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.
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Weber, V., Schwentick, T. Dynamic Complexity Theory Revisited. Theory Comput Syst 40, 355–377 (2007). https://doi.org/10.1007/s00224-006-1312-0
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DOI: https://doi.org/10.1007/s00224-006-1312-0