7
Summary on Lw1w
•Definability of FOk types
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•FOk types are the same as Lk1w types [ why ?]
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•Theorem  [Dawar, Lindell, Weinstein] The type of A  (or of (A, a)) can be expressed by some f 2  FOk
• B ² f[b] iff Tpk(A,a) = Tpk(B,b)
•Difficult result: was unknown to Kolaitis&Vardi