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hal-00545473, version 1

Atomic Cut Introduction by Resolution: Proof Structuring and Compression

Bruno Woltzenlogel Paleo (Author to contact preferably) 1

Logic for Programming, Artificial Intelligence, and Reasoning 6355 (2010) 463-480

Abstract: The careful introduction of cut inferences can be used to structure and possibly compress formal sequent calculus proofs. This pa- per presents CIRes, an algorithm for the introduction of atomic cuts based on various modifications and improvements of the CERes method, which was originally devised for efficient cut-elimination. It is also demonstrated that CIRes is capable of compressing proofs, and the amount of compres- sion is shown to be exponential in the length of proofs.

  • 1:  VERIDIS (INRIA Nancy - Grand Est / LORIA)
  • Université de Lorraine – CNRS : UMR7503 – INRIA
  • Domain : Mathematics/Logic
  • Keywords : Sequent Calculus – Proof Theory – Cut-Introduction
  • Comment : The original publication is available at www.springerlink.com
 
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  • Submitted on: Saturday, 11 December 2010 12:55:31
  • Updated on: Monday, 13 December 2010 10:12:16