Dynamic Complexity of Parity Exists Queries

Given a graph whose nodes may be coloured red, the parity of the number of red nodes can easily be maintained with first-order update rules in the dynamic complexity framework DynFO of Patnaik and Immerman. Can this be generalised to other or even all queries that are definable in first-order logic...

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Bibliographic Details
Main Authors: Nils Vortmeier, Thomas Zeume
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-11-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6639/pdf