Skip to main content
Top

2015 | OriginalPaper | Chapter

Monitoring and Measuring Hybrid Behaviors

A Tutorial

Author : Dejan Ničković

Published in: Runtime Verification

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Continuous and hybrid behaviors naturally arise from many dynamical systems. In this tutorial, we present state-of-the-art techniques for qualitative and quantitative reasoning about such behaviors. We introduce Signal Temporal Logic and Timed Regular Expressions as specification languages that we use to describe properties of hybrid systems. We then provide an overview of methods for (1) checking whether a hybrid behavior is correct and robust with respect to its specification; and (2) measuring of quantitative characteristics of a hybrid system by property-driven extraction of relevant data from its behaviors. We present the tools that support such analysis and discuss their application in several application domains.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
To simplify the discussion about strictness of temporal operators, we restrict ourselves to the future fragment of the logics. The same argument applies for their past fragments.
 
2
The strictness of its temporal operators “forces” the time to advance.
 
3
We use multiset semantics as several patterns may have exactly the same measured value, in which case set semantics would not record its number of occurrences.
 
4
Computing STFT of a signal requires choosing a window function - TFL leaves the possibility of choosing different window functions.
 
Literature
1.
go back to reference Akazaki, T., Hasuo, I.: Time robustness in MTL and expressivity in hybrid system falsification. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 356–374. Springer, Heidelberg (2015) CrossRef Akazaki, T., Hasuo, I.: Time robustness in MTL and expressivity in hybrid system falsification. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 356–374. Springer, Heidelberg (2015) CrossRef
3.
go back to reference Annpureddy, Y., Liu, C., Fainekos, G., Sankaranarayanan, S.: S-TaLiRo: a tool for temporal logic falsification for hybrid systems. In: Abdulla, P.A., Leino, K.R.M. (eds.) TACAS 2011. LNCS, vol. 6605, pp. 254–257. Springer, Heidelberg (2011) CrossRef Annpureddy, Y., Liu, C., Fainekos, G., Sankaranarayanan, S.: S-TaLiRo: a tool for temporal logic falsification for hybrid systems. In: Abdulla, P.A., Leino, K.R.M. (eds.) TACAS 2011. LNCS, vol. 6605, pp. 254–257. Springer, Heidelberg (2011) CrossRef
4.
go back to reference Asarin, E., Caspi, P., Maler, O.: A Kleene theorem for timed automata. In: Logic in Computer Science (LICS), pp. 160–171 (1997) Asarin, E., Caspi, P., Maler, O.: A Kleene theorem for timed automata. In: Logic in Computer Science (LICS), pp. 160–171 (1997)
6.
go back to reference Eugene Asarin, Alexandre Donzé, Oded Maler, and Dejan Nickovic. Parametric identification of temporal properties. In Runtime Verification - Second International Conference, RV 2011, San Francisco, CA, USA, September 27–30, 2011, Revised Selected Papers, pages 147–160 (2011) Eugene Asarin, Alexandre Donzé, Oded Maler, and Dejan Nickovic. Parametric identification of temporal properties. In Runtime Verification - Second International Conference, RV 2011, San Francisco, CA, USA, September 27–30, 2011, Revised Selected Papers, pages 147–160 (2011)
7.
go back to reference Bartocci, E., Bortolussi, L., Nenzi, L.: A temporal logic approach to modular design of synthetic biological circuits. In: Gupta, A., Henzinger, T.A. (eds.) CMSB 2013. LNCS, vol. 8130, pp. 164–177. Springer, Heidelberg (2013) CrossRef Bartocci, E., Bortolussi, L., Nenzi, L.: A temporal logic approach to modular design of synthetic biological circuits. In: Gupta, A., Henzinger, T.A. (eds.) CMSB 2013. LNCS, vol. 8130, pp. 164–177. Springer, Heidelberg (2013) CrossRef
8.
go back to reference Bartocci, E., Bortolussi, L., Nenzi, L., Sanguinetti, G.: System design of stochastic models using robustness of temporal properties. Theor. Comput. Sci. 587, 3–25 (2015)MathSciNetCrossRefMATH Bartocci, E., Bortolussi, L., Nenzi, L., Sanguinetti, G.: System design of stochastic models using robustness of temporal properties. Theor. Comput. Sci. 587, 3–25 (2015)MathSciNetCrossRefMATH
