Beyond First Order Model Theory Volume I PDF Download
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| Author | : Jose Iovino |
| Publisher | : CRC Press |
| Total Pages | : 427 |
| Release | : 2017-08-14 |
| Genre | : Mathematics |
| ISBN | : 1498754015 |
Download Beyond First Order Model Theory, Volume I Book in PDF, ePub and Kindle
Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.
| Author | : Jose Iovino |
| Publisher | : CRC Press |
| Total Pages | : 327 |
| Release | : 2023-07-03 |
| Genre | : Mathematics |
| ISBN | : 0429554192 |
Download Beyond First Order Model Theory, Volume II Book in PDF, ePub and Kindle
A coherent introduction to current trends in model theory Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together Suitable as a reference for advanced undergraduate, postgraduates, and researchers Material presented in the book (e.g, abstract elementary classes, first-order logics with dependent sorts, and applications of infinitary logics in set theory) is not easily accessible in the current literature The various chapters in the book can be studied independently.
| Author | : José Iovino |
| Publisher | : |
| Total Pages | : 427 |
| Release | : 2017 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : 9781315332055 |
Download Beyond First Order Model Theory Book in PDF, ePub and Kindle
| Author | : José Iovino |
| Publisher | : Chapman & Hall/CRC |
| Total Pages | : 427 |
| Release | : 2016-11-15 |
| Genre | : Mathematics |
| ISBN | : 9781315368078 |
Download Beyond First Order Model Theory Book in PDF, ePub and Kindle
The traditional logical language of model theory is first-order logic. This language was proposed in the late 19th by G. Frege, and throughout the 20th century, it remained at the center of the development of model theory. Model theory is one of the central branches of mathematical logic and the field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students (graduate and advanced undergraduate) and senior researchers alike.
| Author | : Philipp Rothmaler |
| Publisher | : CRC Press |
| Total Pages | : 324 |
| Release | : 2018-12-07 |
| Genre | : Mathematics |
| ISBN | : 0429668503 |
Download Introduction to Model Theory Book in PDF, ePub and Kindle
Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
| Author | : Wilfrid Hodges |
| Publisher | : Cambridge University Press |
| Total Pages | : 322 |
| Release | : 1997-04-10 |
| Genre | : Mathematics |
| ISBN | : 9780521587136 |
Download A Shorter Model Theory Book in PDF, ePub and Kindle
This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
| Author | : Bruno Poizat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1441986227 |
Download A Course in Model Theory Book in PDF, ePub and Kindle
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
| Author | : Roman Kossak |
| Publisher | : |
| Total Pages | : 152 |
| Release | : 2021-02-10 |
| Genre | : |
| ISBN | : 9781848903616 |
Download Model Theory for Beginners. 15 Lectures Book in PDF, ePub and Kindle
This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, categoricity, automorphisms, and saturation; all illustrated with examples that require neither advanced alegbra nor set theory. A full proof of the compactness theorem for countable languages and its applications are given, followed by a discussion of the Ehrefeucht-Mostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's model-theoretic proof of Tarski's theorem on undefinability of truth, and the proof of the Infinite Ramsey Theorem using an elementary extension of the standard model of arithmetic.
| Author | : C.C. Chang |
| Publisher | : Elsevier |
| Total Pages | : 667 |
| Release | : 1990-06-12 |
| Genre | : Computers |
| ISBN | : 008088007X |
Download Model Theory Book in PDF, ePub and Kindle
Since the second edition of this book (1977), Model Theory has changed radically, and is now concerned with fields such as classification (or stability) theory, nonstandard analysis, model-theoretic algebra, recursive model theory, abstract model theory, and model theories for a host of nonfirst order logics. Model theoretic methods have also had a major impact on set theory, recursion theory, and proof theory. This new edition has been updated to take account of these changes, while preserving its usefulness as a first textbook in model theory. Whole new sections have been added, as well as new exercises and references. A number of updates, improvements and corrections have been made to the main text.
| Author | : Shawn Hedman |
| Publisher | : OUP Oxford |
| Total Pages | : 452 |
| Release | : 2004-07-08 |
| Genre | : Mathematics |
| ISBN | : 0191586773 |
Download A First Course in Logic Book in PDF, ePub and Kindle
The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.
