License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2022.38
URN: urn:nbn:de:0030-drops-168364
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16836/
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Creignou, Nadia ; Durand, Arnaud ; Vollmer, Heribert

Enumeration Classes Defined by Circuits

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LIPIcs-MFCS-2022-38.pdf (0.8 MB)


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, for which a formal way of comparison was not possible to this day.

BibTeX - Entry

@InProceedings{creignou_et_al:LIPIcs.MFCS.2022.38,
  author =	{Creignou, Nadia and Durand, Arnaud and Vollmer, Heribert},
  title =	{{Enumeration Classes Defined by Circuits}},
  booktitle =	{47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)},
  pages =	{38:1--38:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-256-3},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{241},
  editor =	{Szeider, Stefan and Ganian, Robert and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16836},
  URN =		{urn:nbn:de:0030-drops-168364},
  doi =		{10.4230/LIPIcs.MFCS.2022.38},
  annote =	{Keywords: Computational complexity, enumeration problem, Boolean circuit}
}

Keywords: Computational complexity, enumeration problem, Boolean circuit
Collection: 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)
Issue Date: 2022
Date of publication: 22.08.2022


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