Atomic Cut Introduction by Resolution: Proof Structuring and Compression

The original publication is available at www.springerlink.comInternational audienceThe 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