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From Display to Labelled Proofs for Tense Logics

  • Agata Ciabattoni
  • Tim LyonEmail author
  • Revantha Ramanayake
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10703)

Abstract

We introduce an effective translation from proofs in the display calculus to proofs in the labelled calculus in the context of tense logics. We identify the labelled calculus proofs in the image of this translation as those built from labelled sequents whose underlying directed graph possesses certain properties. For the basic normal tense logic \(\textsf {Kt}\), the image is shown to be the set of all proofs in the labelled calculus \(\textsf {G3Kt}\).

Keywords

Display calculus Labelled calculus Structural proof theory Tense logic Modal logic 

Notes

Acknowledgments

Work supported by the FWF projects: START Y544-N23 and I 2982.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Agata Ciabattoni
    • 1
  • Tim Lyon
    • 1
    Email author
  • Revantha Ramanayake
    • 1
  1. 1.Institut für ComputersprachenTechnische Universität WienWienAustria

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