Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications

  • Authors:
  • Bruno Courcelle

  • Affiliations:
  • Institut Universitaire de France, Université Bordeaux-1, LaBRI, CNRS, Talence cedex, France 33405

  • Venue:
  • LATA '09 Proceedings of the 3rd International Conference on Language and Automata Theory and Applications
  • Year:
  • 2009

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Abstract

This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-width and clique-width. It will review applications to the construction of algorithms, to Graph Theory and to the extension to graphs of Formal Language Theory concepts.