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A Logical Framework for Reasoning About Local and Global Properties of Collective Systems

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Quantitative Evaluation of Systems (QEST 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13479))

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Abstract

Collective adaptive systems (CAS) are composed of a large number of entities that interact with each other to reach local or global goals. Entities operate without any centralized control and should adapt their behavior to the changes in the environment where they operate. Due to the intricacies of these interactions and adaptation, it is difficult to predict the behavior of CAS. For this reason, formal tools are needed to specify and verify this behavior to ensure consistency, reliability, correctness, and safety properties. In this paper, we present a novel logical framework that permits specifying properties of CAS at both local and global levels: local properties refer to the behavior of individuals, while global properties refer to the whole system. An exact model checking algorithm, whose complexity is linear with the size of the formula and with the size of the model is also presented together with another one based on statistical model checking that permits handling systems composed by a large number of agents. Finally, a simple scenario is used to evaluate the advantages of the proposed approach.

This research has been partially supported by Italian PRIN project “IT-MaTTerS” n, 2017FTXR7S, and by POR MARCHE FESR 2014–2020, project “MIRACLE”, CUP B28I19000330007.

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Notes

  1. 1.

    We omit here the details of function Sample that should be straightforward.

  2. 2.

    https://github.com/quasylab/sibilla.

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Authors and Affiliations

  1. University of Camerino, Camerino, Italy

    Michele Loreti & Aniqa Rehman

Authors
  1. Michele Loreti
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  2. Aniqa Rehman
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Correspondence to Michele Loreti .

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Editors and Affiliations

  1. RWTH Aachen University, Aachen, Germany

    Erika Ábrahám

  2. University of Southern California, Los Angeles, CA, USA

    Marco Paolieri

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Loreti, M., Rehman, A. (2022). A Logical Framework for Reasoning About Local and Global Properties of Collective Systems. In: Ábrahám, E., Paolieri, M. (eds) Quantitative Evaluation of Systems. QEST 2022. Lecture Notes in Computer Science, vol 13479. Springer, Cham. https://doi.org/10.1007/978-3-031-16336-4_7

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  • DOI: https://doi.org/10.1007/978-3-031-16336-4_7

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  • Online ISBN: 978-3-031-16336-4

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