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omega language : ウィキペディア英語版 | omega language
An ω-language is a set of infinite-length sequences of symbols. ==Formal definition==
Let Σ be a set of symbols (not necessarily finite). Following the standard definition from formal language theory, Σ * is the set of all ''finite'' words over Σ. Every finite word has a length, which is, obviously, a natural number. Given a word ''w'' of length ''n'', ''w'' can be viewed as a function from the set → Σ, with the value at ''i'' giving the symbol at position ''i''. The infinite words, or ω-words, can likewise be viewed as functions from to Σ. The set of all infinite words over Σ is denoted Σω. The set of all finite ''and'' infinite words over Σ is sometimes written Σ∞. Thus, an ω-language ''L'' over Σ is a subset of Σω.
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「omega language」の詳細全文を読む
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