Finite Model Theory and Its Applications

Finite Model Theory and Its Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 447
Release :
ISBN-10 : 9783540688044
ISBN-13 : 3540688048
Rating : 4/5 (048 Downloads)

Book Synopsis Finite Model Theory and Its Applications by : Erich Grädel

Download or read book Finite Model Theory and Its Applications written by Erich Grädel and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Finite Model Theory and Its Applications
Language: en
Pages: 447
Authors: Erich Grädel
Categories: Computers
Type: BOOK - Published: 2007-04-24 - Publisher: Springer Science & Business Media

GET EBOOK

Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particula
Elements of Finite Model Theory
Language: en
Pages: 320
Authors: Leonid Libkin
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

GET EBOOK

Finite model theory is an area of mathematical logic that grew out of computer science applications. The main sources of motivational examples for finite model
Finite Model Theory
Language: en
Pages: 363
Authors: Heinz-Dieter Ebbinghaus
Categories: Mathematics
Type: BOOK - Published: 2005-12-29 - Publisher: Springer Science & Business Media

GET EBOOK

Finite model theory, the model theory of finite structures, has roots in clas sical model theory; however, its systematic development was strongly influ enced b
Handbook of Finite State Based Models and Applications
Language: en
Pages: 409
Authors: Jiacun Wang
Categories: Computers
Type: BOOK - Published: 2016-04-19 - Publisher: CRC Press

GET EBOOK

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) hav
Model Order Reduction Techniques with Applications in Finite Element Analysis
Language: en
Pages: 400
Authors: Zu-Qing Qu
Categories: Computers
Type: BOOK - Published: 2004-08-10 - Publisher: Springer Science & Business Media

GET EBOOK

This monograph explains the principles and applications of model reduction techniques, and the dynamic condensation technique in particular. It covers all the p