Characteristic formulae for timed automata

Luca Aceto; Anna Ingólfsdóttir; Mikkel Lykke Pedersen; Jan Poulsen

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2000)

  • Volume: 34, Issue: 6, page 565-584
  • ISSN: 0988-3754

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Aceto, Luca, et al. "Characteristic formulae for timed automata." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 34.6 (2000): 565-584. <http://eudml.org/doc/92651>.

@article{Aceto2000,
author = {Aceto, Luca, Ingólfsdóttir, Anna, Pedersen, Mikkel Lykke, Poulsen, Jan},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {real-time logic; timed bisimulation equivalence},
language = {eng},
number = {6},
pages = {565-584},
publisher = {EDP-Sciences},
title = {Characteristic formulae for timed automata},
url = {http://eudml.org/doc/92651},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Aceto, Luca
AU - Ingólfsdóttir, Anna
AU - Pedersen, Mikkel Lykke
AU - Poulsen, Jan
TI - Characteristic formulae for timed automata
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2000
PB - EDP-Sciences
VL - 34
IS - 6
SP - 565
EP - 584
LA - eng
KW - real-time logic; timed bisimulation equivalence
UR - http://eudml.org/doc/92651
ER -

References

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  1. [1] L. Aceto and F. Laroussinie, Is your model checker on time? On the complexity of model checking for timed modal logics. Springer-Verlag, Berlin, Math. Foundations of Comput. Sci. 1999 (Szklarska Poreba) (1999) 125-136. Zbl0955.68079MR1731230
  2. [2] R. Alur and D. L. Dill, A theory of timed automata. Theoret. Comput. Sci. 126 (1994) 183-235. (Fundamental Study). Zbl0803.68071MR1271580
  3. [3] S. Arun-Kumar and M. Hennessy, An efficiency preorder for processes. Acta Inform. 29 (1992) 737-760. Zbl0790.68039MR1202066
  4. [4] J. Baeten and J. Klop, in Proc. CONCUR 90, Amsterdam. Springer-Verlag, Lecture Notes in Comput. Sci. 458 (1990). Zbl0746.68005MR1082153
  5. [5] B. Bloom, S. Istrail and A. R. Meyer, Bisimulation can't be traced. J. Assoc. Comput. Mach. 42 (1995) 232-268. Zbl0886.68027MR1370372
  6. [6] M. Browne, E. Clarke and O. Grümberg, Characterizing finite Kripke structures in propositional temporal logic. Theoret. Comput. Sci. 59 (1988) 115-131. Zbl0677.03011MR968903
  7. [7] E. Clarke and E. Emerson, Design and synthesis of synchronization skeletons using branching-time temporal logic, in Proc. of the Workshop on Logic of Programs, Yorktown Heights, edited by D. Kozen. Springer-Verlag, Lecture Notes in Comput. Sci. 131 (1981) 52-71. Zbl0546.68014MR663750
  8. [8] E. Clarke, O. Grümberg and D. Peled, Model Checking. MIT Press (2000). 
  9. [9] R. Cleaveland and B. Steffen, Computing behavioral relations, logically, in ICALP '91: Automata, Languages and Programming, edited by J. L. Albert, B. Monien and M.R. Artalejo. Springer-Verlag, Lecture Notes in Comput. Sci. 510 (1991) 127-138. Zbl0769.68024MR1129901
  10. [10] R. Cleaveland, A linear-time model-checking algorithm for the alternation-free modal μ-calculus. Formal Methods in Systems Design 2 (1993) 121-147. Zbl0772.68038
  11. [11] J. Engelfriet, Determinacy → (observation equivalence = trace equivalence). Theoret. Comput. Sci. 36 (1985) 21-25. Zbl0571.68018MR792638
  12. [12] R. J. V. Glabbeek, The linear time - branching time spectrum, in Baeten and Klop [4], pp. 278-297. 
  13. [13] S. Graf and J. Sifakis, A modal characterization of observational congruence on finite terms of CCS. Inform. and Control 68 (1986) 125-145. Zbl0591.68031MR840349
  14. [14] M. Hennessy and R. Milner, Algebraic laws for nondeterminism and concurrency. J. Assoc. Comput. Mach. 32 (1985) 137-161. Zbl0629.68021MR832336
  15. [15] A. Ingólfsdóttir, J. C. Godskesen and M. Zeeberg, Fra Hennessy-Milner logik til CCS-processer. Master's thesis, Department of Computer Science, Aalborg University (1987). 
  16. [16] R. Keller, Formal verification of parallel programs. Comm. ACM 19 (1976) 371-384. Zbl0329.68016MR426487
  17. [17] D. Kozen, Results on the propositional mu-calculus. Theoret. Comput. Sci. 27 (1983) 333-354. Zbl0553.03007MR731069
  18. [18] F. Laroussinie and K. G. Larsen, CMC: A tool for compositional model-checking of realtime systems, in Proc. IFIP Joint Int. Conf. Formal Description Techniques & Protocol Specification, Testing, and Verification (FORTE-PS TV'98). Kluwer Academic Publishers (1998) 439-456. 
  19. [19] F. Laroussinie, K. G. Larsen and C. Weise, From timed automata to logic - and back, in Proc. of the 20th Symposium on Mathematical Foundations of Computer Science. Springer-Verlag, Lecture Notes in Comput. Sci. 969 (1995) 529-540. Zbl1193.03069MR1467280
  20. [20] F. Laroussinie and P. Schnoebelen, The state explosion problem from trace to bisimulation equivalence, in Proc. of the 3rd International Conference on Foundations of Software Science and Computation Structures (FOSSACS'2000). Springer-Verlag, Lecture Notes in Comput. Sci. 1784 (2000) 192-207. Zbl0961.68090MR1798628
  21. [21] K. G. Larsen and A. Skou, Bisimulation through probabilistic testing. Inform. and Comput. 94 (1991) 1-28. Zbl0756.68035MR1123153
  22. [22] R. Milner, An algebraic definition of simulation between programs, in Proc. 2nd Joint Conference on Artificial Intelligence. William Kaufmann (1971) 481-489. Also available as Report No. CS-205, Computer Science Department, Stanford University. 
  23. [23] R. Milner, Communication and Concurrency. Prentice Hall, Englewood Cliffs (1989). Zbl0683.68008
  24. [24] F. Moller and C. Tofts, Relating processes with respect to speed, in CONCUR '91: 2nd International Conference on Concurrency Theory, edited by J.C.M. Baeten and J. F. Groote. Springer-Verlag, Amsterdam, The Netherlands, Lecture Notes in Comput Sci. 527 (1991) 424-438. 
  25. [25] D. Park, Concurrency and automata on infinite sequences, in 5th GI Conference, Karlsruhe, Germany, edited by P. Deussen. Springer-Verlag, Lecture Notes in Comput Sci. 104 (1981) 167-183. Zbl0457.68049
  26. [26] M. L. Pedersen and J. Poulsen, Model-checking characteristic formulae - a method for proving timed behavioural relations. Master's thesis, Department of Computer Science, Aalborg University (1999). 
  27. [27] B. Steffen and A. Ingólfsdóttir, Characteristic formulae for processes with divergence. Inform. and Comput 110 (1994) 149-163. Zbl0804.68097MR1271233
  28. [28] A. Tarski, A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math. 5 (1955) 285-309. Zbl0064.26004MR74376
  29. [29] Y. Wang, Real-time behaviour of asynchronous agents, in Baeten and Klop [4], pp. 502-520. MR1082181

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