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Methods of Cut-Elimination [electronic resource] /by Alexander Leitsch, Matthias Baaz.

by Leitsch, Alexander [author.]; Baaz, Matthias [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Trends in Logic: 34Publisher: Dordrecht : Springer Netherlands, 2011.Description: VI, 290 p. online resource.ISBN: 9789400703209.Subject(s): Mathematics | Computer science | Logic, Symbolic and mathematical | Mathematics | Mathematical Logic and Foundations | Mathematical Logic and Formal LanguagesDDC classification: 511.3 Online resources: Click here to access online
Contents:
1 Preface -- 2 Introduction -- 3 Preliminaries -- 4 Complexity of Cut-Elimination -- 5 Reduction and Elimination -- 6 Cut-Elimination by Resolution -- 7 Extensions of CERES -- 8 Applications of CERES -- 9 CERES in Nonclassical Logics -- 10 Related Research.
In: Springer eBooksSummary: This book on methods of cut-elimination contains a thorough and rigorous analysis of reductive cut-elimination methods and an in-depth presentation of the recent method CERES developed by the authors. It includes a detailed complexity analysis and comparison of CERES and of reductive methods. It presents several applications of CERES—to interpolation, fast cut-elimination, generalization of proofs and to the analysis of mathematical proofs. Finally, it provides an extension of CERES to non-classical logics, in particular to finitely-valued logics and to Gödel logic.
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1 Preface -- 2 Introduction -- 3 Preliminaries -- 4 Complexity of Cut-Elimination -- 5 Reduction and Elimination -- 6 Cut-Elimination by Resolution -- 7 Extensions of CERES -- 8 Applications of CERES -- 9 CERES in Nonclassical Logics -- 10 Related Research.

This book on methods of cut-elimination contains a thorough and rigorous analysis of reductive cut-elimination methods and an in-depth presentation of the recent method CERES developed by the authors. It includes a detailed complexity analysis and comparison of CERES and of reductive methods. It presents several applications of CERES—to interpolation, fast cut-elimination, generalization of proofs and to the analysis of mathematical proofs. Finally, it provides an extension of CERES to non-classical logics, in particular to finitely-valued logics and to Gödel logic.

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