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A Multiset Rewriting Model for Specifying and Verifying Timing Aspects of Security Protocols

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Foundations of Security, Protocols, and Equational Reasoning

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11565))

Abstract

Catherine Meadows has played an important role in the advancement of formal methods for protocol security verification. Her insights on the use of, for example, narrowing and rewriting logic has made possible the automated discovery of new attacks and the shaping of new protocols. Meadows has also investigated other security aspects, such as, distance-bounding protocols and denial of service attacks. We have been greatly inspired by her work. This paper describes the use of Multiset Rewriting for the specification and verification of timing aspects of protocols, such as network delays, timeouts, timed intruder models and distance-bounding properties. We detail these timed features with a number of examples and describe decidable fragments of related verification problems.

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Notes

  1. 1.

    Indeed, it was Cathy that suggested us to investigate DB protocols.

  2. 2.

    For simplicity, we ammended only the initiator role, Alice, with a timeout. Since Lowe attack is an attack against both Alice and Bob, the protocol could similary be enhanced with another timeout in the reponder role that would additionally enable Bob to detect that something is wrong.

  3. 3.

    Substitution application (\(\mathcal {S}\theta \)) is defined as usual [11], i.e., by mapping time variables in \(\mathcal {S}\) to non-negative real numbers, nonce names to nonce names (renaming of nonces) and term variables to terms.

  4. 4.

    Instead of such fixed connections of agents to particular channels it is possible to represent agents establishing or dropping connections by additional rules in the model.

  5. 5.

    In our generalization of protocol theories we might omit the condition \(i \le j\) that was the condition in [10] forcing that protocols proceed in execution.

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Acknowledgments

We thank Cathy for her inspiring work, insightful and motivating discussions and for her friendship. Part of this work was done during the visits to the University of Pennsylvania by Alturki, Ban Kirigin, Kanovich, Nigam, and Talcott, which were partially supported by ONR and by the University of Pennsylvania. Ban Kirigin is supported in part by the Croatian Science Foundation under the project UIP-05-2017-9219. Scedrov is partially supported by ONR. Talcott is partly supported by ONR grant N00014-15-1-2202 and NRL grant N0017317-1-G002. Nigam is partially supported by NRL grant N0017317-1-G002, and CNPq grant 303909/2018-8.

Author information

Authors and Affiliations

  1. KFUPM, Dhahran, Saudi Arabia

    Musab A. Alturki

  2. Runtime Verification Inc., Urbana, USA

    Musab A. Alturki

  3. Department of Mathematics, University of Rijeka, Rijeka, Croatia

    Tajana Ban Kirigin

  4. University College, London, London, UK

    Max Kanovich

  5. Federal University of Paraíba, João Pessoa, Brazil

    Vivek Nigam

  6. fortiss, Munich, Germany

    Vivek Nigam

  7. University of Pennsylvania, Philadelphia, USA

    Andre Scedrov

  8. National Research University Higher School of Economics, Moscow, Russia

    Max Kanovich & Andre Scedrov

  9. SRI International, Menlo Park, USA

    Carolyn Talcott

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  1. Musab A. Alturki
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Corresponding author

Correspondence to Carolyn Talcott .

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Editors and Affiliations

  1. Worcester Polytechnic Institute, Worcester, MA, USA

    Joshua D. Guttman

  2. George Washington University, Washington, DC, USA

    Carl E. Landwehr

  3. University of Illinois, Urbana, IL, USA

    José Meseguer

  4. University of Hawai'i, Honolulu, HI, USA

    Dusko Pavlovic

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Alturki, M.A., Ban Kirigin, T., Kanovich, M., Nigam, V., Scedrov, A., Talcott, C. (2019). A Multiset Rewriting Model for Specifying and Verifying Timing Aspects of Security Protocols. In: Guttman, J., Landwehr, C., Meseguer, J., Pavlovic, D. (eds) Foundations of Security, Protocols, and Equational Reasoning. Lecture Notes in Computer Science(), vol 11565. Springer, Cham. https://doi.org/10.1007/978-3-030-19052-1_13

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  • DOI: https://doi.org/10.1007/978-3-030-19052-1_13

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