This is the homepage of the paper Wellfounded Induction on the Ordinals up to Epsilon-0, authored by Matt Kaufmann, and Konrad Slind. The paper appeared at TPHOLs 2007.
Here is a PDF version of the paper. Here's the bibtex reference:
@InProceedings{e0:tphols07,
author = {M. Kaufmann and K. Slind},
title = {Proof Pearl: Wellfounded induction on the ordinals up to $\varepsilon_0$},
booktitle = {Theorem Proving in Higher Order Logics (TPHOLs 2007)},
month = {September},
year = 2007,
editor = {K. Schneider},
series = {Lecture Notes in Computer Science},
volume = {???},
publisher = {Springer Verlag}
}
The proof discussed in the paper is released with the HOL-4 implementation of higher order logic. The sources can be accessed in the (examples/acl2/ml) directory of the distribution.