Enumeration Classes Defined by Circuits

Nadia Creignou; Arnaud Durand; Heribert Vollmer

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arXiv · 2205.00539

Enumeration Classes Defined by Circuits

Nadia Creignou·Arnaud Durand·Heribert Vollmer

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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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Nadia Creignou, Arnaud Durand, Heribert Vollmer. 2022-05-01. Enumeration Classes Defined by Circuits. https://arxiv.org/abs/2205.00539

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