Graph structure and monadic second-order logic : a language-theoretic approach / Bruno Courcelle, Joost Engelfriet.

Format:

Book

Author/Creator:

Courcelle, B., author.

Engelfriet, Joost, author.

Series:

Encyclopedia of mathematics and its applications ; v. 138.

Encyclopedia of mathematics and its applications ; volume 138

Language:

English

Subjects (All):

Logic, Symbolic and mathematical--Graphic methods.

Logic, Symbolic and mathematical.

Physical Description:

1 online resource (xiv, 728 pages) : digital, PDF file(s).

Other Title:

Graph Structure & Monadic Second-Order Logic

Place of Publication:

Cambridge : Cambridge University Press, 2012.

Summary:

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 authors not only provide a thorough description of the theory, but also detail 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.

Contents:

Machine generated contents 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; References; Index.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-139-63300-7

1-139-64937-X

1-139-63786-X

0-511-97761-1

1-139-63543-3

1-139-64173-5

1-139-64841-1

1-139-63889-0