Dynamic Complexity Theory Revisited

  • Authors:
  • Volker Weber;Thomas Schwentick

  • Affiliations:
  • Fachbereich Informatik, Universitat Dortmund, D-44227 Dortmund, Germany;Fachbereich Informatik, Universitat Dortmund, D-44227 Dortmund, Germany

  • Venue:
  • Theory of Computing Systems
  • Year:
  • 2007

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Abstract

Dynamic complexity investigates the required effort to maintain knowledge about a property of a structure under changing operations. This article introduces a refined notion of dynamic problems which takes the initial structure into account. It develops the basic structural complexity notions accordingly. It also shows that the dynamic version of the LOGCFL-complete problem D2LREACH(acyclic) can be maintained with first-order updates.