A continuity principle equivalent to the monotone $$\Pi ^{0}_{1}$$ Π 1 0 fan theorem
Author:
Funder
Istituto Nazionale di Alta Matematica “Francesco Severi”
Publisher
Springer Science and Business Media LLC
Subject
Logic,Philosophy
Link
http://link.springer.com/content/pdf/10.1007/s00153-018-0644-1.pdf
Reference15 articles.
1. Aczel, P., Rathjen, M.: Notes on constructive set theory. Tech. Rep. 40, Institut Mittag-Leffler (2000/2001)
2. Berger, J.: The fan theorem and uniform continuity. In: Cooper, S.B., Löwe, B., Torenvliet, L. (eds.) New Computational Paradigms, CiE 2005. Lecture Notes in Computer Science, vol. 3526, pp. 18–22. Springer, Berlin (2005). https://doi.org/10.1007/11494645_3
3. Berger, J.: The logical strength of the uniform continuity theorem. In: Beckmann, A., Berger, U., Löwe, B., Tucker, J.V. (eds.) Logical Approaches to Computational Barriers, CiE 2006. Lecture Notes in Computer Science, vol. 3988, pp. 35–39. Springer, Berlin (2006). https://doi.org/10.1007/11780342_4
4. Berger, J.: A separation result for varieties of Brouwer’s fan theorem. In: Proceedings of the 10th Asian Logic Conference, pp. 85–92. World Scientific Publishing (2010). https://doi.org/10.1142/9789814293020_0003
5. Berger, J., Bridges, D.: A bizarre property equivalent to the $$\Pi ^0_1$$ Π 1 0 -fan theorem. Log. J. IGPL 14(6), 867–871 (2006). https://doi.org/10.1093/jigpal/jzl026
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