Graph Structure and Monadic Second-Order Logic: A Language-Theoretic Approach

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Bruno Courcelle (Université de Bordeaux) Joost Engelfriet (Associate Professor, Universiteit Leiden)

Graph Structure and Monadic Second-Order Logic

A Language-Theoretic Approach

Bruno Courcelle (Université de Bordeaux), Joost Engelfriet (Associate Professor, Universiteit Leiden)

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English

Cambridge University Press
14 June 2012

Mathematical foundations; Discrete mathematics

Series: Encyclopedia of Mathematics and its Applications

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.

By: Bruno Courcelle (Université de Bordeaux), Joost Engelfriet (Associate Professor, Universiteit Leiden)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 138
Dimensions: Height: 240mm, Width: 160mm, Spine: 41mm
Weight: 1.270kg
ISBN: 9780521898331
ISBN 10: 0521898331
Series: Encyclopedia of Mathematics and its Applications
Pages: 744
Publication Date: 14 June 2012
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Bruno Courcelle is a Professor at Bordeaux 1 University and a member of LaBRI (the Bordeaux Laboratory of Computer Science, CNRS) and of the Institut Universitaire de France. After studying at the École Normale Supérieure, he was a researcher at INRIA (1972–8), before becoming a Professor at Bordeaux in 1979. He obtained his PhD (supervised by M. Nivat), in 1976. He is on the editorial boards for the journals Information and Computation and Logical Methods in Computer Science.

Reviews for Graph Structure and Monadic Second-Order Logic: A Language-Theoretic Approach

'In its huge breadth and depth the authors manage to provide a comprehensive study of monadic second-order logic on graphs covering almost all aspects of the theory that can be presented from a language theoretical or algebraic point of view. There is currently no other textbook or any other source that matches the range of materials covered in this book. As such it is a fantastic resource for those who to study this area [and] will undoubtedly turn into the standard reference for this area.' Stephan Kreutzer, Mathematical Reviews In its huge breadth and depth the authors manage to provide a comprehensive study of monadic second-order logic on graphs covering almost all aspects of the theory that can be presented from a language theoretical or algebraic point of view. There is currently no other textbook or any other source that matches the range of materials covered in this book. As such it is a fantastic resource for those who to study this area [and] will undoubtedly turn into the standard reference for this area. Stephan Kreutzer, Mathematical Reviews