Download PDFOpen PDF in browserOn Translations of Epsilon Proofs to LK14 pages•Published: May 26, 2024AbstractIn this paper we present the proof that there is no elementary translation from cut- free derivations in the sequent calculus variant of the epsilon calculus to LK-proofs with bounded cut-complexity. This is a partial answer to a question by Toshiyasu Arai. Fur- thermore, we show that the intuitionistic format of the sequent calculus variant of the epsilon calculus is not sound for intuitionistic logic, due to the presence of all classical quantifier-shift rules.Keyphrases: epsilon calculus, hilbert s epsilon formalism, sequent calculus In: Nikolaj Bjørner, Marijn Heule and Andrei Voronkov (editors). Proceedings of 25th Conference on Logic for Programming, Artificial Intelligence and Reasoning, vol 100, pages 232-245.
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