Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Model Theoretic Logics PDF full book. Access full book title Model Theoretic Logics.
| Author | : J. Barwise |
| Publisher | : Cambridge University Press |
| Total Pages | : 912 |
| Release | : 2017-03-02 |
| Genre | : Mathematics |
| ISBN | : 1107168252 |
This book brings together several directions of work in model theory between the late 1950s and early 1980s.
| Author | : James W. Garson |
| Publisher | : Cambridge University Press |
| Total Pages | : 303 |
| Release | : 2013-11-14 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 110703910X |
This book explains how the meanings of the symbols of logic are determined by the rules that govern them.
| Author | : Razvan Diaconescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 377 |
| Release | : 2008-08-01 |
| Genre | : Mathematics |
| ISBN | : 3764387084 |
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.
| Author | : J. Barwise |
| Publisher | : |
| Total Pages | : 913 |
| Release | : 2017 |
| Genre | : Model theory |
| ISBN | : 9781316752906 |
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.
| Author | : Erich Grädel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 447 |
| Release | : 2007-06-04 |
| Genre | : 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 | : Heinz-Dieter Ebbinghaus |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 363 |
| Release | : 2005-12-29 |
| Genre | : 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 | : Leonid Libkin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662070030 |
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.
| Author | : S. Shelah |
| Publisher | : Elsevier |
| Total Pages | : 740 |
| Release | : 1990-12-06 |
| Genre | : Mathematics |
| ISBN | : 9780080880242 |
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.
| Author | : Johan van Benthem |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 2013-03-09 |
| Genre | : Philosophy |
| ISBN | : 9401579474 |
The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.
| Author | : Alexander Prestel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 198 |
| Release | : 2011-08-21 |
| Genre | : Mathematics |
| ISBN | : 1447121767 |
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.
