عنوان

Graph structure and monadic second-order logic :

Terms of Availability and/or Price

(hardback)

Terms of Availability and/or Price

(hardback)

(Number (ISBN

0521898331

(Number (ISBN

9780521898331

Number

dltt

Title Proper

Graph structure and monadic second-order logic :

General Material Designation

[Book]

Other Title Information

a language-theoretic approach /

First Statement of Responsibility

Bruno Courcelle, Joost Engelfriet

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2012

Specific Material Designation and Extent of Item

xiv, 728 p. :

Other Physical Details

ill. ;

Dimensions

25 cm

Series Title

Encyclopedia of mathematics and its applications ;

Volume Designation

138

Text of Note

Includes bibliographical references (p. [691]-710) and index

Text of Note

Foreword Maurice Nivat; Introduction; 1. Overview; 2. Graph algebras and widths of graphs; 3. Equational and recognizable sets in many-sorted algebras; 4. Equational and recognizable sets of graphs; 5. Monadic second-order logic; 6. Algorithmic applications; 7. Monadic second-order transductions; 8. Transductions of terms and words J. Engelfriet; 9. Relational structures; 10. Conclusion and open problems

0

Text of Note

"The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The author not only provides a thorough description of the theory, but also details its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory"--

Logic, Symbolic and mathematical-- Graphic methods

Class number

Book number

Courcelle, B

Engelfriet, Joost

Date of Transaction

20130927112402.0

Electronic name

[Book]

Y