论文标题

不含糊的明确线性语法互补

Non-closure under complementation for unambiguous linear grammars

论文作者

Martynova, Olga, Okhotin, Alexander

论文摘要

本文证明了在补充中的明确线性语言家族(即由明确线性无上下文的语法定义的)家族的不关闭。确切地说,提出了一种特定的明确线性语法,并证明该语言的补充不是由任何无上下文的语法定义的。这也构成了Hibbard和Ullian的结果的另一种证据(“无上下文语言之间固有的歧义性的独立性”,J.ACM,1966年)在补充中不明式的语言的不闭合。

The paper demonstrates the non-closure of the family of unambiguous linear languages (that is, those defined by unambiguous linear context-free grammars) under complementation. To be precise, a particular unambiguous linear grammar is presented, and it is proved that the complement of this language is not defined by any context-free grammar. This also constitutes an alternative proof for the result of Hibbard and Ullian ("The independence of inherent ambiguity from complementedness among context-free languages", J.ACM, 1966) on the non-closure of the unambiguous languages under complementation.

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