation}. Academic Press, 2014, vol.~236, January, p.~52-67. ISSN~0890-5401. Available from: https://dx.doi.org/10.1016/j.ic.2014.01.012.
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