Decidability for Justification Logics Revisited

  • Samuel Bucheli
  • Roman Kuznets
  • Thomas Studer
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7758)

Abstract

Justification logics are propositional modal-like logics that instead of statements A is known include statements of the form A is known for reason t where the term t can represent an informal justification for A or a formal proof of A. In our present work, we introduce model-theoretic tools, namely: filtrations and a certain form of generated submodels, in the context of justification logic in order to obtain decidability results. Apart from reproving already known results in a uniform way, we also prove new results. In particular, we use our submodel construction to establish decidability for a justification logic with common knowledge for which so far no decidability proof was available.

Keywords

Justification logic decidability filtration 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Samuel Bucheli
    • 1
  • Roman Kuznets
    • 1
  • Thomas Studer
    • 1
  1. 1.Institut für Informatik und angewandte MathematikUniversität BernSwitzerland

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