Download or read book The Structure of Models of Peano Arithmetic written by Roman Kossak and published by Clarendon Press. This book was released on 2006-06-29 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.