笨拙处理 发表于 2025-3-25 04:56:13

Set Theory, Requirements, Witnesses,This is a very brief introduction to infinite cardinals. Our main interest here is in “requirements” and in “witnesses,” which are key concepts throughout this book.

愤慨点吧 发表于 2025-3-25 09:35:51

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串通 发表于 2025-3-25 12:51:39

Priorities (A Splitting Theorem),A simple priority argument is motivated and presented.

跳动 发表于 2025-3-25 19:45:24

Reductions, Comparability (Kleene-Post Theorem),Oracle Turing machines and Turing reductions are defined and discussed.

褪色 发表于 2025-3-25 23:09:28

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MODE 发表于 2025-3-26 01:03:56

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ANN 发表于 2025-3-26 07:11:07

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UTTER 发表于 2025-3-26 09:17:20

,Length of Agreement (Sacks Splitting Theorem),Suppose that we are given a c.e.n. set ., and we wish to construct a c.e.n. set . having certain properties, including .. The length of agreement method, introduced here, is a way to do this.

上流社会 发表于 2025-3-26 14:17:02

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Limpid 发表于 2025-3-26 18:27:34

,A Tree of Guesses (Weak Thickness Lemma),The priority tree, which we call a “tree of guesses,” is introduced, and used for a construction involving infinite injury. The associated concept of “.-believability” is employed.
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查看完整版本: Titlebook: Algorithms for Constructing Computably Enumerable Sets; Kenneth J. Supowit Textbook 2023 The Editor(s) (if applicable) and The Author(s),