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\(\Delta ^0_1\) variants of the law of excluded middle and related principles

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Abstract

We systematically study the interrelations between all possible variations of \(\Delta ^0_1\) variants of the law of excluded middle and related principles in the context of intuitionistic arithmetic and analysis.

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Acknowledgements

The author thanks Hajime Ishihara, Takako Nemoto and Taishi Kurahashi for helpful discussion. This work was supported by JSPS KAKENHI Grant Numbers JP19J01239 and JP20K14354.

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Correspondence to Makoto Fujiwara.

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Fujiwara, M. \(\Delta ^0_1\) variants of the law of excluded middle and related principles. Arch. Math. Logic 61, 1113–1127 (2022). https://doi.org/10.1007/s00153-022-00827-5

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