On the expressiveness of TPTL and MTL

Information and Computation

Volumn 208, Issue 2, 2010, Pages 97-116

  Bouyer, Patricia ^a   Chevalier, Fabrice ^a   Markey, Nicolas ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

LINEARIZATION;

EID: 73549089903     PISSN: 08905401     EISSN: 10902651     Source Type: Journal    
DOI: 10.1016/j.ic.2009.10.004     Document Type: Article

References (43)

1. Rajeev Alur, Costas Courcoubetis, David Dill, Model-checking for real-time systems, in: Proceedings of the Fifth Annual Symposium on Logic in Computer Science (LICS'90), IEEE Computer Society Press, 1990, pp. 414-425.
2. Alur R., Courcoubetis C., and Dill D. Model-checking in dense real-time. Information and Computation 104 1 (1993) 2-34
3. Alur R., and Dill D. A theory of timed automata. Theoretical Computer Science 126 2 (1994) 183-235
4. Alur R., Feder T., and Henzinger T.A. The benefits of relaxing punctuality. Journal of the ACM 43 1 (1996) 116-146
5. Rajeev Alur, Thomas A. Henzinger, Real-time logics: complexity and expressiveness, in: Proceedings of the Fifth Annual Symposium on Logic in Computer Science (LICS'90), IEEE Computer Society Press, 1990, pp. 390-401 (Preliminary version of Ref. [8]).
6. Rajeev Alur, Thomas A. Henzinger, Back to the future: towards a theory of timed regular languages, in: Proceedings of the 33rd Annual Symposium on Foundations of Computer Science (FOCS'92), IEEE Computer Society Press, 1992, pp. 177-186.
7. Rajeev Alur, Thomas A. Henzinger, Logics and models of real-time: a survey, in: Real-Time: Theory in Practice, Proceedings of the REX Workshop 1991, Lecture Notes in Computer Science, vol. 600, Springer, 1992, pp. 74-106.
8. Alur R., and Henzinger T.A. Real-time logics: complexity and expressiveness. Information and Computation 104 1 (1993) 35-77
9. Alur R., and Henzinger T.A. A really temporal logic. Journal of the ACM 41 1 (1994) 181-204
10. Rajeev Alur, Techniques for Automatic Verification of Real-Time Systems, Ph.D. Thesis, Stanford University, Stanford, CA, USA, 1991.
11. Patricia Bouyer, Franck Cassez, François Laroussinie, Modal logics for timed control, in: Proceedings of the 16th International Conference on Concurrency Theory (CONCUR'05), Lecture Notes in Computer Science, vol. 3821, Springer, 2005, pp. 81-94.
12. Ahmad Bouajjani, Yassine Lakhnech, Temporal logic + timed automata: expressiveness and decidability, in: Proceedings of the Sixth International Conference on Concurrency Theory (CONCUR'95), Lecture Notes in Computer Science, vol. 962, Springer, 1995, pp. 531-545.
13. Deepak D'Souza, Raveendra Holla, Deepak Vankadaru, On the expressiveness of TPTL in the pointwise and continuous semantics, Unpublished manuscript, 2007.
14. Deepak D'Souza, Mohan M. Raj, Pavithra Prabhakar, Eliminating Past Operators in Metric Temporal Logic, Technical Report IISc-CSA-TR-2006-11, IISC Bangalore, India, 2006.
15. Deepak D'Souza, Pavithra Prabhakar, On the expressiveness of MTL with past operators, in: Proceedings of the Fourth International Conference on Formal Modeling and Analysis of Timed Systems (FORMATS'06), Lecture Notes in Computer Science, vol. 4202, Springer, 2006, pp. 322-336.
16. D'Souza D., and Prabhakar P. On the expressiveness of MTL in the pointwise and continuous semantics. Formal Methods Letters 9 1 (2007) 1-4
17. Allen Emerson E., and Halpern J.Y. Sometimes and not never revisited: on branching versus linear time temporal logic. Journal of the ACM 33 1 (1986) 151-178
18. E. Allen Emerson, Temporal and modal logic, in: Formal Models and Semantics, Handbook of Theoretical Computer Science, vol. B, MIT Press Cambridge, 1991, pp. 995-1072.
19. Carlo A. Furia, Matteo Rossi, On the expressiveness of mtl variants over dense time, in: Jean-François Raskin, P.S. Thiagarajan (Eds.), Proceedings of the Fifth International Conferences on Formal Modelling and Analysis of Timed Systems (FORMATS'07), Lecture Notes in Computer Science, Springer-Verlag, 2007, pp. 163-178.
20. Dov M. Gabbay, Amir Pnueli, Saharon Shelah, Jonathan Stavi, On the temporal analysis of fairness, in: Conference Record Seventh ACM Symposium on Principles of Programming Languages (POPL'80), ACM Press, 1980, pp. 163-173.
