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arXiv · 2307.10885

Robust Alternating-Time Temporal Logic

Aniello Murano·Daniel Neider·Martin Zimmermann
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Abstract

In multi-agent system design, a crucial aspect is to ensure robustness, meaning that for a coalition of agents A, small violations of adversarial assumptions only lead to small violations of A's goals. In this paper we introduce a logical framework for robust strategic reasoning about multi-agent systems. Specifically, inspired by recent works on robust temporal logics, we introduce and study rATL and rATL*, logics that extend the well-known Alternating-time Temporal Logic ATL and ATL* by means of an opportune multi-valued semantics for the strategy quantifiers and temporal operators. We study the model-checking and satisfiability problems for rATL and rATL* and show that dealing with robustness comes at no additional computational cost. Indeed, we show that these problems are PTime-complete and ExpTime-complete for rATL, respectively, while both are 2ExpTime-complete for rATL*.

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Aniello Murano, Daniel Neider, Martin Zimmermann. 2023-07-20. Robust Alternating-Time Temporal Logic. https://arxiv.org/abs/2307.10885

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