Model Theory for Beginners. 15 Lectures PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Model Theory for Beginners. 15 Lectures PDF full book. Access full book title Model Theory for Beginners. 15 Lectures by Roman Kossak. Download full books in PDF and EPUB format.
Author: Roman Kossak
Publisher:
ISBN: 9781848903616
Category :
Languages : en
Pages : 152
Get Book Here
Book Description
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: Roman Kossak
Publisher:
ISBN: 9781848903616
Category :
Languages : en
Pages : 152
Get Book Here
Book Description
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: John T. Baldwin
Publisher: Springer
ISBN: 3540480498
Category : Mathematics
Languages : en
Pages : 512
Get Book Here
Book Description
Author: Franziska Jahnke
Publisher:
ISBN: 9783037196847
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 052176324X
Category : Mathematics
Languages : en
Pages : 259
Get Book Here
Book Description
Concise introduction to current topics in model theory, including simple and stable theories.
Author: Charles Baker
Publisher: Createspace Independent Publishing Platform
ISBN: 9781981845309
Category :
Languages : en
Pages : 414
Get Book Here
Book Description
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:
ISBN: 9781107224759
Category : Model theory
Languages : en
Pages : 248
Get Book Here
Book Description
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.
ISBN: 0821827057
Category : Mathematics
Languages : en
Pages : 121
Get Book Here
Book Description
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
ISBN: 9783540653066
Category : Computers
Languages : en
Pages : 714
Get Book Here
Book Description
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: Hao Wang
Publisher: Courier Corporation
ISBN: 0486171043
Category : Mathematics
Languages : en
Pages : 290
Get Book Here
Book Description
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.
Author: F.W. Lawvere
Publisher: Springer
ISBN: 3540374957
Category : Mathematics
Languages : en
Pages : 352
Get Book Here
Book Description
A Collection of Lectures by Variuos Authors
