Abstract | ||
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ABSTRACTWe 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. |
Year | DOI | Venue |
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2021 | 10.1145/3406325.3451080 | ACM Symposium on Theory of Computing |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Susanna F. de Rezende | 1 | 13 | 4.35 |
Mika Göös | 2 | 0 | 0.34 |
Jakob Nordström | 3 | 177 | 21.76 |
Toniann Pitassi | 4 | 0 | 0.34 |
Robert Robere | 5 | 0 | 2.03 |
Dmitry Sokolov | 6 | 7 | 7.85 |