Abstract
Two of the most celebrated results that effectively exploit visual representation to give logical characterization and decidable model-checking include visibly pushdown automata (VPA) by Alur and Madhusudan and event-clock automata (ECA) by Alur, Fix and Henzinger. VPA and ECA—by making the call-return edges visible and by making the clock-reset operation visible, respectively—recover decidability for the verification problem for pushdown automata implementation against visibly pushdown automata specification and timed automata implementation against event-clock timed automata specification, respectively. In this work we combine and extend these two works to introduce dense-time visibly pushdown automata that make both the call-return as well as resets visible. We present MSO logic characterization of these automata and prove the decidability of the emptiness problem for these automata paving way for verification problem for dense-timed pushdown automata against dense-timed visibly pushdown automata specification.
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References
Abdulla, P., Atig, M., Stenman, J.: Dense-timed pushdown automata. In: LICS, pp. 35–44 (2012)
Alur, R., Dill, D.: A theory of timed automata. Theor. Comput. Sci. 126, 183–235 (1994)
Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: a determinizable class of timed automata. TCS 211(1–2), 253–273 (1999)
Alur, R., Madhusudan, P.: Visibly pushdown languages. In: Symposium on Theory of Computing, pp. 202–211 (2004)
Bhave, D., Dave, V., Krishna, S.N., Phawade, R., Trivedi, A.: A logical characterization for dense-time visibly pushdown automata. Technical report, IIT Bombay (2015). http://www.cse.iitb.ac.in/internal/techreports/reports/TR-CSE-2015-77.pdf
Clemente, L., Lasota, S.: Timed pushdown automata revisited. In: LICS, pp. 738–749 (2015)
D’Souza, D.: A logical characterisation of event clock automata. Int. J. Found. Comput. Sci. 14(4), 625–640 (2003). http://dx.doi.org/10.1142/S0129054103001923
Lautemann, C., Schwentick, T., Thérien, D.: Logics for context-free languages. In: Pacholski, L., Tiuryn, J. (eds.) Computer Science Logic. LNCS, vol. 933, pp. 205–216. Springer, Heidelberg (1995)
Trivedi, A., Wojtczak, D.: Recursive timed automata. In: Bouajjani, A., Chin, W.-N. (eds.) ATVA 2010. LNCS, vol. 6252, pp. 306–324. Springer, Heidelberg (2010)
Van Tang, N., Ogawa, M.: Event-clock visibly pushdown automata. In: Nielsen, M., Kučera, A., Miltersen, P.B., Palamidessi, C., Tůma, P., Valencia, F. (eds.) SOFSEM 2009. LNCS, vol. 5404, pp. 558–569. Springer, Heidelberg (2009)
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Bhave, D., Dave, V., Krishna, S.N., Phawade, R., Trivedi, A. (2016). A Logical Characterization for Dense-Time Visibly Pushdown Automata. In: Dediu, AH., Janoušek, J., Martín-Vide, C., Truthe, B. (eds) Language and Automata Theory and Applications. LATA 2016. Lecture Notes in Computer Science(), vol 9618. Springer, Cham. https://doi.org/10.1007/978-3-319-30000-9_7
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DOI: https://doi.org/10.1007/978-3-319-30000-9_7
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