Finite Model Theory And Its Applications
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Finite Model Theory And Its Applications
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Author : Erich Grädel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-04
Finite Model Theory And Its Applications written by Erich Grädel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-04 with Computers categories.
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.
Finite Model Theory And Its Applications
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Author : Grdel
language : en
Publisher:
Release Date : 2009-12-01
Finite Model Theory And Its Applications written by Grdel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with categories.
Elements Of Finite Model Theory
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Author : Leonid Libkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Elements Of Finite Model Theory written by Leonid Libkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
Finite Model Theory
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-29
Finite Model Theory written by Heinz-Dieter Ebbinghaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-29 with Mathematics categories.
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.
Finite Model Theory
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Finite Model Theory written by Heinz-Dieter Ebbinghaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
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.
Handbook Of Finite State Based Models And Applications
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Author : Jiacun Wang
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Handbook Of Finite State Based Models And Applications written by Jiacun Wang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
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
Model Theory And Its Applications
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Author : Ralph Kopperman
language : en
Publisher:
Release Date : 1972
Model Theory And Its Applications written by Ralph Kopperman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Model theory categories.
In order to understand many of the proofs in this text the reader should have a one-semester background in set theory, including discussions of ordinal numbers, general a Cartesian products, cardinal arithmetic, and several forms of the axiom choice.
Finite Model Theory
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer
Release Date : 2014-03-12
Finite Model Theory written by Heinz-Dieter Ebbinghaus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Mathematics categories.
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.
Model Theory
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Author : Wilfrid Hodges
language : en
Publisher: Cambridge University Press
Release Date : 1993-03-11
Model Theory written by Wilfrid Hodges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-11 with Mathematics categories.
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.
Beyond First Order Model Theory Volume Ii
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Author : Jose Iovino
language : en
Publisher: CRC Press
Release Date : 2023-07-03
Beyond First Order Model Theory Volume Ii written by Jose Iovino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-03 with Mathematics categories.
A coherent introduction to current trends in model theory Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together Suitable as a reference for advanced undergraduate, postgraduates, and researchers Material presented in the book (e.g, abstract elementary classes, first-order logics with dependent sorts, and applications of infinitary logics in set theory) is not easily accessible in the current literature The various chapters in the book can be studied independently.