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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 recognizable set ： ウィキペディア英語版 recognizable set In computer science, more precisely in automata theory, a recognizable set of a monoid is a subset that can be distinguished by some morphism to a finite monoid. Recognizable sets are useful in automata theory, formal languages and algebra. This notion is different from the notion of recognizable language. Indeed, the term "recognizable" has a different meaning in computability theory. ==Definition== Let $N$ be a monoid, a subset $S\backslash subseteq\; N$ is recognized by a monoid $M$ if there exists a morphism $\backslash phi$ from $N$ to $M$ such that $S=\backslash phi^(\backslash phi(S))$, and recognizable if it is recognized by some finite monoid. This means that there exists a subset $T$ of $M$ (not necessarily a submonoid of $M$) such that the image of $S$ is in $T$ and the image of $N\; \backslash setminus\; S$ is in $M\; \backslash setminus\; T$. 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「recognizable set」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.