9.
go back to reference Bartocci, E., Bortolussi, L., Sanguinetti, G.: Data-driven statistical learning of temporal logic properties. In: Legay, A., Bozga, M. (eds.) FORMATS 2014. LNCS, vol. 8711, pp. 23–37. Springer, Heidelberg (2014) Bartocci, E., Bortolussi, L., Sanguinetti, G.: Data-driven statistical learning of temporal logic properties. In: Legay, A., Bozga, M. (eds.) FORMATS 2014. LNCS, vol. 8711, pp. 23–37. Springer, Heidelberg (2014)
10.
go back to reference Brim, L., Dluhos, P., Safránek, D., Vejpustek, T.: \(\text{ STL }^*\): extending signal temporal logic with signal-value freezing operator. Inf. Comput. 236, 52–67 (2014)MathSciNetCrossRefMATH Brim, L., Dluhos, P., Safránek, D., Vejpustek, T.: \(\text{ STL }^*\): extending signal temporal logic with signal-value freezing operator. Inf. Comput. 236, 52–67 (2014)MathSciNetCrossRefMATH
11.
go back to reference Brim, L., Vejpustek, T., Safránek, D., Fabriková, J.: Robustness analysis for value-freezing signal temporal logic. In: Proceedings Second International Workshop on Hybrid Systems and Biology, HSB 2013, Taormina, Italy, 2nd September 2013, pp. 20–36 (2013) Brim, L., Vejpustek, T., Safránek, D., Fabriková, J.: Robustness analysis for value-freezing signal temporal logic. In: Proceedings Second International Workshop on Hybrid Systems and Biology, HSB 2013, Taormina, Italy, 2nd September 2013, pp. 20–36 (2013)
12.
go back to reference Bufo, S., Bartocci, E., Sanguinetti, G., Borelli, M., Lucangelo, U., Bortolussi, L.: Temporal logic based monitoring of assisted ventilation in intensive care patients. In: Margaria, T., Steffen, B. (eds.) ISoLA 2014, Part II. LNCS, vol. 8803, pp. 391–403. Springer, Heidelberg (2014) Bufo, S., Bartocci, E., Sanguinetti, G., Borelli, M., Lucangelo, U., Bortolussi, L.: Temporal logic based monitoring of assisted ventilation in intensive care patients. In: Margaria, T., Steffen, B. (eds.) ISoLA 2014, Part II. LNCS, vol. 8803, pp. 391–403. Springer, Heidelberg (2014)
13.
go back to reference Chakarov, A., Sankaranarayanan, S., Fainekos, G.E.: Combining time and frequency domain specifications for periodic signals. In: Runtime Verification - Second International Conference, RV 2011, San Francisco, CA, USA, September 27–30, 2011, Revised Selected Papers, pp. 294–309 (2011) Chakarov, A., Sankaranarayanan, S., Fainekos, G.E.: Combining time and frequency domain specifications for periodic signals. In: Runtime Verification - Second International Conference, RV 2011, San Francisco, CA, USA, September 27–30, 2011, Revised Selected Papers, pp. 294–309 (2011)
14.
go back to reference Deshmukh, J.V., Majumdar, R., Prabhu, V.S.: Quantifying conformance using the skorokhod metric. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 234–250. Springer, Heidelberg (2015) CrossRef Deshmukh, J.V., Majumdar, R., Prabhu, V.S.: Quantifying conformance using the skorokhod metric. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 234–250. Springer, Heidelberg (2015) CrossRef
15.
go back to reference Dluhos, P., Brim, L., Safránek, D.: On expressing and monitoring oscillatory dynamics. In: Proceedings First International Workshop on Hybrid Systems and Biology, HSB 2012, Newcastle Upon Tyne, UK, 3rd September 2012, pp. 73–87 (2012) Dluhos, P., Brim, L., Safránek, D.: On expressing and monitoring oscillatory dynamics. In: Proceedings First International Workshop on Hybrid Systems and Biology, HSB 2012, Newcastle Upon Tyne, UK, 3rd September 2012, pp. 73–87 (2012)
16.
go back to reference Dokhanchi, A., Hoxha, B., Fainekos, G.: On-line monitoring for temporal logic robustness. In: Bonakdarpour, B., Smolka, S.A. (eds.) RV 2014. LNCS, vol. 8734, pp. 231–246. Springer, Heidelberg (2014) Dokhanchi, A., Hoxha, B., Fainekos, G.: On-line monitoring for temporal logic robustness. In: Bonakdarpour, B., Smolka, S.A. (eds.) RV 2014. LNCS, vol. 8734, pp. 231–246. Springer, Heidelberg (2014)
