Ehrenfeucht-fraïssé games on a class of scattered linear orders

Journal of Symbolic Logic 85 (1):37-60 (2020)
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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 articles we studied n-equivalence classes of ordinals and coloured ordinals. In this article 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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