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Mathematics | Methods of Cut-Elimination

Methods of Cut-Elimination

Series: Trends in Logic, Vol. 34

Baaz, Matthias, Leitsch, Alexander

2011, VI, 290 p.

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  • First book on methods of cut-elimination
  • Combines techniques and results from proof theory and automated deduction
  • Provides a completely new view on proof theoretic methods and their applications, which makes the book interesting for researchers and graduate students in proof theory and computational logic

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.

Content Level » Research

Keywords » CERES - Goedel logic - cut-elimination - proof analysis - resolution

Related subjects » Mathematics - Theoretical Computer Science

Table of 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.

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