Download EBOOK Finitemodel Theory and Its Applications PDF for free
 
Category: Computing
The author of the book: Erich Grädel
Format files: PDF, EPUB, TXT, DOCX
The size of the: 261 KB
Language: English
ISBN13: 9783540004288
Edition: SpringerVerlag Berlin and Heidelberg GmbH & Co. K
Date of issue: 3 June 2007

Description of the book "Finitemodel Theory and Its Applications":
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 PDF 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 zeroone laws, together with selected applications to database theory and arti?
cial intelligence, es cially constraint databases and constraint satisfaction problems. The ?nal chapter provides ePub a concise modern introduction to modal logic,which emp sizes the continuity in spirit and technique with ?nite model theory.
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Erich Grädel
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