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STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 64/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Example: Grids Theorem. Let G be the class of coloured grids. Then MC(MSO,G) is not fixed-parameter tractable unless P=NP. Theorem. Let C be the class of sub-graphs of grids. Then MC(MSO,C) is not fixed-parameter tractable unless P=NP.
STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 64/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Example: Grids Theorem. Let G be the class of coloured grids. Then MC(MSO,G) is not fixed-parameter tractable unless P=NP. Theorem. Let C be the class of sub-graphs of grids. Then MC(MSO,C) is not fixed-parameter tractable unless P=NP.
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