AAAI Publications, Sixteenth International Conference on Principles of Knowledge Representation and Reasoning

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Reasoning about Knowledge and Strategies under Hierarchical Information
Bastien Maubert, Aniello Murano

Last modified: 2018-09-24


Two distinct semantics have been considered for knowledge in the context of strategic reasoning, depending on whether players know each other’s strategy or not. In the former case, that we call the informed semantics, distributed synthesis for epistemic temporal specifications is undecidable, already on systems with hierarchical information. However, for the other, uninformed semantics, the problem is decidable on such systems. In this work we generalise this result by introducing an epistemic extension of Strategy Logic with imperfect information. The semantics of knowledge operators is uninformed, and captures agents that can change observation power when they change strategies. We solve the model-checking problem on a class of "hierarchical instances", which provides a solution to a vast class of strategic problems with epistemic temporal specifications, such as distributed or rational synthesis, on hierarchical systems.


Strategic reasoning; epistemic reasoning; model-checking; hierarchical information; temporal logics

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