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International Conference on Tools and Algorithms for the Construction and Analysis of Systems

TACAS 2020: Tools and Algorithms for the Construction and Analysis of Systems pp 173–190Cite as

Multi-agent Safety Verification Using Symmetry Transformations

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 12078)

Abstract

We show that symmetry transformations and caching can enable scalable, and possibly unbounded, verification of multi-agent systems. Symmetry transformations map any solution of the system to another solution. We show that this property can be used to transform cached reachsets to compute new reachsets, for hybrid and multi-agent models. We develop a notion of a virtual system which defines symmetry transformations for a broad class of agent models that visit waypoint sequences. Using this notion of a virtual system, we present a prototype tool CacheReach that builds a cache of reachsets, in a way that is agnostic of the representation of the reachsets and the reachability analysis method used. Our experimental evaluation of CacheReach shows up to 64% savings in safety verification computation time on multi-agent systems with 3-dimensional linear and 4-dimensional nonlinear fixed-wing aircraft models following sequences of waypoints. These savings and our theoretical results illustrate the potential benefits of using symmetry-based caching in the safety verification of multi-agent systems.

The authors are supported by a research grant from The Boeing Company and a research grant from NSF (CPS 1739966). We would like to thank John L. Olson and Arthur S. Younger from The Boeing Company for valuable technical discussions.

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  1. University of Illinois, Urbana, IL, 61801, Champaign, USA

    Hussein Sibai, Navid Mokhlesi, Chuchu Fan & Sayan Mitra

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  1. Hussein Sibai
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  2. Navid Mokhlesi
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  3. Chuchu Fan
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  4. Sayan Mitra
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Correspondence to Hussein Sibai .

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Sibai, H., Mokhlesi, N., Fan, C., Mitra, S. (2020). Multi-agent Safety Verification Using Symmetry Transformations. In: Biere, A., Parker, D. (eds) Tools and Algorithms for the Construction and Analysis of Systems. TACAS 2020. Lecture Notes in Computer Science(), vol 12078. Springer, Cham. https://doi.org/10.1007/978-3-030-45190-5_10

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  • DOI: https://doi.org/10.1007/978-3-030-45190-5_10

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