The Structure of Models of Peano Arithmetic(English, Hardcover, Kossak Roman)

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The Structure of Models of Peano Arithmetic(English, Hardcover, Kossak Roman) is written by Kossak Roman and published by Oxford University Press. It's available with International Standard Book Number or ISBN identification 0198568274 (ISBN 10) and 9780198568278 (ISBN 13).

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 classical but have never been published in a book form before.