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

by Bruno Courcelle, Joost Engelfriet

Part of the Encyclopedia of Mathematics and Its Applications Series

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

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.

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

Book Information

ISBN: 9780521898331
Publication date: 14th June 2012
Author: Bruno Courcelle, Joost Engelfriet
Publisher: Cambridge University Press
Format: Hardback
Pagination: 744 pages
Categories: Mathematical foundations, Discrete mathematics,

About Bruno Courcelle, Joost Engelfriet

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 cole Normale Sup rieure, he was a researcher at INRIA (1972 ), 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.

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