17.
go back to reference Donzé, A., Fanchon, E., Gattepaille, L.M., Maler, O., Tracqui, P.: Robustness analysis and behavior discrimination in enzymatic reaction networks. PLoS ONE 6(9), e24246 (2011)CrossRef Donzé, A., Fanchon, E., Gattepaille, L.M., Maler, O., Tracqui, P.: Robustness analysis and behavior discrimination in enzymatic reaction networks. PLoS ONE 6(9), e24246 (2011)CrossRef
18.
go back to reference Donzé, A.: Breach, a toolbox for verification and parameter synthesis of hybrid systems. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol. 6174, pp. 167–170. Springer, Heidelberg (2010) CrossRef Donzé, A.: Breach, a toolbox for verification and parameter synthesis of hybrid systems. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol. 6174, pp. 167–170. Springer, Heidelberg (2010) CrossRef
19.
go back to reference Donzé, A., Ferrère, T., Maler, O.: Efficient robust monitoring for STL. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 264–279. Springer, Heidelberg (2013) CrossRef Donzé, A., Ferrère, T., Maler, O.: Efficient robust monitoring for STL. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 264–279. Springer, Heidelberg (2013) CrossRef
20.
go back to reference Donzé, A., Maler, O.: Robust satisfaction of temporal logic over real-valued signals. In: Chatterjee, K., Henzinger, T.A. (eds.) FORMATS 2010. LNCS, vol. 6246, pp. 92–106. Springer, Heidelberg (2010) CrossRef Donzé, A., Maler, O.: Robust satisfaction of temporal logic over real-valued signals. In: Chatterjee, K., Henzinger, T.A. (eds.) FORMATS 2010. LNCS, vol. 6246, pp. 92–106. Springer, Heidelberg (2010) CrossRef
21.
go back to reference Donzé, A., Maler, O., Bartocci, E., Nickovic, D., Grosu, R., Smolka, S.: On temporal logic and signal processing. In: Chakraborty, S., Mukund, M. (eds.) ATVA 2012. LNCS, vol. 7561, pp. 92–106. Springer, Heidelberg (2012) CrossRef Donzé, A., Maler, O., Bartocci, E., Nickovic, D., Grosu, R., Smolka, S.: On temporal logic and signal processing. In: Chakraborty, S., Mukund, M. (eds.) ATVA 2012. LNCS, vol. 7561, pp. 92–106. Springer, Heidelberg (2012) CrossRef
22.
go back to reference Dreossi, T., Dang, T., Donzé, A., Kapinski, J., Jin, X., Deshmukh, J.V.: Efficient guiding strategies for testing of temporal properties of hybrid systems. In: Havelund, K., Holzmann, G., Joshi, R. (eds.) NFM 2015. LNCS, vol. 9058, pp. 127–142. Springer, Heidelberg (2015) Dreossi, T., Dang, T., Donzé, A., Kapinski, J., Jin, X., Deshmukh, J.V.: Efficient guiding strategies for testing of temporal properties of hybrid systems. In: Havelund, K., Holzmann, G., Joshi, R. (eds.) NFM 2015. LNCS, vol. 9058, pp. 127–142. Springer, Heidelberg (2015)
23.
go back to reference Fainekos, G.E., Pappas, G.J.: Robustness of temporal logic specifications for continuous-time signals. Theor. Comput. Sci. 410(42), 4262–4291 (2009)MathSciNetCrossRefMATH Fainekos, G.E., Pappas, G.J.: Robustness of temporal logic specifications for continuous-time signals. Theor. Comput. Sci. 410(42), 4262–4291 (2009)MathSciNetCrossRefMATH
24.
go back to reference Fainekos, G.E., Sankaranarayanan, S., Ueda, K., Yazarel, H.: Verification of automotive control applications using S-TaLiRo. In American Control Conference, ACC 2012, Montreal, QC, Canada, June 27–29, 2012, pp. 3567–3572 (2012) Fainekos, G.E., Sankaranarayanan, S., Ueda, K., Yazarel, H.: Verification of automotive control applications using S-TaLiRo. In American Control Conference, ACC 2012, Montreal, QC, Canada, June 27–29, 2012, pp. 3567–3572 (2012)
25.
go back to reference Ferrère, T., Maler, O., Ničković, D., Ulus, D.: Measuring with timed patterns. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 322–337. Springer, Heidelberg (2015) CrossRef Ferrère, T., Maler, O., Ničković, D., Ulus, D.: Measuring with timed patterns. In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9207, pp. 322–337. Springer, Heidelberg (2015) CrossRef
26.
