Download Full eBooks in PDF
Finite Model Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Finite Model Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Leonid Libkin
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 42,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662070031
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,Jörg Flum
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 46,5 Mb
Release : 2005-12-29
Category : Mathematics
ISBN : 9783540287889
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 : Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 54,5 Mb
Release : 2007-06-04
Category : Computers
ISBN : 9783540688044
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,Jörg Flum
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 54,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662031827
Finite model theory has its origin in classical model theory, but owes its systematic development to research from complexity theory. The book 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. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the resp. parts on model theory and descriptive complexity theory may be read independently.
Author : Javier Esparza,Christian Michaux,Charles Steinhorn
Publisher : Cambridge University Press
Page : 355 pages
File Size : 50,7 Mb
Release : 2011-03-10
Category : Computers
ISBN : 9780521718202
Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
Author : Heinz-Dieter Ebbinghaus,Jörg Flum
Publisher : Springer
Page : 327 pages
File Size : 41,8 Mb
Release : 2014-03-12
Category : Mathematics
ISBN : 3662031833
Finite model theory has its origin in classical model theory, but owes its systematic development to research from complexity theory. The book 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. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the resp. parts on model theory and descriptive complexity theory may be read independently.
Author : Wilfrid Hodges
Publisher : Cambridge University Press
Page : 322 pages
File Size : 46,7 Mb
Release : 1997-04-10
Category : Mathematics
ISBN : 0521587131
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 : Gregory L. Cherlin,Ehud Hrushovski
Publisher : Princeton University Press
Page : 204 pages
File Size : 47,9 Mb
Release : 2003
Category : Mathematics
ISBN : 0691113319
This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups. Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory, classical geometries, and combinatorics. The principal results are finite theorems, an associated analysis of computational issues, and an "intrinsic" characterization of the permutation groups (or finite structures) under consideration. The main finiteness theorem shows that the structures under consideration fall naturally into finitely many families, with each family parametrized by finitely many numerical invariants (dimensions of associated coordinating geometries). The authors provide a case study in the extension of methods of stable model theory to a nonstable context, related to work on Shelah's "simple theories." They also generalize Lachlan's results on stable homogeneous structures for finite relational languages, solving problems of effectivity left open by that case. Their methods involve the analysis of groups interpretable in these structures, an analog of Zilber's envelopes, and the combinatorics of the underlying geometries. Taking geometric stability theory into new territory, this book is for mathematicians interested in model theory and group theory.
Author : Wilfrid Hodges
Publisher : Cambridge University Press
Page : 810 pages
File Size : 55,8 Mb
Release : 1993-03-11
Category : Mathematics
ISBN : 0521304423
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 : David Marker
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 44,6 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387227344
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 : F.W. Lawvere,C. Maurer,G.C. Wraith
Publisher : Springer
Page : 352 pages
File Size : 46,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540374954
A Collection of Lectures by Variuos Authors
Author : Alexandre Ern,Jean-Luc Guermond
Publisher : Springer Science & Business Media
Page : 531 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475743555
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.
Author : Jiacun Wang
Publisher : CRC Press
Page : 409 pages
File Size : 49,5 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781439846193
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 : H.-D. Ebbinghaus,J. Flum,Wolfgang Thomas
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 51,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475723557
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Author : Geoffrey McLachlan,David Peel
Publisher : John Wiley & Sons
Page : 419 pages
File Size : 55,6 Mb
Release : 2004-03-22
Category : Mathematics
ISBN : 9780471654063
An up-to-date, comprehensive account of major issues in finitemixture modeling This volume provides an up-to-date account of the theory andapplications of modeling via finite mixture distributions. With anemphasis on the applications of mixture models in both mainstreamanalysis and other areas such as unsupervised pattern recognition,speech recognition, and medical imaging, the book describes theformulations of the finite mixture approach, details itsmethodology, discusses aspects of its implementation, andillustrates its application in many common statisticalcontexts. Major issues discussed in this book include identifiabilityproblems, actual fitting of finite mixtures through use of the EMalgorithm, properties of the maximum likelihood estimators soobtained, assessment of the number of components to be used in themixture, and the applicability of asymptotic theory in providing abasis for the solutions to some of these problems. The author alsoconsiders how the EM algorithm can be scaled to handle the fittingof mixture models to very large databases, as in data miningapplications. This comprehensive, practical guide: * Provides more than 800 references-40% published since 1995 * Includes an appendix listing available mixture software * Links statistical literature with machine learning and patternrecognition literature * Contains more than 100 helpful graphs, charts, and tables Finite Mixture Models is an important resource for both applied andtheoretical statisticians as well as for researchers in the manyareas in which finite mixture models can be used to analyze data.
