Abstract
We study the complexity of identifying (learning) timed automata in the limit from data. In previous work, we showed that in order for timed automata to be efficiently identifiable in the limit, it is necessary that they are deterministic and that they use at most one clock. In this paper, we show this is also sufficient: we provide an algorithm that identifies one-clock deterministic timed automata efficiently in the limit.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126, 183–235 (1994)
Larsen, K.G., Petterson, P., Yi, W.: Uppaal in a nutschell. International journal on software tools for technology transfer 1(1-2), 134–152 (1997)
Gold, E.M.: Complexity of automaton identification from given data. Information and Control 37(3), 302–320 (1978)
Pitt, L., Warmuth, M.: The minimum consistent dfa problem cannot be approximated within and polynomial. In: Annual ACM Symposium on Theory of Computing, pp. 421–432. ACM, New York (1989)
Gold, E.M.: Language identification in the limit. Information and Control 10(5), 447–474 (1967)
Oncina, J., Garcia, P.: Inferring regular languages in polynomial update time. In: Pattern Recognition and Image Analysis. Series in Machine Perception and Artificial Intelligence, vol. 1, pp. 49–61. World Scientific, Singapore (1992)
de la Higuera, C.: Characteristic sets for polynomial grammatical inference. Machine Learning 27(2), 125–138 (1997)
Verwer, S., de Weerdt, M., Witteveen, C.: Polynomial distinguishability of timed automata. In: Clark, A., Coste, F., Miclet, L. (eds.) ICGI 2008. LNCS, vol. 5278, pp. 238–251. Springer, Heidelberg (2008)
Grinchtein, O., Jonsson, B., Pettersson, P.: Inference of event-recording automata using timed decision trees. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 435–449. Springer, Heidelberg (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Verwer, S., de Weerdt, M., Witteveen, C. (2009). One-Clock Deterministic Timed Automata Are Efficiently Identifiable in the Limit. In: Dediu, A.H., Ionescu, A.M., MartÃn-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2009. Lecture Notes in Computer Science, vol 5457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00982-2_63
Download citation
DOI: https://doi.org/10.1007/978-3-642-00982-2_63
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00981-5
Online ISBN: 978-3-642-00982-2
eBook Packages: Computer ScienceComputer Science (R0)