分段可测试树语言
Piecewise testable tree languages
摘要:
本文给出了树语言的一个可判定刻画,它可以由Sigma_1语句的布尔组合来定义。这是西蒙定理的一个树扩展,西蒙定理说,一个字符串语言可以由Sigma_1句子的布尔组合来定义,当且仅当它的语法幺半群是J-平凡的。
英文摘要:
This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Sigma_1 sentences. This is a tree extension of the Simon theorem, which says that a string language can be defined by a boolean combination of Sigma_1 sentences if and only if its syntactic monoid is J-trivial.
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