Proof Complexity Meets Algebra

@article{Atserias2017ProofCM,
  title={Proof Complexity Meets Algebra},
  author={Albert Atserias and Joanna Ochremiak},
  journal={ArXiv},
  year={2017},
  volume={abs/1711.07320}
}
We analyse how the standard reductions between constraint satisfaction problems affect their proof complexity. We show that, for the most studied propositional, algebraic, and semi-algebraic proof systems, the classical constructions of pp-interpretability, homomorphic equivalence and addition of constants to a core preserve the proof complexity of the CSP. As a result, for those proof systems, the classes of constraint languages for which small unsatisfiability certificates exist can be… Expand
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Proof Complexity Meets Algebra
TLDR
It is shown that, for the most studied propositional, algebraic, and semialgebraic proof systems, the classical constructions of pp-interpretability, homomorphic equivalence, and addition of constants to a core preserve the proof complexity of the CSP. Expand
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