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Repairing Timed Automata Clock Guards through Abstraction and Testing

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Tests and Proofs (TAP 2019)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 11823))

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Abstract

Timed automata (TAs) are a widely used formalism to specify systems having temporal requirements. However, exactly specifying the system may be difficult, as the user may not know the exact clock constraints triggering state transitions. In this work, we assume the user already specified a TA, and (s)he wants to validate it against an oracle that can be queried for acceptance. Under the assumption that the user only wrote wrong guard transitions (i.e., the structure of the TA is correct), the search space for the correct TA can be represented by a Parametric Timed Automaton (PTA), i.e., a TA in which some constants are parametrized. The paper presents a process that (i) abstracts the initial (faulty) TA \( ta_{init} \) in a PTA \( pta \); (ii) generates some test data (i.e., timed traces) from \( pta \); (iii) assesses the correct evaluation of the traces with the oracle; (iv) uses the IMITATOR tool for synthesizing some constraints \(\varphi \) on the parameters of \( pta \); (v) instantiate from \(\varphi \) a TA \( ta_{rep} \) as final repaired model. Experiments show that the approach is successfully able to partially repair the initial design of the user.

This work is partially supported by ERATO HASUO Metamathematics for Systems Design Project (No. JPMJER1603), JST and by the ANR national research program PACS (ANR-14-CE28-0002).

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Notes

  1. 1.

    To limit the number of tests, we only keep the maximal accepted traces (i.e., we remove accepted traces included in longer accepted traces), and the minimal rejected traces (i.e., we remove rejected traces having as prefix another rejected trace).

  2. 2.

    This does not necessarily mean that both TAs have the same language, but that the tests did not exhibit any discrepancy.

  3. 3.

    This procedure transforms the word to a non-parametric TA; we nevertheless use the name \(\textsf {TW2PTA}\) for consistency with [11].

  4. 4.

    Note that it does not make sense to measure the syntactical distance, as the structure of the oracle is different.

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Authors and Affiliations

  1. Université Paris 13, LIPN, CNRS, UMR 7030, 93430, Villetaneuse, France

    Étienne André

  2. JFLI, CNRS, Tokyo, Japan

    Étienne André

  3. National Institute of Informatics, Tokyo, Japan

    Étienne André & Paolo Arcaini

  4. University of Bergamo, Bergamo, Italy

    Angelo Gargantini & Marco Radavelli

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  1. Étienne André
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  2. Paolo Arcaini
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Correspondence to Marco Radavelli .

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Editors and Affiliations

  1. Ludwig-Maximilians-Universität München, Munich, Germany

    Dirk Beyer

  2. University of Paris-Sud, Orsay, France

    Chantal Keller

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André, É., Arcaini, P., Gargantini, A., Radavelli, M. (2019). Repairing Timed Automata Clock Guards through Abstraction and Testing. In: Beyer, D., Keller, C. (eds) Tests and Proofs. TAP 2019. Lecture Notes in Computer Science(), vol 11823. Springer, Cham. https://doi.org/10.1007/978-3-030-31157-5_9

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  • DOI: https://doi.org/10.1007/978-3-030-31157-5_9

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