Tableau Calculi for the Logics of Finite k-Ary Trees

  • Mauro Ferrari
  • Camillo Fiorentini
  • Guido Fiorino
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2381)


We present tableau calculi for the logics Dk (k≥2) semantically characterized by the classes of Kripke models built on finite k-ary trees. Our tableau calculi use the signs T and F, some tableau rules for Intuitionistic Logic and two rules formulated in a hypertableau fashion. We prove the Soundness and Completeness Theorems for our calculi. Finally, we use them to prove the main properties of the logics Dk, in particular their constructivity and their decidability.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Mauro Ferrari
    • 1
  • Camillo Fiorentini
    • 1
  • Guido Fiorino
    • 2
  1. 1.Dipartimento di Scienze dell’InformazioneUniversitá degli Studi di MilanoMilanoItaly
  2. 2.CRIIUniversità dell’InsubriaVareseItaly

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