Robustness of temporal logic specifications for continuous-time signals

Theoretical Computer Science

Volumn 410, Issue 42, 2009, Pages 4262-4291

  Fainekos, Georgios E ^a   Pappas, George J ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Linear and metric temporal logic; Metric spaces; Robustness; Testing

Indexed keywords

BOOLEAN SATISFIABILITY; CONTINUOUS-TIME SIGNAL; DISCRETE TIME ANALYSIS; DISCRETE-TIME SIGNALS; INTERVAL TEMPORAL LOGIC; LINEAR AND METRIC TEMPORAL LOGIC; METRIC SPACES; METRIC TEMPORAL LOGIC; NON-TRIVIAL; ROBUSTNESS; TEMPORAL LOGIC SPECIFICATIONS; TOPOLOGICAL INFORMATION;

BOOLEAN FUNCTIONS; CONTINUOUS TIME SYSTEMS; LINEARIZATION; METRIC SYSTEM; SEMANTICS; SET THEORY; SPECIFICATIONS; TOPOLOGY;

TEMPORAL LOGIC;

EID: 69649100075     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2009.06.021     Document Type: Article

References (56)

1. Alur R., Courcoubetis C., Halbwachs N., Henzinger T.A., Ho P.-H., Nicollin X., Olivero A., Sifakis J., and Yovine S. The algorithmic analysis of hybrid systems. Theoretical Computer Science 138 1 (1995) 3-34
2. Alur R., and Dill D.L. Theory of timed automata. Theoretical Computer Science 126 2 (1994) 183-235
3. Alur R., Feder T., and Henzinger T.A. The benefits of relaxing punctuality. Journal of the ACM 43 (1996) 116-146
4. Alur R., and Henzinger T.A. Real-time logics: Complexity and expressiveness. Fifth Annual IEEE Symposium on Logic in Computer Science (1990), IEEE Computer Society Press, Washington, DC
5. Alur R., Torre S.L., and Madhusudan P. Perturbed timed automata. Hybrid Systems: Computation and Control. LNCS vol. 3414 (2005)
6. Bouyer P., Markey N., and Reynier P.-A. Robust model-checking of linear-time properties in timed automata. In: Correa J.R., Hevia A., and Kiwi M. (Eds). Proceedings of the 7th Latin American Symposium on Theoretical Informatics (LATIN'06). of LNCS vol. 3887 (2006), Springer, Valdivia, Chile
7. Bouyer P., Markey N., and Reynier P.-A. Robust analysis of timed automata via channel machines. In: Amadio R.M. (Ed). Proceedings of the 11th International Conference on Foundations of Software Science and Computation Structures. LNCS vol. 4962 (2008), Springer
8. Boyd S., and Vandenberghe L. Convex Optimization (2004), Cambridge University Press
9. Chechik M., Devereux B., and Gurfinkel A. Model-checking infinite state-space systems with fine-grained abstractions using SPIN. 8th International SPIN Workshop. LNCS vol. 2057 (2001), Springer
10. Chen C.-T. Linear System Theory and Design. 3rd ed. (1998), Oxford University Press
11. Clarke E.M., Grumberg O., and Peled D.A. Model Checking (1999), MIT Press, Cambridge, Massachusetts
12. Davey B.A., and Priestley H.A. Introduction to Lattices and Order. 2nd ed. (2002), Cambridge University Press, Cambridge, United Kingdom
13. de~Alfaro L., Faella M., and Stoelinga M. Linear and branching metrics for quantitative transition systems. Proceedings of the 31st ICALP. LNCS vol. 3142 (2004), Springer
14. de~Alfaro L., and Manna Z. Verification in continuous time by discrete reasoning. Proceedings of the 4th AMAST. LNCS vol. 936 (1995), Springer
15. Fainekos G.E., Girard A., and Pappas G.J. Temporal logic verification using simulation. In: Asarin E., and Bouyer P. (Eds). Proceedings of the 4th International Conference on Formal Modelling and Analysis of Timed Systems. LNCS vol. 4202 (2006), Springer
