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An Experimental Toolchain for Strategy Synthesis with Spatial Properties

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Leveraging Applications of Formal Methods, Verification and Validation. Adaptation and Learning (ISoLA 2022)

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Abstract

We investigate the application of strategy synthesis to enforce spatial properties. The Contract Automata Library (CATLib) performs both composition and strategy synthesis of games modelled in a dialect of finite state automata. The Voxel-based Logical Analyser (VoxLogicA) is a spatial model checker that allows the verification of properties expressed using the Spatial Logic of Closure Spaces on pixels of digital images. In this paper, we explore the integration of these two tools. We provide a basic example of strategy synthesis on automata encoding motion of agents in spaces represented by images. The strategy is synthesised with CATLib, whilst the properties to enforce are defined by means of spatial model checking of the images with VoxLogicA.

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Notes

  1. 1.

    Cf. https://simpleitk.org/.

  2. 2.

    In the VoxLogicA approach, images are seen as a special kind of graphs, where vertices are pixels, and edges represent proximity. Actually, the VoxLogicA family of tools can also operate on arbitrary directed graphs. Adapting the present work to the more general setting is left for future work.

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Acknowledgments

Research partially funded by the MIUR PRIN 2017FTXR7S project IT MaTTerS (Methods and Tools for Trustworthy Smart Systems).

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  1. Formal Methods and Tools Lab, ISTI–CNR, Pisa, Italy

    Davide Basile, Maurice H. ter Beek & Vincenzo Ciancia

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  1. Davide Basile
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  1. University of Limerick, CSIS and Lero, Limerick, Ireland

    Tiziana Margaria

  2. TU Dortmund, Dortmund, Germany

    Bernhard Steffen

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D. Basile: Conceptualization, Software, Formal Analysis, Investigation, Writing - Original Draft, Writing - Review & Editing. M.H. ter Beek: Writing - Original Draft, Writing - Review & Editing, Supervision, Funding Acquisition, Project Administration. V. Ciancia: Conceptualization, Software, Formal Analysis, Investigation, Writing - Original Draft, Writing - Review & Editing.

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Basile, D., ter Beek, M.H., Ciancia, V. (2022). An Experimental Toolchain for Strategy Synthesis with Spatial Properties. In: Margaria, T., Steffen, B. (eds) Leveraging Applications of Formal Methods, Verification and Validation. Adaptation and Learning. ISoLA 2022. Lecture Notes in Computer Science, vol 13703. Springer, Cham. https://doi.org/10.1007/978-3-031-19759-8_10

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