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On strongly context-free languages

机译:使用无上下文的强语言

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摘要

We investigate the context-free languages whose complements are also context-free. We call them strongly context-free languages. The family of strongly linear languages is similarly defined. After examining the closure properties of the family of strongly context-free languages, we prove that any slender context-free language is strongly linear. We then show that there are languages of a bounded complexity in terms of the number of non-terminals or productions necessary to generate them, whereas the complexity of their complements is arbitrarily large. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 18]
机译:我们研究了上下文无关的语言,它们的补充语也没有上下文。我们称它们为无上下文相关的语言。类似地定义了强线性语言族。在检查了强上下文无关语言家族的闭包特性之后,我们证明了任何细长的上下文无关语言都是强线性的。然后,我们表明,就生成非终止符或生成它们所必需的非终止词或生成词的数量而言,存在某种复杂性有限的语言,而其补语的复杂度则任意大。 (C)2000 Elsevier Science B.V.保留所有权利。 [参考:18]

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