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Graph Structure and Monadic Second-Order Logic by Joost Engelfriet, Bruno Courcelle

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Introduction

This book contributes to several fields of Fundamental Computer Science. It extends to finite graphs several central concepts and results of Formal Language Theory and it establishes their relationship to results about Fixed-Parameter Tractability. These developments and results have applications in Structural Graph Theory. They make an essential use of logic for expressing graph problems in a formal way and for specifying graph classes and graph transformations. We will start by giving the historical background to these contributions.

Formal Language Theory

This theory has been developed with different motivations. Linguistics and ...

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