Abstract
In the paper Justification logics and hybrid logics, Melvin Fitting initiated the idea of combining justification logics and hybrid logics into a single system. However, for some technical reason, he presented a basic-hybrid justification logic \(\mathsf {JT}\) instead of \(\mathsf {J}\) with proving completeness theorem and realization theorem. The task of weakening this logic to \(\mathsf {J}\) was left as an open problem in conclusion. This paper aims at solving this problem to further facilitate the proof of the properties of this logic as well as the derivation of other members of this logic family.
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Acknowledgments
This work is supported by The National Social Science Funds of China (12BZX061, Names of Possible Worlds). We would like to express our gratitude to all those who helped us during the writing of this paper. First, we are deeply indebted to the host of the second Asian Workshop on Philosophical Logic who are very hospitable to us in Sun Yat-sen University and the anonymous referee who gave us a significant review about our paper. Second, sincere thanks should go to Melvin Fitting and Patrick Blackburn who considered this paper in the M&M 2014, and provided us with valuable advice. Last not the least, we should extent our gratitude to Dr. Haixia Man whose revising is of help and importance for the final version the the paper.
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Zhu, R., Liu, X. (2015). The Minimal System of Justification Logic with Names. In: Ju, S., Liu, H., Ono, H. (eds) Modality, Semantics and Interpretations. Logic in Asia: Studia Logica Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47197-5_11
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DOI: https://doi.org/10.1007/978-3-662-47197-5_11
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