A Sound and Complete Tableau Calculus for Reasoning about only Knowing and Knowing at Most

@article{Rosati2001ASA,
  title={A Sound and Complete Tableau Calculus for Reasoning about only Knowing and Knowing at Most},
  author={Riccardo Rosati},
  journal={Studia Logica},
  year={2001},
  volume={69},
  pages={171-191}
}
We define a tableau calculus for the logic of only knowing and knowing at most ONL, which is an extension of Levesque’s logic of only knowing OL. The method is based on the possible-world semantics of the logic ONL, and can be considered as an extension of known tableau calculi for modal logic K45. From the technical viewpoint, the main features of such an extension are the explicit representation of “unreachable” worlds in the tableau, and an additional branch closure condition implementing… CONTINUE READING

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Proof Methods for Modal and Intuitionistic Logics. Reidel

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