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An extension of the equivalence between Brouwer's fan theorem and weak König's lemma with a uniqueness hypothesis

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Publication:2104258
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DOI10.1007/978-3-031-08740-0_10OpenAlexW4285252777MaRDI QIDQ2104258

Makoto Fujiwara

Publication date: 7 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-08740-0_10


zbMATH Keywords

weak König's lemmaconstructive reverse mathematicsbounded König's lemmathe decidable fan theoremuniqueness hypothesis


Mathematics Subject Classification ID

Theory of computing (68Qxx)




Cites Work

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  • Weak König's lemma implies Brouwer's fan theorem: a direct proof
  • Constructivism in mathematics. An introduction. Volume II
  • The binary expansion and the intermediate value theorem in constructive reverse mathematics
  • Metamathematical investigation of intuitionistic arithmetic and analysis. With contributions by C. A. Smorynski, J. I. Zucker and W. A. Howard
  • Intuitionistic Provability versus Uniform Provability in $$\mathsf{RCA}$$
  • Brouwer's fan theorem and unique existence in constructive analysis
  • König's lemma, weak König's lemma, and the decidable fan theorem


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