Realization Theorems for Justification Logics: Full Modularity

@inproceedings{Borg2015RealizationTF,
  title={Realization Theorems for Justification Logics: Full Modularity},
  author={Annemarie Borg and Roman Kuznets},
  booktitle={TABLEAUX},
  year={2015}
}
  • A. Borg, R. Kuznets
  • Published in TABLEAUX 21 September 2015
  • Philosophy, Computer Science
Justification logics were introduced by Artemov ini¾ź1995 to provide intuitionistic logic with a classical provability semantics, a problem originally posed by Godel. Justification logics are refinements of modal logics and formally connected to them by so-called realization theorems. A constructive proof of a realization theorem typically relies on a cut-free sequent-style proof system for the corresponding modal logic. A uniform realization theorem for all the modal logics of the so-called… 
4 Citations
Reduction of Modal Logic and Realization in Justification Logic
TLDR
This paper utilizes the standard cut-free sequent calculus for K to show how to recover the realizations of the modal axioms by rewriting terms in the proof, and offers a new, simple, uniform, and modular proof-theoretical proof of the realization of a wide range of modal logics with possible combinations of modals.
Labeled sequent calculus for justification logics
  • Meghdad Ghari
  • Philosophy, Computer Science
    Ann. Pure Appl. Log.
  • 2017
Modal logics Formulas of modal logic are constructed by the following grammar
Article history: Received 11 April 2015 Received in revised form 4 April 2016 Accepted 4 August 2016 Available online xxxx MSC: 03B45 03B60 03B62 03F05

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