A Note on the Emptiness of Intersection Problem for Left Szilard Languages

E. Mäkinen
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Abstract

As left Szilard languages form a subclass of simple deterministiclanguages and even a subclass of super-deterministic languages, weknow that their equivalence problem is decidable. In this note weshow that their emptiness of intersection problem is undecidable.The proof follows the lines of the correponding proof for simpledeterministic languages, but some technical tricks are needed. Thisresult sharpens the borderline between decidable and undecidableproblems in formal language theory.
关于左西拉德语言交点空性问题的一个注记
由于左西拉德语言构成了简单确定性语言的一个子类,甚至是超确定性语言的一个子类,我们知道它们的等价问题是可决定的。本文说明了它们的交点空性问题是不可判定的。证明遵循简单确定性语言的相应证明,但需要一些技术技巧。这一结果使形式语言理论中可确定问题和不可确定问题之间的界限更加清晰。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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