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Fine-Grained Bounds for Courcelle's Theorem

cs.DS · 2026-07-02 · unverdicted · novelty 7.0

Proves fine-grained nearly ETH-tight bounds for Courcelle's theorem depending on treewidth t and the number of first-order and second-order variables in each quantifier alternation block of the MSO formula.

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  • Fine-Grained Bounds for Courcelle's Theorem cs.DS · 2026-07-02 · unverdicted · none · ref 48

    Proves fine-grained nearly ETH-tight bounds for Courcelle's theorem depending on treewidth t and the number of first-order and second-order variables in each quantifier alternation block of the MSO formula.