Abstract
We introduce timed alternating tree automata as a natural extension of timed automata for the purpose of solving the model checking problem for timed computation tree logic (TCTL) following the automata-theoretic approach. This settles a problem posed by Henzinger, Kupferman, and Vardi.
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References
R. Alur, C. Courcoubetis, and D.L. Dill. Model-checking for real-time systems. In LICS’ 90, Philadelphia, Pennsylvania, pp. 414–425.
R. Alur, C. Courcoubetis, and D.L. Dill. Model-checking in dense real-time. Inform. and Computation, 104(1):1–34, 1993.
R. Alur and D.L. Dill. Automata for modeling real-time systems. In M.S. Paterson, ed., ICALP’ 90, Warwick, England, Springer, LNCS 443, pp. 322–335.
R. Alur and D.L. Dill. A theory of timed automata. Theoret. Comput. Sci., 126(2):183–235, 1994.
O. Bernholtz [Kupferman], M.Y. Vardi, and P. Wolper. An automata-theoretic approach to branching-time model checking. In D.L. Dill, ed., CAV’ 94, Stanford, California, Springer, LNCS 818, pp. 142–155.
M. Dickhöfer and Th. Wilke. The automata-theoretic method works for TCTL model checking. Techn. Rep. 9811, Inst. f. Informatik u. Prakt. Math., CAU Kiel, 1998. Available as http://www-i7.informatik.rwth-aachen.de/~wilke/publications/Rep9811.html.ps.gz.
E.A. Emerson, C.S. Jutla, and A.P. Sistla. On model-checking for fragments of π-calculus. In C. Courcoubetis, ed., CAV’ 93, Elounda, Greece, Springer, LNCS 697, pp. 385–396.
F. Gécseg and M. Steinby. Tree Automata. Akadémiai Kiakó, Budapest, 1984.
T.A. Henzinger, O. Kupferman, and M.Y. Vardi. A space-efficient on-the-fly algorithm for real-time model checking. In U. Montanari, V. Sassone, eds., Concur’ 96, Pisa, Italy, Springer, LNCS 1119, pp. 514–529.
W. Thomas. Languages, automata and logic. In A. Salomaa and G. Rozenberg, eds., Handbook of Formal Languages, volume 3. Springer, Berlin, 1997, pp. 389–455.
W. Thomas. Automata on infinite objects. In J.v. Leeuwen, ed., Handbook of Theoretical Computer Science, vol. B, Elsevier, Amsterdam, 1990, pp. 134–191.
M.Y. Vardi. Alternating automata and program verification. In J.v. Leeuwen, ed., Computer Science Today, Springer, 1995, LNCS 1000, pp. 471–485.
M.Y. Vardi and P. Wolper. An automata-theoretic approach to automatic program verification. In D. Kozen, ed., LICS 86, Cambridge, Mass., pp. 322–331.
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Dickhöfer, M., Wilke, T. (1999). Timed Alternating Tree Automata: The Automata-Theoretic Solution to the TCTL Model Checking Problem. In: Wiedermann, J., van Emde Boas, P., Nielsen, M. (eds) Automata, Languages and Programming. Lecture Notes in Computer Science, vol 1644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48523-6_25
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DOI: https://doi.org/10.1007/3-540-48523-6_25
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