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Towards a Theory of Algorithmic Proof Complexity (Invited Talk)

Author Albert Atserias

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Author Details

Albert Atserias
  • Universitat Politècnica de Catalunya, Centre de Recerca Matemàtica, Barcelona, Spain

Funding

  • Atserias, Albert: Partially funded by Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) and Ministerio de Ciencia e Innovación (MICIN) through project PID2019- 109137GB-C22 (PROOFS).

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Albert Atserias. Towards a Theory of Algorithmic Proof Complexity (Invited Talk). In 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 229, pp. 1:1-1:2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ICALP.2022.1

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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Proof complexity
Keywords
  • proof complexity
  • logic
  • computational complexity

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References

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