System Description: CutRes 0.1: Cut Elimination by Resolution
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CutRes is a system which takes as input an LK-proof with arbitrary cuts and skolemized end-sequent and gives as output an LK- proof with atomic cuts only. The elimination of cuts is performed in the following way: An unsatisfiable set of clauses C is assigned to a given LK-proof П. Any resolution refutation ψ of C then serves as a skeleton for an LK-proof Σ of the original end-sequent, containing only atomic cuts; Σ can be constructed from ψ and П by projections. Note, that a proof with atomic cuts provides the same information as a cut-free proof.
KeywordsProof Theory Sequent Calculus Resolution Proof Resolution Refutation Proof Length
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