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STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 78/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Lower Bounds for First-Order Logic Theorem. (Dvořák, Kral, Thomas 10) First-Order Model-Checking is fpt on any class of graphs of (locally) bounded expansion. Theorem. (K. 09) If C is not nowhere dense, closed under sub-graphs and satisfies some technical condition, then MC(FO,C) is not fpt unless P=NP.
STEPHAN KREUTZER COMPLEXITY OF MODEL-CHECKING PROBLEMS 78/81 INTRODUCTION COMPLEXITY UPPER BOUNDS COMPOSITION LOCALITY LOCALISATION GRIDS GRID-LIKE MINORS LABELLED WEBS Lower Bounds for First-Order Logic Theorem. (Dvořák, Kral, Thomas 10) First-Order Model-Checking is fpt on any class of graphs of (locally) bounded expansion. Theorem. (K. 09) If C is not nowhere dense, closed under sub-graphs and satisfies some technical condition, then MC(FO,C) is not fpt unless P=NP.
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Towards a Structural Characterisati
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STEPHAN KREUTZER COMPLEXITY OF MODE
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INTRODUCTION COMPLEXITY UPPER BOUND
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