16
Games for 9MSO
•The l,k-Fagin game on two structures A, B:
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•Spoiler selects l subsets U1, …, Ul of A
•Duplicator replies with L subsets V1, …, Vl of B •Then they play an Ehrenfeucht-Fraisse game on (A, U1, …, Ul) and (B, Vl, …, Vl)