16. Fainekos G.E., Girard A., and Pappas G.J. Hierarchical synthesis of hybrid controllers from temporal logic specifications. Hybrid Systems: Computation and Control. LNCS No. 4416 (2007), Springer
17. Fainekos G.E., and Pappas G.J. Robustness of temporal logic specifications. Formal Approaches to Testing and Runtime Verification. LNCS vol. 4262 (2006), Springer
18. G.E. Fainekos, G.J. Pappas, Robustness of temporal logic specifications for finite state sequences in metric spaces, Tech. Rep. MS-CIS-06-05, Dept. of CIS, Univ. of Pennsylvania (May 2006)
19. Fainekos G.E., and Pappas G.J. Robust sampling for MITL specifications. In: Raskin J.-F., and Thiagarajan P.S. (Eds). Proceedings of the 5th International Conference on Formal Modelling and Analysis of Timed Systems. LNCS vol. 4763 (2007), Springer
20. G.E. Fainekos, G.J. Pappas, A user guide for TaLiRo, Tech. rep., Dept. of CIS, Univ. of Pennsylvania (2008)
21. Fränzle M. Analysis of hybrid systems: An ounce of realism can save an infinity of states. Proceedings of the 13th International Workshop and 8th Annual Conference of the EACSL on Computer Science Logic (CSL) (1999), Springer-Verlag, London, UK
22. Furia C.A., and Rossi M. Integrating discrete and continuous time metric temporal logics through sampling. In: Asarin E., and Bouyer P. (Eds). Proceedings of the 4th International Conference on Formal Modelling and Analysis of Timed Systems. LNCS vol. 4202 (2006), Springer
23. Furia C.A., and Rossi M. On the expressiveness of mtl variants over dense time. In: Raskin J.-F., and Thiagarajan P.S. (Eds). Proceedings of the 5th International Conference on Formal Modelling and Analysis of Timed Systems. Lecture Notes in Computer Science vol. 4763 (2007), Springer
24. Girard A., and Pappas G.J. Approximation metrics for discrete and continuous systems. IEEE Transactions on Automatic Control 52 5 (2007) 782-798
25. Gupta V., Henzinger T.A., and Jagadeesan R. Robust timed automata. HART '97: Proceedings of the International Workshop on Hybrid and Real-Time Systems (1997), Springer-Verlag, London, UK
26. Havelund K., and Rosu G. Monitoring programs using rewriting. Proceedings of the 16th IEEE International Conference on Automated Software Engineering (2001)
27. Henzinger T.A. The theory of hybrid automata. Proceedings of the 11th Annual Symposium on Logic in Computer Science (1996), IEEE Computer Society Press
28. Henzinger T.A., Majumdar R., and Prabhu V.S. Quantifying similarities between timed systems. FORMATS. LNCS vol. 3829 (2005), Springer
29. Henzinger T.A., Manna Z., and Pnueli A. What good are digital clocks?. Proceedings of the 19th ICALP. LNCS vol. 623 (1992), Springer
30. Henzinger T.A., and Raskin J.-F. Robust undecidability of timed and hybrid systems. In: Lynch N.A., and Krogh B.H. (Eds). Hybrid Systems: Computation and Control. LNCS vol. 1790 (2000), Springer
31. Hirshfeld Y., and Rabinovich A. Logics for real time: Decidability and complexity. Fundamenta Informaticae 62 1 (2004) 1-28
32. Huang J., Voeten J., and Geilen M. Real-time property preservation in approximations of timed systems. Proceedings of the 1st ACM & IEEE International Conference on Formal Methods and Models for Co-Design (2003)
33. Julius A.A., Fainekos G.E., Anand M., Lee I., and Pappas G.J. Robust test generation and coverage for hybrid systems. Hybrid Systems: Computation and Control. LNCS No. 4416 (2007), Springer
