nerve-sparing 发表于 2025-3-28 14:39:10
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Dini’s Theorem in the Light of Reverse Mathematicsiformly continuous real-valued functions whose limit is uniformly continuous. By showing that it is equivalent to Brouwer’s fan theorem for detachable bars, we provide Dini’s theorem with a classification in the constructive reverse mathematics recently propagated by Ishihara. If the functions occurIntentional 发表于 2025-3-29 08:19:40
Relativization of Real Numbers to a Universeshow that the class R(Ϝptime) of real numbers, obtained by relativizing to the class F Ptime of polynomial time computable functions, is a proper subclass of the class R(ε) of real numbers, obtained by relativizing to the class ε of elementary functions. We show the Cauchy completeness of relativizeAqueous-Humor 发表于 2025-3-29 11:46:22
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Program Extraction in Constructive Analysis). The goal is to set up things in such a way that realistically executable programs can be extracted from proofs. This is carried out for (1) the Intermediate Value Theorem and (2) the existence of a continuous inverse to a monotonically increasing continuous function. Using the Minlog proof assistIntersect 发表于 2025-3-29 23:39:13
9楼向前变椭圆 发表于 2025-3-30 03:38:28
9楼LAP 发表于 2025-3-30 07:30:56
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