Abstract. Intuitionistic set theory without choice axioms does not prove that every Cauchy sequence of rationals has a modulus of convergence, or that the set ...
Oct 2, 2015 · It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences of rationals) ...
Jul 26, 2007 · It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy ...
Oct 2, 2015 · A Cauchy real is understood as an equivalence class of Cauchy sequences of rationals. When working with a Cauchy sequence, one usually needs to ...
Abstract. It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences ...
PDF | It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences.
The main purpose here is to show that exponentiation alone does not suffice for the collection of Cauchy reals, by furnishing a Kripke model of constructive ...
On the Cauchy Completeness of the Constructive Cauchy Reals. Robert S. Lubarsky. 2007 Electronical Notes in Theoretical Computer Science. Preserved Fulltext.
Jan 1, 2007 · Abstract. Intuitionistic set theory without choice axioms does not prove that every Cauchy sequence of rationals has a modulus of convergence, ...
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Jul 10, 2024 · A Cauchy real number is a real number that is given as the limit of a Cauchy sequence of rational numbers. One may use this idea as a definition ...