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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)

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