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Author: Jose Iovino
Publisher: CRC Press
ISBN: 1315351099
Category : Mathematics
Languages : en
Pages : 382
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Book Description
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
ISBN: 1315351099
Category : Mathematics
Languages : en
Pages : 382
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Book Description
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: John T. Baldwin
Publisher: Springer
ISBN: 3540480498
Category : Mathematics
Languages : en
Pages : 512
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Book Description
Author: S. Shelah
Publisher: Elsevier
ISBN: 008088024X
Category : Computers
Languages : en
Pages : 741
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Book Description
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
Author: John T. Baldwin
Publisher: American Mathematical Soc.
ISBN: 0821848933
Category : Mathematics
Languages : en
Pages : 251
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Book Description
"Modern model theory began with Morley's categoricity theorem: A countable first-order theory that has a unique (up to isomorphism) model in one uncountable cardinal (i.e., is categorical in cardinality) if and only if the same holds in all uncountable cardinals. Over the last 35 years Shelah made great strides in extending this result to infinitary logic, where the basic tool of compactness fails. He invented the notion of an Abstract Elementary Class to give a unifying semantic account of theories in first-order, infinitary logic and with some generalized quantifiers. Zilber developed similar techniques of infinitary model theory to study complex exponentiation." "This book provides the first unified and systematic exposition of this work. The many examples stretch from pure model theory to module theory and covers of Abelian varieties. Assuming only a first course in model theory, the book expounds eventual categoricity results (for classes with amalgamation) and categoricity in excellent classes. Such crucial tools as Ehrenfeucht-Mostowski models, Galois types, tameness, omitting-types theorems, multi-dimensional amalgamation, atomic types, good sets, weak diamonds, and excellent classes are developed completely and methodically. The (occasional) reliance on extensions of basic set theory is clearly laid out. The book concludes with a set of open problems." --Book Jacket.
Author: Bradd T. Hart
Publisher: American Mathematical Soc.
ISBN: 0821883828
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Author: Alessandro Andretta
Publisher: Cambridge University Press
ISBN: 0521884241
Category : Computers
Languages : en
Pages : 221
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Book Description
A collection of surveys, tutorials, and research papers from the 2004 Logic Colloquium.
Author: Andreas Blass
Publisher: American Mathematical Soc.
ISBN: 0821834746
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.
Author: Chi-Tat Chong
Publisher: World Scientific
ISBN: 9814360538
Category : Mathematics
Languages : en
Pages : 192
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Book Description
The Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981. It is normally held every three years and rotates among countries in the Asia-Pacific region. The 11th Asian Logic Conference is held in the National University of Singapore, in honour of Professor Chong Chitat on the occasion of his 60th birthday. The conference is on the broad area of logic, including theoretical computer science. It is considered a major event in this field and is regularly sponsored by the Association of Symbolic Logic. This volume contains papers from this meeting.
Author: Åsa Hirvonen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1614516871
Category : Philosophy
Languages : en
Pages : 438
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Book Description
In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.
Author: Rüdiger Göbel
Publisher: Walter de Gruyter
ISBN: 3110203030
Category : Mathematics
Languages : en
Pages : 509
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Book Description
This is a memorial volume dedicated to A. L. S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself. A memorial volume with important contributions related to algebra.
