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Hanf’s Lemma
•One of several combinatoric methods for proving EF games formally
•
•Definition.  Let A be a structure.  The Gaifman graph G(A) = (A, EA) is s.t.
(a,b) 2 EA iff 9 tuple t in A containing both a and b
•
•Definition.  The r-sphere, for r > 0, is:
•                S(r,a) := {b 2 A | d(a,b) · r}