Enumeration Classes Defined by Circuits

May 01, 2022 ยท The Ethereal ยท ๐Ÿ› International Symposium on Mathematical Foundations of Computer Science

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Nadia Creignou, Arnaud Durand, Heribert Vollmer arXiv ID 2205.00539 Category cs.CC: Computational Complexity Cross-listed cs.CL, cs.DS Citations 0 Venue International Symposium on Mathematical Foundations of Computer Science Last Checked 3 months ago
Abstract
We refine the complexity landscape for enumeration problems by introducing very low classes defined by using Boolean circuits as enumerators. We locate well-known enumeration problems, e.g., from graph theory, Gray code enumeration, and propositional satisfiability in our classes. In this way we obtain a framework to distinguish between the complexity of different problems known to be in $\mathbf{DelayP}$, for which a formal way of comparison was not possible to this day.
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