Graph Structure and Monadic Second-Order Logic

A Language-Theoretic Approach

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Logic
Cover of the book Graph Structure and Monadic Second-Order Logic by Bruno Courcelle, Joost Engelfriet, Cambridge University Press
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Author: Bruno Courcelle, Joost Engelfriet ISBN: 9781139637862
Publisher: Cambridge University Press Publication: June 14, 2012
Imprint: Cambridge University Press Language: English
Author: Bruno Courcelle, Joost Engelfriet
ISBN: 9781139637862
Publisher: Cambridge University Press
Publication: June 14, 2012
Imprint: Cambridge University Press
Language: English

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.

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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.

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