Halldén-completeness by gluing of Kripke frames

Notre Dame Journal of Formal Logic 24 (4):426-430 (1983)
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Abstract

We give in this paper a sufficient condition, cast in semantic terms, for Hallden-completeness in normal modal logics, a modal logic being said to be Hallden-complete (or Ήallden-reasonable') just in case for any disjunctive formula provable in the logic, where the disjuncts have no propositional variables in common, one or other of those disjuncts is provable in the logic

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Johan Van Benthem
University of Amsterdam

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