21. Thomas A. Henzinger, It's about time: real-time logics reviewed, in: Proceedings of the Ninth International Conference on Concurrency Theory (CONCUR'98), Lecture Notes in Computer Science, vol. 1466, Springer, 1998, pp. 439-454.
22. Henzinger T.A., Nicollin X., Sifakis J., and Yovine S. Symbolic model-checking for real-time systems. Information and Computation 111 2 (1994) 193-244
23. Yoram Hirshfeld, Alexander Rabinovich, An expressive temporal logic for real time, in: Rastislav Královič, Pawel Urzyczyn (Eds.), Proceedings of the 31st International Symposium on Mathematical Foundations of Computer Science (MFCS'06), Lecture Notes in Computer Science, vol. 4162, Springer-Verlag, 2006, pp. 492-504.
24. Hirshfeld Y., and Rabinovich A. Expressiveness of metric modalities for continuous time. Logical Methods in Computer Science 3 1 (2007)
25. Johan A.W. Kamp, Tense Logic and the Theory of Linear Order, Ph.D. Thesis, UCLA, Los Angeles, CA, USA, 1968.
26. Koymans R. Specifying real-time properties with metric temporal logic. Real-Time Systems 2 4 (1990) 255-299
27. Laroussinie F. About the expressive power of CTL combinators. Information Processing Letters 54 6 (1995) 343-345
28. François Laroussinie, Nicolas Markey, Philippe Schnoebelen, Temporal logic with forgettable past, in: Proceedings of the 17th Annual Symposium on Logic in Computer Science (LICS'02), IEEE Computer Society Press, 2002, pp. 383-392.
29. Orna Lichtenstein, Amir Pnueli, Lenore D. Zuck, The glory of the past, in: Proceedings of the Conference on Logics of Programs, Lecture Notes in Computer Science, vol. 193, Springer-Verlag, 1985, pp. 413-424.
30. Markey N. Temporal logic with past is exponentially more succinct. EATCS Bulletin 79 (2003) 122-128
31. Markey N., and Raskin J.-F. Model checking restricted sets of timed paths. Theoretical Computer Science 358 2-3 (2006) 273-292
32. Ostroff J.S. Formal methods for the specification and design of real-time safety critical systems. Journal of Systems and Software 18 1 (1992) 33-60
33. Joël Ouaknine, James B. Worrell, On the decidability of metric temporal logic, in: Proceedings of the 19th Annual Symposium on Logic in Computer Science (LICS'05), IEEE Computer Society Press, 2005.
34. Amir Pnueli, The temporal logic of programs, in: Proceedings of the 18th Annual Symposium on Foundations of Computer Science (FOCS'77), IEEE Computer Society Press, 1977, pp. 46-57.
35. Jean-François Raskin, Logics, Automata and Classical Theories for Deciding Real-Time, Ph.D. Thesis, University of Namur, Namur, Belgium, 1999.
36. Reynolds M. The complexity of the temporal logic with until over general linear time. Journal of Computer and System Sciences 66 2 (2003) 393-426
37. Jean-François Raskin, Pierre-Yves Schobbens, Thomas A. Henzinger, Axioms for real-time logics, in: Proceedings of the Ninth International Conference on Concurrency Theory (CONCUR'98), Lecture Notes in Computer Science, Springer, vol. 1466, 1998, pp. 219-236.
38. Prasad Sistla A., and Clarke E.M. The complexity of propositional linear temporal logics. Journal of the ACM 32 3 (1985) 733-749
39. Prasanna Thati, Grigore Rosu, Monitoring algorithms for metric temporal logic specifications, in: Proceedings of the Fourth International Workshop on Runtime Verification (RV'04), Electronic Notes in Computer Science, vol. 113, Elsevier, 2005.
40. Denis Thérien, Thomas Wilke, Temporal logic and semidirect products: an effective characterization of the until hierarchy, in: Proceedings of the 37th Annual Symposium on Foundations of Computer Science (FOCS'96), IEEE Computer Society Press, 1996, pp. 256-263.
41. Moshe Y. Vardi, An automata-theoretic approach to linear temporal logic, in: Proceedings of the Logics for Concurrency: Structure Versus Automata, Lecture Notes in Computer Science, vol. 1043, Springer, 1996, pp. 238-266.
42. Moshe Y. Vardi, Pierre Wolper, An automata-theoretic approach to automatic program verification, in: Proceedings of the First Annual Symposium on Logic in Computer Science (LICS'86), IEEE Computer Society Press, 1986, pp. 322-344.
43. Sergio Yovine, Méthodes et outils pour la vérification symbolique de systèmes temporisés, Ph.D. Thesis, Institut National Polytechnique de Grenoble, Grenoble, France, 1993.