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About: Resolution proof compression by splitting     Goto   Sponge   NotDistinct   Permalink

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In mathematical logic, proof compression by splitting is an algorithm that operates as a post-process on resolution proofs. It was proposed by Scott Cotton in his paper "Two Techniques for Minimizing Resolution Proof". The Splitting algorithm is based on the following observation: Given a proof of unsatisfiability and a variable , it is easy to re-arrange (split) the proof in a proof of and a proof of and the recombination of these two proofs (by an additional resolution step) may result in a proof smaller than the original.