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Springer, Berlin, Heidelberg

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10.1002/chin.199247292

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Finite Trees as Ordinals

Authors: Herman Ruge Jervell
Publish Date: 2005/6/8
Volume: , Issue: , Pages: 211-220
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Abstract

Finite trees are given a well ordering in such a way that there is a 11 correspondence between finite trees and an initial segment of the ordinals The ordinal ε 0 is the supremum of all binary trees We get the fixpoint free nary Veblen hierarchy as tree functions and the supremum of all trees is the small Veblen ordinal φΩ ω 0


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