From Hypersets to Kripke Models in Logics of Announcements

  title={From Hypersets to Kripke Models in Logics of Announcements},
  author={Lawrence S. Moss},
This note discusses two semantics for a logic of group announcements and verifies that the two have the appropriate relation. The first semantics is the hyperset semantics of Gerbrandy [4, 5] and Gerbrandy and Groeneveld [6]. The second is the Kripke model semantics of Baltag, Moss and Solecki [2]. The relation between the two semantics was noted without proof in [2]. A proof does appear in Gerbrandy [5]. The presentation here is more algebraic in that it uses coalgebras and final coalgebra… CONTINUE READING

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