Query maintenance under batch changes with small-depth circuits
Autor: | Datta, Samir, Khan, Asif, Mukherjee, Anish, Tschirbs, Felix, Vortmeier, Nils, Zeume, Thomas |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Which dynamic queries can be maintained efficiently? For constant-size changes, it is known that constant-depth circuits or, equivalently, first-order updates suffice for maintaining many important queries, among them reachability, tree isomorphism, and the word problem for context-free languages. In other words, these queries are in the dynamic complexity class DynFO. We show that most of the existing results for constant-size changes can be recovered for batch changes of polylogarithmic size if one allows circuits of depth O(log log n) or, equivalently, first-order updates that are iterated O(log log n) times. Comment: Full version of an MFCS 2024 paper |
Databáze: | arXiv |
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