Logic Journal of the IGPL (forthcoming)
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| Abstract |
The purpose of this paper is to present a formalization of the language, semantics and axiomatization of justification logic in Coq. We present proofs in a natural deduction style derived from the axiomatic approach of justification logic. Additionally, we present possible world semantics in Coq based on Fitting models to formalize the semantic satisfaction of formulas. As an important result, with this implementation, it is possible to give a proof of soundness for $\mathsf{L}\mathsf{P}$ with respect to Fitting models.
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| DOI | 10.1093/jigpal/jzaa007 |
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References found in this work BETA
Explicit Provability and Constructive Semantics.Sergei N. Artemov - 2001 - Bulletin of Symbolic Logic 7 (1):1-36.
The Logic of Proofs, Semantically.Melvin Fitting - 2005 - Annals of Pure and Applied Logic 132 (1):1-25.
Multi-Agent Justification Logic: Communication and Evidence Elimination. [REVIEW]Bryan Renne - 2012 - Synthese 185 (S1):43-82.
Pavelka-Style Fuzzy Justification Logics.Meghdad Ghari - 2016 - Logic Journal of the IGPL 24 (5):743-773.
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