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Countable Ordinals
| Title: | Countable Ordinals |
| Author: | Brian Huffman |
| Submission date: | 2005-11-11 |
| Abstract: | This development defines a well-ordered type of countable ordinals. It includes notions of continuous and normal functions, recursively defined functions over ordinals, least fixed-points, and derivatives. Much of ordinal arithmetic is formalized, including exponentials and logarithms. The development concludes with formalizations of Cantor Normal Form and Veblen hierarchies over normal functions. |
| BibTeX: |
@article{Ordinal-AFP,
author = {Brian Huffman},
title = {Countable Ordinals},
journal = {Archive of Formal Proofs},
month = nov,
year = 2005,
note = {\url{http://isa-afp.org/entries/Ordinal.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Used by: | Nested_Multisets_Ordinals |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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