Finite Model Theory and Its Applications

Released on by Erich Grädel
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  • Finite Model Theory and Its Applications Book Detail

  • Author : Erich Grädel
  • Release Date : 2007-06-04
  • Publisher : Springer Science & Business Media
  • Genre : Computers
  • Pages : 447
  • ISBN 13 : 3540688048
  • File Size : 21,21 MB
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Finite Model Theory and Its Applications by Erich Grädel PDF Summary

Book Description: 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.

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Finite Model Theory and Its Applications

Finite Model Theory and Its Applications

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Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particula

Introduction to Model Theory

Introduction to Model Theory

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Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect.

Model Theory : An Introduction

Model Theory : An Introduction

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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

Model Theory and Applications

Model Theory and Applications

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This volume is a collection of papers on model theory and its applications. The longest paper, "Model Theory of Unitriangular Groups" by O. V. Belegradek, forms

Mathematical Logic and Model Theory

Mathematical Logic and Model Theory

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Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It pr