Order-invariant cluster first-order logic has the same expressive power as first-order logic on every class of graphs with bounded degree.
In the following, we assume they chose (A,<A)– the case(B,<B)is defined analogously
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Order-invariant cluster first-order logic on graph classes of bounded degree
Order-invariant cluster first-order logic has the same expressive power as first-order logic on every class of graphs with bounded degree.