Strategy Logic (SL) is a very expressive temporal logic for specifying and verifying properties of multi-agent systems: in SL, one can quantify over strategies, assign them to agents, and express LTL properties of the resulting plays. Such a powerful framework has two drawbacks: first, model checking SL has non-elementary complexity; second, the exact semantics of SL is rather intricate, and may not correspond to what is expected. In this paper, we focus on strategy dependences in SL, by tracking how existentially-quantified strategies in a formula may (or may not) depend on other strategies selected in the formula, revisiting the approach of [Mogavero et al., Reasoning about strategies: On the model-checking problem, 2014]. We explain why elementary dependences, as defined by Mogavero et al., do not exactly capture the intended concept of behavioral strategies. We address this discrepancy by introducing timeline dependences, and exhibit a large fragment of SL for which model checking can be performed in 2-EXPTIME under this new semantics.

中文翻译：

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策略逻辑的依存关系

策略逻辑（SL）是一种非常具有表现力的时间逻辑，用于指定和验证多主体系统的属性：在SL中，人们可以量化各种策略，将其分配给主体，并表达结果戏剧的LTL属性。这种强大的框架有两个缺点：首先，模型检查SL具有非基本的复杂性；其次，SL的确切语义相当复杂，可能与预期不符。在本文中，我们侧重于战略相关性的SL，通过跟踪公式中存在的量化策略如何（或可能不）依赖于公式中选择的其他策略，重新审视了[Mogavero等人，《策略推理：关于模型检查问题》，2014年]的方法。我们解释了为什么Mogavero等人定义的基本依赖关系不能准确地捕获行为策略的预期概念。我们通过引入时间轴依赖性来解决此差异，并展示了SL的较大片段，可以在这种新语义下的2- EXPTIME中执行模型检查。