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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 Abstract family of languages ： ウィキペディア英語版 Abstract family of languages In computer science, in particular in the field of formal language theory, the term abstract family of languages refers to an abstract mathematical notion generalizing characteristics common to the regular languages, the context-free languages and the recursively enumerable languages, and other families of formal languages studied in the scientific literature. ==Formal definitions== A ''formal language'' is a set $L$ for which there exists a finite set of abstract symbols $\backslash Sigma$ such that $L\; \backslash subseteq\backslash Sigma^$ *, where * is the Kleene star operation. A ''family of languages'' is an ordered pair $(\backslash Sigma,\backslash Lambda)$, where # $\backslash Sigma$ is an infinite set of symbols; # $\backslash Lambda$ is a set of formal languages; # For each $L$ in $\backslash Lambda$ there exists a finite subset $\backslash Sigma\_1$ ⊂ $\backslash Sigma$ such that $L$ ⊆ $\backslash Sigma\_1^$ *; and # $L$ ≠ Ø for some $L$ in $\backslash Lambda$. A ''trio'' is a family of languages closed under e-free homomorphism, inverse homomorphism, and intersection with regular language. A ''full trio,'' also called a ''cone,'' is a trio closed under arbitrary homomorphism. A ''(full) semi-AFL'' is a (full) trio closed under union. A ''(full) AFL'' is a ''(full) semi-AFL'' closed under concatenation and the Kleene plus. 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「Abstract family of languages」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.