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  • We formalize the construction of Paterson’s variant of the Ajtai–Komlós–Szemerédi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 (an extension of VNC1), under the assumption of the existence of suitable expander graphs. We derive a conditional p-simulation of the propositional sequent calculus in the monotone sequent calculus MLK.
  • We formalize the construction of Paterson’s variant of the Ajtai–Komlós–Szemerédi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 (an extension of VNC1), under the assumption of the existence of suitable expander graphs. We derive a conditional p-simulation of the propositional sequent calculus in the monotone sequent calculus MLK. (en)
Title
  • A sorting network in bounded arithmetic
  • A sorting network in bounded arithmetic (en)
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  • A sorting network in bounded arithmetic
  • A sorting network in bounded arithmetic (en)
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  • RIV/67985840:_____/11:00353276!RIV11-MSM-67985840
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  • P(1M0545), P(IAA1019401), Z(AV0Z10190503)
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  • 4
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  • 184164
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  • RIV/67985840:_____/11:00353276
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  • bounded arithmetic; sorting network; proof complexity; monotone sequent calculus (en)
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  • NL - Nizozemsko
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  • [C77EC7840DC4]
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  • Annals of Pure and Applied Logic
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  • 162
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  • Jeřábek, Emil
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  • 000287276800004
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  • 0168-0072
number of pages
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