go back to reference Gol, E.A., Bartocci, E., Belta, C.: A formal methods approach to pattern synthesis in reaction diffusion systems. In: 53rd IEEE Conference on Decision and Control, CDC 2014, Los Angeles, CA, USA, December 15–17, pp. 108–113 (2014) Gol, E.A., Bartocci, E., Belta, C.: A formal methods approach to pattern synthesis in reaction diffusion systems. In: 53rd IEEE Conference on Decision and Control, CDC 2014, Los Angeles, CA, USA, December 15–17, pp. 108–113 (2014)
27.
go back to reference Haghighi, I., Jones, A., Kong, Z., Bartocci, E., Grosu, R., Belta, C.: SpaTeL: a novel spatial-temporal logic and its applications to networked systems. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, pp. 189–198 (2015) Haghighi, I., Jones, A., Kong, Z., Bartocci, E., Grosu, R., Belta, C.: SpaTeL: a novel spatial-temporal logic and its applications to networked systems. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, pp. 189–198 (2015)
28.
go back to reference Hoxha, B., Bach, H., Abbas, H., Dokhanci, A., Kobayashi, Y., Fainekos, G.: Towards formal specification visualization for testing and monitoring of cyber-physical systems. In: International Workshop on Design and Implementation of Formal Tools and Systems, DIFTS 2014 (2014) Hoxha, B., Bach, H., Abbas, H., Dokhanci, A., Kobayashi, Y., Fainekos, G.: Towards formal specification visualization for testing and monitoring of cyber-physical systems. In: International Workshop on Design and Implementation of Formal Tools and Systems, DIFTS 2014 (2014)
29.
go back to reference Distributed System Interface. DSI3 Bus Standard. DSI Consortium Distributed System Interface. DSI3 Bus Standard. DSI Consortium
30.
go back to reference Juniwal, G., Donzé, A., Jensen, J.C., Seshia, S.A.: CPSGrader: Synthesizing temporal logic testers for auto-grading an embedded systems laboratory. In: 2014 International Conference on Embedded Software, EMSOFT 2014, New Delhi, India, October 12–17, 2014, pp. 24:1–24:10 (2014) Juniwal, G., Donzé, A., Jensen, J.C., Seshia, S.A.: CPSGrader: Synthesizing temporal logic testers for auto-grading an embedded systems laboratory. In: 2014 International Conference on Embedded Software, EMSOFT 2014, New Delhi, India, October 12–17, 2014, pp. 24:1–24:10 (2014)
31.
go back to reference Koymans, R.: Specifying real-time properties with metric temporal logic. Real-Time Syst. 2(4), 255–299 (1990)CrossRef Koymans, R.: Specifying real-time properties with metric temporal logic. Real-Time Syst. 2(4), 255–299 (1990)CrossRef
32.
go back to reference Majumdar, R., Prabhu, V.S.: Computing the Skorokhod distance between polygonal traces. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, 2015, pp. 199–208 (2015) Majumdar, R., Prabhu, V.S.: Computing the Skorokhod distance between polygonal traces. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, 2015, pp. 199–208 (2015)
33.
go back to reference Maler, O., Nickovic, D.: Monitoring temporal properties of continuous signals. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS 2004 and FTRTFT 2004. LNCS, vol. 3253, pp. 152–166. Springer, Heidelberg (2004) CrossRef Maler, O., Nickovic, D.: Monitoring temporal properties of continuous signals. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS 2004 and FTRTFT 2004. LNCS, vol. 3253, pp. 152–166. Springer, Heidelberg (2004) CrossRef
34.
go back to reference Maler, O., Nickovic, D.: Monitoring properties of analog and mixed-signal circuits. STTT 15(3), 247–268 (2013)CrossRef Maler, O., Nickovic, D.: Monitoring properties of analog and mixed-signal circuits. STTT 15(3), 247–268 (2013)CrossRef
35.
go back to reference Mobilia, N., Donzé, A., Moulis, J.M., Fanchon, E.: Producing a set of models for the iron homeostasis network. In: Proceedings Second International Workshop on Hybrid Systems and Biology, HSB 2013, Taormina, Italy, 2nd September 2013, pp. 92–98 (2013) Mobilia, N., Donzé, A., Moulis, J.M., Fanchon, E.: Producing a set of models for the iron homeostasis network. In: Proceedings Second International Workshop on Hybrid Systems and Biology, HSB 2013, Taormina, Italy, 2nd September 2013, pp. 92–98 (2013)
36.
