Functorial Fast-Growing Hierarchies
We prove an isomorphism theorem between the canonical denotation systems for large natural numbers and large countable ordinal numbers, linking two fundamental concepts in Proof Theory. The first one is fast-growing hierarchies. These are sequences of functions on $\mathbb {N}$ obtained throu...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2024-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423001287/type/journal_article |