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arXiv · 2507.04830

A Note on Runtime Verification of Concurrent Systems

Martin Leucker
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Abstract

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative perspective on verification of concurrent systems by leveraging trace-based logics rather than sequence-based formalisms. Linear Temporal Logic over Mazurkiewicz Traces (LTrL) operates on partial-order representations of executions, meaning that once a single execution is specified, all equivalent interleavings are implicitly considered. This paper introduces a three valued version of LTrL, indicating whether the so-far observed execution of the concurrent system is one of correct, incorrect or inconclusive, together with a suitable monitor synthesis procedure. To this end, the paper recalls a construction of trace-consistent B\"uchi automata for LTrL formulas and explains how to employ it in well-understood monitor synthesis procedures. In this way, a monitor results that yields for any linearization of an observed trace the same verification verdict.

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Martin Leucker. 2025-07-07. A Note on Runtime Verification of Concurrent Systems. https://arxiv.org/abs/2507.04830

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