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The Structure of Models of Peano Arithmetic (Oxford Logic Guides)
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ISBN: 0198568274
Author: Kossak, Roman
Condition: New
Aimed at research logicians and mathematicians, this much-awaited monograph 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 classical but have never been published in a book form before.
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The Structure of Models of Peano Arithmetic (Oxford Logic Guides)