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Gentzen-type systems, resolution and tableaux

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Abstract

We show that both the tableaux and the resolution methods can be understood as attempts to exploit the power of cut-elimination theorems in Gentzen-type calculi. Another, related goal is to provide a purely syntactic basis for both methods (in contrast to the semantic proofs concerning resolution that can be found in the textbooks). This allows the use of a fruitful combination of the methods and might be helpful in generalizing them to other logics.

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Avron, A. Gentzen-type systems, resolution and tableaux. J Autom Reasoning 10, 265–281 (1993). https://doi.org/10.1007/BF00881838

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Key words

  • Resolution
  • tableaux
  • cut-elimination