The Parametric Ordinal-Recursive Complexity of Post Embedding Problems

Prateek Karandikar, Sylvain Schmitz · 2012

Post Embedding Problems are a family of decision problems based on the interaction of a rational relation with the subword embedding or-dering, and are used in the literature to prove non multiply-recursive complexity lower bounds. We refine the construction of Chambart and Schnoebelen (LICS 2008) and prove parametric lower bounds depending on the size of the alphabet. 1

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