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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク low basis theorem ： ウィキペディア英語版 low basis theorem The low basis theorem in computability theory states that every nonempty $\backslash Pi^0\_1$ class in $2^\backslash omega$ (see arithmetical hierarchy) contains a set of low degree (Soare 1987:109). It was first proved by Carl Jockusch and Robert I. Soare in 1972 (Nies 2009:57). Cenzer (1993:53) describes it as "perhaps the most cited result in the theory of $\backslash Pi^0\_1$ classes". The proof uses the method of forcing with $\backslash Pi^0\_1$ classes (Cooper 2004:330). == References == * Theorem 3.6, (p. 54 ). * . * The original publication, including additional clarifying prose. * Theorem 1.8.37. * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「low basis theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.