The paper exposits the supersimplicity of (Z, +) expanded by a generic predicate, the square-free predicate, and the prime predicate (assuming Dickson's conjecture).
Shelah, Classification Theory and the number of non-isomorphic models, Studies in Logic and the Foundations of Mathematics 92 , (1990), Amsterdam: North-Holland
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An exposition on the supersimplicity of certain expansions of the additive group of the integers
The paper exposits the supersimplicity of (Z, +) expanded by a generic predicate, the square-free predicate, and the prime predicate (assuming Dickson's conjecture).