34. Kapinski J., Krogh B.H., Maler O., and Stursberg O. On systematic simulation of open continuous systems. Hybrid Systems: Computation and Control. LNCS vol. 2623 (2003), Springer
35. Khalil H.K. Nonlinear Systems. 2nd ed. (1996), Prentice-Hall
36. Koymans R. Specifying real-time properties with metric temporal logic. Real-Time Systems 2 4 (1990) 255-299
37. Kristoffersen K.J., Pedersen C., and Andersen H.R. Runtime verification of timed LTL using disjunctive normalized equation systems. Proceedings of the 3rd Workshop on Run-time Verification. ENTCS vol.89 (2003)
38. Lamine K.B., and Kabanza F. Reasoning about robot actions: A model checking approach. Advances in Plan-Based Control of Robotic Agents. LNCS vol. 2466 (2002), Springer
39. Luigi I., Johansson K.H., Jonsson U., and Francesco V. Averaging of nonsmooth systems using dither. Automatica 42 4 (2006) 669-676
40. Maler O., and Nickovic D. Monitoring temporal properties of continuous signals. Proceedings of FORMATS-FTRTFT. LNCS vol. 3253 (2004)
41. Markey N., and Schnoebelen Ph. Model checking a path (preliminary report). Proceedings of the 14th International Conference on Concurrency Theory. LNCS vol. 2761 (2003)
42. Martinon A. Distance to the intersection of two sets. Bulletin of the Australian Mathematical Society 70 (2004) 329-341
43. Munkres J. Topology. 2nd ed. (1999), Prentice Hall
44. Ogata K. Modern Control Engineering. 4th ed. (2001), Prentice Hall
45. Ouaknine J., and Worrell J. On the decidability of metric temporal logic. 20th IEEE Symposium on Logic in Computer Science (LICS) (2005)
46. Pillage L., Rohrer R., and Visweswariah C. Electronic Circuit and System Simulation Methods (1995), McGraw-Hill
47. Pnueli A. The temporal logic of programs. Proceedings of the 18th IEEE Symposium Foundations of Computer Science (1977)
48. Pnueli A. Development of hybrid systems. Formal Techniques in Real-Time and Fault-Tolerant Systems. LNCS vol. 863 (1994), Springer
49. Puri A. Dynamical properties of timed automata. Discrete Event Dynamic Systems 10 1-2 (2000) 87-113
50. Raskin J.-F., and Schobbens P.-Y. Real-time logics: Fictitious clock as an abstraction of dense time. In: Brinksma E. (Ed). Proceedings of the 3rd International Workshop on Tools and Algorithms for Construction and Analysis of Systems (TACAS). LNCS vol. 1217 (1997), Springer
51. Rizk A., Batt G., Fages F., Soliman S., Heiner M., and Uhrmacher A. On a continuous degree of satisfaction of temporal logic formulae with applications to systems biology. 6th International Conference on Computational Methods in Systems Biology. LNCS No. 5307 (2008), Springer
52. B. Shults, B. Kuipers, Qualitative simulation and temporal logic: Proving properties of continuous systems, Tech. Rep. TR AI96-244, Dept. of Computer Sciences, University of Texas at Austin (January 1996)
53. Tan L., Kim J., Sokolsky O., and Lee I. Model-based testing and monitoring for hybrid embedded systems. Proceedings of the 2004 IEEE International Conference on Information Reuse and Integration (2004)
54. Thati P., and Rosu G. Monitoring algorithms for metric temporal logic specifications. Runtime Verification. ENTCS vol. 113 (2005), Elsevier
55. Wood G.R., and Zhang B.P. Estimation of the Lipschitz constant of a function. Journal of Global Optimization 8 1 (1996) 91-103
56. Wulf M.D., Doyen L., and Raskin J.-F. Almost asap semantics: From timed models to timed implementations. Formal Aspects of Computing 17 3 (2005) 319-341