Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 1973
Category : Model theory
ISBN : 0720422000
Model Theory
Anonim
Model Theory
Model Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Model Theory book. This book definitely worth reading, it is an incredibly well-written.
A Shorter Model Theory
Wilfrid Hodges
Author : Wilfrid Hodges
Publisher : Cambridge University Press
Page : 322 pages
File Size : 49,7 Mb
Release : 1997-04-10
Category : Mathematics
ISBN : 0521587131
A Shorter Model Theory by Wilfrid Hodges Pdf
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.
A Course in Model Theory
Bruno Poizat
Author : Bruno Poizat
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781441986221
A Course in Model Theory by Bruno Poizat Pdf
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.
An Invitation to Model Theory
Jonathan Kirby
Author : Jonathan Kirby
Publisher : Cambridge University Press
Page : 197 pages
File Size : 52,8 Mb
Release : 2019-04-18
Category : Mathematics
ISBN : 9781107163881
An Invitation to Model Theory by Jonathan Kirby Pdf
An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.
Model Theory : An Introduction
David Marker
Author : David Marker
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 51,9 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387227344
Model Theory : An Introduction by David Marker Pdf
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Institution-independent Model Theory
Razvan Diaconescu
Author : Razvan Diaconescu
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 41,9 Mb
Release : 2008-08-01
Category : Mathematics
ISBN : 9783764387082
Institution-independent Model Theory by Razvan Diaconescu Pdf
This book develops model theory independently of any concrete logical system or structure, within the abstract category-theoretic framework of the so called ‘institution theory’. The development includes most of the important methods and concepts of conventional concrete model theory at the abstract institution-independent level. Consequently it is easily applicable to a rather large diverse collection of logics from the mathematical and computer science practice.
Mathematical Logic and Model Theory
Alexander Prestel,Charles N. Delzell
Author : Alexander Prestel,Charles N. Delzell
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 43,9 Mb
Release : 2011-08-21
Category : Mathematics
ISBN : 9781447121763
Mathematical Logic and Model Theory by Alexander Prestel,Charles N. Delzell Pdf
Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differ quite significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.
Elements of Finite Model Theory
Leonid Libkin
Author : Leonid Libkin
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662070031
Elements of Finite Model Theory by Leonid Libkin Pdf
Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
Model Theory and Algebraic Geometry
Elisabeth Bouscaren
Author : Elisabeth Bouscaren
Publisher : Springer
Page : 223 pages
File Size : 47,7 Mb
Release : 2009-03-14
Category : Mathematics
ISBN : 9783540685210
Model Theory and Algebraic Geometry by Elisabeth Bouscaren Pdf
This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
A Course in Model Theory
Katrin Tent,Martin Ziegler
Author : Katrin Tent,Martin Ziegler
Publisher : Cambridge University Press
Page : 259 pages
File Size : 45,8 Mb
Release : 2012-03-08
Category : Mathematics
ISBN : 9780521763240
A Course in Model Theory by Katrin Tent,Martin Ziegler Pdf
Concise introduction to current topics in model theory, including simple and stable theories.
Model Theory
Wilfrid Hodges
Author : Wilfrid Hodges
Publisher : Cambridge University Press
Page : 810 pages
File Size : 44,8 Mb
Release : 1993-03-11
Category : Mathematics
ISBN : 0521304423
Model Theory by Wilfrid Hodges Pdf
Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.
Classification Theory
S. Shelah
Author : S. Shelah
Publisher : Elsevier
Page : 740 pages
File Size : 43,7 Mb
Release : 1990-12-06
Category : Mathematics
ISBN : 008088024X
Classification Theory by S. Shelah Pdf
In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m|M|. This theorem is also the subject of Chapter XIII.
Model Theory and the Philosophy of Mathematical Practice
John T. Baldwin
Author : John T. Baldwin
Publisher : Cambridge University Press
Page : 365 pages
File Size : 40,5 Mb
Release : 2018-01-25
Category : Mathematics
ISBN : 9781107189218
Model Theory and the Philosophy of Mathematical Practice by John T. Baldwin Pdf
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Finite Model Theory and Its Applications
Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein
Author : Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 45,6 Mb
Release : 2007-06-04
Category : Computers
ISBN : 9783540688044
Finite Model Theory and Its Applications by Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein Pdf
Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.
A Guide to Classical and Modern Model Theory
Annalisa Marcja,Carlo Toffalori
Author : Annalisa Marcja,Carlo Toffalori
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 41,8 Mb
Release : 2012-09-10
Category : Philosophy
ISBN : 9789400708129
A Guide to Classical and Modern Model Theory by Annalisa Marcja,Carlo Toffalori Pdf
This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.
