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Active Learning of Timed Automata with Unobservable Resets

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Formal Modeling and Analysis of Timed Systems (FORMATS 2020)

Abstract

Active learning of timed languages is concerned with the inference of timed automata by observing some of the timed words in their languages. The learner can query for the membership of words in the language, or propose a candidate model and ask if it is equivalent to the target. The major difficulty of this framework is the inference of clock resets, which are central to the dynamics of timed automata but not directly observable.

Interesting first steps have already been made by restricting to the subclass of event-recording automata, where clock resets are tied to observations. In order to advance towards learning of general timed automata, we generalize this method to a new class, called reset-free event-recording automata, where some transitions may reset no clocks.

Central to our contribution is the notion of invalidity, and the algorithm and data structures to deal with it, allowing on-the-fly detection and pruning of reset hypotheses that contradict observations. This notion is a key to any efficient active-learning procedure for generic timed automata.

This work was partially funded by ANR project Ticktac (ANR-18-CE40-0015).

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Notes

  1. 1.

    In order to avoid overloading the explanation, we call the observation and graph partial because we do not mention some of the observations that would be necessary to have the implementation property.

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Henry, L., Jéron, T., Markey, N. (2020). Active Learning of Timed Automata with Unobservable Resets. In: Bertrand, N., Jansen, N. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2020. Lecture Notes in Computer Science(), vol 12288. Springer, Cham. https://doi.org/10.1007/978-3-030-57628-8_9

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  • DOI: https://doi.org/10.1007/978-3-030-57628-8_9

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  • Online ISBN: 978-3-030-57628-8

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