Practical Abstractions for Model Checking Continuous-Time Multi-Agent Systems

Model checking of temporal logics in a well established technique to verify and validate properties of multi-agent systems (MAS). However, practical model checking requires input models of manageable size. In this paper, we extend the model reduction method by variable-based abstraction, proposed recently by Jamroga and Kim, to the verification of real-time systems and properties. To this end, we define a real-time extension of MAS graphs, extend the abstraction procedure, and prove its correctness for the universal fragment of Timed Computation Tree Logic (TCTL). Besides estimating the theoretical complexity gains, we present an experimental evaluation for a simplified model of the Estonian voting system and verification using the Uppaal model checker.

Publication Details

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ArXiv.org
Published
2025-03-17
Primary Topic
Formal Methods in Verification
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article

Practical Abstractions for Model Checking Continuous-Time Multi-Agent Systems

ArXiv.org
Formal Methods in Verification
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Practical Abstractions for Model Checking Continuous-Time Multi-Agent Systems

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Abstract

Model checking of temporal logics in a well established technique to verify and validate properties of multi-agent systems (MAS). However, practical model checking requires input models of manageable size. In this paper, we extend the model reduction method by variable-based abstraction, proposed recently by Jamroga and Kim, to the verification of real-time systems and properties. To this end, we define a real-time extension of MAS graphs, extend the abstraction procedure, and prove its correctness for the universal fragment of Timed Computation Tree Logic (TCTL). Besides estimating the theoretical complexity gains, we present an experimental evaluation for a simplified model of the Estonian voting system and verification using the Uppaal model checker.

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Formal Methods in Verification
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Practical Abstractions for Model Checking Continuous-Time Multi-Agent Systems · ArXiv.org (2025) | TGRS Research Map | TGRS