Modulo-counting first-order logic on bounded expansion classes

Jaroslav Nešetřil, Patrice Ossona de Mendez,Sebastian Siebertz

arxiv(2023)

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摘要
We prove that, on bounded expansion classes, every first-order formula with modulo counting is equivalent, in a linear-time computable monadic expansion, to an existential first-order formula.
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关键词
First-order logic,Bounded expansion class,Modulo counting,Model checking,Vertex minor,Matrix calculus
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