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A Generalized Transition Graph (GTG) is a mathematical model used to represent the behavior of systems, particularly in the context of automata theory and state machines. It extends traditional transition graphs by allowing transitions to be labeled with more complex expressions, including conditions and actions, rather than just simple states. This enables the representation of more intricate systems by capturing both the state changes and the conditions under which those changes occur. GTGs are particularly useful in designing and analyzing algorithms, protocols, and other dynamic systems.

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