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