go back to reference Nguyen, T., Ničković, D.: Assertion-based monitoring in practice – checking correctness of an automotive sensor interface. In: Lang, F., Flammini, F. (eds.) FMICS 2014. LNCS, vol. 8718, pp. 16–32. Springer, Heidelberg (2014) Nguyen, T., Ničković, D.: Assertion-based monitoring in practice – checking correctness of an automotive sensor interface. In: Lang, F., Flammini, F. (eds.) FMICS 2014. LNCS, vol. 8718, pp. 16–32. Springer, Heidelberg (2014)
37.
go back to reference Nickovic, D., Maler, O.: AMT: a property-based monitoring tool for analog systems. In: Proceedings of the Formal Modeling and Analysis of Timed Systems, 5th International Conference, FORMATS 2007, Salzburg, Austria, October 3–5, 2007, pp. 304–319 (2007) Nickovic, D., Maler, O.: AMT: a property-based monitoring tool for analog systems. In: Proceedings of the Formal Modeling and Analysis of Timed Systems, 5th International Conference, FORMATS 2007, Salzburg, Austria, October 3–5, 2007, pp. 304–319 (2007)
38.
go back to reference Pnueli, A.: The temporal logic of programs. In: 18th Annual Symposium on Foundations of Computer Science, Providence, Rhode Island, USA, 31 October - 1 November 1977, pp. 46–57 (1977) Pnueli, A.: The temporal logic of programs. In: 18th Annual Symposium on Foundations of Computer Science, Providence, Rhode Island, USA, 31 October - 1 November 1977, pp. 46–57 (1977)
39.
go back to reference Raman, V., Donzé, A., Sadigh, D., Murray, R.M., Seshia, S.A.: Reactive synthesis from signal temporal logic specifications. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, 2015, pp. 239–248 (2015) Raman, V., Donzé, A., Sadigh, D., Murray, R.M., Seshia, S.A.: Reactive synthesis from signal temporal logic specifications. In: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, HSCC 2015, Seattle, WA, USA, April 14–16, 2015, pp. 239–248 (2015)
40.
go back to reference Rizk, A., Batt, G., Fages, F., Soliman, S.: On a continuous degree of satisfaction of temporal logic formulae with applications to systems biology. In: Heiner, M., Uhrmacher, A.M. (eds.) CMSB 2008. LNCS (LNBI), vol. 5307, pp. 251–268. Springer, Heidelberg (2008) CrossRef Rizk, A., Batt, G., Fages, F., Soliman, S.: On a continuous degree of satisfaction of temporal logic formulae with applications to systems biology. In: Heiner, M., Uhrmacher, A.M. (eds.) CMSB 2008. LNCS (LNBI), vol. 5307, pp. 251–268. Springer, Heidelberg (2008) CrossRef
41.
go back to reference Sankaranarayanan, S., Miller, C., Raghunathan, R., Ravanbakhsh, H., Fainekos, G.E.: A model-based approach to synthesizing insulin infusion pump usage parameters for diabetic patients. In: 2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton Park & Retreat Center, Monticello, IL, USA, October 1–5, 2012, pp. 1610–1617 (2012) Sankaranarayanan, S., Miller, C., Raghunathan, R., Ravanbakhsh, H., Fainekos, G.E.: A model-based approach to synthesizing insulin infusion pump usage parameters for diabetic patients. In: 2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton Park & Retreat Center, Monticello, IL, USA, October 1–5, 2012, pp. 1610–1617 (2012)
42.
go back to reference Stoma, S., Donzé, A., Bertaux, F., Maler, O., Batt, G.: STL-based analysis of TRAIL-induced apoptosis challenges the notion of type I/type II cell line classification. PLoS Comput. Bio. 9(5), e1003056 (2013)CrossRef Stoma, S., Donzé, A., Bertaux, F., Maler, O., Batt, G.: STL-based analysis of TRAIL-induced apoptosis challenges the notion of type I/type II cell line classification. PLoS Comput. Bio. 9(5), e1003056 (2013)CrossRef
43.
go back to reference Ulus, D., Ferrère, T., Asarin, E., Maler, O.: Timed pattern matching. In: Legay, A., Bozga, M. (eds.) FORMATS 2014. LNCS, vol. 8711, pp. 222–236. Springer, Heidelberg (2014) Ulus, D., Ferrère, T., Asarin, E., Maler, O.: Timed pattern matching. In: Legay, A., Bozga, M. (eds.) FORMATS 2014. LNCS, vol. 8711, pp. 222–236. Springer, Heidelberg (2014)
Metadata
Title
Monitoring and Measuring Hybrid Behaviors
Author
Dejan Ničković
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-23820-3_26

Premium Partner