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arXiv · 2511.10649

Towards Assume-Guarantee Verification of Abilities in Stochastic Multi-Agent Systems

Wojciech Jamroga·Damian Kurpiewski·Łukasz Mikulski
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Abstract

Model checking of strategic abilities is a notoriously hard problem, even more so in the realistic case of agents with imperfect information, acting in a stochastic environment. Assume-guarantee reasoning can be of great help here, providing a way to decompose the complex problem into a small set of easier subproblems. In this paper, we propose several schemes for assume-guarantee verification of probabilistic alternating-time temporal logic with imperfect information. We prove the soundness of the schemes, and discuss their completeness. On the way, we also propose a new variant of (non-probabilistic) alternating-time logic, where the strategic modalities capture "achieving at most $\varphi$," analogous to Levesque's logic of "only knowing."

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Wojciech Jamroga, Damian Kurpiewski, Łukasz Mikulski. 2025-10-28. Towards Assume-Guarantee Verification of Abilities in Stochastic Multi-Agent Systems. https://arxiv.org/abs/2511.10649

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