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The Structure of Models of Peano Arithmetic - Kossak, Roman, and Schmerl, Jim
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Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal types due to Haim Gaifman, and some of the results are ...

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The Structure of Models of Peano Arithmetic 2006, Clarendon Press, Oxford, England

ISBN-13: 9780198568278

Hardcover