From Frame Properties to Hypersequent Rules in Modal Logics

@article{Lahav2013FromFP,
  title={From Frame Properties to Hypersequent Rules in Modal Logics},
  author={Ori Lahav},
  journal={2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science},
  year={2013},
  pages={408-417}
}
We provide a general method for generating cut-free and/or analytic hyper sequent Gent Zen-type calculi for a variety of normal modal logics. The method applies to all modal logics characterized by Kripke frames, transitive Kripke frames, or symmetric Kripke frames satisfying some properties, given by first-order formulas of a certain simple form. This includes the logics KT, KD, S4, S5, K4D, K4.2, K4.3, KBD, KBT, and other modal logics, for some of which no Gentzen calculi was presented before… CONTINUE READING
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