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Pure Proof Theory Aims, Methods and Results: Extended Version of Talks Given at Oberwolfach and Haifa

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/malq.19940400212openalex-snapshot
A Uniform Approach to Fundamental Sequences and Hierarchies
inferredcites →https://doi.org/10.1007/978-3-319-23627-8openalex-snapshot
Theory of Reflection
inferredcites →https://doi.org/10.1007/978-3-540-46825-7openalex-snapshot
Proof Theory: An Introduction
inferredcites →https://doi.org/10.1007/978-3-540-79890-3openalex-snapshot
K-theory: An introduction
inferredcites →https://doi.org/10.1007/978-3-642-66473-1openalex-snapshot
Proof Theory
inferredcites →https://doi.org/10.1007/978-3-662-11035-5openalex-snapshot
Admissible Sets and Structures
inferredcites →https://doi.org/10.1007/bf01275469openalex-snapshot
Collapsing functions based on recursively large ordinals: A well-ordering proof for KPM
inferredcites →https://doi.org/10.1007/bf01621474openalex-snapshot
Proof theory and ordinal analysis
inferredcites →https://doi.org/10.1007/bf01621475openalex-snapshot
Proof-theoretic analysis of KPM
inferredcites →https://doi.org/10.1007/bf01972460openalex-snapshot
Eine Grenze Für die Beweisbarkeit der Transfiniten Induktion in der Verzweigten Typenlogik
inferredcites →https://doi.org/10.1007/bf02011634openalex-snapshot
On the strength of several versions of Dirichlet's (“pigeon-hole”-)principle in the sense of first-order logic
inferredcites →https://doi.org/10.1007/bf02023014openalex-snapshot
A well-ordering proof for Feferman's theoryT 0
inferredcites →https://doi.org/10.1007/bfb0062852openalex-snapshot
A language and axioms for explicit mathematics
inferredcites →https://doi.org/10.1007/bfb0091894openalex-snapshot
Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-Theoretical Studies
inferredcites →https://doi.org/10.1016/0168-0072(94)90074-4openalex-snapshot
Proof theory of reflection
inferredcites →https://doi.org/10.1016/s0049-237x(08)x7085-5openalex-snapshot
Formal Systems and Recursive Functions
inferredcites →https://doi.org/10.1017/9781316717196openalex-snapshot
Admissible Sets and Structures
inferredcites →https://doi.org/10.2307/2269764openalex-snapshot
Systems of predicative analysis
inferredcites →https://doi.org/10.2307/2275597openalex-snapshot
How to characterize provably total functions by local predicativity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-7643-8653-5_16openalex-snapshot
Proof theory and Martin-Löf Type Theory
inferred← citeshttps://doi.org/10.1007/s001530050075openalex-snapshot
A proof of strongly uniform termination for Gödel's $T$ by methods from local predicativity
inferred← citeshttps://doi.org/10.1007/s00591-006-0012-9openalex-snapshot
Die Gödelschen Unvollständigkeitssätze
inferred← citeshttps://doi.org/10.1016/j.apal.2004.01.001openalex-snapshot
Proof theory for theories of ordinals II: Π3-reflection
inferred← citeshttps://doi.org/10.1023/a:1005006610269openalex-snapshot
Second Thoughts Around Some of Göde's Writings:
inferred← citeshttps://doi.org/10.1023/a:1020892011851openalex-snapshot
Mathematical Proof Theory in the Light of Ordinal Analysis
inferred← citeshttps://doi.org/10.1515/9783110324907.315openalex-snapshot
An Extended Predicative Definition of the Mahlo Universe
inferred← citeshttps://doi.org/10.2307/2586654openalex-snapshot
How is it that infinitary methods can be applied to finitary mathematics? Gödel's T: a case study
inferred← citeshttps://doi.org/10.2307/2586705openalex-snapshot
Ordinal diagrams for Π3-reflection
inferred← citeshttps://doi.org/10.2307/2695093openalex-snapshot
First order theories for nonmonotone inductive definitions: recursively inaccessible and Mahlo
inferred← citeshttps://doi.org/10.48550/arxiv.math/0509244openalex-snapshot
Predicativity beyond Gamma_0
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