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STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 48/81<br />
INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS<br />
Localisation of Graph Invariants<br />
Theorem: First-order model checking is fixed-parameter tractable on<br />
• planar graphs (Frick, Grohe 01)<br />
• graphs of locally bounded tree-width (Frick, Grohe 01)