In mathematics, computer science and logic, convergence refers to the idea that different sequences of transformations come to a conclusion in a finite amount of time (the transformations are terminating), and that the conclusion reached is independent of the path taken to get to it (they are confluent).
More formally, a preordered set of term rewriting transformations are said to be convergent if they are confluent and terminating.
References
Convergence (logic) Wikipedia(Text) CC BY-SA