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A new proof-theoretic proof of the independence of Kirby-Paris' hydra theorem.

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Publication:1399971
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DOI10.1016/S0304-3975(02)00332-8zbMath1040.91022MaRDI QIDQ1399971

Lorenzo Carlucci

Publication date: 30 July 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)



Mathematics Subject Classification ID

Combinatorial games (91A46)


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Cites Work

  • Proof theory. 2nd ed
  • An independence result for \((\Pi^ 1_ 1-CA)+BI\)
  • A direct independence proof of Buchholz's Hydra Game on finite labeled trees
  • Rapidly growing Ramsey functions
  • Accessible Independence Results for Peano Arithmetic
  • A Relationship Among Gentzen's Proof-Reduction, Kirby-Paris' Hydra Game and Buchholz's Hydra Game
  • A Short Proof of Two Recently Discovered Independence Results Using Recursion Theoretic Methods
  • Unnamed Item
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