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Advances in Proof Theory

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Cover of 'Advances in Proof Theory'

Table of Contents

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    Book Overview
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    Chapter 1 A Survey on Ordinal Notations Around the Bachmann-Howard Ordinal
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    Chapter 2 About Truth and Types
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    Chapter 3 Lindenbaum’s Lemma via Open Induction
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    Chapter 4 Ordinal analysis of intuitionistic power and exponentiation Kripke Platek set theory
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    Chapter 5 Machine-Checked Proof-Theory for Propositional Modal Logics
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    Chapter 6 Intuitionistic Decision Procedures Since Gentzen
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    Chapter 7 The Operational Perspective: Three Routes
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    Chapter 8 Some Remarks on the Proof-Theory and the Semantics of Infinitary Modal Logic
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    Chapter 9 From Subsystems of Analysis to Subsystems of Set Theory
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    Chapter 10 Restricting Initial Sequents: The Trade-Offs Between Identity, Contraction and Cut
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    Chapter 11 Higman’s Lemma and Its Computational Content
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    Chapter 12 How to Reason Coinductively Informally
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    Chapter 13 Pointwise Transfinite Induction and a Miniaturized Predicativity
Attention for Chapter 6: Intuitionistic Decision Procedures Since Gentzen
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