English

Enumeration Classes Defined by Circuits

Computational Complexity 2022-05-03 v1 Computation and Language Data Structures and Algorithms

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 DelayP\mathbf{DelayP}, for which a formal way of comparison was not possible to this day.

Keywords

Cite

@article{arxiv.2205.00539,
  title  = {Enumeration Classes Defined by Circuits},
  author = {Nadia Creignou and Arnaud Durand and Heribert Vollmer},
  journal= {arXiv preprint arXiv:2205.00539},
  year   = {2022}
}

Comments

20 pages, 1 figure