Simple Theories And Hyperimaginaries
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Simple Theories And Hyperimaginaries
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Author : Enrique Casanovas
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-30
Simple Theories And Hyperimaginaries written by Enrique Casanovas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Mathematics categories.
In the 1990s Kim and Pillay generalized stability, a major model theoretic idea developed by Shelah twenty-five years earlier, to the study of simple theories. This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability, and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories.
Simplicity Theory
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Author : Byunghan Kim
language : en
Publisher: Oxford Logic Guides
Release Date : 2014
Simplicity Theory written by Byunghan Kim and has been published by Oxford Logic Guides this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
An up-to-date account of the current techniques and results in Simplicity Theory, which has been a focus of research in model theory for the last decade. Suitable for logicians, mathematicians and graduate students working on model theory.
Models And Computability
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Author : S. Barry Cooper
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-17
Models And Computability written by S. Barry Cooper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-17 with Computers categories.
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
A Course On Basic Model Theory
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Author : Haimanti Sarbadhikari
language : en
Publisher: Springer
Release Date : 2017-09-05
A Course On Basic Model Theory written by Haimanti Sarbadhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Mathematics categories.
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
The Bulletin Of Symbolic Logic
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Author :
language : en
Publisher:
Release Date : 2005
The Bulletin Of Symbolic Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Electronic journals categories.
Groups And Model Theory
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Author : Olga Kharlampovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-05-10
Groups And Model Theory written by Olga Kharlampovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-10 with Mathematics categories.
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Topics In Model Theory
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Author : Anand Pillay
language : en
Publisher: World Scientific
Release Date : 2024-04-29
Topics In Model Theory written by Anand Pillay and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Mathematics categories.
This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory, treated a little differently from in the author's book Geometric Stability Theory. There is also a survey of general and geometric stability theory, as well as applications to combinatorics (stable regularity lemma) using pseudofinite methods.The second is an introduction to 'continuous logic' or 'continuous model theory,' drawing on the main texts and papers, but with an independent point of view. This chapter includes some historical background, including some other formalisms for continuous logic and a discussion of hyperimaginaries in classical first order logic.These chapters are based around notes, written by students, from a couple of advanced graduate courses in the University of Notre Dame, in Autumn 2018, and Spring 2021.
A Guide To Nip Theories
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Author : Pierre Simon
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-16
A Guide To Nip Theories written by Pierre Simon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-16 with Mathematics categories.
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Thorn Forking In Simple Theories And A Manin Mumford Theorem For T Modules
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Author : Clifton F. Ealy
language : en
Publisher:
Release Date : 2004
Thorn Forking In Simple Theories And A Manin Mumford Theorem For T Modules written by Clifton F. Ealy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
A Course In Model Theory
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Author : Katrin Tent
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-08
A Course In Model Theory written by Katrin Tent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.
Concise introduction to current topics in model theory, including simple and stable theories.