Tree-Automatic Well-Founded Trees

@article{Huschenbett2013TreeAutomaticWT,
title={Tree-Automatic Well-Founded Trees},
author={Martin Huschenbett and Alexander Kartzow and J. Liu and Markus Lohrey},
journal={Log. Methods Comput. Sci.},
year={2013},
volume={9}
}
We investigate tree-automatic well-founded trees. Using Delhomme's decomposition technique for tree-automatic structures, we show that the (ordinal) rank of a tree-automatic well-founded tree is strictly below omega^omega. Moreover, we make a step towards proving that the ranks of tree-automatic well-founded partial orders are bounded by omega^omega^omega: we prove this bound for what we call upwards linear partial orders. As an application of our result, we show that the isomorphism problem… Expand
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