Abstract
There is a bundled variant, BCTL*, of the branching time logic CTL* which allows reasoning about models with fairness constraints on the possible futures. However, the stronger branching logic ATL*, which is well suited to reasoning about multi-agent systems, has no bundled variant. Schedulers, humans and so on may also exhibit “fair” behaviour that only manifests in the limit, motivating a similar variant of ATL*. In this paper we (1) show how to define a non-trivial Bundled variant of ATL* (BATL*); (2) Present a 2EXPTIME tableau for BATL* (so showing BATL* is 2EXPTIME-complete); (3) prove the correctness of the tableau; and (4) provide an implementation that can decide simple formulas for BATL* and another “non-local” variant NL-BCTL* that is well suited to verifying rewrite rules for ATL*.
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McCabe-Dansted, J., Reynolds, M. (2015). A Tableau for Bundled Strategies. In: De Nivelle, H. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2015. Lecture Notes in Computer Science(), vol 9323. Springer, Cham. https://doi.org/10.1007/978-3-319-24312-2_3
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DOI: https://doi.org/10.1007/978-3-319-24312-2_3
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