A Logical Characterization of the Continuous Bar Induction

Author:

Fujiwara Makoto,Kawai Tatsuji

Publisher

Springer Singapore

Reference9 articles.

1. Akama, Yohji, Stefano Berardi, Susumu Hayashi, and Ulrich Kohlenbach. 2004. 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), 192–201.

2. Berger, Josef. 2006. The logical strength of the uniform continuity theorem. In Logical Approaches to Computational Barriers, CiE 2006, ed. Arnold Beckmann, Ulrich Berger, Benedikt Löwe, and John V. Tucker, 35–39, Lecture Notes in Computer Science Berlin: Springer.

3. Fujiwara, Makoto. 2015. Intuitionistic and uniform provability in reverse mathematics. PhD thesis, Tohoku University.

4. Fujiwara, Makoto. 2019. Bar induction and restricted classical logic. In Logic, Language, Information, and Computation, WoLLIC 2019, ed. Rosalie Iemhoff, Michael Moortgat, and Ruy de Queiroz, 236–247. Berlin, Heidelberg: Springer.

5. Howard, William A., and Georg Kreisel. 1966. Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis. Journal of Symbolic Logic 31 (3): 325–358.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3