Author: John T. Baldwin
Publisher: Cambridge University Press
ISBN: 1107189217
Category : Mathematics
Languages : en
Pages : 365
Book Description
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Model Theory and the Philosophy of Mathematical Practice
Author: John T. Baldwin
Publisher: Cambridge University Press
ISBN: 1107189217
Category : Mathematics
Languages : en
Pages : 365
Book Description
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Publisher: Cambridge University Press
ISBN: 1107189217
Category : Mathematics
Languages : en
Pages : 365
Book Description
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Model Theory For Infinitary Logic
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954758
Category : Mathematics
Languages : en
Pages : 219
Book Description
Model Theory For Infinitary Logic
Publisher: Elsevier
ISBN: 0080954758
Category : Mathematics
Languages : en
Pages : 219
Book Description
Model Theory For Infinitary Logic
Lectures on Infinitary Model Theory
Author: David Marker
Publisher: Cambridge University Press
ISBN: 1107181933
Category : Mathematics
Languages : en
Pages : 192
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1107181933
Category : Mathematics
Languages : en
Pages : 192
Book Description
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.
Large Infinitary Languages
Author: M. A. Dickmann
Publisher: North-Holland
ISBN:
Category : Infinitary languages
Languages : en
Pages : 490
Book Description
Publisher: North-Holland
ISBN:
Category : Infinitary languages
Languages : en
Pages : 490
Book Description
Finite Model Theory
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3540287884
Category : Mathematics
Languages : en
Pages : 363
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540287884
Category : Mathematics
Languages : en
Pages : 363
Book Description
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.
Model Theory for Infinitary Logic
Author: H. Jerome Keisler
Publisher:
ISBN:
Category : Infinitary languages
Languages : en
Pages : 230
Book Description
Provability, Computability and Reflection.
Publisher:
ISBN:
Category : Infinitary languages
Languages : en
Pages : 230
Book Description
Provability, Computability and Reflection.
A Course in Model Theory
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 052176324X
Category : Mathematics
Languages : en
Pages : 259
Book Description
Concise introduction to current topics in model theory, including simple and stable theories.
Publisher: Cambridge University Press
ISBN: 052176324X
Category : Mathematics
Languages : en
Pages : 259
Book Description
Concise introduction to current topics in model theory, including simple and stable theories.
Classification Theory
Author: S. Shelah
Publisher: Elsevier
ISBN: 008088024X
Category : Computers
Languages : en
Pages : 741
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
Publisher: Elsevier
ISBN: 008088024X
Category : Computers
Languages : en
Pages : 741
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
Model-Theoretic Logics
Author: J. Barwise
Publisher: Cambridge University Press
ISBN: 1107168252
Category : Mathematics
Languages : en
Pages : 912
Book Description
This book brings together several directions of work in model theory between the late 1950s and early 1980s.
Publisher: Cambridge University Press
ISBN: 1107168252
Category : Mathematics
Languages : en
Pages : 912
Book Description
This book brings together several directions of work in model theory between the late 1950s and early 1980s.
Finite Model Theory and Its Applications
Author: Erich Grädel
Publisher: Springer Science & Business Media
ISBN: 3540688048
Category : Computers
Languages : en
Pages : 447
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540688048
Category : Computers
Languages : en
Pages : 447
Book Description
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.