Corpus ID: 214611706

Failure of Feasible Disjunction Property for k-DNF Resolution and NP-hardness of Automating It

@article{Garlk2020FailureOF,
  title={Failure of Feasible Disjunction Property for k-DNF Resolution and NP-hardness of Automating It},
  author={Michal Garl{\'i}k},
  journal={ArXiv},
  year={2020},
  volume={abs/2003.10230}
}
  • Michal Garlík
  • Published 2020
  • Computer Science, Mathematics
  • ArXiv
  • We show that for every integer $k \geq 2$, the Res($k$) propositional proof system does not have the weak feasible disjunction property. Next, we generalize a recent result of Atserias and M\"uller [FOCS, 2019] to Res($k$). We show that if NP is not included in P (resp. QP, SUBEXP) then for every integer $k \geq 1$, Res($k$) is not automatable in polynomial (resp. quasi-polynomial, subexponential) time. 

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    Automating Algebraic Proof Systems is NP-Hard

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