Titlebook: Methods of Cut-Elimination; Alexander Leitsch,Matthias Baaz Book 2011 Springer Science+Business Media B.V. 2011 CERES.Goedel logic.cut-eli

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Reduction and Elimination,s the existence of a mid-sequent and the decidability of propositional intuitionistic logic. The idea of the Hauptsatz is connected to the elimination of ideal objects in mathematical proofs according to Hilbert’s program. In this sense . (with the standard axiom set) is consistent because the empty

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Cut-Elimination by Resolution,rator in the cut-formula and either eliminate it directly (grade reduction) or indirectly (rank reduction). Here it is typical that, during grade reduction, the cut formulas are “peeled” from outside. These methods are local in the sense that only a small part of the whole proof is analyzed, namely

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Extensions of CERES, a wide range of first-order cacluli. First of all . is a semantic method, in the sense that it works for all sound sequent calculi with a definable ancestor relation and a semantically complete clausal calculus. In this chapter we first show that a . method can be defined for virtually any sound se

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