A Schütte-Tait Style Cut-Elimination Proof for First-Order Gödel Logic

نویسندگان

  • Matthias Baaz
  • Agata Ciabattoni
چکیده

We present a Schütte-Tait style cut-elimination proof for the hypersequent calculus HIF for first-order Gödel logic. This proof allows to bound the depth of the resulting cut-free derivation by 4 |d| ρ(d), where |d| is the depth of the original derivation and ρ(d) the maximal complexity of cut-formulas in it. We compare this Schütte-Tait style cut-elimination proof to a Gentzen style proof.

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تاریخ انتشار 2002