Finite Model Theory And Its Applications PDF Download
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Author | : Erich Grädel |
Publisher | : Springer Science & Business Media |
Total Pages | : 447 |
Release | : 2007-06-04 |
Genre | : Computers |
ISBN | : 3540688048 |
Download Finite Model Theory and Its Applications Book in PDF, ePub and Kindle
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 | : Leonid Libkin |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662070030 |
Download Elements of Finite Model Theory Book in PDF, ePub and Kindle
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 | : Heinz-Dieter Ebbinghaus |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2005-12-29 |
Genre | : Mathematics |
ISBN | : 3540287884 |
Download Finite Model Theory Book in PDF, ePub and Kindle
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 | : Jiacun Wang |
Publisher | : CRC Press |
Total Pages | : 409 |
Release | : 2016-04-19 |
Genre | : Computers |
ISBN | : 1439846197 |
Download Handbook of Finite State Based Models and Applications Book in PDF, ePub and Kindle
Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on fini
Author | : Grdel |
Publisher | : |
Total Pages | : 450 |
Release | : 2009-12-01 |
Genre | : |
ISBN | : 9788184895032 |
Download Finite Model Theory And Its Applications Book in PDF, ePub and Kindle
Author | : Wilfrid Hodges |
Publisher | : Cambridge University Press |
Total Pages | : 810 |
Release | : 1993-03-11 |
Genre | : Mathematics |
ISBN | : 9780521304429 |
Download Model Theory Book in PDF, ePub and Kindle
Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.
Author | : Wilfrid Hodges |
Publisher | : Cambridge University Press |
Total Pages | : 322 |
Release | : 1997-04-10 |
Genre | : Mathematics |
ISBN | : 9780521587136 |
Download A Shorter Model Theory Book in PDF, ePub and Kindle
This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
Author | : Alan Palazzolo |
Publisher | : John Wiley & Sons |
Total Pages | : 973 |
Release | : 2016-01-11 |
Genre | : Technology & Engineering |
ISBN | : 1118404262 |
Download Vibration Theory and Applications with Finite Elements and Active Vibration Control Book in PDF, ePub and Kindle
Based on many years of research and teaching, this book brings together all the important topics in linear vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotordynamics, model reduction methods, and finite element methods utilizing truss, beam, membrane and solid elements. It also explores in detail active vibration control, instability and modal analysis. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively.
Author | : David Marker |
Publisher | : Springer Science & Business Media |
Total Pages | : 342 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387227342 |
Download Model Theory : An Introduction Book in PDF, ePub and Kindle
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Author | : Alexandre Ern |
Publisher | : Springer Science & Business Media |
Total Pages | : 531 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475743556 |
Download Theory and Practice of Finite Elements Book in PDF, ePub and Kindle
This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.