Model Theory For Beginners 15 Lectures
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Author | : Roman Kossak |
Publisher | : |
Total Pages | : 152 |
Release | : 2021-02-10 |
Genre | : |
ISBN | : 9781848903616 |
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 | : Franziska Jahnke |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : 9783037196847 |
Author | : Charles Baker |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 414 |
Release | : 2017-07-18 |
Genre | : |
ISBN | : 9781981845309 |
This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant area of mathematical logic. Many worked examples and exercises make the book a useful resource for graduate students as well as researchers.This is a concise and elegant introduction to modern model theory.
Author | : Katrin Tent |
Publisher | : Cambridge University Press |
Total Pages | : 259 |
Release | : 2012-03-08 |
Genre | : Mathematics |
ISBN | : 052176324X |
Concise introduction to current topics in model theory, including simple and stable theories.
Author | : Katrin Tent |
Publisher | : |
Total Pages | : 248 |
Release | : 2012 |
Genre | : Model theory |
ISBN | : 9781107224759 |
This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.
Author | : Bradd T. Hart |
Publisher | : American Mathematical Soc. |
Total Pages | : 121 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827057 |
This thin volume contains three sets of lecture notes, representing recent developments in differential scales, o-minimality, and tame convergence theory. The first lecture outlines the basics of differential fields, and then addresses topics like differential varieties and tangent bundles, Kolchin's logarithmic derivative, and Manin's construction. The second describes added exponentation, T-convexity and tame extensions, piecewise linearity, the Wilkie inequality, and the valuation property. And the third considers the structure and varieties of finite algebra. No index. c. Book News Inc.
Author | : Wolfgang Reisig |
Publisher | : Springer Science & Business Media |
Total Pages | : 714 |
Release | : 1998-11-04 |
Genre | : Computers |
ISBN | : 9783540653066 |
The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets II: Applications" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.
Author | : F.W. Lawvere |
Publisher | : Springer |
Total Pages | : 352 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540374957 |
A Collection of Lectures by Variuos Authors
Author | : P. Mangani |
Publisher | : Springer Science & Business Media |
Total Pages | : 151 |
Release | : 2011-06-10 |
Genre | : Mathematics |
ISBN | : 3642111211 |
Lectures: G.E. Sacks: Model theory and applications.- H.J. Keisler: Constructions in model theory.- Seminars: M. Servi: SH formulas and generalized exponential.- J.A. Makowski: Topological model theory.
Author | : Hao Wang |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2014-09-22 |
Genre | : Mathematics |
ISBN | : 0486171043 |
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.