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.ICALP.2022.1
URN: urn:nbn:de:0030-drops-163423
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16342/
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Atserias, Albert

Towards a Theory of Algorithmic Proof Complexity (Invited Talk)

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LIPIcs-ICALP-2022-1.pdf (0.3 MB)

Abstract

A possibly unexpected by-product of the mathematical study of the lengths of proofs, as is done in the field of propositional proof complexity, is, I claim, that it may lead to new polynomial-time algorithms. To explain this, I will first recall the origins of proof complexity as a field, and then explain why some of the recent progress in it could lead to some new algorithms.

BibTeX - Entry

@InProceedings{atserias:LIPIcs.ICALP.2022.1,
  author =	{Atserias, Albert},
  title =	{{Towards a Theory of Algorithmic Proof Complexity}},
  booktitle =	{49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)},
  pages =	{1:1--1:2},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-235-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{229},
  editor =	{Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16342},
  URN =		{urn:nbn:de:0030-drops-163423},
  doi =		{10.4230/LIPIcs.ICALP.2022.1},
  annote =	{Keywords: proof complexity, logic, computational complexity}
}

Keywords: proof complexity, logic, computational complexity
Collection: 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Issue Date: 2022
Date of publication: 28.06.2022

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