Courcelle's Theorem Made Dynamic

نویسندگان

  • Patricia Bouyer
  • Vincent Jugé
  • Nicolas Markey
چکیده

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 secondorder 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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عنوان ژورنال:
  • CoRR

دوره abs/1702.05183  شماره 

صفحات  -

تاریخ انتشار 2017