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Finite Trees as Ordinals

  • Herman Ruge Jervell
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3526)

Abstract

Finite trees are given a well ordering in such a way that there is a 1-1 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) n-ary Veblen hierarchy as tree functions and the supremum of all trees is the small Veblen ordinal φΩ ω (0).

Keywords

Binary Tree Initial Segment Tree Function Recursion Equation Fundamental Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Herman Ruge Jervell
    • 1
  1. 1.Institutt for lingvistiske og nordiske studierUniversitetet i Oslo Henrik Wergelands husOsloNorway

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