Linear Nested Sequents, 2-Sequents and Hypersequents

  • Björn Lellmann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9323)


We introduce the framework of linear nested sequent calculi by restricting nested sequents to linear structures. We show the close connection between this framework and that of 2-sequents, and provide linear nested sequent calculi for a number of modal logics as well as for intuitionistic logic. Furthermore, we explore connections to backwards proof search for sequent calculi and to the hypersequent framework, including a reinterpretation of various hypersequent calculi for modal logic S5 in the linear nested sequent framework.


Modal Logic Classical Logic Intuitionistic Logic Proof Theory Structural Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Björn Lellmann
    • 1
  1. 1.Department of Computer LanguagesTU WienViennaAustria

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