Finite Model Theory and Its Applications

Finite Model Theory and Its Applications
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.


Finite Model Theory and Its Applications
Language: en
Pages: 447
Authors: Erich Grädel
Categories: Computers
Type: BOOK - Published: 2007-06-04 - 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

Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of
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

This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiom
Finite Model Theory And Its Applications
Language: en
Pages: 450
Authors: Grdel
Categories:
Type: BOOK - Published: 2009-12-01 - Publisher:

GET EBOOK

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