2011โ€ขInternational Journal of Computer MathematicsRequires access

๐’ซ๐’ฎ-regular languages

Shoufeng Wang, Yuqi Guo, Shao-Xian Xu

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Abstract

In this paper, we introduce a class of generalized regular languages, namely ๐’ซ๐’ฎ-regular languages, and give some characterizations of such generalized regular languages. As applications of the results, we obtain some characterizations of regular languages. Also, we consider the closure properties of the class of ๐’ซ๐’ฎ-regular languages, and the relationship among ๐’ซ๐’ฎ-regular languages, context-free languages and context-sensitive languages.

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What this paper is about

In this paper, we introduce a class of generalized regular languages, namely ๐’ซ๐’ฎ-regular languages, and give some characterizations of such generalized regular languages. As applications of the results, we obtain some characterizations of regular languages. Also, we consider the closure properties of the class of ๐’ซ๐’ฎ-regular languages, and the relationship among ๐’ซ๐’ฎ-regular languages, context-free languages and context-sensitive languages.

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Available abstract

In this paper, we introduce a class of generalized regular languages, namely ๐’ซ๐’ฎ-regular languages, and give some characterizations of such generalized regular languages. As applications of the results, we obtain some characterizations of regular languages. Also, we consider the closure properties of the class of ๐’ซ๐’ฎ-regular languages, and the relationship among ๐’ซ๐’ฎ-regular languages, context-free languages and context-sensitive languages.

Key concepts: Abstract family of languages, Regular language, Mathematics, Pumping lemma for regular languages, Closure (psychology), Cone (formal languages), Class (philosophy), Context (archaeology)

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