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On Optimal Representatives of Finite Coloured Linear Orders

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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. We extend earlier results about n-equivalence classes… Click to show full 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. We extend earlier results about n-equivalence classes for finite coloured linear orders, describing an algorithm for reducing to canonical form under 2-equivalence, and concentrating on the cases of 2 and 3 moves.

Keywords: coloured linear; representatives finite; optimal representatives; finite coloured; linear orders

Journal Title: Order
Year Published: 2019

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