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cs.DS2024
What Can Be Computed Locally Revisited: First-Order Logic on Sparse Graphs in Distributed Computing
Lélia Blin, Fedor V. Fomin, Pierre Fraigniaud +5
The question of 'what can be computed locally?' lies at the heart of distributed computing in networks. As established in Naor and Stockmeyer's seminal paper (STOC 1993), this ques…
cs.DS2024
Distributed Model Checking on Graphs of Bounded Treedepth
Fedor V. Fomin, Pierre Fraigniaud, Pedro Montealegre +2
We establish that every monadic second-order logic (MSO) formula on graphs with bounded treedepth is decidable in a constant number of rounds within the CONGEST model. To our knowl…