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Deciding logics of linear Kripke frames with scattered end pieces


We show that logics based on linear Kripke frames—with or without constant domains—that have a scattered end piece are not recursively enumerable. This is done by reduction to validity in all finite classical models.

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Correspondence to Norbert Preining.

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The authors declare that they have no conflict of interest.

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Communicated by A. Di Nola, D. Mundici, C. Toffalori, A. Ursini.

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Beckmann, A., Preining, N. Deciding logics of linear Kripke frames with scattered end pieces. Soft Comput 21, 191–197 (2017).

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  • Linear Order
  • Initial Segment
  • Force Relation
  • Finite Model
  • Persistency Condition