Book Description
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Author : John T. Baldwin
Publisher : Cambridge University Press
Page : 365 pages
File Size : 15,72 MB
Release : 2018-01-25
Category : Mathematics
ISBN : 1107189217
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 219 pages
File Size : 20,86 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 0080954758
Model Theory For Infinitary Logic
Author : David Marker
Publisher : Cambridge University Press
Page : 192 pages
File Size : 22,12 MB
Release : 2016-10-27
Category : Mathematics
ISBN : 1107181933
This book is the first modern introduction to the logic of infinitary languages in forty years, and is aimed at graduate students and researchers in all areas of mathematical logic. Connections between infinitary model theory and other branches of mathematical logic, and applications to algebra and algebraic geometry are both comprehensively explored.
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 49,97 MB
Release : 2005-12-29
Category : Mathematics
ISBN : 3540287884
This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.
Author : M. A. Dickmann
Publisher : North-Holland
Page : 490 pages
File Size : 37,69 MB
Release : 1975
Category : Infinitary languages
ISBN :
Author : H. Jerome Keisler
Publisher :
Page : 230 pages
File Size : 18,43 MB
Release : 1971
Category : Infinitary languages
ISBN :
Provability, Computability and Reflection.
Author : S. Shelah
Publisher : Elsevier
Page : 741 pages
File Size : 50,99 MB
Release : 1990-12-06
Category : Computers
ISBN : 008088024X
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 : Katrin Tent
Publisher : Cambridge University Press
Page : 259 pages
File Size : 21,73 MB
Release : 2012-03-08
Category : Mathematics
ISBN : 052176324X
Concise introduction to current topics in model theory, including simple and stable theories.
Author : Erich Grädel
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 29,58 MB
Release : 2007-06-04
Category : Computers
ISBN : 3540688048
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.
Author : D. W. Kueker
Publisher : Springer
Page : 214 pages
File Size : 16,96 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540379495
A Collection of Papers by Varoius Authors