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This paper concerns the classification of finite coloured linear orders up to n-equivalence. Ehrenfeucht–Fraïssé games are used to define what this means, and also to help analyze such structures. We give an explicit bound for the least number g(m,n) such that any finite m-coloured linear order is n-equivalent to some ordering of size ≤ g(m,n), from which it follows that g is computable. We give exact...
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