We define cut-free display calculi for knowledge logics wherean indiscernibility relation is associated to each set of agents, andwhere agents decide the membership of objects using thisindiscernibility relation. To do so, we first translate the knowledgelogics into polymodal logics axiomatised by primitive axioms and thenuse Kracht's results on properly displayable logics to define thedisplay calculi. Apart from these technical results, we argue thatDisplay Logic is a natural framework to define cut-free calculi for manyother logics with relative accessibility relations.
Keywords display logic  knowledge logic
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Reprint years 2004
DOI 10.1023/A:1008341521750
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Display Logic.Nuel D. Belnap - 1982 - Journal of Philosophical Logic 11 (4):375-417.
Labelled Deductive Systems: Volume 1.Dov M. Gabbay - 1996 - Oxford, England: Oxford University Press.
Displaying Modal Logic.Heinrich Wansing - 1998 - Dordrecht, Netherland: Springer.
Displaying Modal Logic.Heinrich Wansing - 2000 - Studia Logica 66 (3):421-426.

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