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

Author:

Fujiwara MakotoORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Logic,Philosophy

Reference13 articles.

1. Akama, Y., Berardi, S., Hayashi, S., Kohlenbach, U.: An arithmetical hierarchy of the law of excluded middle and related principles. In: Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science (LICS’04), pp. 192–301 (2004)

2. Berardi, S., Steila, S.: Ramsey theorem for pairs as a classical principle in intuitionistic arithmetic. In: Matthes, R., Schubert, A. (eds.) 19th International Conference on Types for Proofs and Programs (TYPES 2013). Leibniz International Proceedings in Informatics (LIPIcs), vol. 26, pp. 64–83. Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany (2014)

3. Diener, H.: Constructive Reverse Mathematics. Habilitationsschrift (2018)

4. Fujiwara, M., Ishihara, H., Nemoto, T.: Some principles weaker than Markov’s principle. Arch. Math. Logic 54(7–8), 861–870 (2015)

5. Fujiwara, M., Ishihara, H., Nemoto, T., Suzuki, N.-Y., Yokoyama, K.: Extended frames and separations of logical principles. https://researchmap.jp/makotofujiwara/misc/30348506 (2021) (submitted)

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1. EXTENDED FRAMES AND SEPARATIONS OF LOGICAL PRINCIPLES;The Bulletin of Symbolic Logic;2023-07-26

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