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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 Tarski-Kuratowski algorithm ： ウィキペディア英語版 Tarski–Kuratowski algorithm In computability theory and mathematical logic the Tarski–Kuratowski algorithm is a non-deterministic algorithm which provides an upper bound for the complexity of formulas in the arithmetical hierarchy and analytical hierarchy. The algorithm is named after Alfred Tarski and Kazimierz Kuratowski. ==Algorithm== The Tarski–Kuratowski algorithm for the arithmetical hierarchy: # Convert the formula to prenex normal form. # If the formula is quantifier-free, it is in $\backslash Sigma^0\_0$ and $\backslash Pi^0\_0$. # Otherwise, count the number of alternations of quantifiers; call this ''k''. # If the first quantifier is ∃, the formula is in $\backslash Sigma^0\_$. # If the first quantifier is ∀, the formula is in $\backslash Pi^0\_$. 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「Tarski–Kuratowski algorithm」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.