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Nested recursion

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What this work says

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

inferredcites →https://doi.org/10.1007/bf01450016openalex-snapshot
Zur Widerspruchsfreiheit der Zahlentheorie
inferredcites →https://doi.org/10.1007/bf01564760openalex-snapshot
Beweisbarkeit und Unbeweisbarkeit von Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie
inferredcites →https://doi.org/10.1017/s0305004100028255openalex-snapshot
Ordinal recursion
inferredcites →https://doi.org/10.1515/9783112573082openalex-snapshot
Rekursive Funktionen
inferredcites →https://doi.org/10.2307/2267457openalex-snapshot
On the interpretation of non-finitist proofs–Part II

What points at this work

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

inferred← citeshttps://doi.org/10.1002/malq.19770232708openalex-snapshot
Ausgezeichnete Folgen Für Prädikative Ordinalzahlen und Prädikativ‐Rekursive Funktionen
inferred← citeshttps://doi.org/10.1006/jcta.2000.3154openalex-snapshot
Long Finite Sequences
inferred← citeshttps://doi.org/10.1007/3-540-60178-3_90openalex-snapshot
The hierarchy of terminating recursive programs over N
inferred← citeshttps://doi.org/10.1007/978-3-319-63334-3_8openalex-snapshot
Unfolding Schematic Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-76799-9_6openalex-snapshot
Computability — Logical and Recursive Complexity
inferred← citeshttps://doi.org/10.1007/978-3-642-79361-5_11openalex-snapshot
The Proof Theoretic Complexity of Recursive Programs
inferred← citeshttps://doi.org/10.1007/978-94-009-8937-5_10openalex-snapshot
Constructive Sequent Reduction in Gentzen’s First Consistency Proof for Arithmetic
inferred← citeshttps://doi.org/10.1007/bf01621477openalex-snapshot
Herbrand analyses
inferred← citeshttps://doi.org/10.1007/bf01973619openalex-snapshot
A classification of the ordinal recursive functions
inferred← citeshttps://doi.org/10.1007/bf02007139openalex-snapshot
Pa-Beweisbare ∀∃-Formeln
inferred← citeshttps://doi.org/10.1007/bf02008530openalex-snapshot
Beweistheoretische Charakterisierung einer Erweiterung der Grzegorczyk-Hierarchie
inferred← citeshttps://doi.org/10.1007/bfb0028033openalex-snapshot
A simple ordinal recursive normalization of Gödel's T
inferred← citeshttps://doi.org/10.1007/bfb0090729openalex-snapshot
Computability of ordinal recursion of type level two
inferred← citeshttps://doi.org/10.1007/s00153-010-0225-4openalex-snapshot
Exact bounds on epsilon processes
inferred← citeshttps://doi.org/10.1007/s10516-021-09561-8openalex-snapshot
The Limits of Computation
inferred← citeshttps://doi.org/10.1016/0168-0072(85)90031-4openalex-snapshot
Reduction of higher type levels by means of an ordinal analysis of finite terms
inferred← citeshttps://doi.org/10.1016/0315-0860(79)90024-7openalex-snapshot
The first example of a recursive function which is not primitive recursive
inferred← citeshttps://doi.org/10.1016/0890-5401(92)90027-dopenalex-snapshot
Ordinal complexity of recursive definitions
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70773-0openalex-snapshot
Principles of Proof and Ordinals Implicit in Given Concepts
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70685-8openalex-snapshot
The Use of Ordinals in the Constructive Foundations of Mathematics
inferred← citeshttps://doi.org/10.1016/s0049-237x(99)80032-9openalex-snapshot
Classifying Recursive Functions
inferred← citeshttps://doi.org/10.1017/9781316755983.020openalex-snapshot
Remarks on finitism
inferred← citeshttps://doi.org/10.1017/jsl.2017.71openalex-snapshot
A NOTE ON PREDICATIVE ORDINAL ANALYSIS I: ITERATED COMPREHENSION AND TRANSFINITE INDUCTION
inferred← citeshttps://doi.org/10.1017/s1755020310000183openalex-snapshot
UNFOLDING FINITIST ARITHMETIC
inferred← citeshttps://doi.org/10.1080/01445340.2015.1028146openalex-snapshot
Satisfying Predicates: Kleene's Proof of the Hilbert–Bernays Theorem
inferred← citeshttps://doi.org/10.1090/s0002-9939-1969-0265156-5openalex-snapshot
Reducing Ordinal Recursion
inferred← citeshttps://doi.org/10.1090/s0002-9947-1962-0142453-3openalex-snapshot
Classifications of Recursive Functions by Means of Hierarchies
inferred← citeshttps://doi.org/10.1093/logcom/exy003openalex-snapshot
The strength of SCT soundness
inferred← citeshttps://doi.org/10.1093/oso/9780198500759.003.0036openalex-snapshot
References
inferred← citeshttps://doi.org/10.1111/j.1746-8361.2008.01136.xopenalex-snapshot
Lieber Herr Bernays! Lieber Herr Gödel! Gödel on Finitism, Constructivity, and Hilbert's Program
inferred← citeshttps://doi.org/10.1145/91556.91675openalex-snapshot
Discrete polymorphism
inferred← citeshttps://doi.org/10.2307/2270132openalex-snapshot
Functionals defined by transfinite recursion
inferred← citeshttps://doi.org/10.2307/2272731openalex-snapshot
On n-quantifier induction
inferred← citeshttps://doi.org/10.2307/2272973openalex-snapshot
Ordinal recursion, and a refinement of the extended Grzegorczyk hierarchy
inferred← citeshttps://doi.org/10.2307/2273149openalex-snapshot
On definition trees of ordinal recursive functionals: Reduction of the recursion orders by means of type level raising
inferred← citeshttps://doi.org/10.2307/2274857openalex-snapshot
Undecidable complexity statements in -arithmetic
inferred← citeshttps://doi.org/10.2307/2275884openalex-snapshot
Minimal readability of intuitionistic arithmetic and elementary analysis
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