Authors: Todorčević, Stevo 
Väänänen, Jouko
Title: Trees and ehrenfeucht-fraïssé games
Journal: Annals of Pure and Applied Logic
Volume: 100
Issue: 1-3
First page: 69
Last page: 97
Issue Date: 15-Oct-1999
Rank: M22
ISSN: 0168-0072
DOI: 10.1016/S0168-0072(98)00064-5
Abstract: 
Trees are natural generalizations of ordinals and this is especially apparent when one tries to find an uncountable analogue of the concept of the Scott-rank of a countable structure. The purpose of this paper is to introduce new methods in the study of an ordering between trees whose analogue is the usual ordering between ordinals. For example, one of the methods is the tree-analogue of the successor operation on the ordinals.
Publisher: Elsevier

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