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STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 23/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Examples Example 1: Trees/Forests have tree-width 1 Proposition: Acyclic graphs are precisely the graphs of tree-width 1.
STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 24/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Examples Example 2: 1 2 1,3,11 5 9 3 4 6 7 8 1,3,6,11 1,3,4,11 1,6,9,11 1,2,3,4 3,4,7,11 1,5,6,9 6,9,10,11 4,7,8,11 10 11
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