Proof Search in Nested Sequent Calculi

  • Björn Lellmann
  • Elaine Pimentel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9450)


We propose a notion of focusing for nested sequent calculi for modal logics which brings down the complexity of proof search to that of the corresponding sequent calculi. The resulting systems are amenable to specifications in linear logic. Examples include modal logic \(\mathsf {K}\), a simply dependent bimodal logic and the standard non-normal modal logics. As byproduct we obtain the first nested sequent calculi for the considered non-normal modal logics.


Modal Logic Inference Rule Modal Rule Linear Logic Sequent Calculus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Institute of Computer LanguagesTU WienViennaAustria
  2. 2.Departamento de MatemáticaUFRNNatalBrazil

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