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Ackermannian Goodstein Sequences of Intermediate Growth

The original Goodstein process proceeds by writing natural numbers in nested exponential k-normal form, then successively raising the base to [Formula: see text] and subtracting one from the end result. Such sequences always reach zero, but this fact is unprovable in Peano arithmetic. In this paper...

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Detalles Bibliográficos
Autores principales: Fernández-Duque, David, Weiermann, Andreas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7309503/
http://dx.doi.org/10.1007/978-3-030-51466-2_14