Induction Bounding Weak Combinatorial Principles And The Homogeneous Model Theorem
Download and Read Induction Bounding Weak Combinatorial Principles And The Homogeneous Model Theorem full books in PDF, ePUB, and Kindle. Read online free Induction Bounding Weak Combinatorial Principles And The Homogeneous Model Theorem ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem
Author | : Denis Roman Hirschfeldt |
Publisher | : |
Total Pages | : 101 |
Release | : 2017 |
Genre | : MATHEMATICS |
ISBN | : 9781470441418 |
Download Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem Book in PDF, Epub and Kindle
Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory T is the type spectrum of some homogeneous model of T. Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theorem (HMT), and analyzed from the points of view of computability theory and reverse mathematics. Previous computability theoretic results by Lange suggested a close connection between HMT and the Atomic Model Theorem (AMT), which states that every complete atomic theory has an atomic model. The authors sh.