Methods of Cut-Elimination [electronic resource] /
Baaz, Matthias.author.
Leitsch, Alexander.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
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.
Mathematical logic.
Mathematical Logic and Foundations.
Mathematical Logic and Formal Languages.