California State University, Northridge WordmarkOviatt Library WordmarkOviatt Library Catalog Wordmark
Author Courcelle, B.
Title Graph structure and monadic second-order logic : a language-theoretic approach / Bruno Courcelle, Joost Engelfriet.
Published Cambridge ; New York : Cambridge University Press, 2012.
Book Cover
 Floor4  QA9 .C748 2012    IN LIBRARY
Description xiv, 728 p. : ill. ; 25 cm.
Series Encyclopedia of mathematics and its applications ; 138
Encyclopedia of mathematics and its applications ; v. 138.
Bibliography Includes bibliographical references (p. [691]-710) and index.
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.
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 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"-- Provided by publisher.
Subject Logic, Symbolic and mathematical -- Graphic methods.
Related Names Engelfriet, Joost.
ISBN 0521898331 (hardback)
9780521898331 (hardback)
OCLC number 779740328