A survey on difference hierarchies of regular languages

A survey on difference hierarchies of regular languages

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Difference hierarchies were originally introduced by Hausdorff and they Brake Pad Assembly play an important role in descriptive set theory.In this survey paper, we study difference hierarchies of regular languages.The first sections describe standard techniques on difference hierarchies, mostly due to Hausdorff.We illustrate these techniques by giving decidability results on the difference hierarchies based on shuffle ideals, strongly cyclic 6 Piece Casual Dining regular languages and the polynomial closure of group languages.