Automatic verification of finite-state concurrent systems using temporal logic specifications
ACM Transactions on Programming Languages and Systems (TOPLAS)
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Alternating-time temporal logic
Journal of the ACM (JACM)
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Alternating-Time Temporal Logic
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CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Alternating-time Temporal Logic
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Unbounded Model Checking for Alternating-Time Temporal Logic
AAMAS '04 Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems - Volume 2
Coalition games and alternating temporal logics
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Fundamenta Informaticae - Multiagent Systems (FAMAS'03)
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CEEMAS'05 Proceedings of the 4th international Central and Eastern European conference on Multi-Agent Systems and Applications
What agents can achieve under incomplete information
AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
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In this paper we introduce and study the complexity of model checking alternating-time temporal logic (atp) with imperfect information, using a fine-structured complexity measure. While atp model checking with perfect information is linear in the size of the model when the number of agents is considered fixed, this is no longer true when the number of agents is considered parameters of the problem (fine structure). Combining it with results from our previous papers, we get the surprising result that checking strategic abilities of agents under both perfect and imperfect information belong to the same complexity class: both problems are $\sum^P_{2}$-complete.