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A sorting network in bounded arithmetic

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Publication:638498
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DOI10.1016/j.apal.2010.10.002zbMath1257.03087OpenAlexW2103489902MaRDI QIDQ638498

Emil Jeřábek

Publication date: 12 September 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2010.10.002


zbMATH Keywords

bounded arithmeticproof complexitysorting networkmonotone sequent calculus


Mathematics Subject Classification ID

Complexity of proofs (03F20)


Related Items

Proofs with monotone cuts ⋮ Expander Construction in VNC1 ⋮ Expander construction in \(\mathrm{VNC}^1\) ⋮ On theories of bounded arithmetic for \(\mathrm{NC}^1\) ⋮ Proof complexity of monotone branching programs



Cites Work

  • Improved sorting networks with O(log N) depth
  • On theories of bounded arithmetic for \(\mathrm{NC}^1\)
  • Sorting in \(c \log n\) parallel steps
  • The monotone circuit complexity of Boolean functions
  • On uniform circuit complexity
  • Monotone simulations of non-monotone proofs.
  • Short monotone formulae for the majority function
  • On the Number of Stable States in a NOR Network
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