Courcelle's Theorem Made Dynamic

Patricia Bouyer-Decitre; Vincent Jugé; Nicolas Markey

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arXiv · 1702.05183

Courcelle's Theorem Made Dynamic

Patricia Bouyer-Decitre·Vincent Jugé·Nicolas Markey

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Abstract

Dynamic complexity is concerned with updating the output of a problem when the input is slightly changed. We study the dynamic complexity of model checking a fixed monadic second-order formula over evolving subgraphs of a fixed maximal graph having bounded tree-width; here the subgraph evolves by losing or gaining edges (from the maximal graph). We show that this problem is in DynFO (with LOGSPACE precomputation), via a reduction to a Dyck reachability problem on an acyclic automaton.

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Patricia Bouyer-Decitre, Vincent Jugé, Nicolas Markey. 2017-02-16. Courcelle's Theorem Made Dynamic. https://arxiv.org/abs/1702.05183

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