Proof Complexity and SAT Solving

@inproceedings{Buss2021ProofCA,
  title={Proof Complexity and SAT Solving},
  author={Samuel R. Buss and Jakob Nordstr{\"o}m},
  booktitle={Handbook of Satisfiability},
  year={2021}
}
This chapter gives an overview of proof complexity and connections to SAT solving, focusing on proof systems such as resolution, Nullstellensatz, polynomial calculus, and cutting planes (corresponding to conflict-driven clause learning, algebraic approaches using linear algebra or Gröbner bases, and pseudo-Boolean solving, respectively). There is also a discussion of extended resolution (which is closely related to DRAT proof logging) and Frege and extended Frege systems more generally. An… 

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