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  • De Rezende, Susanna F., et al. (author)
  • Automating algebraic proof systems is NP-hard
  • 2021
  • In: STOC 2021 - Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing. - New York, NY, USA : ACM. - 0737-8017. - 9781450380539 ; , s. 209-222
  • Conference paper (peer-reviewed)abstract
    • We show that algebraic proofs are hard to find: Given an unsatisfiable CNF formula F, it is NP-hard to find a refutation of F in the Nullstellensatz, Polynomial Calculus, or Sherali-Adams proof systems in time polynomial in the size of the shortest such refutation. Our work extends, and gives a simplified proof of, the recent breakthrough of Atserias and Müller (JACM 2020) that established an analogous result for Resolution.
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Type of publication
conference paper (1)
Type of content
peer-reviewed (1)
Author/Editor
de Rezende, Susanna ... (1)
Nordström, Jakob (1)
Pitassi, Toniann (1)
Sokolov, Dmitry (1)
Göös, Mika (1)
Robere, Robert (1)
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Khuller, Samir (1)
Williams, Virginia V ... (1)
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University
Lund University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
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