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arXiv · 1801.00627

Ehrenfeucht-Fraisse games on a class of scattered linear orders

Feresiano Mwesigye·John K. Truss
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Abstract

Two structures $A$ and $B$ are $n$-equivalent if player II has a winning strategy in the $n$-move Ehrenfeucht-Fraïssé game on $A$ and $B$. In earlier papers we studied $n$-equivalence classes of ordinals and coloured ordinals. In this paper we similarly treat a class of scattered order-types, focussing on monomials and sums of monomials in $ω$ and its reverse $ω^*$.

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Feresiano Mwesigye, John K. Truss. 2018-01-02. Ehrenfeucht-Fraisse games on a class of scattered linear orders. https://arxiv.org/abs/1801.00627

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