Abstract
We study admissible rules for the extensions of the modal logics S4 and GL with the weak co-covering property and describe some explicit independent basis for the admissible rules of these logics. The resulting basis consists of an infinite sequence of rules in compact and simple form.
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Acknowledgment
The author is grateful the referee, whose comments and suggestions helped to improve the text substantially.
Funding
The work was supported by the Russian Science Foundation (Grant no. 23–21–00213).
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Translated from Sibirskii Matematicheskii Zhurnal, 2024, Vol. 65, No. 1, pp. 180–197. https://doi.org/10.33048/smzh.2024.65.114
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Rimatskiy, V.V. Admissible Inference Rules of Modal WCP-Logics. Sib Math J 65, 153–166 (2024). https://doi.org/10.1134/S0037446624010142
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DOI: https://doi.org/10.1134/S0037446624010142