Optimal Tableau Method for Constructive Satisfiability Testing and Model Synthesis in the Alternating-Time Temporal Logic ATL+

Abstract : We develop a sound, complete, and practically implementable tableau-based decision method for constructive satisfiability testing and model synthesis for the fragment ATL+ of the full alternating-time temporal logic ALT*. The method extends in an essential way a previously developed tableau-based decision method for ATL and works in 2EXPTIME, which is the optimal worst-case complexity of the satisfiability problem for ATL+. We also discuss how suitable parameterizations and syntactic restrictions on the class of input ATL+ formulas can reduce the complexity of the satisfiability problem.
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Submitted on : Sunday, January 24, 2016 - 9:04:02 PM
Last modification on : Monday, October 28, 2019 - 10:50:21 AM

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Serenella Cerrito, Amélie David, Valentin Goranko. Optimal Tableau Method for Constructive Satisfiability Testing and Model Synthesis in the Alternating-Time Temporal Logic ATL+. ACM Transactions on Computational Logic, Association for Computing Machinery, 2015, 17 (1), pp.Article number 4. ⟨10.1145/2811261⟩. ⟨hal-01261206⟩

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