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Published online by Cambridge University Press: 04 March 2009
The notion of a dynamic labeled 2-structure(dℓ2s) is introduced and investigated. It generalizes the notion of a labeled 2-structure (ℓ2s) (Ehrenfeucht and Rozenberg 1990), by making it possible to change the (label) relationships between the nodes. This is achieved by storing in the nodes of a ℓ2s output and input functions that can change the outgoing and incoming labels, respectively. The notion of a clan, which is central in the theory of ℓ2s's is transferred to the framework of dℓ2s's, and the basic properties of clans of dℓ2s's are investigated.